RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: 40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?
A.390
B.405
C.408
D.415
Answer: C.408
Explanation: Solution:
Let X be the number of employees.
We are given that 40% of the employees are workers. Now, 40% of X is (40/100)*X =0.4X.
Hence, the number of workers is 2X/5.
All the remaining employees are executives, so the number of executives equals,
(The number of Employees)–(The number of Workers),
= X–(2X/5)
=(3X/5)
The annual income of each worker is Rs. 390.
Hence, the total annual income of all the workers together is,
= (2X/5)*390 =156X.
Also, the annual income of each executive is Rs. 420. Hence, the total income of all the executives together is,
(3X/5)×420 =252X
Hence, the total income of the employees is,
= 156X +252X =408X.
The average income of all the employees together equals,
Answer: Option C
Question: A highway is to be divided into 3 lanes. For this purpose, two yellow stripes are painted so that stripes divide the highway into 3 lanes. If 3 gallons of paint cover an area of 4P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches)
A.220P/mx
B.660mx/P
C.880mx/P
D.440P/mx
Answer: B.660mx/P
Explanation: 1 square foot needs 3/4P gallons of paint.
The width of each stripe is x/12 feet.
The length of each stripe is 5280m feet.
The area of each stripe is (5280m)(x/12) = 440mx square feet.
For two stripes, the total area is 880mx square feet.
The number of gallons needed is (880mx)*(3/4P) = 660mx/P gallons.
The answer is B.
Question: WHEN A PERSON SELLS TWO ITEMS $800 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
A.no loss no gain
B.4% loss
C.5% gain
D.2% gain
Answer: B.4% loss
Explanation: When two items are sold at the same price, one at a profit of a% and other at a loss of a% (which means the cost price of one item was lower than the selling price and the cost price of the other item was higher than the selling price), there will always be a loss of (a^2)/100 %. e.g. Here a = 20, so loss % = (20)^2/100 % = 4%.
Answer : B
Question: 1500 men have provisions for 17 days. If 320 more men join them, for how many days will the provisions last now?
A.12.9
B.12.0
C.14
D.15
Answer: C.14
Explanation: 1500*17 = 1820*x
x = 14
Answer:C
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan?
A.288 km
B.886 km
C.866 km
D.300 km
Answer: D.300 km
Explanation: Let the distance travelled be x km.
Total time = (x/2)/30 + (x/2)/25 = 11 => x/60 + x/50
= 11 => (5x + 6x)/300 = 11 => x
= 300 km
Answer: D
Question: Out of 5 consonants and 3 vowels, how many words of 3 consonants and 2 vowels can be formed?
A.25200
B.120
C.3600
D.300
Answer: C.3600
Explanation: Required selection = select 3 consonants from 5 and 2 vowels frm 3
= 5C3 * 3C2
= 30
As we have to form 5 letter word the above combination of consonants and vowels can be done in 5! = 120 different ways
Required no. of ways = 30 * 120
= 3600
Ans - C
Question: In 1992 a total of 550 earthquakes occurred worldwide, some but not all of which occurred in Asia. If 150 of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
A.2/8
B.1/8
C.3/8
D.5/8
Answer: C.3/8
Explanation: We're given a couple of facts to work with:
1) There were a total of 550 earthquakes
2) Of those earthquakes, 150 of them occurred in Asia
We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.
Thus, there were 400 earthquakes that DID NOT occur in Asia....
The answer to the question is 150/400 = 3/8
Answer : C
Question: Each month a retailer sells 100 identical items. On each item he makes a profit of $40 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
A.191
B.213
C.221
D.223
Answer: D.223
Explanation: For this question, we'll need the following formula:
Sell Price = Cost + Profit
We're told that the profit on 1 item is $20 and that this represents 10% of the cost:
Sell Price = Cost + $40
Sell Price = $400 + $40
Thus, the Sell Price is $440 for each item. Selling all 100 items gives the retailer...
