MU-NLPC/Calc-aqua_rat huggingface dataset:
In how many ways can the letters of the word ABCdef be rearranged such that the lower case letters always appear together?	Choose the most appropriate option:
A) 196
B) 255
C) 299
D) 144
E) 169

Solution: ABCdef   def will come together as a group which can be arranged in 3!=6ways.   def,A,B,C can be arranged in 4!=24 ways.   total possible arrangements = 6*24= 
6*24 = 144
144ways   ANSWER:144
Answer: D
Positive Integer A gives the remainder of 9 when divided by another positive Integer B. If A/B = 47.45, what is the value of B? Pick one:
A) 96
B) 75
C) 48
D) 20
E) 12

Solution: I think the answer should be 25.   This is how i solved.   .45 of B = Remainder   .45 of B = 9   B = (9 *100) / 45= 
(9 *100) / 45 = 20
20.   20
Answer: D
If Mason is now twice as old as Gunther was 5 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 10 years from now?
Answers:
A) 3G+14	B) 3G+8	C) 3G+15	D) 3G+10	E) 3G+9

Solution: G is Gunther's current age.   Let Mason's current age be M.   given M = 2(G-5).   four years from now Mason's age will be = 2(G-5) + 10 = 2G   four years from now Gunther's age will be = G+10   Sum of ages of Mason and Gunther's after 4 years = 2G+G+10 = 3G+10   Ans : 3G+10
Answer: D
A sum of Rs. 1000 amounts to Rs. 1200 in 4 years at the rate of simple interest. What is the rate of interest?  Choose the correct choice
A) 7%
B) 9%
C) 5%
D) 6%
E) 2%

Solution: S.I. = (1200 - 1000) = Rs. 200\   Rate = (100 * 200) / (1000* 4)= 
(100 * 200) / (1000* 4) = 5
5%   Answer: 5%
Answer: C
If a(a - 6) = 7and b(b -6) = 7, where a ≠ b, then a + b =
Select the correct option.
A) −48 B) −2 C) 6 D) 9 E) 48

Solution: i.e. if a = -1 then b = 7   or if a = 7 then b = -1   But in each case a+b = -1+7= 
-1+7 = 6
6   Answer: option 6
Answer: C
Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 2, she will stop rolling the cube. What is the probability that Molly will roll the die less than 3 times before stopping?
Choose one:
A) 11/180  B) 11/36  C) 25/216  D) 91/216  E) 27/128

Solution: The probability that Molly will roll the die less than 4 times before stopping is the sum of the following:   The probability that Molly will roll the die once: P=1/6 (she gets 2 on the first roll);   The probability that Molly will roll the die twice: P=5/6*1/6 (not 2, 2);   P = 1/6 + 5/6*1/6 = 11/36   Answer: 11/36
Answer: B
On a Monday in a certain restaurant, 30 percent of the 180 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?  Choose the correct choice from the following choices.
A) 15% B) 16% C) 18% D) 22% E) 30%

Solution: 30% of 180= 54   10% of 120=12   Total =66   percent for 2 days combined =66/300=0.22. so it should be less than 0.22 so it is 22%   Answer:22%
Answer: D
Find large number from below question The difference of two numbers is 1015. On dividing the larger number by the smaller, we get 9 as quotient and the 15 as remainder	Choose the correct choice from the following choices:
A) 1209
B) 1324
C) 1245
D) 1140
E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1015).   x + 1015 = 9x + 15   8x = 1000   x = 125   Large number = 125+1015= 
125+1015 = 1_140
1140   Answer : 1140
Answer: D
Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is:
Answers.
A) Rs.2007	B) Rs.2000	C) Rs.2089	D) Rs.2067	E) Rs.2098

Solution: Let C.P. of each horse be Rs. x and C.P. of each cow be Rs. y.   Then, 4x + 9y = 13400 -- (i)   And, 10% of 4x + 20% of 9y = 1880   2/5 x + 9/5 y = 1880 => 2x + 9y = 9400 -- (ii)   Solving (i) and (ii), we get : x = 2000 and y = 600.   Cost price of each horse = Rs.2000.   Answer:Rs.2000
Answer: B
Three coins are tossed. Find the probability of at most 2 tails ?	Choose the correct choice from the following answers.
A) 1/2  B) 1/4  C) 2/3  D) 7/8  E) 3/8

