output
stringlengths 1
34.7k
| input
stringlengths 0
9.32k
| instruction
stringlengths 10
17.2k
|
|---|---|---|
A, Explanation: Let x = red sweets
Write the items in the ratio as a fraction.
red/green=3/4=x/120
3 × 120 = 4 × x
360 = 4x
x=360/4=90
Answer:A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how many red sweets are there? options: (A)90, (B)80, (C)95, (D)100, (E)85 |
C, Explanation: Let, n be the number of members in the club.Then,
250 =(n x [2×7+(n+1)×3/12]) / 2.
n =25.
Hence, the number of members in the club is 25.
Answer : C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A club consists of members whose ages are in A.P. The common difference being 3 months. If the youngest member of the club is just 7 years old and the sum of the ages of all the members is 250, then number of members in the club are : options: (A)18, (B)20, (C)25, (D)26, (E)27 |
D, Explanation: Initial contribution = D/m
After 3 men drop out, then the contribution = D/M-3
the extra amount to pay = (D/m-3)-D/m
=D(m-m+3)/)(m^2-3*m)
= 3D/(m^2-3*m)
ANSWER:D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | M men agree to purchase a gift for Rs. D. If 3 men drop out how much more will each have to contribute towards the purchase of the gift? options: (A)D/(M-3), (B)MD/3, (C)M/(D-3), (D)3D/(M2-3M), (E)None of these |
E, Explanation: Cost of a sewing machine = Rs. 1200/-
By giving 20% discount on the marked price of a sewing machine, the cost price is :
100/80 * 1200 = Rs. 1500/- By making a profit of 20% on the cost price of a sewing machine, the marked price of the sewing machine is:
120/100 × 1500 = Rs. 1,800/-
ANSWER: 3 | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | At what price should the Karan mark a sewing machine that costs him Rs. 1200/- so that even after offering a 20% discount, he makes 20% profit? options: (A)1,879, (B)1,875, (C)1,876, (D)1,872, (E)1,800 |
A, Explanation: Distance covered by train A before the train B leaves
Mumbai Central = 40 × 3 = 120 km
Time taken to cross each other = 120⁄12 = 10 hours
Required time = 2pm + 10 = 12 am on the next day
Answer A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Train ‘A’ leaves Mumbai Central for Lucknow at 11 am, running at the speed of 40 kmph. Train ‘B’ leaves Mumbai Central for Lucknow by the same route at 2 pm on the same day, running at the speed of 72 kmph. At what time will the two trains meet each other? options: (A)12 am on the next day, (B)5 am on the next day, (C)5 pm on the next day, (D)2 pm on the next day, (E)None of these |
B, Explanation: Let the money with Mark and John are M and J, respectively.
Now
M + J/2 = 75
M/3 + J = 75
Solving we get M = 45, and J = 60.
Answer:B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Mark told John "If you give me half your money I will have Rs.75. John said, "if you give me one third of your money, I will have Rs.75/-. How much money did John have ? options: (A)22, (B)60, (C)28, (D)26, (E)18 |
D, Explanation: Starting from 1 Water Lilly it takes 60 days.
If there are already two present, it can be taken as the first day is over.
It will take 59 more days.
Notice that we are told thatthe number of water lilies on a certain lake doubles every two days, thus if initially there were 64 water lilies instead of one, we can consider that 7 days are over and therefore only 53 days are left.
Answer: D. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The number of water lilies on a certain lake doubles every two days. If there is exactly one water lily on the lake, it takes 60 days for the lake to be fully covered with water lilies. In how many days will the lake be fully covered with lilies, if initially there were 64 water lilies on it? options: (A)15, (B)28, (C)30, (D)53, (E)59 |
B, Explanation: Amount of work completed by 1 man in 1 day, working 1 hours a day = x/x3=1/x2
Amount of work y men in y days, working y hours a day = y3 × (1/x2) = y3/x2 . Answer : Option B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | x men working x hours per day can do x units of a work in x days. How much work can be completed by y men working y hours per day in y days? options: (A)x2/y2 units, (B)y3/x2 units, (C)x3/y2 units, (D)y2/x2 units, (E)None of these |
D, Explanation: The number of polygons with k sides that can be formed by joining them is nCk
for quadrilaterals k=4
it has 6 sides n=6
6C4=15
Answer is D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | ABCDE is a regular pentagon with F at its center. How many different quadrilaterals can be formed by joining 4 of the points A,B,C,D,E and F? options: (A)12, (B)10, (C)5, (D)15, (E)20 |
B, Explanation: B bisects minor arc AC means Arc BC is 80 degrees. Now , we have arc BD = 150, therefore CD = 70.
Now, Arc AC = 160 , CD = 70 => Arc AD = 360-230 = 130
Answer B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Points A, B, C, D lie in this order on the circumference of a circle. Minor arc AC is 160°, and minor arc BD is 150°. If B bisects minor arc AC, then what is the measure of minor arc AD? options: (A)80°, (B)130°, (C)140°, (D)160°, (E)220° |
A, Explanation: Winter = 75
Both = 40
Neither = 20
Winter + Summer - Both + Neither = 100
75 + Summer - 40 + 20 = 100
Summer = 45
Summer but not winter Q= Summer only = Summer - Both(i.e. summer overlap with winter) = 45 - 40 = 5
Answer: A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and 20 percent take neither a winter nor a summer vacation, what Q percent of the employees take a summer vacation but not a winter vacation? options: (A)5%, (B)15%, (C)25%, (D)35%, (E)45% |
D, Explanation: 1/2 * d (10 + 6)
= 640
d = 80
Answer: D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The cross-section of a canal is shaped like a trapezium. If the canal is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 square meters, the depth of cannel is? options: (A)26, (B)28, (C)21, (D)80, (E)23 |
C, Explanation: Knowing that the team lost 30 % of their matches, it has won 70 % of their matches
Total matches = 20 / (70/ 100) = 14
Hence number of matches that the team lost = 20 x 14/100 = 3=C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | During one season, a tennis team won 20 matches and lost 30% of their matches. What was the number of matches that the team lost? options: (A)70, (B)30, (C)3, (D)7, (E)5 |
D, Explanation: 60 seconds - 300 revolutions
30 seconds - 150 revolutions
distance travelled in 1 revolution = 2*pi*r
distance travelled in 150 revolutions = 300*pi*r
= 3000pi
Answer is D. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A point on the edge of a fan blade that is rotating in a plane 10 centimeters from the center of the fan. What is the distance traveled, in centimeters, by this point after 30 seconds when the fan runs at the rate of 300 revolutions per minutes? options: (A)750pi, (B)1500pi, (C)1875pi, (D)3000pi, (E)7500pi |
D, Explanation: 36 ≤ n ≤ 72
x = (n2 + 2√n(n + 4) + 16) / (n+ 4√n+ 4)
Put x = 36,
x = (362 + 2√36(36 + 4) + 16) / (36+ 4√36+ 4)
i.e which is least value for n = 28.