100($40) = $2,000 of profit
If the retailer offers a 5% discount on the sell price, then the equation changes...
5%(440) = $22 discount
$418 = $400 + $18
Now, the retailer makes a profit of just $18 per item sold.
To earn $2,000 in profit, the retailer must sell....
$18(X) = $2,000
X = 2,000/18
X = 222.222222 items
You'll notice that this is not among the answer choices.... 221 and 223 are.
Selling 221 items would get us 9(221) = $1989 which is NOT enough money. To get back to AT LEAST $2,000, we need to sell 223 items.
Final Answer:
D
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
A.165
B.185
C.205
D.225
Answer: A.165
Explanation: Total number of persons in the committee = 5 + 6 = 11
Number of ways of selecting group of eight persons = ¹¹C₈ = ¹¹C₃ = (11 * 10 * 9)/(3 * 2) = 165 ways.
ANSWER:A
Question: The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights.
A.1/4
B.1/8
C.2/4
D.4/1
Answer: A.1/4
Explanation: Sol.
Let their radii be 2x, x and their heights be h and H respectively. Then,
1/3 * ∏ * (2x)² * h = 1/3 * ∏ * x² * H
or
h/H = 1/4.
Answer A
Question: If a card is drawn from a shuffled deck of cards, what is the probability of drawing a red card or a 9?
A.14/27
B.15/26
C.7/13
D.7/12
Answer: C.7/13
Explanation: P(Rá´œ9) = P(R) + P(9) - P(Râˆ©9), where R denotes a red card and 9 denotes a 9 card.
P(Rá´œ9) = 26/52 + 4/52 - 2/52
P(Rá´œ9) = 7/13
Answer: C
Question: The closest approximation of D(69.28 × 0.004)/0.03 is
A.0.092
B.0.92
C.9.2
D.92
Answer: C.9.2
Explanation: D(69.28 × 0.004)/0.03
1. 0.004 = 4 × 10^(-3)
2. 0.03 = 3 × 10^(-2)
3. (a × b)/c = a × (b/c)
4. 0.004/0.03 = 4 × 10^(-3)/ (3 × 10^(-2)) = 4 × 10^( -3 - (-2))/3 = 4 × 10^(-1) / 3 = (4/3) × 10^(-1) = 1.333 × 10^(-1)
Therefore,
(69.28 × 0.004)/0.03 = 69.28 × (0.004/0.03) = 69.28 × 1.33 × 10^(-1) = 69.28 × 1.33/10 = 6.928*1.33
Now,
7 × 2 = 14
7 × 1 = 7
or better:
6.9 × 1 = 6.9
6.9 × 2 = 13.8
hence,
6.9 <6.928 × 1.33 < 13.8
9.2 is the only answer that satisfies this condition.C
Question: Company C sells a line of 25 products with an average retail price of $1,000. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
A.9000
B.8000
C.7000
D.6000
Answer: C.7000
Explanation: The average price of 25 products is $1,000 means that the total price of 25 products is 25*1,000=$25,000.
Next, since exactly 10 of the products sell for less than $1,000, then let's make these 10 items to be at $400 each (min possible).
Now, the remaining 14 items cannot be priced less than $1,000, thus the minimum possible price of each of these 14 items is $1,000.
Thus the minimum possible value of 24 products is 10*400+14*1,000=$18,000.
Therefore, the greatest possible selling price of the most expensive product is $25,000-$18,200=$7,000.
Answer: C.
Question: The greatest possible length which can be used to measure exactly the length 5m ,7m 25cm, 1m 25 cm is?
A.25cm
B.101cm
C.56cm
D.42cm
Answer: A.25cm
Explanation: Required length = H.C.F of 500cm, 725cm, 125cm = 25cm
Answer is A
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $12. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
A.108/(xy)
B.90xy
C.xy/90
D.xy/10
Answer: A.108/(xy)
Explanation: The area of the carpet in feet is xy.
The area in square yards is xy / 9.
