antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12 sec
55 sec
43 sec
99 sec
Answer: A
Question: In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent of his family’s total income?
Choices:
17%
24%
30%
33%
Answer: D
Question: For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 99 true?
Choices:
3
5
7
9
Answer: A
Question: An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 12%. How much will an air-conditioning unit cost in November?
Choices:
$442
$472
$484
$491
Answer: A
Question: Molly can do a task in 15 days while Sandy can do the task in 10 days. How many days will it take to complete the task if both work together?
Choices:
6
7.5
8
9
Answer: A
Question: Miguel is 46 years old. He is 2 years older than twice his son’s age. Find the age of his son.
Choices:
12years
15years
19years
22years
Answer: D
Question: If p and q are the two digits of the number 653pq such that this number is divisible by 80, then p+q is equal to :
Choices:
2
4
6
7
Answer: A
Question: A and B start a business with Rs.6000 and Rs.2000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:9
3:1
3:2
Answer: C
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for one year, compounding done annually?
Choices:
9687
9685
9682
8800
Answer: D
Question: A, B and C have Rs.1000 between them, A and C together have Rs.700 and B and C Rs.600. How much does C have?
Choices:
200
300
400
500
Answer: B
Question: Smith can do a work in 15 days while Johnson can do it in 25 days. How long will they take if both work together?
Choices:
8 4/9 days
9 3/8 days
6 3/8 days
7 3/8 days
Answer: B
Question: A clock is started at noon. By 10 minutes past 5, the hour hand has turned through
Choices:
150°
155°
155°
None
Answer: B
Question: 19 men and 12 boys finish a job in 3 days, 7 men and 7 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
Choices:
03
12
17
12
Answer: A
Question: The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:
Choices:
24
84
48
42
Answer: B
Question: If an integer w is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that w(w + 1)(w + 2) will be divisible by 8?
Choices:
3/8
1/2
5/8
3/4
Answer: C
Question: Rs.12320 were divided among W, X & Y in such a way that W had Rs.640 more than X and Y had Rs 480 more than X . How much was Xâ€™s share?
Choices:
Rs.4610
Rs.4620
Rs.4630
Rs.4640
Answer: D
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Choices:
50
70
60
80
Answer: A
Question: n how many ways can the letters of the word PERMUTATIONS be arranged if the there are always 4 letters between P and S?
Choices:
25401600
254016200
26401600
27401600
Answer: A
Question: There are 50 people and 3 clubs M, S, and Z in a company. 14 people joined M, 16 people joined S and 9 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not
join any club?
Choices:
14
16
18
20
Answer: D
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 22.55%. What would have been the percentage of profit earned if no discount was offered?
Choices:
29%
39%
56%
73%
Answer: A
Question: On a certain date, Pat invested $10,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 12 years will be $40,000, in how many years, the total value of the investment plus interest will increase to $80,000?
Choices:
16
18
20
24
Answer: B
Question: An Olympic diver received the following scores: 2, 4, 6, 8. The standard deviation of her scores is in which of the following ranges?
Choices:
1.01 to 1.99
3.01 to 3.99
2.01 to 2.99
5.01 to 5.99
Answer: C
Question: According to a survey conducted in two cities, A and B, 64% of the population is happy with the new president. If the ratio of the city A population to the city B population is 3:2 and the percentage of city A residents who are happy with the president is 70%, what percentage of city B population is happy with the president?
Choices:
50%
25%
55%
62%
Answer: C
Question: A man swims downstream 96 km and upstream 40 km taking 8 hours each time; what is the speed of the current?
Choices:
3.5 kmph
13 kmph
6.5 kmph
7:3kmph
Answer: A
Question: What is the area of a square field whose sides have a length of 11 meters?
Choices:
205 sq m
121 sq m
167 sq m
156 sq m
Answer: B
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 395 km of the tour is:
Choices:
87.8 km/hr
71.11 km/hr
36 km/hr
71 km/hr
Answer: A
Question: A number when divided by a divisor leaves a remainder of 23. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
13
35
36
59
Answer: C
Question: Stacy has a 33 page history paper due in 3 days. How many pages per day would she have to write to finish on time?
Choices:
8
11
8.5
6
Answer: B
Question: The population of a town has increased from 133575 to 138918. The percent increase in population is :
Choices:
3
4.5
4
3.5
Answer: C
Question: How many three digit even numbers do not use any digit more than once
Choices:
None of these
2240
2460
2520
Answer: A
Question: A car traveled from San Diego to San Francisco at an average speed of 48 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Choices:
32.