Solution: n(s) = 2^3 = 8   let E is the event of getting at most 2 tails   n(E) = HHH, TTH , HTT, THT, HHT, HTH, THH = 7   P(E) = n(E) / n(s)   = 7/8   Ans- 7/8
Answer: D
A trader marked the selling price of an article at 40% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :  Select the correct option
A) 10 % B) 7.8 % C) 11 % D) 12.5 % E) None

Solution: Sol.   Let C.P. = Rs. 100. Then, Marked Price = Rs. 140, S.P. = Rs. 99.   ∴ Discount % = [11/140 * 100] % = 7.8%   Answer 7.8 %
Answer: B
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 30 percent. The price of the item on day 3 is what percentage of the sale price on day 1?	Pick one:  A) 28%  B) 63%  C) 64.8%  D) 70%  E) 72%

Solution: Let initial price be 1000   Price in day 1 after 10% discount = 900   Price in day 2 after 10% discount = 810   Price in day 3 after 30% discount = 567   So, Price in day 3 as percentage of the sale price on day 1 will be = 567/900*100= 
567/900*100 = 63
> 63%   Answer will definitely be (63%)
Answer: B
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Qâ€™s amount. At the end of the year 28% profit was earned which was equal to 98,000. What was the amount invested by R?  Choose the correct choice from the following
A) 2,10,000
B) 1,05,000
C) 75,000
D) Data inadequate
E) None of these

Solution: Ratio for amount invested by P, Q & R   = 5x Ã— 12 : 6x Ã— 12 : 6x Ã— 6   = 60x : 72x : 36x   = 5x : 6x : 3x   Profit = 98000 = 28% of T   where, T = Total amount   T = 350000   Amount received by   R = 3x /3x+6x+5x(350000)   = 75000   Answer 75,000
Answer: C
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $40 to incur a loss 20%?	Choose the correct answer:
A) 20 B) 36 C) 40 D) 50 E) 48

Solution: Production cost per article: $60*(100%-20%) / 20 = $2.40   Required production costs for a loss of 20%: $40*(100% + 20%) = $48   Number of articles to be sold for $48 to incur a 20% loss: $48 / $2.40 = 20   Thus, solution 20 is correct.48 /  2.40= 
48 /  2.40 = 20
20   Thus, solution 20 is correct.
Answer: A
If three people (A,B,C) want to raise $30000.00 capital to start a business as below: A raises half the amount of B and C raises 3 times the amount of A, how much A will raise?
Select
A) A - $5000
B) B - $5005
C) C - $5010
D) D - $5015
E) E - $5020

Solution: Let the capital raised by A is x, the capital raised by B is 2x and capital raised by C is 3x. Then, total amount raised by A - $5000, B, C is x+2x+3x = 6x = $30000.00 Hence x = $30000.00/6= 
30000.00/6 = 5_000
$5000.00 A - $5000nswer is A - $5000.
Answer: A
In a room filled with 6 people, all 6 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?	Choose the correct option
A) 3/5 B) 3/7 C) 4/7 D) 5/6 E) 7/12

Solution: The 6 people consist of two sets of 3 siblings.   The number of ways to choose 2 people is 6C2 = 15.   The number of ways to choose 2 from the first group of siblings is 3C2 = 3.   The number of ways to choose 2 from the second group of siblings is 3C2 = 3.   The number of ways to choose 2 people who are siblings is  3+3= 
 3+3 = 6
6.   The number of ways to choose 2 people who are not siblings is   15-6= 
  15-6 = 9
9.   P(the two people are not siblings)= 9/15 = 3/5   The answer is 3/5.
Answer: A
What is the sum of the greatest common factor and the lowest common multiple of 72 and 36?
Select:	A) 120	B) 150	C) 145	D) 108	E) 112

Solution: Prime factorization of 36 = 2 x 2 x 3 x 3   Prime factorization of 72 = 2 x 2 x 2 x 3 x 3   GCF = 36   LCM = 72   Sum = 108   Ans: 108
Answer: D
The timing of a college is from 12 p.m to 4.20 p.m. Six lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.	Answers.
A) 52 minutes B) 45 minutes C) 30 minutes D) 39 minutes E) 44 minutes

Solution: Explanation:   Total time a student spends in college = 4 hours 20 minutes = 260 minutes   As there are 6 lectures, the number of breaks between lectures is 5. Total time of the break = 25 minutes   Hence, the duration of each lecture is = (260 â€“ 25)/6   = 39 minutes   ANSWER 39 minutes
Answer: D
The length of the room is 10m and width is 20m. Find the cost of paving the floor by slabs at the rate of Rs.400 per sq meter?  Answers
A) 70000	B) 80000	C) 60000	D) 50000	E) 20000