Answer : D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | If n is such that 36 ≤ n ≤ 72, then x = (n2 + 2√n(n + 4) + 16) / (n+ 4√n+ 4) satisfies options: (A)20 < x < 54, (B)23 < x < 58, (C)25 < x < 64, (D)28 < x < 60, (E)None of these |
C, Explanation: Let the length of the space shuttle be x metres and its speed be y m/sec. Then, x / y = 1 ⇒ y = x / 5
∴ (x + 700) / 40 = x / 5 ⇔ x = 100 m. Answer C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | At its maximum speed, a space shuttle can travel 700m high in 40 seconds. It will also take 5 seconds to pass a point. What then is the length of the space shuttle? options: (A)50 m, (B)75 m, (C)100 m, (D)125 m, (E)150 m |
B, Explanation: Assume that C was there in the business for x months
A:B:C = 40000*12 : 60000*10 : 120000*x
= 40*12 : 60*10 : 120x = 40 : 5*10 : 10x
=8 : 10 : 2x
= 4 : 5 : x
C's share = 375000*x/(9+x) = 150000
=> 375x/(9+x) = 150
=> 15x = 6(9+x)
=> 5x = 18 + 2x
=> 3x = 18
=> x = 18/3 = 6
It means C was there in the business for 6 months. Given that B joined the business
after 2 months. Hence C joined after 4 months after B joined
Answer is B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.120,000. At the end of the year, out of a total profit of Rs.375,000, C gets Rs.150,000 as his share. How many months after B joined the business, did C join? options: (A)2 months, (B)4 months, (C)23 months, (D)24 months, (E)84 months |
C, Explanation: (5 * 3.5)/2 = 8.75
Answer:C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper? options: (A)8.75, (B)8.79, (C)8.75, (D)8.71, (E)8.72 |
A, Explanation: M + N / 8
formular for avg speed is total distance / total time
Time spent running = 4 and the time spent biking = 4
total time is 4 + 4 = 8
Total distance is M+ N
Thus A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | An athlete runs M miles in 4 hours, then rides a bike N miles in the same number of hours. Which of the following represents the average speed, in miles per hour, for these two activities combined? options: (A)M + N / 8, (B)2M + N / 8, (C)M + N / 4, (D)M + 3N / 8, (E)M + N / 5 |
D, Explanation: To complete a work for 6 days, 8 men are required.
For completing a work in 1 day = 6*8
= 48 men
For completing a work in half a day (1/2) = 48*2
= 96 men
ANSWER:D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | 8 man work for 6 days to complete a work. How many men are required to complete same work in 1/2 day. options: (A)93 men, (B)94 men, (C)95 men, (D)96 men, (E)97 men |
E, Explanation: Let us say x boys and x girls joined the group.
(64 + x)/(40 + x) = 4/3
192 + 3x = 160 + 4x => x = 32
Number of members in the group = 64 + x + 40 + x
= 104 + 2x = 168.
Answer:E | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | 64 boys and 40 girls form a group for social work. During their membership drive, the same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4:3? options: (A)277, (B)288, (C)200, (D)277, (E)168 |
B, Explanation: At 12 miles per hour, to cover 48 miles the cyclist will need 4 hours or 240 minutes.
Answer: B. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A cyclist travels at 12 miles per hour. How many minutes will it take to travel 48 miles? options: (A)1, (B)240, (C)30, (D)60, (E)120 |
A, Explanation: In the last 70 miles of his approach to B, Kevin was traveling at 70 mph, so he traveled that distance in 1 hr, or 60 minutes. That means, when he arrived at B, 60 minutes had elapsed, and he took (3 hr) – (1 hr) = 2 hr to drive the distance D at 90 mph.
D = RT = (90 mph)[ (2 hr] = 180 mi
Answer = (A) | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Kevin drove from A to B at a constant speed of 70 mph. Once he reached B, he turned right around with pause, and returned to A at a constant speed of 90 mph. Exactly 3 hours before the end of his trip, he was still approaching B, only 70 miles away from it. What is the distance between A and B? options: (A)180, (B)90, (C)270, (D)360, (E)None of the above |
A, Explanation: 2/3 x = 30 => x = 45
45 * 1/2 = 22.5
ANSWER:A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | 30 is subtracted from a number, it is reduced to its one third. What is the value of 50% of that number? options: (A)22.5, (B)84, (C)21, (D)24, (E)25 |
E, Explanation: The speed of the current is 4-2=2 kmph. Thus, if the man navigates along the current his speed is 6kmph. Answer: E | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | If a man rows at the rate of 4 kmph in still water and his rate against the current is 2 kmph, then the man's rate along the current is: options: (A)15 kmph, (B)6 kmph, (C)12 kmph, (D)14 kmph, (E)6 kmph |
A, Explanation: Sum of the squares should be equal to 109. Only Options B and D satisfying. When we subtract 495, only 863 becomes 368
Answer:A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The sum of the digits of a three digit number is 17, and the sum of the squares of its digits is 109. If we subtract 495 from the number, we shall get a number consisting of the same digits written in the reverse order. Find the number. options: (A)368, (B)377, (C)288, (D)997, (E)112 |
B, Explanation: The ratio of zinc and copper in mixture 1 is 6/9 and in mixture 2 is 7/11.