36
42.
44.
Answer: A
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
28
20
82
34
Answer: B
Question: emblem is coded as 216;
crude is coded as 125
bat will be ?
Choices:
32
27
56
64
Answer: B
Question: What number should replace the question mark? 3, 30, 11, 24, 19, 18, ---?
Choices:
22
27
25
28
Answer: B
Question: The price of an item is discounted 3 percent on day 1 of a sale. On day 2, the item is discounted another 3 percent, and on day 3, it is discounted an additional 10 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
86.9%
87.3%
88.8%
89.5%
Answer: B
Question: If a and b are integers and (a*b)^5 = 48y, y could be:
Choices:
16
162
144
100
Answer: B
Question: The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Choices:
12
20
24
35
Answer: C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
225 m
167 m
887 m
265 m
Answer: A
Question: 7 3/4 + 7 2/17 - 9 1/15=?
Choices:
9 817/1020
9 719/1020
5 817/1020
None of them
Answer: C
Question: If daily wages of a man is five times to that of a woman, how many men should work for 20 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
Choices:
14
16
8
20
Answer: C
Question: Convert 300 miles into meters?
Choices:
845796
804670
482802
864520
Answer: C
Question: The average of 11 results is 55, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Choices:
4
7
8
9
Answer: A
Question: 10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is ?
Choices:
5 years
3 years
4 years
2 years
Answer: B
Question: Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket?
Choices:
8 min 15 sec
6 min 15 sec
5 min 15 sec
4 min 15 sec
Answer: A
Question: What is the speed of the stream if a canoe rows upstream at 6km/hr and downstream at 12km/hr
Choices:
4 kmph
3 kmph
2 kmph
1.9 kmph
Answer: B
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 68 with him, what was the average amount with the group before his joining the group?
Choices:
s.11
s.15
s.22
s.12
Answer: D
Question: The average expenditure of a man for the first five months is Rs.360 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :
Choices:
Rs.150
Rs.250
Rs.350
none
Answer: B
Question: Find the ratio between whole surfaces of a sphere and a hemisphere?
Choices:
4:3
4:5
4:0
4:1
Answer: A
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 360 m long?
Choices:
30 Seconds
41 Seconds
24 Seconds
29 Seconds
Answer: A
Question: A boat running up stram takes 6 hours to cover a certain distance, while it takes 7 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
Choices:
5 : 6
4 : 5
13 : 1
8 : 1
Answer: C
Question: There are some people in party, 1/3rd left the party . Then 2/5th of the remaining left the party , then 2/3rd of the remaining left the party . At last 10 were remaining . How many people were in total ?
Choices:
27
28
26
75
Answer: D
Question: How long will it take a sum of money invested at 8% p.a. S.I. to increase its value by 80%?
Choices:
11 years.
8 years.
10 years.
9 years.
Answer: C
Question: What least number must be subtracted from 9671 so that the remaining number is divisible by 2?
Choices:
1
16
11
15
Answer: A
Question: If x and y are integers such that x^2-4x+2y+6=2x^2-5x+y-6, we can deduce that y is
Choices:
an even
a perfect square
an odd
a prime
Answer: A
Question: If 5th March, 2009 is Tuesday, what was the day of the week on 5th March, 2008?
Choices:
Saturday
Tuesday
Wednesday
Monday
Answer: D
Question: If (a-b) is 6 more than (c+d) and (a+b) is 3 less than (c-d), then (a-c)
Choices:
1.5
2
2.5
3
Answer: A
Question: If x is less than y by 50% then y exceed x by:
Choices:
100%
75%
66.66%
None of these
Answer: A
Question: Given that a/b < 1, and both a and b are positive integers, which one of the following must be greater than 1?
Choices:
a^2/b
a^2/b^2
b/a
√(a/b)
Answer: C
Question: What is the HCF of 2/3, 4/9 and 6/5
Choices:
2/45
4/15
8/45
9/45
Answer: A
Question: P, Q and R have Rs.9000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Choices:
Rs.3600
Rs.2400
Rs.4000
None of these
Answer: A
Question: Three small cruise ships, each carrying 7 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random and each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected at random to receive a gift certificate worth $35, and at Port C, one passenger will be selected at random to receive a gift certificate worth $25. How many different ways can the gift certificates be given out?