Solution: l=10m w=20m   area of the floor = 10 x 20 = 200 sq m   cost of paving = 400 x 200= Rs. 80000   Answer: 80000
Answer: B
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a gain ?	Pick: A) A)657 B) B)200 C) C)438 D) D)290 E) E)427

Solution: x = price of a book sold at loss   x*(85/100)   = (480 - x)119/100   x = 280   Price of book sold at gain = 480 - 280= 
480 - 280 = 200
200   Answer:200
Answer: B
10% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 2907, how much was it in the beginning? Select the correct option
A) A)3800  B) B)4200  C) C)4400  D) D)4500  E) E)4600

Solution: X * (90/100) * (85/100) = 2907   X = 3800   3800NSWER:3800
Answer: A
Which of the following cannot be divided by 3 (the sum of 3 different prime numbers)?	Choose the correct choice from the following answers:  A) 10  B) 23  C) 14  D) 15  E) 19

Solution: Option A: 10 = 2+3+5. Sum of 3 different prime numbers.   Option B: 15 = 7+5+3. Sum of 3 different prime numbers   Option C: 24 = 19+3+2. Sum of 3 different prime numbers   Option D: 12 = this is not a sum of 3 different prime numbers.   Option E: 18 = 3 + 5 + 11. Sum of 3 different prime numbers   Since 24, 15, 12, 18 divided by 3   Correct Option: 10
Answer: A
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Choices:
A) 28888
B) 27789
C) 2777
D) 14000
E) 2881

Solution: 25*12: 30*12: 35*8   15:18:14   14/47 * 47000= 
14/47 * 47000 = 14_000
14000   Answer: 14000
Answer: D
In a stack of cards, 9 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 9/11. What is the number of cards in the stack?  Choices:
A) 10	B) 11	C) 12	D) 15	E) 18

Solution: This question can be solved by TESTing THE ANSWERS.   We're told that we have 9 blue cards and an unknown number of red cards. We're also told that if 2 cards are to be chosen at random from the stack WITHOUT replacement, then the probability that the cards chosen will BOTH be BLUE is 9/11. We're asked for the TOTAL number of cards.   Normally, when TESTing THE ANSWERS, we should start with either B or D. Answer B looks easier, so let's start there.   Answer A: 10 total cards   With 10 total cards, and 9 blue cards, the probability of pulling two blue cards is...   (9/10)(8/9) = 72/90~ 9/11   10
Answer: A
Mrs. Evans gave a test to her freshmen economics class, which has 50 students enrolled and 25 of them answered question 1 correctly. If 20 answered question 2 correctly and 20 did not take the test then how many answered both questions correctly? Select the correct option.
A) 23 B) 22 C) 21 D) 20 E) 19

Solution: Total number of enrolled students = 50   Number of students who did not take test = 20   Hence, number of students who took test = 50 - 20= 
50 - 20 = 30
30   Number of students who answered Q2 correctly=20, therefore, all students who took test answered Q2 correctly.   So, number of students who answered Q1 correctly, also answered Q2 correctly = 20.   Number of students who answered both Q1 & Q2 correctly = 20.   ANSWER:20
Answer: D
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/7 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?  Choose the correct choice from the following answers:
A) 11/30	B) 29/42	C) 17/30	D) 19/30	E) 11/15

Solution: Let s assume the platinum card spending limit =x   Gold card spending limit will be =x/2   balance on gold card is =x/2*1/3=x/6   Platinum card unspent limit is= x-1/7x=6/7x   So if gold card balance is transferred then the rest unspent will be   6/7x-x/6=29/42x   So the ans is 29/42
Answer: B
Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
Options:
A) 2 minute and 12 seconds. B) two minutes. C) 44 seconds. D) 20 seconds. E) 12 seconds.

Solution: Tom is running alone for 20 seconds.   So he will cover a distance of  20*2.5= 
 20*2.5 = 50
50 m in 20 seconds.   Basically, Jerry has not started yet , and Tom has covered the distance alone and met Jerry on the other side   20 seconds. is the answer
Answer: D
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
Choose the correct option:
A) 1/6  B) 1/3  C) 1/2  D) 2/3  E) 5/6

