MU-NLPC/Calc-aqua_rat huggingface dataset:
The weight of a glass of jar is 25% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
Choose one
A) 1/5	B) 1/3	C) 2/5	D) 1/2	E) 7/15

Solution: Let weight of jar filled with beans = 100 g   Weight of jar = 25 g   Weight of coffee beans = 75 g   Weight of jar and remaining beans = 60 g   Weight of remaining beans = 35 g   Fraction remaining = 35/75 = 7/15   Answer is 7/15.
Answer: E
A Taxi Company marks their tickets 30% more than the real price and allows 30% discount. Company's loss is:
Choose the correct option:
A) 6%
B) 7%
C) 8%
D) 9%
E) None of these

Solution: Let the CP = 100 Rs.   Mark Price = 130   9%iscount = 30%   Selling price=70/100 Ã— 130   Hence loss = 9%   Answer: 9%.
Answer: D
We have a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 144 inches and the width is 72 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?	Choices:	A) a 216	B) b 196	C) c 170	D) d 140	E) e 121

Solution: l = 144 /12= 
144 /12 = 12
12 ft   w= 72 / 12= 
72 / 12 = 6
6 ft   a 216rea of paper= 72   a 216rea of cube = 12 * side^2   side of cube = 6   V of cube = 216
Answer: A
A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?  Pick one: A) 23 years B) 22 years C) 21 years D) 20 years E) 30 years

Solution: Let present age of the son = x years   Then present age the man = (x + 24) years   Given that in 2 years man's age will be twice the age of his son   x = 22   ANSWER 22 years
Answer: B
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Select.
A) 31/115
B) 36/145
C) 1/214
D) 2/213
E) 3/271

Solution: The probability that first ball is white:   =12C130C1=12C130C1   =1230=1230   =25=25   Since, the ball is not replaced; hence the number of balls left in bag is 29.   Hence, the probability the second ball is black:   =18C129C1=18C129C1   =1829=1829   Required probability,   =(25)×(1829)=(25)×(1829)   =36/145   36/145
Answer: B
The sides of a cube measures 8cm. If the surface area of the cube is the same as a ball, what is the radius of the ball? Round to the nearest whole number.	Choose one
A) 3 B) 8 C) 7 D) 6 E) 5

Solution: First calculate the surface area of the cube. The cube is made of 6 squares with the sides measuring 8cm each. The surface area of 1 side of the cube is 64cm. Multiply the surface area of the 1 side by 6 will give you the cube's total surface area. The cubes total surface area is 384cm. Now we know that the surface area of the ball is 384cm. To find out the surface area of a sphere you need to square the radius, then multiply by Pi, and multiply by the number 4. Going backwards to find the radius - you will need to dived the surface area by 96. Then divide by Pi. Then determine the square root of the answer. The radius is 5.527. Rounding to the nearest whole number the radius is 6. The correct answer is (6).
Answer: D
A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 2km/hr. Total time of travel is 9 hours. What is the maximum distance he
can cover?  Choose the correct choice from the following answers
A) 20km	B) 40km	C) 60km	D) 80km	E) 90km

Solution: t=d/s, so   9=x/2*1/5+x/2*1/2(because half distance with 5 km/ph, and remaining half with 2km/hr)   9=x(18/40)   x=20km   20kmNSWER:20km
Answer: A
Think of a number, divide it by 4 and add 9 to it. The result is 15. What is the number thought of?
Choose one:
A) 24
B) 77
C) 297
D) 267
E) 29

Solution: 24NSWER: 24
Answer: A
Can you find the missing number in the sequence given below
11 19 27 12 20 ? 13 21 29 14 22 30	Choose the correct answer:
A) 21 B) 20 C) 28 D) 23 E) 24

Solution: Solution:   28   Explanation :   The sequence is given in the puzzle is :   11 19 27 12 20 ? 13 21 29 14 22 30   Let's break the given series as below:   11 19 27   12 20 ?   13 21 29   14 22 30   Now read the number from left hand side from top to bottom as :   So the number that will replace '?' is 28.   Answer 28
Answer: C
How many odd numbers between 10 and 1400 are the squares of integers? Choose the correct answer
A) 14 B) 17 C) 20 D) 23 E) 26

Solution: The numbers are the squares of 5, 7, 9,...,37 which includes 17 numbers.   The answer is 17.
Answer: B
Percentage of profit earned by selling a book for $1320 is equal to the percentage loss incurred by selling the same book for $880. What price should the book be sold to make 30% profit?	Select the correct option: A) $950 B) $1000 C) $1250 D) $1430 E) $1620