Choices:
5382
6174
7690
8436
Answer: B
Question: Calculate the average of all the numbers between 11 and 27 which are divisible by 2.
Choices:
10
18
19
21
Answer: C
Question: Every day Daniel drives 120 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?
Choices:
20%
30%
40%
60%
Answer: D
Question: A box contains 12 mangoes out of which 4 are spoilt. If four mangoes are chosen at random, find the probability that Exactly three are not spoiled.
Choices:
224/495
129/495
187/495
197/495
Answer: A
Question: At a meeting, 8 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
72
120
1440
5040
Answer: D
Question: A train 120 m long crosses a platform 220 m long in 20 sec; find the speed of the train?
Choices:
65 kmph
54 kmph
61 kmph
18 kmph
Answer: C
Question: Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?
Choices:
2380
1277
2662
1321
Answer: A
Question: A man buys a cycle for Rs. 1800 and sells it at a loss of 25%. What is the selling price of the cycle?
Choices:
s. 1160
s. 1190
s. 1350
s. 1256
Answer: C
Question: Milk contains 5% water. What content of pure milk should be added to 10 liters of milk to reduce this to 2%?
Choices:
15liters
20liters
18liters
22liters
Answer: A
Question: Two pipes A and B can fill a tank is 8 minutes and 14 minutes respectively. If both the pipes are opened simultaneously, and the pipe A is closed after 3 minutes, then how much more time will it take to fill the tank by pipe B?
Choices:
5 minute 45 second
5 minute 35 second
6 minute 45 second
7 minute 45 second
Answer: A
Question: If x > 3000, then the value of (x)/(2x-42) is closest to?
Choices:
1/3
10/21
1/2
3/2
Answer: C
Question: In a mixture of milk and water, the proportion of milk by weight was 90%. If, in a 120-gram mixture, 30 grams of pure milk is added, what would be the percentage of milk in the resulting mixture?
Choices:
91.6%
91.8%
92.0%
92.2%
Answer: C
Question: Farm Tax is levied on the 75% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Choices:
25%
0.125%
0.2083%
16.667%
Answer: D
Question: If (a-7)(b-2) =0, which of the following must be true ?
I. a=7 and b=2
II. if a is not 7, then b=2
III. if a=7, then b is not=2
Choices:
II only
III only
I and II
II and III
Answer: A
Question: A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 100 that is both a prime and a palindrome. What is the sum of the digits of p?
Choices:
4
5
6
7
Answer: B
Question: A monkey start climbing up a tree 19 ft tall.Each hour it hops 3 ft and slips back 2 ft. How much time would it take the monkey to reach the top.
Choices:
18 hrs
19 hrs
17 hrs
16 hrs
Answer: C
Question: In a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. What is weight of new comer?
Choices:
66
68
69
72
Answer: B
Question: If there are 10 apples and 20 oranges, what is the ratio of apples to oranges?
Choices:
2:4
1:2
4:8
It cannot be determined from the information given
Answer: B
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 5 kmph, what time will he take to cover 60 metres?
Choices:
76 seconds
10.8 seconds
12 seconds
18 seconds
Answer: B
Question: Find the first term and the common ratio of a G.P whose fourth term is 250 and seventh term is 31,250
Choices:
4,5/2
1,16
2,5
1,5
Answer: C
Question: Juan is a gold medalist in athletics. In the month of May, if Juan takes 13 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
11x/y
9x/y
12x/y
13x/y
Answer: D
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
4 min
3 min 4 sec
4 min 5 sec
Data inadequate
Answer: A
Question: Calculate the HCF of 64, 592, 960
Choices:
16
13
14
12
Answer: A
Question: What is the next number in the series?
1,5,9,13...
Choices:
17
24
25
28
Answer: A
Question: A train takes 9 hrs to cover distance with the speed 85kmph. Find distance the train travelled.
Choices:
850
725
765
675
Answer: C
Question: A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is?
Choices:
15%
12%
22%
19%
Answer: B
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 16% if no discount was offered?
Choices:
17606
17604
17600
18560
Answer: D
Question: There is enough provisions for 600 men in an army camp for 25 days. If there were 100 men less, how long will the provision last?