40 grams of mixture 1 contains 6*40/15=16 grams of zinc and 24 grams of copper
60 grams of mixture 2 contains 7*60/18=77/3 grams of zinc and 110/3 grams of copper
Thus, ratio =(16+77/3)/(24+110/3) =59/91
ANSWER:B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | X and Y are two alloys which were made by mixing zinc and copper in the ratio 6:9 and 7:11, respectively. If 40 grams of alloy X and 60 grams of alloy Y are melted and mixed to form alloy Z, what is the ratio of zinc and copper in the alloy Z ? options: (A)69:91, (B)59:91, (C)59:90, (D)59:91, (E)69:101 |
D, Explanation: A = 16000
B = 4000
A share 16 parts & B share 4 parts
Total 20 parts -----> 30
----> 1 part -------> 1.5
A share = 16 parts -----> 24
D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The nefarious bandit Hoopsmot decides to go in with his criminal partner Smolapon to purchase a number of senators. Hoopsmot contributes $16,000 to their bribery pool, and Smolapon contributes just $4,000. Their total allows them to influence 30 senators. How many senators of these can be considered Hoopsmot's? options: (A)18, (B)20, (C)22, (D)24, (E)26 |
B, Explanation: Let the numbers be x and y.
Then, x^2 - y^2 = 256000 and x + y = 1000.
On dividing we get : x - y = 256.
‹=›Solving x + y = 1000 and x - y = 256,
‹=›we get : x = 628 and y = 372.
Answer B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are options: (A)600, 400, (B)628, 372, (C)640, 360, (D)None of these, (E)Cannot be determined |
D, Explanation: Weight of astronaut on Earth = 211 pounds
Weight of astronaut on Venus = 182 pounds
Weight of astronaut on Venus as a percentage of Weight of astronaut on Earth = (182/211)*100 = 86%
Answer D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | An astronaut weighing 211 pounds on Earth would weigh 182 pounds on Venus. The weight of the astronaut on Venus would be approximately what percent of the astronaut’s weight on Earth? options: (A)50%, (B)60%, (C)70%, (D)86%, (E)90% |
A, Explanation: Avg speed = total distance/total time
= 5*6 + 4*12 / 18
=4 1/3 km/h | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A man walks at 5 kmph for 6 hrs and at 4 kmph for 12 hrs. His average speed is options: (A)4 1/3 km/h, (B)7 2/3 km/h, (C)9 ½ km/h, (D)8 km/h, (E)81 km/h |
C, Explanation: Given expression = [(272 - 32) (124 + 176)] / (17 x 15 - 15)
= (240 x 300 ) / 240
= 300
Correct Option: C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | [(272 - 32) (124 + 176)] / (17 x 15 - 15) = ? options: (A)0, (B)2.25, (C)300, (D)400, (E)None of these |
B, Explanation: There must be more than two members.
If there are four members, then the middle two average $3000 for a total of $6000, and the highest earner must earn at least $3000 which puts the total at $9000 minimum. The lowest earner pushes the total past $9000 so there can not be four family members.
There must be three family members.
The answer is B. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Everyone in the family earns money each month. If the total income of a family per month is $9000 and the median income is $3000, how many members are there in the family? options: (A)2, (B)3, (C)4, (D)5, (E)6 |
E, Explanation: Fare for Adult = Rs. 140.
Fare of Child = Half of the Adult = Rs. 70.
So,
Total fare = 4 *140 + 3 *70 = 560 +210 = Rs. 770.
ANSWER : E | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The bus fare of one adult is Rs. 140 from Ranchi to Patna and bus fare of a child is half the fare of one adult between the same places. What is the total bus fare of 4 adults and 3 children between same places? options: (A)Rs. 666, (B)Rs. 670, (C)Rs. 700, (D)Rs. 570, (E)Rs. 770 |
C, Explanation: Required number of employees = (624000 - 600000)/60=24000/60=400
Answer is C. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | An organization decided to raise Rs. 6 lakh by collecting equal contribution from each of its employees. If each of them had contributed Rs. 60 extra, the contribution would have been Rs. 6.24 lakh. How many employees are there in that organization? options: (A)300, (B)200, (C)400, (D)100, (E)500 |
D, Explanation: Number of voters eligible for voting = 5000 × 0.8 = 4000
Number of extra votes gotten by the winning candidate = 4000 × 0.15 = 600
Let the number of votes won by winning candidate = x.
⇒ x – (4000 – x) = 600
⇒ x = 2300
Answer: D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | If there are 5,000 voters out of which 20% are not eligible to vote and there are two candidates contesting. The winning candidate won by 15% of the votes. What is the total number of votes he got ? options: (A)3267, (B)2678, (C)2797, (D)2300, (E)2781 |
C, Explanation: Let's subtract $0.20 until we find a multiple of $0.25.
$3.40 - $0.20*2 = $3.00, which is a multiple of $0.25.
The answer is C. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | For bringing each copper coin from the bottom of a river, a coin-diver gets 20 cents, and for each brass coin she gets 25 cents. If after one dive, she got $3.40. What is the minimum number of copper coins that she brought? options: (A)4, (B)3, (C)2, (D)1, (E)0 |
E, Explanation: Vr=20m/s, Vk=40m/s
distance A-C = 20*10=200m
distance B-C = 40*10=400m
Therefore, distance A-C = 200+400=600m.
