MU-NLPC/Calc-aqua_rat huggingface dataset:
Pipe A can fill a tank in 8 hours, pipe B in 4 hours and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled?	Choose the correct choice.
A) 1.9 hour B) 2.1 hour C) 4.7 hour D) 2.4 hour E) 3.2 hour

Solution: Part filled by pipe A in 1 hour =1/8   Part filled by pipe B in 1 hour =1/4   Part filled by pipe C in 1 hour =1/24   Part filled by pipes A,B,C together in 1 hour=1/8+1/4+1/24=10/24   i.e, pipes A,B,C together can fill the tank in = 24/10= 
24/10 = 12/5 = around 2.4
2.4 hour.   ANSWER:2.4 hour
Answer: D
a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. a = 4b = 2c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.  Choose the most appropriate option.
A) 124
B) 297
C) 421
D) 412
E) 842

Solution: Ratio of a:b:c= 4:1:2   Two possible greatest single digit values for a are 8 and 4   if a is 8, then x= 824   if a is 4, then x= 412   difference= 824-412= 
824-412 = 412
412   412 is the answer
Answer: D
The average age of 3 girls is 18 years and their ages are in the proportion 1:2:3. The age of the youngest girl is? Choose the correct option:  A) 10 years  B) 9 years  C) 12 years  D) 14 years  E) 15 years

Solution: Total age of 3 boys = 18*3= 
18*3 = 54
54   ratio of their ages= 1:2:3   Age of the youngest = 54*1/6= 
54*1/6 = 9
9 years   Answer is 9 years
Answer: B
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction? Choose one:	A) 50 sec	B) 17 sec	C) 18 sec	D) 10 sec	E) 14 sec

Solution: The distance to be covered = Sum of their lengths   = 200 + 300= 
200 + 300 = 500
500 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s   = 500/10= 
500/10 = 50
50 sec.   50 secnswer: 50 sec
Answer: A
Find large number from below question The difference of two numbers is 100. On dividing the larger number by the smaller, we get 9 as quotient and the 4 as remainder	Choose the correct choice from the following answers:
A) 120  B) 100  C) 112  D) 150  E) 105

Solution: Let the smaller number be x. Then larger number = (x +100).   x +100 =9x + 4   8x = 96   x =12   Large number = 12+100= 
12+100 = 112
112   112
Answer: C
A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time he will be able to cover 8 km upstream ?
Choose the correct choice from the following answers
A) 3 hrs	B) 7 hrs	C) 9 hrs	D) 2 hrs	E) 6 hrs

Solution: Explanation:   Speed in downstream = 96/8= 
96/8 = 12
12 kmph   Speed of current= 4 km/hr   Speed of the boatman in still water = 12 â€“ 4 = 8 kmph   Speed in upstream = 8 â€“ 4 = 4 kmph   Time taken to cover 8 km upstream = 8/4= 
8/4 = 2
2 hours.   Answer: 2 hrs
Answer: D
A sum of money placed at CI doubles itself in 5 years. It will amount to 8 times in? Choose the correct choice from the following:
A) 17 years	B) 19 years	C) 14 years	D) 16 years	E) 15 years

Solution: 15 yearsxplanation:2------>5 years4------>10years8------>15 years15 yearsAnswer: Option 15 years
Answer: E
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?  Choose the correct choice from the following answers
A) 5:5 B) 5:8 C) 5:3 D) 5:2 E) 5:1

Solution: Let 40% of A = 2/3 B. Then,   40A/100 = 2B/3 => 2A/5 = 2B/3   A/B = (2/3 * 5/2) = 5/3   A:B = 5:3.   Answer: 5:3
Answer: C
In a garden, trees are planted in 4 rows. In each row there are 4 trees. If each tree bears as many fruits as the number of trees in each row and if the total number of fruits from the trees in that garden is n, then :	Choose the correct choice from the following options.
A) n is a perfect square
B) n is an odd number
C) n is an even number
D) n is a perfect cube
E) none