Choices:
50days
100days
150days
200days
Answer: C
Question: A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 5 cubic feet. If a large block has twice the width, twice the depth, and the same length of a normal block, what is the volume of cheese in a large block in cubic feet?
Choices:
30
20
18
25
Answer: B
Question: If the sides of a triangle are 65 cm, 60 cm and 25 cm, what is its area?
Choices:
750 cm2
216 cm2
197 cm2
275 cm2
Answer: A
Question: The ratio of two quantities is 3 to 4. If each of the quantities is increased 4 and 3 respectively, what is the ratio of these two new quantities?
Choices:
8/9
18/19
23/24
It cannot be determined from the information given
Answer: D
Question: Let S1 be a square of side a. Another square S2 is formed by joining the mid-points of the sides of S1. The same process is applied to S2 to form yet another square S3, and so on. If A1, A2, A3 .. be the areas and P1, P2, P3,…….. be the perimeters of S1, S2, S3,..., respectively, then the ratio (P1 + P2 +P3+ ......) / (A1 + A2 + A3 +.......) equals :-
Choices:
2(2+√2)/a
2(2+√2)/a
2(1+2√2)/a
None of these
Answer: A
Question: A survey reveals that the average income of a company’s customers is $45,000 per year. If 40 customers respond to the survey and the average income of the wealthiest 10 of those customers is $75,000, what is the average income of the other 30 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations?
Choices:
$35,000
$37,500
$42,500
$50,000
Answer: A
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choices:
180m
170m
140m
186m
Answer: A
Question: In a box, there are 7 red, 3 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
Choices:
8/21
3/7
7/15
10/21
Answer: C
Question: The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?
Choices:
56
57
58
59
Answer: D
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 10 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
Choices:
21
88
30
29
Answer: C
Question: A 4-letter code word consists of letters D, E, and G. If the code includes all the three letters, how many such codes are possible?
Choices:
48
36
24
18
Answer: B
Question: 3/4 of 1/2 of 2/5 of 5000 = ?
Choices:
229
753
750
540
Answer: C
Question: If x+y=3 and x2y3 + y2x3=27, what is the value of xy?
Choices:
2
3
4
5
Answer: B
Question: Without stoppages, a train travels certain distance with an average speed of 250 km/h, and with stoppages, it covers the same distance with an average speed of 125 km/h. How many minutes per hour the train stops ?
Choices:
30
35
40
45
Answer: A
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 14% while buying and by 20% while selling. What is his percentage profit?
Choices:
20.22%
21.22%
42.5%
Can't be calculated
Answer: C
Question: Three numbers are in the ratio 3:4:5 and their L.C.M. is 600. Their H.C.F is?
Choices:
10
40
50
60
Answer: A
Question: A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint E, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Choices:
2 1/2
3
3 1/2
4
Answer: A
Question: Statement: The authorities in Society X are cracking down on street hawkers, blaming them for traffic jams near their society.
Actions:
I. Street hawkers should not be allowed during peak hours
II. Street hawkers should be warned and asked not to create chaos.
Choices:
Only II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: A
Question: A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 15 days starting with sunday is
Choices:
285
290
295
570
Answer: D
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
27889
27889
59000
27991
Answer: C
Question: After working for 4 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Choices:
13 1/3 days
15 1/3 days
3 1/3 days
23 1/3 days
Answer: A
Question: Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Choices:
4:3
6:7
9:16
9:7
Answer: A
Question: x is the product of all even numbers from 2 to 50, inclusive. The smallest prime factor of x+1 must be
Choices:
Between 11 and 15
Between 15 and 20
Between 20 and 25
Greater than 25
Answer: D
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.95 less, he could have gained 25%. What is the cost price?
Choices:
375
278
475
288
Answer: C
Question: At a local appliance manufacturing facility, the workers received a 25% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Choices:
80%
20%
17%
12%
Answer: B
Question: 50% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Choices:
97
84
90
76
Answer: B
Question: The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 28 years. The ratio of their ages after 6 years will be
Choices:
7 : 11
5 : 4
4 : 5
11 : 9
Answer: D
Question: If −y ≥ x, and −x < −7, then which of the following must be true?
Choices:
y > −7
−y > 7
y ≤ −7
y ≥ −7
Answer: B
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 11220, how much money did he borrow?
Choices:
11000
2668
2600
2781
Answer: A
Question: The owner of a furniture shop charges his customer 42% more than the cost price. If a customer paid Rs. 8300 for a computer table, then what was the cost price of the computer table?