option E | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Ram and Krishna start from A and B, respectively, at the same time and travel towards each other at constant speeds of 20m/s and 40m/s, respectively, along the same route. Ram meets Krishna at point C on the road after 10 seconds. Find the total distance between A to B. options: (A)700 meters, (B)1000 meters, (C)700 kilometers, (D)555 meters, (E)600 meters |
C, Explanation: The speed of Car ’X’=320kms/8hr=40kms/hr
The speed of car ’Y’=415kms/5hr=83kms/hr
the difference is 43km/hr
ANSWER:C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Car ‘X’ covers a distance of 320 kms in 8 hours and car ‘Y’ covers a distance of 415 kms in 5 hrs. What is the difference in the speed of the two cars? options: (A)42kms/hr, (B)41km/hr, (C)43kms/hr, (D)45kms/hr, (E)None of these |
E, Explanation: Suppose x is the distance then
going time + coming time = total time = 1 hour
x/10 + x/5 = 1
x = 1.5=2 miles
Answer E. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Winson runs from his home to his school at an average speed of 10 miles/hr, and then walks home along the same route at an average speed of 5 miles/hr. If the whole journey took one hour, how many miles is his home from his school? options: (A)9, (B)6, (C)4, (D)3, (E)2 |
E, Explanation: Since the store sold an equal number of white and yellow balls, 80%/2 = 40% of the inventory at the start of the day was white balls. Then 60% of the inventory consisted of yellow balls.
0.6(600) = 360
The answer is E. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A sporting goods store carries only yellow and white golf balls. At the beginning of the day it had 600 golf balls in stock, and by the end of the day it had sold 80% of its inventory of golf balls. If the store sold an equal number of yellow and white golf balls, and in doing so sold all of its white golf balls, how many yellow golf balls did the store have to begin the day? options: (A)80, (B)120, (C)240, (D)320, (E)360 |
B, Explanation: Less shadow, Less Height (Direct Proportion)
So, let height of building be x metre
then,
40.25:17.5::28.75:x
=>x=17.5∗28.75/ 40.25
=>x=12.5
Option B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A flagstaff 17.5 metre high casts a shadow of length 40.25 metre. The height of building, which casts a shadow of length 28.75 metre under similar conditions will be : options: (A)12 metre, (B)12.5 metre, (C)13.5 metre, (D)14 metre, (E)15 metre |
B, Explanation: Relative Speed: 55-52=3 mph
Distance:15 miles
Time: distance/speed=15/3= 5 hours
Correct answer is B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Two cars are travelling from the same starting point in the same direction, having started their commute at the same time. The first car travels at a steady rate of 55 mph, while the second travels at a steady rate of 52 mph. How much time will pass before the cars are 15 miles away from each other? options: (A)3 hours, (B)5 hours, (C)6 hours, (D)4 hours, (E)7 hours |
E, Explanation: Let x be the probability that B does not occur.
P(A and B do not occur) = 1 - 0.96 = 0.04
0.4x = 0.04
x=0.1
P(B occurs) = 1 - x = 0.9
The answer is E. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The events A and B are independent. The probability that event A occurs is 0.6, and the probability that at least one of the events A or B occurs is 0.96. What is the probability that event B occurs? options: (A)0.5, (B)0.6, (C)0.7, (D)0.8, (E)0.9 |
D, Explanation: a3 : a3/8 * 4/3 π => 6: π
Answer: Option D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is? options: (A)2: π, (B)7:2, (C)8:2, (D)6: π, (E)8:3 |
E, Explanation: 5 ties will get you one of different colored ties in the worst case. Thus, one more tie and you will have at least one pair. Thus, 6 is the correct answer.
ANSWER:E | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | My wall contains 8 red colour ties, 13 violet colour ties,10 blue colour ties, 5 pink colour ties, 4 green colour ties. If electricity is gone and I want at least two ties of same colour then how many ties I should take out from my rack? options: (A)2, (B)3, (C)4, (D)5, (E)6 |
B, Explanation: Answer=25/12*5
=25/60=0.4167
Option B is correct | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Find 25/12*5 options: (A)2.5498, (B)0.4167, (C)3.3987, (D)8.5497, (E)5.6312 |
A, Explanation: Let log2 4 = n.
log2 4 = 2.
Answer: Option A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The value of log2 4 is: options: (A)2, (B)4, (C)6, (D)8, (E)12 |
A, Explanation: C.P. of 1 kg = 450/90 = Rs. 5
S.P. of 1 kg = Rs. 7.50
Gain = 7.50-5 = 2.50
Gain % = 2.50/5 * 100 = 50%. Answer: A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Calculate the percentage gain of a merchant who purchased 90 kg of oranges for Rs. 450 and sold the whole lot at the rate of Rs. 7.50 per kg. options: (A)50 %, (B)60 %, (C)55 %, (D)70 %, (E)58% |
D, Explanation: Let the distance between the cities be x
They meet after y hrs after 7am
M covers x in 4hrs
N covers x in 3 1/2 i.e 7/2 hrs
speed of M =x/4
speed of N = 2x/7
Distance covered by M in y+2 hrs + Distance covered by N in
y hrs is x
x/4 (y+2) +2x/7(y)=x
y=14/15hr or 56 min
Answer : D. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A train M leaves City A at 5 am and reaches City B at 9am. Another train N leaves City B at 7am and reaches City A at 1030am. At what time do the 2 trains cross one another? options: (A)1 hr 23 min, (B)1 hr 15 min, (C)1 hr 8 min, (D)56 min, (E)55 min |
B, Explanation: Janice's speed = 1/6 miles per minute
Jennie's speed = 1/3 miles per minute
Janice + Jennie's speed= (1/6 + 1/3) = 1/2 miles per minute
Both together will finish the mile in 2 minutes
correct option is B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Janice bikes at 10 miles per hour, while Jennie bikes at 20. How long until they have collectively biked 1 mile? options: (A)1 minute, (B)2 minutes, (C)3 minutes, (D)4 minutes, (E)5 minutes |
E, Explanation: 504/M = 420/800
(504 * 800) / 420 = M
M = 960
Answer:E | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | In an exam, a candidate secured 504 marks of the maximum mark of M. If the maximum mark M is converted into 800 marks, he would have secured 420 marks. What is the value of M? options: (A)278, (B)2890, (C)270, (D)2702, (E)960 |
C, Explanation: We can set up a proportion to solve:
10 bottles / 8 people = x bottles / 12 people.