Solution: Let C.P. be Rs. x.   Then,(1320 - x)	x 100 =(x - 880)	x 100   1320 - x = x - 880   2x = 2200   x = 1100   Required S.P. = 130% of 1100 = 1.30	x 1100 = $1430   Answer : $1430
Answer: D
Two taps can separately fill a cistern 5 minutes and 7.5 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?  Choose the correct choice from the following answers:
A) 3.8
B) 3.7
C) 3.6
D) 3.9
E) 3.5

Solution: 1/5 + 1/7.5 - 1/x = 1/18   x = 3.6   Answer:3.6
Answer: C
When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ? Options
A) 7 years
B) 10 years
C) 14 years
D) 19 years
E) 20 years

Solution: Explanation:   When Rahul was born, his brother's age = 6 years; his father's age = (6 + 32)= 
(6 + 32) = 38
38 years, his mother's age= (38 - 3)= 
(38 - 3) = 35
35 years; his sister's age= (35 - 25)= 
(35 - 25) = 10
10 years.   Answer: Option 10 years
Answer: B
If n = 2ab, where a and b are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
Choose the correct choice from the following answers: A) Two B) Three C) Four D) Six E) Eight

Solution: Answer - 'C' - Four.   For a number 2ab with primes ab,there will be four even divisors - 2,2*a,2*b,2*a*b
Answer: C
A scooter costs 50,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
Choices.
A) 10,000 B) 12,500 C) 12,800 D) 12,000 E) 25,600

Solution: After first year, the value of the scooter = 40,000   After second year, the value of scooter = 32,000   After third year, the value of scooter = 25,600   Answer 25,600
Answer: E
In a recent election, Ms. Robbins received 4,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?  Choose the correct choice:  A) 0.06N + 4,000  B) 0.1N + 7,200  C) 0.4N + 7,200  D) 0.1N + 8,000  E) 0.06N + 8,000

Solution: total vote = N   vote cast by independent voters = 0.4 N   vote cast by registered voters = 0.6 N   vote received by Ms. Robbins = 4000 + 10% of vote be registered voters = 4000 + 0.06 N   0.06N + 4,000nswer choice 0.06N + 4,000
Answer: A
A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?  Select the correct option.
A) 3 B) 4 C) 6 D) 5 E) 7

Solution: Average speed = (2 * 3 * 2) / (3 + 2) = 12/5 km/hr.   Distance traveled = 12/5 * 5= 
12/5 * 5 = 12
12 km.   Distance between house and school= 12/2= 
12/2 = 6
6 km.   Answer:6
Answer: C
A bowl was filled with 10 ounces of water, and 0.004 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Select the correct option:
A) 0.004% B) 0.04% C) 0.40% D) 2% E) 40%

Solution: Total amount of water evaporated each day during a 50-day period = .004 * 50   =.004 * 100/2   = .4/2= 
.4/2 = 0.2
.2   percent of the original amount of water evaporated during this period= (.2/10) * 100= 
(.2/10) * 100 = 2
2 %   Answer 2%
Answer: D
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Pick:
A) 228  B) 277  C) 297  D) 450  E) 121

Solution: 10 * 150= 
10 * 150 = 1_500
1500   3 * 100 + 5 * 150= 
3 * 100 + 5 * 150 = 1_050
1050   1500 – 1050= 450.Answer: 450
Answer: D
The greatest number that divides 210, 1200 and 1450 and leaving remainder 6, 10 and 5 respectively is:  Choices.
A) 17  B) 18  C) 19  D) 21  E) 23

Solution: explanation:   210-6= 
210-6 = 204
204, 1200-10= 1190 and   1450-5= 
  1450-5 = 1_445
1445   the highest number that can divide 204, 1190 and 1445 is HCF of numbers.   HCF of 204, 1190,1445=17   17nswer:17
Answer: A
Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits A can does Grace have available during her trip? Choose the correct choice from the following answers
A) 2,520	B) 1,260	C) 620	D) 360	E) 120

Solution: The idea is to multiply the number of possibilities for each item of clothing with the different items. For the shirts you essentially choose 2 out of 8 so you should use the combination forumla (don't know how to use math symbols here).   This gives you A=5 x 3 x 28 x 3 = 1'260. Hence, solution 1,260 is correct.
Answer: B
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?	Choose the correct choice from the following answers
A) 1500
B) 2677
C) 1997
D) 2677
E) 1971

Solution: P = 15(100/10)2 => P = 1500   1500nswer: 1500
Answer: A
The positive value of x that satisfies the equation (3 + 2x)^5 = (1 + 3x)^4 is between
Bunuel, can you please explain this one? Choose the correct choice from the following answers:
A) 0 and 0.5
B) 0.5 and 1
C) 1 and 1.5
D) 1.5 and 2
E) 2 and 2.5