Choices:
Rs. 5845
Rs. 6275
Rs. 6725
None of these
Answer: A
Question: When Jack picks olives for two hours at three times his regular speed, he picks 20 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed, then
Choices:
Mac picks 10 pounds more than Jack
Jack picks 10 pounds more than Mac
Mac picks 5 more pounds than Jack
Jack picks 5 more pounds than Mac
Answer: C
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 3 seconds. What is the length of the fast train ?
Choices:
16 2/3
29 7/9
30 7/9
None of these
Answer: A
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Poe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Poe?
Choices:
60
75
90
105
Answer: C
Question: What is the average of four tenths and five thousandths?
Choices:
0.2012
0.2025
0.2021
0.2029
Answer: B
Question: Find the area of the quadrilateral of one of its diagonals is 15 cm and its off sets 6 cm and 4 cm?
Choices:
60 cm2
75 cm2
90 cm2
150 cm2
Answer: B
Question: The number of ways in which ten candidates A1, A2, ...., A10 can be ranked so that A1 is always above A2 is
Choices:
10!⁄2
9!
8!⁄2
None of these
Answer: A
Question: The avg. age of a group of 16 students is 20 years.If 4 more students join the group,the avg age increases by 1 year.The avg age of the new student is?
Choices:
23 years
24 years
25 years
26 years
Answer: C
Question: M = {-6, -5, -4, -3, -2, -1}
T = {-5, -4, -3, -2, -1, 0, 1, 2}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
Choices:
1/4
2/5
1/2
3/5
Answer: A
Question: A cistern which could be filled in 9 hours takes 1 hour more to be filled owing to a leak in its bottom.If the cistern is full, in what time will the leak empty it?
Choices:
62hours
90hours
75hours
100hours
Answer: B
Question: If the position of the first, sixth digits of the number 2796543018 are interchanged, similarly the positions of the the second and seventh digits are interchanged and so on, which of the following will be the left of seventh digit from the left end?
Choices:
1
6
7
8
Answer: A
Question: A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 30% lemonade syrup?
Choices:
1.75
2.14
2.34
2.64
Answer: B
Question: Lucy is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of white, and 1 morsel of milk. The pattern repeats after she leaves the morsel of milk. If Lucy drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
Choices:
milk − wheat − wheat
white − milk − wheat
white − white − white
white − white − milk
Answer: A
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Choices:
3
5
7
8
Answer: A
Question: If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/4 meter, and then if the cable were cut at each mark, how many different size length of cable would result?
Choices:
2
3
4
5
Answer: B
Question: Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 1 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
Choices:
4.5 hours
5.5 hours
1 hour
None of these
Answer: B
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 149, what is the difference between the ages of Patrick and Monica?
Choices:
64
45
72
18
Answer: A
Question: What is the least number to be subtracted from 11, 15, 21 and 30 each so that the resultant numbers become proportional?
Choices:
6
3
4
9
Answer: B
Question: A triangle has three angles all with the same ratio to each other, 1:1:1. What is the angle measurement?
Choices:
60Â°
75Â°
90Â°
105Â°
Answer: A
Question: Company C sells a line of 25 products with an average retail price of $1,200. If none of these products sells for less than $400, and exactly 12 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
Choices:
11.0
12,000
13,200
14,000
Answer: C
Question: Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 60 percent on clothing, 10 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Choices:
3.6%
4.4%
5.2%
4.8%
Answer: D
Question: What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22 ?
Choices:
1386
1566
1466
1577
Answer: A
Question: All of the stocks on the over-the-counter market are designated by either a 3-letter or a 4-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
27(26^3)
27(26^4)
26(26^5)
27(26^5)
Answer: A
Question: One dog tells the other that there are two dogs in front of me.The other one also shouts that he too had two behind him. How many are they?
Choices:
3
1
6
78
Answer: A
Question: L29Q,L31S,P37U,R41W,T43U,?
Choices:
U47Y
V47Z
V47Y
V46X
Answer: C
Question: A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 5 days. For how many number of days should A and C should work together to complete the remaining work ?
Choices:
2/3
3/4
4/3
5/2
Answer: A
Question: An art gallery owner is hanging paintings for a new show. Of the eight paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Choices:
30
64
6720
216
Answer: C
Question: How many randomly assembled people are needed to have a better than 50% probability that at least 1 of them was born in a leap year?