Solution: In order to make even nos. by multiplication,   we should have even * odd, odd * even or even * even   Total even nos. possible by multiplying nos. from the 2 sets:   (1*6);   2* any of the three from Set B;   3*6;&   4* any of the three from set B    1+3+1+3= 
 1+3+1+3 = 8
8   Total possibilities=4 * 3= 
4 * 3 = 12
12   P(event)=8/12 or 2/3   Ans 2/3
Answer: D
If a man buys 25 lollipops for $100 and sold them for $3 dollars determine his loss.
Select.
A) $ 50  B) $ 35  C) $ 52  D) $ 60  E) $ 25

Solution: Cost of 25 lollipops = $90   Sold each lollipop for $3   So he sold 25 lollipops for $(25 × 3) = $75   Loss = $(100 – 75) = $25   Therefore, loss = $ 25.   Answer:$ 25
Answer: E
4242 × 9999 = ? Choose the most appropriate option:
A) 42415758  B) 42415751  C) 42415752  D) 42415753  E) 42415754

Solution: 42415758   42415758   4242 × 9999 = 4242 × (10000 - 1)   = 4242 × 10000 - 4242 × 1   = 42420000 - 4242= 
42420000 - 4242 = 42_415_758
42415758
Answer: A
The number of livestock in a farm at the beginning of year 2000 was 120,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 120,000. Which of the following expressions is correct?
Choose the correct choice from the following answers:
A) p = q	B) q > p	C) p > q	D) With the exception of 1 instance, p will be equal to q	E) There is no relation between p and q

Solution: Number plugging in will be best strategy for this question.   Let p = 5%,   Per the question 100000(1.05)(1-q/100) = 100000 ---> q = 4.7%. Thus p > q and hence p > q is the correct answer.
Answer: C
A fellow borrowed a certain sum of money at 5% per annum at simple interest and in 5 years the interest amounted to Rs.750 less than the sum lent. What was the sum lent?
Choose the correct choice from the following answers:
A) 1000  B) 1220  C) 1250  D) 1060  E) 1110

Solution: P - 750 = (P*5*5)/100   P = 1000   1000nswer: 1000
Answer: A
Find the value of 3.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)] Choose one:
A) 800
B) 500
C) 2800
D) 1600
E) None

Solution: Answer   3.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]   = 3.5 x [(36 x 48 x 250) / (12 x 9 x 5)]   = 3.5 x 4 x 4 x 50 = 2800   2800orrect Option: 2800
Answer: C
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 3 characters in length. This year, it added the option of creating passwords having 4 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.	Options.
A) 63^4
B) 62^5
C) 62(62^4)
D) 63(62^4)
E) 63(62^3)

Solution: Total number of passwords = number of 3 character password +number of 4 character password   = 62^3 + 62^4 (Since there is no limitation on repetition , each character can be chosen in 62 ways )   =62^3(1+ 62)   =62^3 * 63   Answer 63(62^3)
Answer: E
If the length of a rectangle is increased by 20% and the breadth is reduced by 20%, what will be the effect on its area?  Choose the correct choice from the following:	A) 4% increase	B) 6% increase	C) 5% decrease	D) 4% decrease	E) None of these

Solution: Percentage change = x - y - xy⁄100   = 20 – 20 – 20×20/100=−4%=4%decrease   Answer 4% decrease
Answer: D
How many seconds will a 500 meter 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?	Choose one:  A) 65  B) 69  C) 30  D) 31  E) 32

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters   Answer: Option 30
Answer: C
Two trains 120 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?	Choose the correct answer:
A) 10.9
B) 10.7
C) 10.3
D) 10.08
E) 10.2

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 120 + 160= 
120 + 160 = 280
280 m.   Required time= 280 * 9/250 = 252/25= 
252/25 = 252/25 = around 10.08
10.08 sec.   'Answer: 10.08
Answer: D
A faucet, partially on, fills a bucket with water at a rate of r buckets per minute. If the faucet is turned up it will fill the same bucket at a rate r + 2 buckets per minute, and the same bucket would fill in 2/3 minute less. What is the value of r?	Choose the correct choice from the following answers:
A) 5	B) 4	C) 3	D) 2	E) 1

Solution: 1quation: 1/r = 1/(r + 2) + 2/3   Plug options into the equation:   1 fits:  1/1= 
 1/1 = 1
1/(1 + 2) + 2/3   Answer: 1
Answer: E
An automobile manufacturer offers a station wagon with either a 10-cylinder engine or a 8-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 10-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
Pick
A) 18  B) 24  C) 30  D) 34  E) 36