Solution: Trial and error would probably be the easiest way to solve this problem. When x is large enough positive number, then because of the exponents (5>4), LHS will be more than RHS (as you increase the positive value of x the distance between the values of LHS and RHS will increase).   Try x=1 --> LHS=3^5=81*3= 
81*3 = 243
243 and RHS=4^4=64*4= 
64*4 = 256
256, so (1 + 2x)^5 < (1 + 3x)^4. As you can see LHS is still slightly less than than RHS. So, the value of x for which (1 + 2x)^5= (1 + 3x)^4 is slightly more than 1.   Answer: 1.5 and 2.
Answer: D
If a certain sample of data has a mean of 15.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?	Choose the correct choice from the following.
A) (8.0; 16.5)	B) (8.5; 21.0)	C) (14.0; 26.5)	D) (16.5; 26.0)	E) (21.0; 26.5)

Solution: 2.5 standard deviation equals to 2.5*2= 
2.5*2 = 5
5;   2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 10 to 20.   The correct answer choice must cover all this range: only answer choice B does this.   Answer: (8.5; 21.0).
Answer: B
A circular well with a diameter of 4 metres , is dug to a depth of 14 metres. What is the volume of the earth dug out? Select the correct option:	A) 32 m3	B) 36 m3	C) 40 m3	D) 44 m3	E) 176 m3

Solution: Solution   Volume	= πr2h   ‹=› (22 /7 ×2×2×14)m3   ‹=›176 m3.   Answer 176 m3
Answer: E
A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 18 inches, how many inches of framing material does the carpenter need to frame the painting?	Select
A) 12 B) 22 1/2 C) 37 1/2 D) 50 E) 90

Solution: (18/2) ( 2+3) * 2 = 90=90
Answer: E
Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time, the third pipe alone can empty the cistern?  Choose the most appropriate option:
A) 90 min  B) 100 min  C) 110 min  D) 120 min  E) 130 min

Solution: 1/50-(1/60+1/75)=-1/100   third pipe can empty in 100 minutes   ANSWER:100 min
Answer: B
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?	Select the correct option
A) 7 1/2 sec
B) 7 1/7 sec
C) 7 8/2 sec
D) 7 1/9 sec
E) 7 2/2 sec

Solution: 70 + 50= 
70 + 50 = 120
120 * 5/18= 100/3 mps   7 1/9 sec = 150 + 100= 
150 + 100 = 250
250 m   T= 250 * 3/100 = 15/2 = 7 1/2 sec   Answer:7 1/9 sec
Answer: D
A, B and C rents a pasture for Rs.435. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay? Pick.
A) 135	B) 227	C) 268	D) 198	E) 176

Solution: 12*8 :16*9 = 18*6   8: 12: 9   9/29 * 435= 
9/29 * 435 = 135
135   135nswer:135
Answer: A
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 120 six-ounce servings of orange juice?  Choose the correct option.
A) 12	B) 15	C) 18	D) 21	E) 24

Solution: 1 X 12 ounce can of concentrate + 3 X 12 ounce cans of water = 48 ounces of the mixture.   48 ounces of mixture gives  (48 / 6 )= 
 (48 / 6 ) = 8
8 servings.   Thus 1 x 12 ounce can of concentrate is used to produce 8 servings of the mixture.   To make 120 servings of the mixture, we need 120 / 8= 
120 / 8 = 15
15 cans of the concentrate.   The answer is 15.
Answer: B
If M is the mean of x,y,z ; then what is the mean of x+5,y+5 and z+5	Choose the correct choice from the following choices
A) M  B) 3M  C) 10M  D) M+10  E) M+5

Solution: If each number is shifted up by 5, the mean also shifts up by 5 since it stays in the middle. The whole set is shifted on the number line so mean will also shift by the same amount.   So new mean is M + 5.   Answer (M+5)
Answer: E
The probability that a number selected at random from the first 50 natural numbers is a composite number is -. Choose the correct choice from the following:
A) 17/27  B) 17/25  C) 17/29  D) 17/98  E) 17/20

Solution: Explanation:   The number of exhaustive events = ⁵⁰C₁ = 50.   We have 15 primes from 1 to 50.   Number of favourable cases are 34.   Required probability = 34/50 = 17/25.   Answer: Option 17/25
Answer: B
If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other?  Answers
A) 1/33	B) 2/33	C) 1/3	D) 16/33	E) 11/12