Choices:
2
3
4
5
Answer: B
Question: Find the no. of ways in which 8 different flowers can be stung to form a garland so that 4 particular flowers are never separated.
Choices:
7!x3!
7!x4!
8!x4!
4!x4!
Answer: D
Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 6. If X invested Rs.5,000. the amount invested by Y is
Choices:
Rs.50,000
Rs.60,000
Rs.15,000
None
Answer: C
Question: If f(a)=2a, what is the value of (f(a-b)+f(a))/b ?
Choices:
3a+4b/b
(4a-2b)/b
5a-6b*b
8a-7b/b
Answer: B
Question: How many factors does 36^2 have?
Choices:
8
24
25
26
Answer: C
Question: A number is doubled and 9 is added. If resultant is trebled, it becomes 75. What is that number
Choices:
8
12
14
16
Answer: A
Question: If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 9 miles?
Choices:
27/5
23/5
22/5
21/5
Answer: A
Question: Machine T takes 2 more hours than machine B to make 20 widgets. If working together, the machines can make 25 widgets in 3 hours, how long will it take machine T to make 40 widgets?
Choices:
6
8
10
12
Answer: D
Question: A train is 400 meter long is running at a speed of 60 km/hour. In what time will it pass a signal post?
Choices:
30 seconds
40 seconds
24 seconds
18 seconds
Answer: C
Question: The product of the squares of two positive integers is 900. How many pairs of positive integers satisfy this condition?
Choices:
1
2
3
4
Answer: D
Question: An archer is shooting arrows from various distances. She shoots at a target from 40 yards, 50 yards, and 60 yards. The probability that she hits within the bullseye from 40 yards is 4/5, the probability that she hits within the bullseye from 50 yards is 3/4, and the probability that she hits within the bullseye from 60 yards is 2/3. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
Choices:
49/50
59/60
9/10
14/15
Answer: B
Question: How many seconds will a 600 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
36
40
45
50
Answer: A
Question: Fortunes, the latest SUV by Toyota Motors, consumes diesel at the rate of 1400×[1000x+x]1400×[1000x+x] litres per km, when driven at the speed of xx km per hour. If the cost of diesel is Rs 35 per litre and the driver is paid at the rate of Rs 125 per hour then find the approximate optimal speed (in km per hour) of Fortuner that will minimize the total cost of the round trip of 800 kms?
Choices:
54 km per hour
49 km per hour
65 km per hour
67 km per hour
Answer: B
Question: Find the annual income derived by investing $ 6800 in 40% stock at 136.
Choices:
2000
250
3000
400
Answer: A
Question: Express the following as a Decimal 6%
Choices:
6.0
0.006
6.6
0.06
Answer: D
Question: Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 8 minutes more to walk to work than to ride his bike to work, then x equals?
Choices:
7
12
15
20
Answer: B
Question: At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Choices:
44%
80%
90%
100%
Answer: B
Question: For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 525 what is the least possible value of k?
Choices:
10
15
21
25
Answer: A
Question: Three models (P, Q, and R) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model P, 17 cars of Model Q, and 15 cars of Model R. What is the maximum number of cars of model P in any showroom ?
Choices:
16
15
14
13
Answer: B
Question: Find the average of first 60 natural numbers?
Choices:
52
30.5
75
65
Answer: B
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of B.
Choices:
288
277
390
361
Answer: C
Question: In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 2,400 circuit boards where 64 fail inspection?
Choices:
356
200
256
264
Answer: A
Question: A, B and C start at the same time in the direction to run around a circular stadium. A completes a round in 252 seconds and C in 198 seconds, all starting at the same point. after what time will they meet again at the starting point ?
Choices:
42 minutes 36 seconds
45 minutes
46 minutes 12 seconds
58 minutes
Answer: C
Question: Diana is painting statues. She has 7/16 of a gallon of paint remaining. Each statue requires 1/16 gallon of paint. How many statues can she paint?
Choices:
7
28
14
19
Answer: A
Question: A can do a piece of work in 30 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Choices:
30 days
86 days
45 days
17 days
Answer: A
Question: In the new budget , the price of kerosene oil rose by 25%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase ?
Choices:
20
30
40
None of them
Answer: A
Question: If six coins are flipped simultaneously, the probability of getting at least one heads and at least one tails is closest to
Choices:
6%
75%
94%
97%
Answer: D
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 7 years, Arun's age will be 19 years. What is the age of Deepak at present?