Cross-multiply to solve a proportion:
(10)(12) = (8)(x)
120 = 8x
10 = x
Answer :C. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | If Jill needed to buy 10 bottles of soda for a party in which 8 people attended, how many bottles of soda will she need to buy for a party in which 12 people are attending? options: (A)6, (B)8, (C)10, (D)12, (E)14 |
D, Explanation: The ratio of shadow to height is constant, so if x is the length of the shadow, then
4/10 = 6/x and x = 15 .
correct answer D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Two ants are standing side-by-side. One ant, which is 4 inches tall, casts a shadow that is 10 inches long. The other ant is 6 inches tall. Compute, in inches, the length of the shadow that the taller ant casts. options: (A)36, (B)28, (C)42, (D)15, (E)20 |
C, Explanation: Let, height= 2x metres & (length+ breadth)= 5x metres.
Length of paper= (260/2)m= 130m.
Therefore, area of paper= (130*50/100)= 65m2
Area of 4 walls= (65+15)=80m2
2(length+breadth)*height=80.
Therefore, 2*5x*2x=80 or x2=4 or x=2
Therefore, height of the room= 4m
ANSWER:C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The height of a room to its semi-perimeter is 2:5. It costs Rs.260 to paper the walls of the room with paper 50cm wide at Rs.2 per meter allowing an area of 15 sq.m for doors and windows. The height of the room is: options: (A)2.6m, (B)3.9m, (C)4m, (D)4.2m, (E)4.4m |
E, Explanation: The difference is consistent with each integers , therefore the series can be A.P.
Sum of A.P. = A + (N-1) D
A=First term
D=Difference between each integer
N=number of terms
Sum = A + (N - 1 ) D
51= -50 + N - 1
N = 102
Answer = E | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | The sum of k consecutive integers is 51. If the least integer is -50, then k = options: (A)40, (B)62, (C)82, (D)92, (E)102 |
D, Explanation: Each out of 10 songs was selected 5 times --> the total number of selections = 10*5 = 50.
Each student selected 2 songs --> the total number of students = 50/2 = 25.
Answer: D. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | In a survey of students, each student selected from a list of 10 songs the 2 songs that the student liked best. If each song was selected 5 times, how many students were surveyed? options: (A)96, (B)48, (C)32, (D)25, (E)18 |
D, Explanation: Here x=1.5 must satisfy the equation
=> 1.5^2 + 1.5m + 22 = 0
=> m=-16.2
ANSWER:D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | If one of the roots of the quadratic equation x^2 + mx + 22 = 0 is 1.5, then what is the value of m? options: (A)-23.5, (B)-17.5, (C)-10.5, (D)-16.2, (E)Cannot be determined |
B, Explanation: 10 speakers can be arranged in 10! ways. Protocol to be observed only one possibility from 3! is appropriate. So, total number of ways=10!/3!=10!/6
ANS:B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | At an election meeting 10 speakers are to address the meeting. The only protocol to be observed is that whenever they speak the pm should speak before the mp and the mp should speak before the mla. In how many ways can the meeting be held? options: (A)10!/3, (B)10!/6, (C)10!/2, (D)10!/4, (E)10!/5 |
C, Explanation: p = old price.
n = the number of items for $300 for p.
pn = (0.85p)(n + 5) --> n = 0.85(n + 5) --> n = 17.
New price = 300/(n + 5) = 13.6.
Answer: C. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Anna is able to buy 5 more articles for $300 after the price of each article decreased by 15%. What is the new selling price of each article? options: (A)$8, (B)$10, (C)$13.6, (D)$22.9, (E)$40 |
D, Explanation: After moving 2 positions to the right Neha is 14 positions from the left, and after moving 2 positions to the left, Radha is on the 8th position from the right. If there are 6 children between them, the total number of children is 14+6+8 = 28
ANSWER:D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | In a row of children Neha is 12th from left end and Radha is 6th from right end. When Radha is shifted to left by 2 places and Neha is shifted to right by 2 places there 6 children between Radha and Neha. How many children are there in the row? options: (A)23, (B)27, (C)26, (D)28, (E)29 |
B, Explanation: The mixture contains 3kg sand and 7 kg clay.
For the mixture to be in equal quantities, there should be 2 kg of clay removed.
Clay and sand are in the ratio 7:3
So part of sand to be removed = 2*3/7 = 6/7
So total mixture to be removed = 2 + 6/7 = 20/7
ANSWER:B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | 10kg of a mixture contains 30% sand and 70% clay. In order to make the mixture contain equal quantities of clay and sand how much of the mixture is to be removed and replaced with pure sand? options: (A)10/7, (B)20/7, (C)30/7, (D)40/7, (E)50/7 |
A, Explanation: Let Rs 100 be the income
Expenditure=Rs70
Increased income=Rs120
Expenditure in amount is same.
So, expenditure % =70/120 *100=58.3%
ANSWER:A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A man spends 70% of his income. If his income increases by 20%, then what will be his new expenditure? options: (A)58.3%, (B)62.5%, (C)63.5%, (D)64.5%, (E)65.5% |
D, Explanation: The greatest common divisor of 28 and 98 is 14.
We can make 14 identical bouquets with 2 white tulips and 7 red tulips in each bouquet.
The answer is D. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | What is the greatest number of identical bouquets that can be made out of 28 white and 98 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.) options: (A)4, (B)7, (C)10, (D)14, (E)21 |
C, Explanation: Sharon's earnings = 1/5 cake per hour
Karen's earnings = 1/4 cake per hour
Sharon + Karen's earnings= 9/20
They will be able to buy the cake in just over 2 hours
correct option is C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Sharon works for 5 hours to earn enough tips to buy an ice cream cake, while Karen works for 4. After how many hours will they be able to buy the cake together? options: (A)1 hour, (B)2 hours, (C)3 hours, (D)4 hours, (E)5 hours |
B, Explanation: Let’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus –x^3 > y^2 is the same statement as |x^3| > |y^2|, and (B) must be true. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | If x<0, y>0, and |x^3| > |y^2|, which of the following must be true? options: (A)x > y, (B)y^2 > x^2, (C)-x^3 < y^2, (D)–x < y, (E)x < –y |
C, Explanation: Total work = Printer A + Printer B = 2 Printer A
100= 2 * 1/2 * T => T=100 seconds
Answer: C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Printer A and Printer B can each print 1⁄2 page per second. How long will it take both printers working together to print 100 pages? options: (A)25 seconds, (B)50 seconds, (C)100 seconds, (D)200 seconds, (E)400 seconds |
A, Explanation: The two ants move a total of 15 cm per hour.
