mathewhe/aqua_rat huggingface dataset:
Question: 2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 32 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?
(A) 15 km/hr
(B) 24 km/hr
(C) 17 km/hr
(D) 18.75 km/hr
(E) None of these
Rationale: Explanation :
Total distance covered by B=32*6=192kmTotal time taken by A to cover same distance=2+6=8 hrsaverage speed of A=192/8=24 km/hr
Answer : B
Answer: (B) 24 km/hr
Question: A train 1000 m long can cross an electric pole in 200 sec and then find the speed of the train?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
Rationale: Length = Speed * time
Speed = L/T
S = 1000/200
S = 5 M/Sec
Speed= 5*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 18 Kmph
Answer:D
Answer: (D) 18
Question: For all integers a and b, a%b = (a + b)(a - b). If 4%x = 12, then which of the following could be a value of x?
(A) -4
(B) -3
(C) 2
(D) 3
(E) 6
Rationale: 4%x = (4+x)(4-x)
16-x^2 = 12
x^2 = 4
x=-2,2
Ans: C
Answer: (C) 2
Question: A man is 24 years older than his son. In three years, his age will be twice the age of his son. The present age of the son is
(A) 14 years
(B) 18 years
(C) 20 years
(D) 21 years
(E) None
Rationale: Solution
Let the son's present age be x years .Then, man's present age	= (x+24)years.
Then	â€¹=â€º(x+24)+3= 2(x+3)
â€¹=â€ºx+27=2x+6
x= 21.
Answer D
Answer: (D) 21 years
Question: Kiran has 85 currency notes in all, some of which were of Rs. 100 denomination and the remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs.5000. How much amount did she have in the denomination of Rs. 50?
(A) 1900
(B) 3500
(C) 4000
(D) 4200
(E) 4450
Rationale: Let the number of 50 – rupee notes be x.
Then, the number of 100-rupee notes = (85 – x)
50x + 100(85 – x) = 5000
= x + 2 (85 – x) = 100
= x =70
So, required amount = Rs. (50 x 70) = Rs. 3500
Answer: Option B
Answer: (B) 3500
Question: In a bag there are a certain number of red balls and blue balls. The probability of picking up exactly 1 blue ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of red balls to blue balls in the bag
(A) 5:1
(B) 1:6
(C) 1:4
(D) 1:46
(E) 1:1
Rationale: since the probability of drawing a blue ball out of two picks is 1/2.
the ratio of the blue ball to red balls should be 1:1
Answer : E
Answer: (E) 1:1
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 6000. With the help of C, they completed the work in 3 days. How much is to be paid to C?
(A) s. 375
(B) s. 400
(C) s. 600
(D) s. 750
(E) s. 850
Rationale: C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24
A's wages : B's wages : C's wages = 1/6 : 1/8 : 1/24 = 4: 3 : 1
C's share (for 3 days) = Rs.	(3 * 1/24 * 6000) =Rs.750
Answer = D
Answer: (D) s. 750
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
(A) 29
(B) 32
(C) 19
(D) 77
(E) 99
Rationale: A/8 = 8 * 8 => A = 8 * 8 * 8
x * 2x = 8 * 8 * 8
x = 16 => 2x = 32
Answer:B
Answer: (B) 32
Question: If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 18. By how much do the two digits differ?
(A)  2
(B)  4
(C)  5
(D)  6
(E)  7
Rationale: Given that (10a + b) - (10b + a) = 18 --> 9a - 9b =18 --> a - b = 2.
Answer: A.
Answer: (A)  2
Question: In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
(A) 400
(B) 800
(C) 1250
(D) 2500
(E) 10 000
Rationale: The percent of tagged fish in the second catch is 2/40*100 = 5%.
We are told that 5% approximates the percent of tagged fish in the pond. Since there are 40 tagged fish, then we have 0.05x = 40 --> x = 800.
Answer: B.
Answer: (B) 800
Question: What is the cost of leveling the field in the form of parallelogram at the rate of Rs.40/10 sq.metre, whose base & perpendicular distance from the other side being 24m & 34m respectively?
(A) s. 600
(B) s. 630
(C) s. 640
(D) s. 648
(E) s. 816
Rationale: Area of the parallelogram = Length of the base * Perpendicular height
= 24 * 34 = 816 m.
Total cost of levelling = Rs.816
E
Answer: (E) s. 816
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 3 percent and the mobile phone at a profit of 10 percent. Overall he make a.