The price per square yard is 12 / (xy/9) = 108/(xy).
The answer is A.
Question: If it takes 4 identical printing presses exactly 4 hours to print 8,000 newspapers, how long would it take 2 of these presses to print 6,000 newspapers?
A.6 hours
B.8 hours
C.7 hours
D.5 hours
Answer: A.6 hours
Explanation: 4 presses - 8,000 newspapers - 4 hours ;
2 presses - 4,000 newspapers - 4 hours ; (240 mins)
2 presses - 6,000 newspapers - 240/4000*6000 = 360 mins = 6 hrs
Answer : A
Question: Three numbers are in the ratio 2:3:5 and their H.C.F is 30. The numbers are:
A.2, 3, 5
B.5, 10, 15
C.10, 20, 30
D.60, 90, 150
Answer: D.60, 90, 150
Explanation: Let the required numbers be 2x, 3x and 5x. Then, their H.C.F = x. So, x = 30.
The numbers are 60, 90, 150.
ANSWER:D
Question: TOM traveled the entire 100 miles trip. If he did the first 50 miles of at a constant rate 20miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour?
A.28.36 mph
B.26.55 mph
C.28.57 mph
D.25.56 mph
Answer: C.28.57 mph
Explanation: avg speed = total distance/ total time = (d1+d2)/(t1+t2) = (50+50) / ((50/20)+(50/50)) = 60*2/3 = 28.57 mph
C
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 10 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A.76 km/hr
B.66 km/hr
C.48 km/hr
D.67 km/hr
Answer: C.48 km/hr
Explanation: Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x m/sec.
Relative speed = ( x + 2x) = 3x m/sec.
(100 + 100)/10 = 3x => x = 20/3.
So, speed of the faster train = 40/3 = 40/3 * 18/5 = 48 km/hr.
Answer:C
Question: In the first twelve overs of a cricket game, the run rate was only 4.6. What should be the run rate in the remaining 38 overs to reach the target of 249 runs?
A.5.75
B.5.1
C.6.5
D.6.75
Answer: B.5.1
Explanation: Explanation :
Required run rate = (249 - (4.6 x 12))/38
= 193.8/38
= 5.1
Answer : B
Question: The sum of all consecutive odd integers from −25 to 35, inclusive, is
A.130
B.135
C.155
D.195
Answer: C.155
Explanation: The sum of the odd numbers from -25 to +25 is 0.
Let's add the remaining numbers.
27+29+31+33+35 = 5(31) = 155
The answer is C.
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 136. Find their present ages.
A.20, 28
B.28, 36
C.35, 45
D.56, 72
Answer: D.56, 72
Explanation: Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 136
20x = 160 => x = 8
Their present ages are 32, 56 and 72 years respectively.
ANSWER:D
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
A.10 a.m
B.10 a.m
C.90 a.m
D.18 a.m
Answer: B.10 a.m
Explanation: D = 110 – 20 = 90
RS = 20 + 25 = 45
T = 90/45 = 2 hours
8 a.m. + 2 = 10 a.m.
Answer:B
Question: A man can row downstream at 28 kmph and upstream at 16 kmph. Find the speed of stream ?
A.8
B.5
C.4
D.6
Answer: D.6
Explanation: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 28 --- (1)
and x - y = 16 --- (2)
From (1) & (2) 2x = 44 => x = 22, y = 6.
Answer:D
Question: An auction house charges a commission of 18% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000?
A.$115,000
B.$160,000
C.$200,000
D.$240,000
Answer: C.$200,000
Explanation: Say the price of the house was $x, then 0.18*50,000+0.1*(x-50,000)=24,000 --> x=$200,000 (18% of $50,000 plus 10% of the amount in excess of $50,000, which is x-50,000, should equal to total commission of $24,000).
Answer: C.
Question: A certain list of 200 test scores has an average (arithmetic mean) of 80 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 202 test scores with a standard deviation less than d ?