Solution: Each couple can send only one "representative" to the committee. We can choose 4 couples (as there should be 4 members) to send only one "representatives" to the committee in C46C64 # of ways.   But these 4 chosen couples can send two persons (either husband or wife): 2∗2∗2∗2=242∗2∗2∗2=24.   So # of ways to choose 4 people out 6 married couples so that none of them would be married to each other is: C46∗24C64∗24.   Total # of ways to choose 4 people out of 12 is C412C124.   P=C46∗24C412=1633P=C64∗24C124=1633   Answer: 16/33.
Answer: D
If 12 men or 20 women can do a piece of work in 108 days, then in how many days can 9 men and 12 women together do the work?	Select the correct option:	A) 10 days	B) 30 days	C) 20 days	D) 80 days	E) 40 days

Solution: D   80 days   Given that 12m = 20w => 3m = 5w   9 men + 12 women = 15 women + 12 women = 27 women   20 women can do the work in 108 days. So, 27 women can do it in   (20 * 108) /27= 
  (20 * 108) /27 = 80
80 days.
Answer: D
In a deck of cards there are 48 cards numbered from 1 to 13. There are 8 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Choose the correct option
A) 1/4.	B) 4/17.	C) 5/29.	D) 4/13.	E) 1/3.

Solution: 8+12 tens/48+12 total cards=20/60=1/3   1/3.
Answer: E
When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 14?
Choose the correct answer
A) 7  B) 21  C) 34  D) 8  E) 55

Solution: So the number given is N = 143Q + 45   If this number is divided by 13, the remainder would be R[(143Q + 45)/13]   Since 143 is divisible by 13 , the product 143Q gives no remainder   This means the remainder of 45/13 should be the remainder of the entire number N   which is 6   To make it divisible by 13 , the smallest number that can be added = 14 - 6= 
14 - 6 = 8
8   Correct Option : 8
Answer: D
The average of 10 numbers is calculated as 5. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Pick.
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: 10 * 5 + 36 – 26 = 60/10= 
60/10 = 6
6   ANSW6R:6
Answer: E
On a ferry, there are 27 cars and 13 trucks. The cars have an average mass of 1100 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 40 vehicles on the ferry?	Pick
A) 1515.5	B) 1616.5	C) 1717.5	D) 1818.5	E) 1919.5

Solution: The total mass of the vehicles is 27*1100+13*3000= 
27*1100+13*3000 = 68_700
68700   The average mass is   68700/40= 
  68700/40 = 3_435/2 = around 1_717.5
1717.5   The answer is 1717.5.
Answer: C
A pump can fill a tank with a water in 2 hours. Because of a leak, it took 3 hours to fill the tank. The leak can drain all the water of the full tank in how many hours?	Choose one.
A) 2 B) 3 C) 4 D) 5 E) 6

Solution: The rate of the pump + leak = 1/3   1/2 - leak's rate = 1/3   leak's rate = 1/2 - 1/3 = 1/6   The leak will empty the tank in 6 hours.   The answer is 6.
Answer: E
Average of 10 two digit positive integer is Z. However, one number AB is taken as BA, then the average increases to Z+2.7. How many set of values for A and B are possible? Choose one: A) 5 B) 6 C) 7 D) 8 E) 9

Solution: Explanation :   Total such possible sets = (4,1), (5,2), (6,3), (7,4), (8,5) and (9,6).   (3,0) is not admissible as the numbers are of two digits.   Answer : 6
Answer: B
In a restaurant, the profit is 150% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit? Choose the correct choice from the following choices:
A) 30%  B) 55%  C) 90%  D) 100%  E) None of these

Solution: Explanation :   Let C.P.= Rs. 100. Then, Profit = Rs. 150, S.P. = Rs. 250.   New C.P. = 112% of Rs. 100 = Rs. 112   New S.P. = Rs. 250.   Profit = Rs. (250 - 112) = Rs. 138.   Required percentage = (138 /250 *100) % = 55 % appox   Answer : 55%
Answer: B
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?	Choose the correct choice from the following choices:
A) Rs.1200 B) Rs.890 C) Rs.600 D) Rs.1190 E) Rs.450

Solution: Explanation:   S.P. = 85% of Rs. 1400 = Rs.(85/100*1400)=Rs.1190   Answer:Rs.1190
Answer: D
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased? Choose the correct choice from the following answers.
A) 5/7  B) 2/7  C) 1/7  D) 3/7  E) 6/7

Solution: Let x be the the cost of the rental car   When 8 persons share equally, share of one person = x/8   When 1 person withdraws and other 7 persons share equally, share of one person = x/7   Increase in the share = x/7−x/8=x/56   Required fraction = (x/56)/(x/8)=1/7   Answer is 1/7.
Answer: C
A car gets 27 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 14 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?	Choose the correct choice from the following choices.
A) 120 B) 126 C) 132 D) 138 E) 144