Solution: 10-cylinder engine wagons = 2*2*2*2= 
2*2*2*2 = 16
16(manual or automatic, with or without trailer);   8-cylinder engine wagons= 2*2*2= 
2*2*2 = 8
8(manual or automatic).   Total= 16 + 8= 
16 + 8 = 24
24.   Answer: 24.
Answer: B
What is the 124th digit to the right of the decimal point in the decimal form of 24/44?	Choose the correct choice from the following options
A) 8  B) 9  C) 6  D) 4  E) 2

Solution: To solve this question, we first have to use some long division. This long division allows us to get 24/44 in decimal form, which is 0.545454… where “54” is repeating.   We can see that the 1st, 3rd, 5th digit to the right of the decimal point is a 5 and that the 2nd, 4th, 6th digit to the right of the decimal point is a 4. In other words, each odd-positioned digit is a 5, and each even-positioned digit is a 4.   Then the 124 digit to the right of the decimal point and we see that 124 is even, we know that the 124th digit is a 4.   Answer 4.
Answer: D
Two pipes can fill a tank in 18 minutes and 6 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Select
A) 1/15	B) 1/6	C) 1/11	D) 1/10	E) 1/12

Solution: Part of the filled by all the three pipes in one minute   = 1/18 + 1/6 - 1/45 = 1/6   So, the tank becomes full in 6 minutes.   Answer:1/6
Answer: B
A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?	Choose the correct choice from the following answers: A) 33 B) 77 C) 24 D) 55 E) 71

Solution: 2c = ¼ + 1/6 – 1/3 = 1/12   c = 1/24 => 24 days   Answer:24
Answer: C
The average age of a group of 18 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?  Choose the correct choice from the following choices.
A) 22 years
B) 30 years
C) 40 years
D) 32 years
E) None of these

Solution: Answer   The average age of a group of 18 students is 20.   Therefore, the sum of the ages of all 18 of them = 18 * 20= 
18 * 20 = 360
360   When two new students join the group, the average age increases by 2. New average= 22.   Now, there are 20 students.   Therefore, the sum of the ages of all 20 of them = 20* 22= 
20* 22 = 440
440   Therefore, the sum of the ages of the two new students who joined= 440 - 360= 
440 - 360 = 80
80   And the average age of each of the two new students= 80/2= 
80/2 = 40
40 years.   Answer 40 years
Answer: C
A person spent Rs. 7,540 from his salary on food and 5,690 on house rent. After that he was left with 60% of his monthly salary. What is his monthly salary ?
Options:
A) 73,075  B) 34,075  C) 23,075  D) 33,075  E) 32,075

Solution: Total money spent on food and house rent = 7,540+5,690 = 13,230   Which is 100 - 60= 
100 - 60 = 40
40% of his monthly salary   ∴ His salary= 13230x100/40 = 33075   Answer : 33,075
Answer: D
The ratio between the length and the breadth of a rectangular park is 3 : 1. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is? Pick:
A) 124545 m	B) 134561 m	C) 156787 m	D) 15450 m	E) 120000 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 1x metres.   Then, 2(3x + 1x) = 1600 or x = 200.   Length = 600 m and Breadth = 200 m.   Area = (600 x 200) m2 = 120000 m   120000 m
Answer: E
A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :  Choose one
A) 8.5 km/hr
B) 8.5 km/hr
C) 10 km/hr
D) 12.5 km/hr
E) None of these

Solution: Solution   Man's rate in still water = (15-2.5) km/hr = 12.5 km/hr.   Man's rate against the current = (12.5-2.5) km/hr = 10 km/hr Answer 10 km/hr
Answer: C
22 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?	Pick one
A) 33  B) 32  C) 60  D) Data inadequate  E) None of these

Solution: Capacity of the tank = 22 Ã— 13.5= 297 litres   When the capacity of each bucket = 9 litres, then the required no. of buckets   = 297â„9 = 33   33nswer 33
Answer: A
Set A consists of all the prime numbers between 6 and 42. What is the range of set A?	Choose one:
A) 16
B) 34
C) 16.6
D) 17
E) 23

Solution: The range of a set of data is the difference between the highest and lowest values in the set   In this set,   Highest number = 41   Lowest number = 7   Range = Highest - Lowest = 41 - 7= 
41 - 7 = 34
34   Option 34
Answer: B
Excluding stoppages, the speed of a bus is 86 kmph and including stoppages, it is 76 kmph. For how many minutes does the bus stop per hour?
Pick one.
A) 7.5 min B) 16 min C) 20 min D) 7 min E) 40 min

Solution: D   7 min   Due to stoppages, it covers 10 km less.   Time taken to cover 10 km = (10/86 x 60) min = 7 min
Answer: D