A. 80 and 80
B. 80 and 85
C. 80 and 90
D. 85 and 85
Answer: A. 80 and 80
Explanation: The standard deviation of a set shows how much variation there is from the mean, how widespread a given set is. So, a low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.
So when we add numbers, which are far from the mean we are stretching the set making SD bigger and when we add numbers which are close to the mean we are shrinking the set making SD smaller.
According to the aboveadding two numbers which are closest to the mean will shrink the set most, thus decreasing SD by the greatest amount.
Closest to the mean are 80 and 80 (actually these numbers equal to the mean) thus adding them will definitely shrink the set, thus decreasing SD most.
Answer: a.
Question: A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. The distance travelled on foot is :
A.1 hr 16 min
B.1 hr 17 min
C.1 hr 18 min
D.1 hr 19 min
Answer: A.1 hr 16 min
Explanation: Sol.
Let the distance travelled on foot be x km.
then, distance travelled on bicycle = (61 - x) km.
So, x/4 + (61-x)/9 = 9
⇔ 9x + 4 (61 - x) = 9 * 36
⇔ 5x = 80
⇔ x = 16 km.
Answer A
Question: A and B can do a piece of work in 4 days, B and C in 5 days, C and A in 6 days. How long will C take to do it?
A.140/11 days
B.120/7 days
C.100/13 days
D.80/7 days
Answer: B.120/7 days
Explanation: 2c = 1/5 + 1/6 – 1/4 = 7/60
c = 7/120 => 120/7 days
The answer is B.
Question: A store has announced a 10% rebate for the entire day. If Amy only has Rs.500 in her pocket and needs Rs.20 to get back home, how many bottles of juice can she buy at the most from the store, with each juice costing Rs.50 before the discount?
A.8
B.9
C.10
D.11
Answer: C.10
Explanation: Explanation:
Amy has 500 - 20 = 480 to spend.
Each juice costs 50 * (1 - 10%) = 50 * 0.90 = 45.
480 / 45 = 10.67
Since you cannot buy juice in halves, Amy can buy 10 bottles at the most.
Correct Option : C
Question: A grocer has a sale of Rs. 5700, Rs. 8550, Rs. 6855, Rs. 3850 for 4 consecutive months. How much sale must he have in the fifth month so that he gets an average sale of Rs. 7800?
A.s. 14991
B.s. 49930
C.s. 14045
D.s. 14999
Answer: C.s. 14045
Explanation: Total sale for 4 months = Rs. (5700 + 8550+ 6855 + 3850 ) = Rs.24955
Required sale = Rs. [ (7800 x 5) - 24955 ]
= Rs. (39000 - 24955)
= Rs. 14045
Option C
Question: For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $2 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
A.1 : 4 : 400
B.1 : 2 : 200
C.20 : 4 : 1
D.100 : 4 : 1
Answer: B.1 : 2 : 200
Explanation: B.........M........Y
20.....0,20......Y
B.........2........1
What I did first was to turn 0.20 to 2 (by multiplying by 10), so that it is easy to find the LCM. This led me to this:
B.........M........Y
200.....2.........Y
B........20......10
Then I multiplied every row by 20 (the LCM of 2 and 20), which led me to this:
B.........M........Y
2000...20.......10
Then I got rid of the extra zero, and in the correct order this is Y:M:B=1:2:200
ANS B
Question: A train 100 m long crosses a platform 200 m long in 15 sec; find the speed of the train?
A.94 kmph
B.58 kmph
C.72 kmph
D.94 kmph
Answer: C.72 kmph
Explanation: D = 100 + 200 = 300
T = 15
S = 300/15 * 18/5 = 72 kmph
Answer:C
Question: Find the average of all prime numbers between 1 and 10
A.2.5
B.1.35
C.4.25
D.6.12
Answer: C.4.25
Explanation: Prime numbers between 1 and 10 are 2,3,5,7
Required average = (2+3+5+7)/4 = 17/4 = 4.25
Answer is C
Question: Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 13 songs, what are the chances that the third song he hears will be his favorite?