Solution: Originally, the distance the car could go on a full tank was   14*27= 
  14*27 = 378
378 miles.   After it has been modified, the car can go  27/0.75= 
 27/0.75 = 36
36 miles per gallon.   On a full tank, the car can go  14*36= 
 14*36 = 504
504 miles, thus 126 miles more.   The answer is 126.
Answer: B
Find the roots of quadratic equation: 2x^2 + 5x + 2 = 0?
Choose one
A) -2, -1/2	B) 4, -1	C) 4, 1	D) -2, 5/2	E) 1, 5

Solution: Explanation:   2x^2 + 4x + x + 2 = 0   2x(x + 2) + 1(x + 2) = 0   (x + 2)(2x + 1) = 0 => x = -2, -1/2   -2, -1/2NSWER:-2, -1/2
Answer: A
Running 3/4th of his usual rate, a man is 8min late. Find his usual time in hours ?	Choose the correct choice from the following choices: A) 6/4 hrs B) 3/4 hrs C) 2/5 hrs D) 3/4 hrs E) 1/4 hrs

Solution: Explanation:   Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time   so 1/3rd of the usual time = 8min   or usual time = 3 x 8 = 24min = 24/60 hrs = 2/5 hrs.   Answer: 2/5 hrs
Answer: C
A certain truck uses 18 gallons of diesel fuel in traveling 230 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased? Choose the correct choice:
A) 8	B) 9	C) 12	D) 15	E) 27

Solution: There are two sets 18G1 gallons and 10G2 gallons details given.   18 gallons covering 230 miles   Then 1 G1 is used to cover 15 miles.   Now for 10 G2 covering 230 miles.   then 1 G2 is used to cover 23 miles.   There must   23 - 15= 
  23 - 15 = 8
8 miles per gallon increment is needed for 10 gallons to improve the mileage to cover 230 miles.   IMO 8 is correct answer.
Answer: A
An error 2% in excess ismade while measuring the side ofa square. The % of error in the calculated area of the square is?	Pick one:
A) 4.00%	B) 4.04%	C) 4.16%	D) 4.30%	E) 5%

Solution: 100 cm is read as 102 cm.   A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.   (A2 - A1) = [(102)2 - (100)2]   = (102 + 100) x (102 - 100)   = 404 cm2.   Percentage error = 404 x 100 % = 4.04%   100 x 100   4.04%
Answer: B
A train 260 m long passed a pole in 13 sec. How long will it take to pass a platform 740 m long?	Answers
A) 50 sec  B) 55 sec  C) 60 sec  D) 65 sec  E) 70 sec

Solution: Speed = 260/13= 
260/13 = 20
20 m/sec.   Required time= (260 + 740)/20= 
(260 + 740)/20 = 50
50 sec   50 secnswer:50 sec
Answer: A
A man's speed with the current is 22 km / hr and the speed of the current is 4 km / hr. The man's speed against the current is Options
A) 8.5 km / hr
B) 9 km / hr
C) 10 km / hr
D) 14 km / hr
E) None

Solution: Sol.   Man's rate in still in water = (22 - 4) km / hr = 18 km / hr.   Man's rate against the current = (18 - 4) km / hr = 14 km / hr.   Answer 14 km / hr
Answer: D
In a class of students, 2/3 of the number of girls is equal to 1/5 of the total number of students. What is the ratio of boys to girls in the class?	Choose the correct answer:
A) 1/3 B) 2/3 C) 4/3 D) 5/3 E) 7/3

Solution: (2/3)G=(1/5)(B+G)   10G=3B+3G   7G=3B   B/G=7/3.   The answer is 7/3.
Answer: E
10 men do a work in 10days. How many men are needed to finish the work in 5days?	Answers:
A) 50
B) 20
C) 30
D) 10
E) 15

Solution: men required to finish the work in 5days = 10*10/5= 
10*10/5 = 20
20   Answer is 20
Answer: B
What will be the HCF of ( 2 x 3 x 7 x 9 ), ( 2 x 3 x 9 x 11 ) and ( 2 x 3 x 4 x 5 )?
Choose the correct answer.
A) 2 x 3 x 7
B) 2 x 3 x 9
C) 2 x 3
D) 2 x 7 x 9 x 11
E) None

Solution: Answer   Given factors   2 x 3 x 7 x 9; 2 x 3 x 9 x 11; 2 x 3 x 4 x 5   ∴ Required H2 x 3F = Product of common prime factors having least powers = 2 x 3   2 x 3orrect Option: 2 x 3
Answer: C