Solution: There are 4 rows in the garden, so there are 4 trees in each row and each tree bears 4 fruits. Then, the total number of fruits in the garden would be (4*4)*4= 
(4*4)*4 = 64
64, which is a cube of 4.   ANSWER:n is a perfect cube
Answer: D
A baker sold twice as much bread in the afternoon than in the morning. If he sold 360 kilograms of bread that day, how many kilograms did he sell in the morning and how many in the afternoon?  Choose one:
A) 180kg B) 240kg C) 470kg D) 641kg E) 559kg

Solution: Let x be the number of kilograms he sold in the morning.Then in the afternoon he sold 2x kilograms. So, the total is x+2x=3x.This must be equal to 360.   3x=360   x=3603   x=120   Therefore, the salesman sold 120 kg in the morning and 2⋅120=240 kg in the afternoon.   correct answer is 240kg)240kg
Answer: B
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Choose the correct choice from the following answers: A) 230 m B) 240 m C) 260 m D) 270 m E) None of these

Solution: Explanation:   Speed =[ 72 x (5/18) ]m/sec= 20 m/sec.   Time = 26 sec.   Let the length of the train be x metres.   Then,[ (x+250)/26 ]= 20   => x + 250 = 520   => x = 270. Answer: 270 m
Answer: D
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choose the correct choice.
A) 500 B) 550 C) 600 D) 650 E) 700

Solution: 70 = (P*4*7/2)/100   P = 500   500NSWER 500
Answer: A
If you are provided that
(78)^9 = 6
And (69)^4 = 11
What will be the result of (89)^2 = ? Choose the correct choice from the following choices:
A) 15	B) 16	C) 17	D) 18	E) 19

Solution: Solution:   7 + 8= 
7 + 8 = 15
15 and   15 - 9= 
  15 - 9 = 6
6   6 + 9= 
6 + 9 = 15
15 and   15 - 4= 
  15 - 4 = 11
11   Therefore, (89)^2 will be:   8 + 9= 
8 + 9 = 17
17 and   17 - 2= 
  17 - 2 = 15
15   15nswer 15
Answer: A
Raghu went to a shop and bought things worth Rs. 22, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?	Choose the correct choice from the following.
A) 16.7  B) 20  C) 22  D) 21.4  E) 21.5

Solution: Total cost of the items he purchased = Rs.22   Given that out of this Rs.22, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (22−30/100−x)6/100 = 30/100   ⇒ 6(22 −0.3 −x) = 30   ⇒ (22 − 0.3 − x) = 5   ⇒ x = 22 − 0.3 − 5 = 16.7   16.7
Answer: A
Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next? Pick.
A) 36  B) 27  C) 41  D) 19  E) 25

Solution: 25   25   In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.
Answer: E
If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station. Choose the correct choice from the following
A) 10 km
B) 8 km
C) 6 km
D) 4 km
E) 9 km

Solution: Let the required distance be x km   Difference in the time taken at two speeds=1 min =1/2 hr   Hence x/5-x/6=1/5<=>6x-5x=6   x=6   Hence, the required distance is 6 km   answer:Option 6 km
Answer: C
The difference between the place value and the face value of 8 in the numeral 856973 is Choose the most appropriate option
A) 973  B) 6973  C) 5994  D) 6084  E) None of these

Solution: (Place value of 8) - (Face value of 8) = (800000 - 8)= 
(800000 - 8) = 799_992
799992   Answer: Option None of these
Answer: E
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?  Choose the correct option.
A) 4:5	B) 4:3	C) 4:4	D) 4:9	E) 4:2

Solution: Let us name the trains A and B.   Then, (A's speed) : (4:3's speed)   = √b : √a = √16 : √9 = 4:3   Answer:4:3
Answer: B
A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is: Choose the correct choice from the following answers.
A) 4 mph
B) 2.5 mph
C) 3 mph
D) 2 mph
E) None of these