Choices:
14
12
9
15
Answer: C
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.10 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
272
732.6
277
311
Answer: B
Question: The average of 65 numbers is 40. If two numbers, 83 and 30 are discarded, then the average of the remaining numbers is nearly
Choices:
39
38.78
29
39.47
Answer: D
Question: If W is the set of all the integers between 69 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Choices:
20
33
34
35
Answer: A
Question: Joshua and Jose work at an auto repair center with 2 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
Choices:
1/12
1/9
1/6
1/3
Answer: C
Question: The average of 7 numbers is 25. If each number be multiplied by 5. Find the average of new set of numbers?
Choices:
B)122
C)120
D)125
E)145
Answer: C
Question: Solve 2log53 X log9x + 1 = log53
Choices:
3/5
4
4/6
5
Answer: A
Question: The perimeter of a semi circle is 144 cm then the radius is?
Choices:
28
98
37
13
Answer: A
Question: If log1087.5 = 2.9421, then the number of digits in (875)10 is?
Choices:
28
27
26
40
Answer: D
Question: The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
Choices:
9:20
9:25
9:26
9:21
Answer: B
Question: For every positive odd integer n, the function h(n) is defined to be the product of all the odd integers from 1 to n, inclusive. If p is the smallest prime factor of h(100) +1, then p is?
Choices:
between 10 and 20
between 20 and 30
between 30 and 40
1
Answer: D
Question: Set S consists of numbers 2, 3, 6, 48, and 164. Number K is computed by multiplying one random number from set S by one of the first 10 non-negative integers, also selected at random. If Z=6^K, what is the probability that 678,463 is not a multiple of Z?
Choices:
25%
50%
90%
100%
Answer: C
Question: In a certain game, a player begins with a bag containing tiles numbered 1 through 15, each of which has an equal probability of being selected. The player draws one tile. If the tile is even, the player stops. If not, the player draws another tile without replacing the first. If this second tile is even, the player stops. If not, the player draws a third tile—without replacing either of the first two tiles—and then stops. What is the probability that at the conclusion of the game, the sum of the tiles that the player has drawn is odd?
Choices:
13/36
3/8
5/8
23/36
Answer: D
Question: A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area Q of the triangle in terms of h?
Choices:
h/2
h/4
(h)^2
(h)^2/4
Answer: D
Question: HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
Choices:
66
132
264
152
Answer: B
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 8 pumps work to empty the tank in 1 day?
Choices:
6
11
12
13
Answer: A
Question: A bus leaves Los Angeles at 9:00 a.m. traveling north at 50 miles per hour. At 11:00 a.m. a plane leaves Los Angeles traveling north at 200 miles per hour. At what time will the plane overtake the bus?
Choices:
11:40 a.m.
10:00 a.m.
11:25 a.m.
10:40 a.m.
Answer: A
Question: What is the smallest no. that should be added to 31110 to make it exactly divisible by 9?
Choices:
3
5
6
9
Answer: A
Question: An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
720 km/hr
730 km/hr
750 km/hr
760 km/hr
Answer: A
Question: The below sequence is a bit tricky. Can you solve it to find the next number?
8, 28, 328, 4328, ?
Choices:
38291
54325
38290
54328
Answer: D
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
230
245
250
260
Answer: B
Question: The curved surface of a sphere is 64 π cm2. Find its radius?
Choices:
8
4
5
6
Answer: B
Question: A card is drawn at random from a pack of 52 cards. What is the probability that it is neither a spade nor a jack?
Choices:
9/13
2/13
6/13
5/13
Answer: A
Question: At a contest with 3000 participants, 1/2 of the people are aged 8 to 14. Next year, the number of people aged 8 to 14 will increase by 1/6. After this change, what percentage of the total 3000 people will the 8- to 14-year-olds represent?
Choices:
50%
58.33%
55.33%
68%
Answer: B
Question: Strawberries are purchased for $5/lb at the Farmer's Market. 4/5 of the strawberries will be used for making jam (1/5 of strawberries are rotten and thrown out). The strawberries are crushed and 1 lb of strawberries produces 2 cups of strawberry juice which is mixed with sugar to make the jam. If 3 cups of strawberry juice can make one jar of jam, how much money is needed to buy strawberries to make x number of jars of jam, in dollars?