(A) 228
(B) 350
(C) 27
(D) 200
(E) 881
Rationale: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 3/100) = 15000 - 450
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -450 + 800 = Rs. 350
As this is positive, an overall profit of Rs. 350 was made.Answer:B
Answer: (B) 350
Question: There are 12 students in a class. On the day the test was given, Ella was absent. The other 11 students took the test and their average was 74. The next day, Ella took the test, and with this grade included, the new average was 75. What was Ella's grade on the test?
(A) 82
(B) 83
(C) 84
(D) 85
(E) 86
Rationale: 11*74+Ella's grade=12*75
Ella's grade is 12*75-11*74=86.
The answer is E.
Answer: (E) 86
Question: At a casino in Mumbai, there are 3 tables A, B and C. The payoffs at A is 10 : 1, at B is 20 : 1 and C is 30 :1. If a man bets Rs. 200 at each table and win at two of the tables, what is the maximum and minimum difference between his earnings can be ?
(A) Rs. 4000
(B) Rs. 4500
(C) Rs. 2500
(D) Rs. 2000
(E) None of these
Rationale: Solution: Maximum earning will be only possible when he will won on the maximum yielding table.
A → 10 :1
B → 20 :1
C → 30 :1
i.e., he won B and C but lost on A,
20 *200 +30 *200 - 1 *200 = 9800
Minimum earnings will be when he won on table A and B and lose on table 3.
10 *200 + 20 *200 - 1 *200 = 5800
Therefore, difference = 9800-5800 = Rs. 4000.
Alternatively,
The difference,
= [(30 +20 -1) - (10 +20 -1)] * 200
= Rs. 4000.
Answer: Option A
Answer: (A) Rs. 4000
Question: Can you find the smallest non fractional number such that
If the number gets divided by 3 , we get the remainder of 1;
If the number gets divided by 4 , we get the remainder of 2
If the number gets divided by 5 , we get the remainder of 3;
If the number gets divided by 6 , we get the remainder of 4.
(A) 55
(B) 60
(C) 58
(D) 44
(E) 72
Rationale: C
58.
As we know LCM of the numbers 3 4 5 & 6 is 60.
So if i divide 60 by any of the four number , it gives remainder as 0.
Now to get reminder as desired, is should be 2 short of 60. (3-1,4-2,5-3,6-4 )
Answer: (C) 58
Question: A car is traveling 45 kilometers per hour. How many meters does the car travel in one minute?
(A) 750 meters / minute
(B) 850 meters / minute
(C) 950 meters / minute
(D) 550 meters / minute
(E) 650 meters / minute
Rationale: Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify
45 kilometers per hour = 45 km/hr
= (45 * 1000 meters) / (60 minutes) = 750 meters / minute
correct answer A
Answer: (A) 750 meters / minute
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
(A) 140 sq.units
(B) 176 sq.units
(C) 178 sq.units
(D) 189 sq.units
(E) 678 sq.units
Rationale: Given that the area of the square = 1225 sq.units
=> Side of square = √1225 = 35 units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 14 * 10 = 140 sq.units
Answer:A
Answer: (A) 140 sq.units
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
(A) 1887 ways
(B) 1440 ways
(C) 1657 ways
(D) 1652 ways
(E) 6745 ways
Rationale: In the word, "MATERIAL" there are three vowels A, I, E.
If all the vowels are together, the arrangement is MTRL'AAEI'.
Consider AAEI as one unit. The arrangement is as follows.
M T R L A A E I
The above 5 items can be arranged in 5! ways and AAEI can be arranged among themselves in 4!/2! ways.
Number of required ways of arranging the above letters = 5! * 4!/2!
= (120 * 24)/2
=1440 ways.
Answer:B
Answer: (B) 1440 ways
Question: A worker can load one truck in 5 hours. A second worker can load the same truck in 4 hours. If both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck?
(A) 1.8
(B) 2.0
(C) 2.2
(D) 2.4
(E) 2.6
Rationale: The workers fill the truck at a rate of 1/5 + 1/4 = 9/20 of the truck per hour.
Then the time to fill one truck is 20/9 which is about 2.2 hours.
The answer is C.