The time it takes until they meet is 75/15=5 hours.
In that time, the distance that ant A travels is 5*9=45 cm.
The answer is A. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Two ants are moving from their farms towards each other. Ant A is moving at a speed of 9 cm per hour and ant B is moving at a speed of 6 cm per hour. If the farms are 75 cm away from each other, what will be the distance (in cm) that ant A travels until meeting ant B? options: (A)45, (B)48, (C)51, (D)54, (E)57 |
A, Explanation: Since Robert property worth is written as greatest positive even integer less than or equal to his property worth and it is divisible by 100 then it is =1000 (greatest positive even integer less than or equal to his property worth and it is divisible by 100 is 1000).
Hence the difference = 1023.65 - 1000 = 23.65
Answer: A. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Roberts has a property worth of $1023.65. But in a record his property worth is written as greatest positive even integer less than or equal to his property worth and it is divisible by 100. Find the difference between actual property and recorded property worth? options: (A)23.65, (B)1000, (C)35.62, (D)2.65, (E)1023.65 |
A, Explanation: Lets assume S as price of shirt and T as price of trousers, we have bellow equation:
70 T + 30 S = 810
Simplifying we get : 7T + 3S = 81
T = ( 81 - 3*S )/7
We need to find the least value of S which will make (81 - 3*S) divisible by 7
Simplifying by taking 3 as common factor 3*(27-S) / 7
Looking at the above equation its not difficult to find out least value of S is 6 so that 27- 3S becomes divisible by S
Hence, T = (81-3*S)/7 = (81-3*6)/7 = 63/7 = 9
ANSWER:A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A man spend 810 in buying trouser at Rs 70 each and shirt at 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased? options: (A)9 Trousers, (B)8 Trousers, (C)10 Trousers, (D)7 Trousers, (E)11 Trousers |
E, Explanation: Let subscription per magazine = x
15x = 42
=> x= 2.8
Let cover price per magazine = c
Since there is a 25% saving on cover prices
0.75c=x
=> 0.75c = 2.8
=>c= 3.73
Answer E | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | If a subscription for 15 issues of a magazine costs $42.00 and represents a saving of 25 percent of the cover prices, what is the cover price per issue? options: (A)$7.73, (B)$6.73, (C)$5.73, (D)$4.73, (E)$3.73 |
E, Explanation: The amount won and lost by both is equal.
Thus 2x = 3(20-x) --- x in the number of times heads came
X = 12 | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Christopher and Jonathan were having bets. They decide that a coin will be flipped twenty times and each time it turns heads, Christopher will give $2 to Jonathan and each time it turns out to be Tails, Jonathan will give 3$ to Christopher. After flipping for twenty times none of the both won or lost any amount.
How many times did the coin landed on Heads ? options: (A)10, (B)23, (C)16, (D)18, (E)12 |
E, Explanation: Total distance 126km
in an hour both Allen and Bob covered 126km
that is 54+78=132
they meet for the first time Bob covered more KM than Allen. 78-54=24.
so when they meet for the second time Bob covered 24*2= 48 more km (ANSWER E) | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Allen starts from X, goes to Y. At the same time Bob starts from Y and goes towards X. Once Allen reaches Y he changes his direction and returns to X. Once Bob reaches X, he changes his direction and returns to Y. Throughout Allen travels at 54 kmph and Bob travels at 78kmph. By the time they meet for the second time, Bob covers 48 km more than Allen. Find the distance between X and Y. options: (A)144km, (B)72 km, (C)126km, (D)84 km, (E)48km |
C, Explanation: Average cost of new tire = $45/tire
cost of repairing the current tire = $40/tire
new tire is $5 more per tire.
i e. 5/40=1/8=12.5%
ANSWER:C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Tires of a certain brand, when purchased new, last for four years. A customer can choose to purchase the new tires at a cost of $180 per tire or can have his current tires repaired at a cost of $40 per tire, a repair that will make the current tires last for one additional year. The average cost per year of the new tires is what percent greater than the cost of repairing the current tires? options: (A)8%, (B)10%, (C)12.5%, (D)16.7%, (E)25% |
D, Explanation: Length of the rope = 20 meters.
Assume length of longer piece = x meters.
Length of shorter piece = x - 3
We know that x + x - 3 = 20
2x = 23
Length of the longer piece = x = 11.5 meters
Correct Option: D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A rope 20 meters long is cut into two pieces. If the length of one piece of rope is 3 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope? options: (A)7.5, (B)8.9, (C)9.9, (D)11.5, (E)11.7 |
B, Explanation: A=P(1+r/q)nq .Here q is no of times interest is compounded in a yr so it is = 2. Amount comes out to be 5618 .Hence interest is 5618-5000=618. >>B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Jerry purchased a 1-year $5,000 bond that paid an annual interest rate of 12% compounded every six months. How much interest had this bond accrued at maturity? options: (A)$5102, (B)$618, (C)$216, (D)$202, (E)$200 |
D, Explanation: It is clear that E = 1 as MAD×E=MAD
From the hundred's line, M + A = 10 + M or 1 + M + A = 10 + M
As A = 10 not possible, A = 9
So I = 0.
and From the thousand's line R + 1 = A. So R = 8.
M 9 D
B 1
-------------
M 9 D
8 9 1
-------------
9 M 0 D
-------------
As B×D = 1, B and D takes 3, 7 in some order.
If B = 7 and D = 3, then M93×7 = _51 is not satisfied. So B = 3 and D = 7.