A.1/13
B.1/12
C.1/11
D.3/14
Answer: A.1/13
Explanation: The player plays the songs on the album at random, so there are 13 songs that can be the third one played. Only 1 of these ways will result in Bill's favorite song being the third one played.
Total outcomes ==> 13
Total positive outcomes ==> 1
Correct answer is A) 1/13
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
A.124345 m
B.233234 m
C.153600 m
D.123567 m
Answer: C.153600 m
Explanation: Perimeter = Distance covered in 8 min. = 12000	x 8	m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
Question: A person travels equal distances with speeds of 2km/hr, 4km/hr, 6km/hr. and takes a total time of 11minutes. Find the total distance ?
A.1km
B.500mts
C.600mts
D.2km
Answer: C.600mts
Explanation: Let the each distance be x km
total distance = 3x
then total time,
(x/2)+(x/4)+(x/6) = 11/60
x=0.2
total distance = 3*0.2 = 0.6km = 600meters
correct option is C
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 1400 per sq.metre.
A.Rs. 15,000
B.Rs. 15,500
C.Rs. 15,600
D.Rs. 28,875
Answer: D.Rs. 28,875
Explanation: Solution
Area of the floor	= (5.5 x 3.75)m²
= 20.635m ²
Cost of paying	= Rs. (1400 x 20.625)
= Rs.28875.
Answer D
Question: The difference between a number and its two-fifth is 510. What is 10% of that number?
A.19
B.85
C.77
D.76
Answer: B.85
Explanation: Let the number be x. Then,
x - 2/5 x = 510
x = (510 * 5)/3 = 850
10% of 850 = 85.
Answer:B
Question: In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 20 hours a day, the number of men required is:
A.4
B.5
C.6
D.8
Answer: C.6
Explanation: Explanation :
Let the required number of men be x.
Less days, More men (Indirect Proportion)
More working hrs per day, Less men (Indirect Proportion)
Days 8 : 10
Working Hrs 20 : 8 :: 12 : x
=> 8 x 20 x x = 10 x 8 x 12
=> x = 10 x 8 x 12 / (8 x 20)
=> x = 6
Answer : C
Question: What is the greatest integer m for which the number 40!/10^m is an integer?
A.7
B.8
C.9
D.10
Answer: C.9
Explanation: 10^m = 2^m*5^m.
Let's figure out how many 5's are in the prime factorization of 40!
The multiples of 5 are: 5, 10, 15, 20, 5*5, 30, 35, 40.
Thus 5^9 will divide 40! but 5^10 will not.
Clearly 2^9 will divide 40!
So m=9 is the largest possible integer.
The answer is C.
Question: Find the probability that a number selected from numbers 1, 2, 3,..., 20 is a prime number, when each of the given numbers is equally likely to be selected?
A.10/20
B.1/20
C.8/20
D.3/20
Answer: C.8/20
Explanation: Let X be the event of selecting a prime number.
X = {2, 3, 5, 7, 11, 13, 17, 19}
n(X) = 8,
n(S) = 20
Hence, the required probability is 8/20.
ANSWER:C
Question: If m= (n-1)(n+2), then what is the least possible value of m?
A.3
B.-9/4
C.2
D.1
Answer: B.-9/4
Explanation: Answer : B
Question: (786×74) ÷ ? = 2423.5
A.A)24
B.B)48
C.C)58
D.D)68
Answer: A.A)24
Explanation: Explanation:
58164/x = 2423.5 => x = 58164/2423.5 = 24
Answer: Option A
Question: What will come in place of the x in the following Number series? 65536, 32768, 16384, 8192, 4096, x
A.2048
B.2046
C.2045
D.2044
Answer: A.2048
Explanation: Go on dividing by 2 to the next number
Answer : A
Question: The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 800 meters per second, what was the speed, in meters per second, when the stopwatch was started?