Answer: (C) 2.2
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
(A) 1/3
(B) 1/7
(C) 1/4
(D) 1/2
(E) 1/9
Rationale: 3h = 5c
6c = 10s
A = 21h*3 + 15c*2
= 63h + 30c
= 105c + 30c = 135c
B = 15c*6 + 40s*7 1/2
= 90c + 300s
= 90c + 180c = 270c
A:B = 135:270
27:52
A = 27/79 = 1/3
Answer: a
Answer: (A) 1/3
Question: The arithmetic mean of the set S = {5, K, 4, 10, M, 5} is 6. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?
(A) 4
(B) 4.5
(C) 5
(D) 5.5
(E) 6
Rationale: The sum of the numbers is 6*6 = 36
K+M = 36 - 10 - 5 - 5 - 4 = 12
Since K ≠ M, K and M do not equal 6.
Thus one of the two numbers is 5 or less and one is 7 or more.
Then middle two numbers in the set are 5 and 5.
The median is 5.
The answer is C.
Answer: (C) 5
Question: An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 14 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
(A) 9 and 6/7 pounds
(B) 10 and 1/10 pounds
(C) 10 and 2/5 pounds
(D) 11 pounds
(E) 11 and 1/7 pounds
Rationale: Solution: Average weight = Total weight/number of packages. The total weight on Tuesday was 6 * (11 and 2/3 pounds), or 70 pounds. The total weight on Wednesday was 14 * (9 and 3/7 pounds), or 132 pounds. The sum of the weights for both days is 132 + 70, or 202 pounds. The average is 202 pounds/20 packages, or 10 and 1/10 pounds per package.
Correct answer: B
Answer: (B) 10 and 1/10 pounds
Question: The area of the largest circle that can be drawn inside a square of side 42 Cm in length is:
(A) 1200
(B) 1428
(C) 1420
(D) 1356
(E) 1386
Rationale: Radius of required circle = 21 Cm
its area = 22/7 × 21 × 21
66 × 21= 1386 Cm(power)2
Answer is E.
Answer: (E) 1386
Question: Six computers, each working at the same constant rate, together can process a certain amount of data in 6 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 4 days?
(A) 3
(B) 5
(C) 6
(D) 9
(E) 12
Rationale: Explanation: If six computers require 6 days to process the data, thats
a total of 36 computer-days the product of 6 and 6. If you change the number
of computers or the number of days, 36 will have to remain the product, whether
that means 36 days of one computer or one day with 36 computers.
In 4 days, the number of computers is:
4c = 36
c = 9
9 computers is 3 more than the 6 that it took to do the job in 6 days, so
the correct choice is (A).
Answer: (A) 3
Question: he ratio between the sale price and the cost price of an article is 5:1. What is the ratio between the profit and the cost price of that article?
(A) 2:6
(B) 2:9
(C) 2:4
(D) 2:1
(E) 2:5
Rationale: Let C.P. = Rs. x and S.P. = Rs. 5x.
Then, Gain = Rs. 4x
Required ratio = 2x : x = 2:1
Answer:D
Answer: (D) 2:1
Question: Maggie has to buy 50 toys from a toy shop. She buys 13 hoola hoops, 15 beach balls, and 12 baseball bats. What percentage of Toys has she not bought ?
(A) 26 %
(B) 34 %
(C) 30 %
(D) 20 %
(E) 38 %
Rationale: Explanation :
Toys not bought = 50 - 13 - 15 - 12 = 10
Toys not bought percentage (10/50 x 100) %
Answer : D
Answer: (D) 20 %
Question: 20 men can dig a tunnel in 30 days. If after 10 days, 20 more men are deployed to dig the tunnel, how many more days it will take to dig the whole tunnel?
(A) 10
(B) 15
(C) 20
(D) 25
(E) 30
Rationale: A
Remaining work can be completed by 20 men in 30-10 = 20 days.
If 20 men can do X work in 20 days, and let us say 40 men take N days to do the same work.
Now, more men, less number of days (inversely proportion)
20 : 40 :: N : 20
N = 20 X 20 / 40 = 10 days.
Answer: (A) 10
Question: A car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
(A) 24
(B) 26
(C) 28
(D) 30
(E) 32
Rationale: 36 * T = 1 km => T = 1/36 km/h
V*(T+20/3600) = 1
V (1/36 + 20/3600) = 1
V (120/3600) = 1
V = 30 km/h
The answer is D.
Answer: (D) 30
Question: A cycle is bought for Rs.900 and sold for Rs.1170, find the gain percent?