Solution: Explanation :   Speed of the boat in still water = 10 mph   Let speed of the stream be x mph   Then, speed downstream = (10+x) mph   speed upstream = (10-x) mph   Time taken to travel 36 miles upstream - Time taken to travel 36 miles downstream = 90/60 hours   =>36/(10−x) − 36/(10+x) = 3/2   =>12/(10−x) − 12/(10+x) = 1/2   =>24(10 + x) − 24(10 − x) = (10 + x)(10 − x)   =>240 + 24x − 240 + 24x = (100−x2)   =>48x = 100 − x2   =>x2 + 48x − 100 =0   =>(x+50)(x−2)=0   => x = -50 or 2. Answer : Option 2 mph
Answer: D
The present ages of three persons are in proportions 4:7:9. Seven years ago, the sum of their ages was 79. Find their present ages.	Choose the correct choice from the following choices:
A) 20, 28  B) 28, 36  C) 35, 45  D) 35, 55  E) of these

Solution: Let their present ages be 4x, 7x and 9x years respectively.   Then, (4x - 7) + (7x - 7) + (9x - 7) = 79   20x = 100 => x = 5   Their present ages are 20, 35 and 45 years respectively.   ANSWER:35, 45
Answer: C
A bag of blue and green colored marbles has 25% green marbles, with a total of 40 marbles. how many green marbles need to be added to bring their percentage in the bag up to 40%?
Answers:
A) 4
B) 8
C) 12
D) 10
E) 15

Solution: A bag of 40 marbles which is 25% green marbles means we have 10 green marbles. To get a bag that is 40% green marbles, let's use this expression: (10 + x)/(40 + x) = 0.4 with x representing the amount of green marbles that must be added to get to 40%. The expression thus represents the new number of green marbles over the total new number of marbles in the bag and this fraction should equal 40%. only ten marbles need to be added, as  20/50= 
 20/50 = 2/5 = around 0.4
0.4 or 40%   choose 10
Answer: D
John can complete a given task in 20 days. Jane will take only 10 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 5 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together? Pick one:
A) 8 B) 10 C) 12 D) 16 E) 20

Solution: In such questions, you need to start from the end. Last 5 days John works alone and completes 5 * (1/20) = 1/4 of the work.   So 3/4 of the work should have been completed by the two of them together before Jane left.   Their combined rate of work is 1/20 + 1/10 = 3/20   Time taken to complete 3/4 of the work = (3/4)/(3/20)= 
(3/4)/(3/20) = 5
5 days.   So total number of days taken to complete the work= 5 + 5= 
5 + 5 = 10
10 days.   10
Answer: B
By selling 90 pens, a trader gains the cost of 30 pens. Find his gain percentage?	Choose the most appropriate option
A) 33.3%  B) 32.3%  C) 31.3%  D) 30.3%  E) 29.3%

Solution: Let the CP of each pen be Rs. 1.   CP of 90 pens = Rs. 90   Profit = Cost of 30 pens = Rs. 30   Profit% = 30/90 * 100 = 33.3%   33.3%nswer:33.3%
Answer: A
In how many ways can 5 arts and 3 science students be arranged in a row so that the arts and the science students are placed alternately? Choose the correct choice from the following:  A) 2880  B) 1850  C) 326  D) 720  E) 360*120

Solution: The five art students can be arranged in those 5 A-slots in 5! = 120 ways.   The three science students can be arranged in those 3 S-slots in 3! = 6 ways.   Total arrangements = 120*6= 
120*6 = 720
720   Answer=(720)
Answer: D
What is the year next to 1990 which will have the same calendar as that of the year 1990?
Answers:
A) 1992
B) 2001
C) 1995
D) 1996
E) None of these

Solution: Explanation :   For a year to have the same calendar with 1990 ,total odd days from 1990 should be 0.   Take the year 1992 from the given choices.   Total odd days in the period 1990-1991= 2 normal years   ≡ 2 x 1 = 2 odd days   Take the year 1995 from the given choices.   Number of odd days in the period 1990-1994 = 4 normal years + 1 leap year   ≡ 4 x 1 + 1 x 2 = 6 odd days   Take the year 1996 from the given choices.   Number of odd days in the period 1990-1995= 5 normal years + 1 leap year   ≡ 5 x 1 + 1 x 2 = 7 odd days ≡ 0 odd days   (As we can reduce multiples of 7 from odd days which will not change anything)   Though number of odd days in the period 1990-1995 is 0, there is a catch here.   1990 is not a leap year whereas 1996 is a leap year.   Hence calendar for 1990 and 1996 will never be the same.   Take the year 2001 from the given choices.   Number of odd days in the period 1990-2000= 8 normal years + 3 leap years   ≡ 8 x 1 + 3 x 2 = 14 odd days ≡ 0 odd days   Also, both 1990 and 2001 are normal years.   Hence 1990 will have the same calendar as that of 2001   Answer : Option 2001
Answer: B
The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 11 consecutive integers that start with (m + 2)?
Choose the correct choice from the following options:  A) m + 4  B) n + 6  C) n + 3  D) n + 5  E) n + 4