Choices:
75x/8
8x/15
2x/3
x/2
Answer: A
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Choices:
379
237
480
111
Answer: C
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Choices:
18%
72%
12%
13%
Answer: C
Question: If N is a positive integer and 14N/60 is an integer. What is the smallest Value of N for which N has exactly four different prime factors.?
Choices:
60
180
210
cannot be determined
Answer: C
Question: The decimal 0.1 is how many times greater than the decimal (0.01)^4?
Choices:
10^6
10^7
10^8
10^9
Answer: B
Question: A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph of 3 edges and 3 points. The degree of a point is the number of edges connected to it. For, example, a triangle is a graph with 3 points of degree 2 each. Consider a graph with 12 points. It is possible to reach any point from any through sequence of edges. The number of edges 'e' in the graph must satisfy the condition
Choices:
11 ≤ e ≤ 66
11 ≤ e ≤ 65
0 ≤ e ≤ 11
None
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
176 m
240 m
187 m
186 m
Answer: B
Question: If m and n are positive integers such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
Choices:
2n/m + 1
2n/(m+1)
2m/n
2n/m
Answer: D
Question: Jake remembers only the last three letters of his four-letter Klingon name. If he is sure that the first letter is neither "N" nor "X", and assuming that there are only 12 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?
Choices:
B)9/100
C)1/8
D)4/5
E)1/10
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/453
1/456
1/454
Answer: A
Question: For any real number x, the operatoris defined as:
(x) = x(5 − x)
If p + 1 =(p + 1), then p =
Choices:
0
1
2
4
Answer: D
Question: Last year Elaine spent 20% of her annual earnings on rent. This year she earned 20% more than last year and she spent 30% of her annual earnings on rent. The amount she spent on rent this year is what percent of the amount spent on rent last year?
Choices:
180.0
167.5
172.5
177.5
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150m
750m
850m
350m
Answer: A
Question: Calculate the average of all the numbers between 10 and 86 which are divisible by 9.
Choices:
49.5
45.5
40.5
47.5
Answer: A
Question: Two stations P and Q are 200 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Choices:
12 noon
10.30 am
12.30 am
11 am
Answer: A
Question: A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 55 paise per sq m is
Choices:
Rs. 309.20
Rs. 409.20
Rs. 509.20
None of these
Answer: B
Question: Working at a constant rate, P can finish a job in 3 hours. Q, also working at a constant rate, can finish the same job in 15 hours. If they work together for 2 hours, how many more minutes will it take P to finish the job, working alone at his constant rate?
Choices:
36
40
45
48
Answer: A
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Choices:
2205
2205
2984
2223
Answer: A
Question: Find the least number of five digits which is exactly divisible by 12 and 18?
Choices:
B)10080
C)10025
D)11080
E)12080
Answer: A
Question: A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 22,140, then what is B's share in the profit?
Choices:
Rs. 3100
Rs. 4100
Rs. 5200
None of these
Answer: B
Question: Which number, when found in the denominator of any given fraction, gives a terminating decimal?
Choices:
80
85
90
95
Answer: A
Question: an article with cost price of 180 is sold at 15% profit. what is the selling price?
Choices:
200
204
207
210
Answer: C
Question: Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 120kmph. When will Raghu overtake Anup?
Choices:
8:00am
10:00am
12:00pm
11:10am
Answer: A
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
Choices:
81:121
81:145
81:167
81:113
Answer: A
Question: The sum of three consecutive multiples of 3 is 99. What is the largest number?
Choices:
36
30
27
24
Answer: A
Question: Find the average of the series : 4555,250,355,450,150
Choices:
1152
267
207
174
Answer: A
Question: If x is a positive integer, then the least value of x for which x! is divisible by 1,000,0000 is?
Can someone please explain intuitively what the question is asking?
Choices:
9
25
15
30
Answer: B
Question: population is 20000. Pop increases by 10% every year, then the pop after 3 years is?
Choices:
26640
36620
26620
26820
Answer: C
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
66
245
77
29
Answer: B
Question: The value of (4 3) + 2 is
Choices:
10
14
24
11
Answer: B
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150
277
992
187
Answer: A
Question: A train ,125 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
Choices:
250 m
235 m
220 m
240 m
Answer: A
Question: Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.18750 then B's share is (in Rs.)
Choices:
6250
5000
7500
8500
Answer: A