(A) 30%
(B) 20%
(C) 23%
(D) 74%
(E) 83%
Rationale: 900 ---- 270
100 ---- ? =>
30%
Answer:A
Answer: (A) 30%
Question: Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
(A) 17 hours
(B) 18 hours
(C) 14 hours
(D) 19 hours
(E) 16 hours
Rationale: Part filled in 2 hours = 2/6 = 1/3.
Remaining part = 1 - 1/3 = 2/3
(A + B)'s 1 hour work = 2/21
C's 1 hour work = [(A + B + C)'s 1 hour work - (A + B)'s 1 hour work]
= (1/6 - 2/21) = 1/14
C alone can fill the tank in 14 hours.
Answer:C
Answer: (C) 14 hours
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
(A) 28
(B) 24
(C) 22
(D) 20
(E) 30
Rationale: 1/A + 1/B + 1/C = 1/8 (Given)
Also given that A = 2B and B = 2C
=> 1/2B + 1/B + 2/B = 1/8
=> (1 + 2 + 4)/2B = 1/8
=> 2B/7 = 8
=> B = 28 hours.
ANSWER A
Answer: (A) 28
Question: In a certain town, there are six times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is
(A) 1 to 4
(B) 1 to 3
(C) 1 to 2
(D) 3 to 4
(E) 6 to 7
Rationale: Town state: 6 times the whole town or country
then ratio will be 6(times)/7 total(times)
So the answer is 6/7.
E
Answer: (E) 6 to 7
Question: The simple form of the ratio 7/6:2/5 is?
(A) 10:6
(B) 10:3
(C) 15:3
(D) 25:3
(E) 35:12
Rationale: 7/6 : 2/5 = 35:12
ANSWER:E
Answer: (E) 35:12
Question: A bus can hold 60 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
(A) 6
(B) 5
(C) 3
(D) 2
(E) 12
Rationale: No. of seats = 60/12 = 5
There are 5 seats in each row
Answer : B
Answer: (B) 5
Question: If John invested $ 1 at 4 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be
(A) (1.5)^4
(B) (1.04)^5
(C) (1.05)^4
(D) 1 + (0.05)^4
(E) 1 + 4(0.05)
Rationale: In this prompt, the answer choices show that we don't actually have to calculate anything - we just need to 'format' the calculation correctly. We're told that the interest is COMPOUNDED ANNUALLY, so we need the Compound Interest Formula, with a Principal of $1, an R of 4% (which would 'translate' as .05) and a T of 5.We'd have....
B
Answer: (B) (1.04)^5
Question: Marco rode his dirt bike at 35 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 30mph, what was his average speed over the three hour portion of his ride?
(A) 14 mph
(B) 20 mph
(C) 70/3 mph
(D) 80/3 mph
(E) 34 mph
Rationale: Average speed for first two hours, S1 = 35 mph
Distance travelled in these two hours, D1 = 70 miles
Average speed for the entire 5 hour ride, S = 30 mph
Total Distance traveller in the entire 5 hour ride, D = 30 x 5 = 150 miles.
Hence, distance traveller in the latter 3 hour period, D2 = D - D1 = 150 - 70 = 80
Average speed for the latter 3 hour period S2 = D2/3 = 80/3
Hence, the correct answer is D
Answer: (D) 80/3 mph
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2574?
(A) 2277
(B) 2669
(C) 2200
(D) 2766
(E) 2600
Rationale: Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2574.
=> (90%) of (110%) of x = Rs. 2574.
=> (90/100)(110/100)x = 2574
=> x = (2574 * 100)/(9 * 11)
=> x = Rs. 2600
Answer: E
Answer: (E) 2600
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
(A) 5:18
(B) 5:71
(C) 5:19
(D) 5:17
(E) 5:16
Rationale: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.
a2 = 4096 = 212
a = (212)1/2 = 26 = 64
L = 2a and b = a - 24
b : l = a - 24 : 2a = 40 : 128 = 5 : 16
Answer: E
Answer: (E) 5:16
Question: Hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. If the total weight of two hammers and three wrenches is one-third that of 8 hammers and 4 wrenches, then the total weight of one wrench is how many times that of one hammer?
(A) 1/2
(B) 2/5
(C) 1
(D) 3/2
(E) 2
Rationale: x bé the weight of a hammer and y be the weight of a wrench.
(2x+3y)=1/3*(8x+4y)
3(2x+3y)=(8x+4y)
6x+9y=8x+4y
5y=2x
y=2x/5
Ans - B
Answer: (B) 2/5
Question: At a certain conference, 70% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks in
advance?