A.25/3
B.25/4
C.25/8
D.25/16
Answer: D.25/16
Explanation: Let x be the original speed when the stopwatch was started.
In 90 seconds, the speed doubled 9 times.
2^9 * x = 800
x = (2^5 * 25) / 2^9 = 25/16
The answer is D.
Question: A ball dropped from H height and moves 80% of height each time. Total distance covered is
A.4H
B.5H
C.7H
D.9H
Answer: D.9H
Explanation: First time distance is H
Second time 80H/100=4H/5
similarly third time 80%of 4H/5=H(4^2)/(5^2)
and so on...
this will lead to infinite terms of geometric progression
i.e
H+2*4H/5+2*16H/25............
sum = H+ 2*4H/(5(1-4/5))=9H
ANSWER:D
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
A.12 kg
B.60 kg
C.72 kg
D.85 kg
Answer: B.60 kg
Explanation: Volume of water displaced	= (3 x 2 x 0.01) m3
= 0.06 m3.
Mass of man	= Volume of water displaced x Density of water
= (0.06 x 1000) kg
= 60 kg.
answer :B
Question: If each of 4 digit code is formed of integers from 1 to 50, inclusively, and each of the digits are different, how many possible codes are there?
A.5527200
B.5586300
C.5598600
D.5547800
Answer: A.5527200
Explanation: Code consists of 4 digits and no digit is repeated.
First digit of the code can have 50 possibilities
Second digit can have 49 possibilities
Third digit can have 48 possibilities
fourth digit can have 47 possibilities
Total number of possible codes = 50*49*48*47 = 5527200
Answer: A
Question: Chris mixed 4 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
A. 1/7
B. 1/5
C. 1/4
D. 1/3
Answer: C. 1/4
Explanation: 1 lbs of raisin = $1
4 lbs of raisin = $4
1 lbs of nuts = $3
4 lbs of nuts = $12
Total value of mixture = 12+4 = 16
Fraction of the value of raisin = 4/16 = 1/4
Ans:C
Question: A gets 4 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
A.Rs.115.66
B.Rs.116.66
C.Rs.125
D.Rs.115
Answer: B.Rs.116.66
Explanation: A+B+C = 675
A = 4B
4B+B+B-25 = 675
6B = 700
B = 116.66
ANSWER:B
Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
A.60 mph
B.56.67 mph
C.53.33 mph
D.64 mph
Answer: D.64 mph
Explanation: Answer
Average speed of travel = Total distance travelled/Total time taken
Total distance traveled by Steve = Distance covered in the first 2 hours + distance covered in the next 3 hours.
Distance covered in the first 2 hours = speed * time = 40 * 2 = 80 miles.
Distance covered in the next 3 hours = speed * time = 80 * 3 = 240 miles.
Therefore, total distance covered = 80 + 240 = 320 miles.
Total time taken = 2 + 3 = 5 hours.
Hence, average speed = Total distance travelled/Total time taken=320/5 = 64 miles per hour.
Choice D
Question: what is the average of odd numbers from 1 to 79?
A.30
B.25
C.35
D.40
Answer: D.40
Explanation: Sum of n odd natural number is given by,
Sum of n odd natural numbers = n*n
Average of n odd natural numbers is given by,
= (n*n)/n = n.
Here,
n = Number of terms= (79 +1)/2 = 40.
So, required average = 40.
answer : D
Question: A SHAM bought toy at 60 for a rupee. How many for a rupee must he sell to gain 20%?
A.7200
B.200
C.3000
D.400
Answer: A.7200
Explanation: C.P. of 60 toffees = Re. 10
S.P. of 60 toffees = 1200% of Re. 10 = Rs. 120
For Rs. 120, toffees sold = 60.
For Re. 10, toffees sold = 120*60 = 7200
Answer A
Question: Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
A.60,87
B.60,81
C.60,88
D.60,84
Answer: D.60,84
Explanation: (5x-25):(7x-25) = 35:59
x = 12 => 60,84
Answer:D