2 9 7
3 1
-------------
2 9 7
8 9 1
-------------
9 2 0 7
-------------
Answer:D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Decipher the following multiplication table:
M A D
B E
-------------
M A D
R A E
-------------
A M I D options: (A)9 2 0 0, (B)9 2 0 9, (C)9 2 0 1, (D)9 2 0 7, (E)9 2 2 2 |
D, Explanation: Explanation:
Sachin's age today = 30 years.
Sachin's age 10 years back = 20 years.
Ajay's age 10 years back = 10 years.
Ajay's age today = 20 years
Answer: Option D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old in 10 years options: (A)18, (B)25, (C)15, (D)20, (E)21 |
C, Explanation: Let l and b be the length and breadth of rectangular plot respectively.
∴ According to the question,we have
2(l + b) = 340 ⇒ l + b = 170
Now, (l + 2) and (b + 2) be the length and breadth of plot with boundary.
∴ Required area = (l + 2) (b + 2) – lb
= lb + 2l + 2b + 4 – lb
= 2(l + b) + 4 = 344
∴ Required cost = 344 × 10 = 3440
Answer C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | What will be the cost of gardening 1-metre – broad boundary around a rectangular plot having perimeter of 340 metres at the rate of 10 per square metre? options: (A)3400, (B)1700, (C)3440, (D)Cannot be determined, (E)None of these |
B, Explanation: Percentage of revenue from novels = 34%
Remaining revenue = 66%
Sale of biographies = 1/3 of 66% = 22%
Sale of novels / sale of biographies
= 34/22
approx 1.5
Answer B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Last year, 34 percent of Ace Book Company's sales revenue came from the sale of novels. Of the remaining revenue, 1/3 was from the sale of biographies. The company's revenue from the sale of novels was approximately, how many times its revenue from the sale of biographies? options: (A)1.3, (B)1.5, (C)2.1, (D)2.5, (E)3.1 |
D, Explanation: Let the number of flowers to be flown by be x.
Then, .05% of x=8
(5/100)*(1/100)*x=8
x=16000
Answer is D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A bee bypasses 0.05% of flowers it flies by because it can sense they don't have any nectar in them. How many flowers will the bee fly by to bypass 8 flowers? options: (A)2000, (B)4000, (C)8000, (D)16000, (E)32000 |
A, Explanation: He can allocate his 3 free lunches on any 3 days from 5 (excluding weekends), so in 5C3 ways.
He can allocate his 3 free dinners on any 3 days from 4 (excluding weekends and Friday), so in 4C3 ways.
Total = 5C3*4C3 ways
ANS:A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Fernando purchased a university meal plan that allows him to have a total of 3 lunches and 3 dinners per week. If the cafeteria is closed on weekends and Fernando always goes home for a dinner on Friday nights, how many options does he have to allocate his meals? options: (A)5C3*4C3, (B)5C4*4C2, (C)5C2*4C4, (D)5C6*4C5, (E)4C3*4C3 |
A, Explanation: (a - b)2 x (a + b)2 / a2 - b2 = (a - b)2 x (a + b)2 / (a + b)(a - b) = (a + b) (a - b)
Answer : Option A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | What should come in place of the question mark(?) in each of the following questions ?
a2 - b2/(a + b)2 (?)=(a - b)2 options: (A)(a + b)(a - b), (B)(a - b)2, (C)(a + b)2, (D)a3 + b3, (E)None of these |
D, Explanation: Let the number be x. Then, X-36 = 86-X
2X = 86+36 = 122, x = 61.
The answer is option D) 61. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A number is as much greater than 36 as is less than 86. Find the Number. options: (A)60, (B)56, (C)51, (D)61, (E)41 |
D, Explanation: 1 pallet has 1250 phones, so p pallets hold 1250p phones
1 crate has 1250p phones, so 4 will have 1250p * 3 = 2500p | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A certain phone manufacturer ships its products in crates. A crate consists of p pallets, and each pallet holds 1250 phones. If the manufacturer ships 4 crates, how many phones are shipped? options: (A)1000p, (B)1500p, (C)2000p, (D)2500p, (E)30000 |
D, Explanation: A's one minute work = 1/40
B's one minute work = 1/45
(A+B)'s one minute work = 1/40 + 1/45 = 85/40*45 = 17/360
so, (A+B)will do work together in 360/17 min = 21 3/17 minutes
21 min approximately
ANSWER:D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A can construct a wall in 40 min and B can construct the wall in 45 min. How many hours is needed to contruct a wall if both the person working together. options: (A)20 min, (B)22 min, (C)23 min, (D)21 min, (E)20 min |
D, Explanation: The train takes 30 seconds to travel 1 mile, plus 3 seconds for the complete train to pass any point, making a total of 33 seconds. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | An express electric train takes exact three seconds to enter tunnel which is 1 mile long.
If train is traveling at 120 mile an hour, how long will it take to pass completely through the tunnel ? options: (A)43 seconds, (B)39 seconds, (C)20 seconds, (D)33 seconds, (E)55 seconds |
A, Explanation: Explanation:
Suppose the merchant will take advantage of the cash discount of 4% of $20 000 = $800 by paying the bill within 30 days from the date of invoice. He needs to borrow $20 000 = $800 = $19 200. He would borrow this money on day 30 and repay it on day 100 (the day the original invoice is due) resulting in a 70-day loan. The interest he should be willing to pay on borrowed money should not exceed the cash discount $800.