(A)  18.0%
(B)  62.0%
(C)  77.76%
(D)  80.0%
(E)  82.0%
Rationale: I do not think that Venn will be helpful here. A table will make more sense. But here is my approach.
70% regestered at least 2 weeks and paid full fee.
10% paid full fee and did not registered at least 2 weeks in advance. Then 90% paid full fee and registered at least 2 weeks before.
90% *X=70% where X is the number of people who registerd 2 weeks in advance and paid full fee.(ANSWER C)
Answer: (C)  77.76%
Question: A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1% cash on their first $5000 of purchase, 2% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.5% on their total annual charges made on the credit card, then what was the customer's annual charge?
(A) $24,000
(B) $26,000
(C) $28,000
(D) $30,000
(E) $32,000
Rationale: The customer receives $50 for the first $5000.
The customer receives $100 for the next $5000.
Let x be the total amount of the customer's annual charge.
$150 + 0.03(x-10,000)=0.025x
0.005x=150
x=30,000
The answer is D.
Answer: (D) $30,000
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day at 1 mile faster than 2nd day for same hours. How many miles in total did she walk?
(A) 63
(B) 44
(C) 58
(D) 60
(E) 62
Rationale: First day - 18 miles with 3 miles per hours then total - 6 hours for that day
Second day - 4 miles per hour and 5 hours - 20 miles
Third day - 5 miles per hour and 5 hours - 25 miles
Total 18+20+25 = 63
Answer: option A.
Answer: (A) 63
Question: A reduction of 10% in the price of oil enables a house wife to obtain 6kgs more for Rs.900, what is the reduced price for kg?
(A) 13
(B) 15
(C) 25
(D) 17
(E) 19
Rationale: 900*(10/100) = 90 ---- 6
? ---- 1 => Rs.15
Answer:B
Answer: (B) 15
Question: Given that x = 2^b – (8^31 + 16^5), which of the following values for b yields the lowest value for |x|?
(A) 91
(B) 92
(C) 93
(D) 94
(E) 113
Rationale: 8^31 + 16^5 = 2^93 + 2^20
Compared to 2^93, the value of 2^20 is negligible.
2^93 - (2^93 +2^20) will minimize the value of |x|.
The answer is C.
Answer: (C) 93
Question: In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ?
(A) Only 20% of the total members own three cars each.
(B) 48% of the total members own only one car each.
(C) 60% of the total members own at least two cars each.
(D) 80% of the total members own at least one car.
(E) None of these
Rationale: Let total number of members be 100,
Then, number of members owning only 2 cars = 20.
Number of members owning 3 cars = 40% of 80 = 32.
Number of members owning only 1 car = 100 - (20 + 32) = 48.
Thus, 48% of the total members own one car each.
ANSWER:B
Answer: (B) 48% of the total members own only one car each.
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
(A) Rs.1000
(B) Rs.1500
(C) Rs.2000
(D) Rs.3000
(E) Rs.3500
Rationale: (10*10)/100 = 1%loss
100 --- 99
? --- 1980 => Rs.2000
C)
Answer: (C) Rs.2000
Question: John was born 8 years after his father's marriage. His mother is 4 years younger than his father but 25 years older than John who is 15 years old. At what age did the father get married ?
(A) 18 years
(B) 20 years
(C) 22 years
(D) 24 years
(E) 21 years
Rationale: Explanation:
John's present age = 15 years.
His mother's present age = (25 + 15) years = 40 years.
His father's present age = (40+ 4) years = 44 years.
His father's age at the time of John's birth = (44 - 15) years = 29 years.
Therefore John's father's age at the time of marriage = (29 - 8) years = 21 years.
Answer: E
Answer: (E) 21 years
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
(A) 3.34
(B) 3.36
(C) 3.34
(D) 6.32
(E) 3.31
Rationale: Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m.Answer:A
Answer: (A) 3.34
Question: A person walks from one end to the other of a 100-meter long moving walkway at a constant rate in 50 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 150 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
(A) 63
(B) 66
(C) 69
(D) 72
(E) 75
Rationale: Let v be the speed of the person and let x be the speed of the walkway.
50(v+x)=100 then 150(v+x)=300
150(v-x)=100
When we add the two equations:
300v=400
v=4/3
time = 100 / (4/3) = 75 seconds
The answer is E.
Answer: (E) 75