r=I/pt=21.73%
The highest simple interest rate at which the merchant can afford to borrow money is 21.73%. This is a break-even rate. If he can borrow money, say at a rate of 15%, he should do so. He would borrow $19 200 for 70 days at 15%. Maturity value of the loan is $19 200(1+0.15(70/365))=$19 752.33
savings would be $20 000 − $19 752.33 = $247.67
Answer: A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A merchant receives an invoice for a motor boat for $20 000 with terms 4/30, n/100. What is the highest simple interest rate at which he can afford to borrow money in order to take advantage of the discount? options: (A)247.67, (B)237.67, (C)227.67, (D)215.67, (E)None of these |
D, Explanation: Number of ways to select 5 bottles out of 10= 10!/5!5!= 252
D is the answer | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | There are ten lime soda bottles on a table in a restaurant. They are to be served among two different groups of customers consisting of 5 members each. How many ways are there to create these 2 groups? options: (A)90, (B)105, (C)126, (D)252, (E)525 |
B, Explanation: Let x = amount of corn
rice/corn=2/5=3/x
2 × x = 3 × 5
2x = 15
x=7.5
Answer:B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. If a bag of the mixture contains 3 pounds of rice, how much corn does it contain? options: (A)6.5, (B)7.5, (C)7, (D)6, (E)None of the above |
E, Explanation: The cost of adding one soda and one energy bar is 150 cents. We need to purchase six sodas and seven bars. We know two sodas and three bars costs 300 cents, so to that purchase, we'd need to add four sodas and four bars - or four sets of items. So, we take the initial 300 + (4 * 150) = 300+600 = 900.
Answer - E. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | You can purchase one soda and two energy bars for 150 cents, or two sodas and three energy bars for 300
cents. If the costs of the items do not change, compute the cost in cents of six sodas and seven bars. options: (A)500, (B)600, (C)750, (D)800, (E)900 |
B, Explanation: The company is able to deliver 90% of the manufactured pens. Means to produce 7200 pens they must have to produce 8000 pens as 10% are defectives. So, let K be the manufacturing price of each pen.
Total income (including 25% profit) = 8000 *K *1.25
This same income is obtained by selling 90% manufactured pens at Rs. 10 which is equal to 7200 *10.
Thus,
8000 *K *1.25 = 7200 *10
K = Rs. 7.2. [90% of 8000 = 7200]
Answer: Option B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A pen company produces very fine quality of writing pens. Company knows that on average 10% of the produced pens are always defective so are rejected before packing. Company promises to deliver 7200 pens to its wholesaler at Rs. 10 each. It estimates the overall profit on all the manufactured pens to be 25%. What is the manufactured cost of each pen? options: (A)Rs. 6, (B)Rs. 7.2, (C)Rs. 5.6, (D)Rs. 8, (E)None of these |
B, Explanation: Let the ten's digit be x.
Then, unit's digit = 2x.
Number = 10x + 2x = 12x;
Sum of digits = x + 2x = 3x.
Therefore, 12x - 3x = 18
‹=› 9x = 18
‹=› x = 2.
Hence, required number = 12x = 24.
Answer B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A two digit number exceeds the sum of the digits of that number by 18. If the digit at the unit's place is double the digit in the ten's place, what is the number? options: (A)12, (B)24, (C)42, (D)48, (E)49 |
D, Explanation: x – 1≤ [x] ≤ x
2x + 2y - 3 ≤ L(x,y) ≤ 2x + 2y
=> a – 3 ≤ L ≤ a
2x + 2y -2 ≤ L(x,y) ≤ 2x + 2y
=> a – 2 ≤ R ≤ a
Therefore, L ≤ R.
Answer : D | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Suppose for any real number x, [x] denotes the greatest integer less than or equal to x. Let L(x,y) = [x] + [y] + [x + y] and R(x,y) = [2x] + [2y]. Then it is impossible to find any two positive real numbers x and y for which options: (A)L(x,y) = R(x,y), (B)L(x,y) ≠ R(x,y), (C)L(x,y) < R(x,y), (D)L(x,y) < R(x,y), (E)None |
B, Explanation: LCM of 36,40,48 is 720
720/60=12
ANSWER:B | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Three bells ring at intervals of 36 seconds, 40 seconds and 48 seconds, respectively. They start ringing together at a particular time. When they will ring together again? options: (A)After 6 minutes, (B)After 12 minutes, (C)After 18 minutes, (D)After 24 minutes, (E)none |
A, Explanation: direct proportion x1/y1=x2/y2
14/10=15/x
(14/10) 15=x
21 = x
Answer:A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions. options: (A)21, (B)22, (C)20, (D)23, (E)24 |
B, Explanation: He cost is equal to 3 dollars for each letter in the fruits name. | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | At my favorite fruit stand, an orange costs 18 dollars, a pineapple costs 27 dollars, and a grape costs 15 dollars. Using the same logic, can you tell how much a mango costs? options: (A)22 dollars, (B)15 dollars, (C)20 dollars, (D)18 dollars, (E)10 dollars |
C, Explanation: We must plug in the three points that satisfy y<0<b<x<a.
Only C satisfies the area of a triangle.
Answer:
C. (by−ay)/2 | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | In the coordinate plane, a triangle has vertices at (a,0), (b,0), and (x,y). If a>x>b>0>y, which of the following represents the area of that triangle? options: (A)(ay−by)/2, (B)(ab−ay)/2, (C)(by−ay)/2, (D)(ay+by)/x, (E)(a−b)/2y |
C, Explanation: 20 x 60 = 10 x S2
S2 = 120 kmph
Answer: Option C | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | A car finishes a journey in 20 hours at the speed of 60 km/hr. If the same distance is to be covered in 10 hours, how much speed does the car gain? options: (A)80 kmph, (B)50 kmph, (C)120 kmph, (D)70 kmph, (E)80 kmph |
A, Explanation: Prob(Alan) = 1/5
Prob(Roger) without cheating = 2/3-1 = 1/3
Prob(Peter) = 5/6
Total Probability = 1/5*1/3*/5/6 = 1/18
Answer is A | Please read the question and options carefully, then select the most appropriate answer and provide the corresponding explanation. | Three friends Alan, Roger and Peter attempt to answer a question on an exam. Alan randomly guesses the answer, giving him a 1/5 probability of guessing correctly. Roger cheats by looking at the paper of the student in front of him, giving him a 2/3 probability of answering correctly. And Peter dutifully performs the calculations, then marks the answer, giving him a 5/6 probability of a correct answer. What is the probability that the question is answered correctly, but not via cheating? options: (A)1/18, (B)1/9, (C)23/90, (D)5/18, (E)13/45 |