Solution: The average of consecutive numbers is the middle number.   Then n = m+2.   The average of 11 consecutive numbers starting from n is n+5.   The answer is n + 5.
Answer: D
Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 40 days.	Choose the correct choice from the following answers:
A) 16 days.
B) 17 days.
C) 18 days.
D) 19 days.
E) 24 days.

Solution: They together completed 4/10 work in 4 days.   balance 6/10 work will be completed by Arun alone in   40*6/10= 
  40*6/10 = 24
24 days.   ANSW24 days.R:24 days.
Answer: E
A train 110 m long is running with a speed of 40 km/hr. In what time will it pass a man who is running at 5 km/hr in the direction opposite to that in which the train is going?	Choose the correct choice from the following choices: A) 5 B) 6 C) 7.5 D) 8.8 E) 9

Solution: Speed of train relative to man = 40 + 5= 
40 + 5 = 45
45 km/hr.= 45 * 5/18 = 25/2 m/sec.   Time taken to pass the men = 110 * 2/25= 
110 * 2/25 = 44/5 = around 8.8
8.8 sec.   Answer: Option 8.8
Answer: D
If a man lost 10% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choose the correct choice from the following answers:
A) 6.5 B) 7.5 C) 7 D) 8 E) 2

Solution: 90% ---- 12   144% ---- ?     90/144 * 12= 
  90/144 * 12 = 15/2 = around 7.5
7.50   Answer: 7.5
Answer: B
What is the probability that Abel and Bob will get selected for a job they both applied for in a company, given that their chances of getting selected is 1/5 and 2/3 respectively?  Choose the correct choice from the following choices
A) 2/15  B) 2/11  C) 2/17  D) 2/13  E) 2/19

Solution: Explanation:   P(2/15bel) = 1/5   P(Bob) = 2/3   E = {Jamie and Tom both get selected}   P(E) = P(2/15bel)*P(Bob)   = 1/5 * 2/3   = 2/15   2/15NSWER: 2/15
Answer: A
If the average of 10x and 8y is greater than 70, and x is twice y, what is the least integer value of x ? Choices
A) 12 B) 14 C) 16 D) 10 E) 20

Solution: Substitution can be used in the following way:   Always start with the equation: x = 2y. It is more straight forward to manage as compared to the inequality.   Substitute y = x/2, not the other way because you need to find the minimum value of x. So you can get rid of y.   Now go on to the inequality. So 8y = 8x/2 = 4x   Now average of 10x and 4x is greater than 70. Average of 10x and 4x is 7x. So,   7x > 70   x > 10   Answer : 108 /2= 
8 /2 = 4
4x   Now average of 10x and 4x is greater than 70. Average of 10x and 4x is 7x. So,   7x > 70   x > 10   Answer : 10
Answer: D
Gary had an average score of 70 on his first four quizzes. He had an
average score of 75 on his first five quizzes. What score did he receive on
his fifth quiz?  Select the correct option:
A) 90
B) 95
C) 65
D) 42
E) 43

Solution: The sum of Gary's first 4 scores is 4 Â· 70 and the sum of his first 5 scores is 5 Â· 75, so he received   5 Â· 75 âˆ’ 4 Â· 70 on his 5th quiz. You can do the arithmetic or note that the answer ends in a 5 and eliminate answer C because it is lower than the average. The correct answer is 95.
Answer: B
A is half good a work man as B and together they finish a job in 10 days. In how many days working alone B finish the job?  Pick:
A) 23
B) 22
C) 15
D) 36
E) 48

Solution: 15   15   W15 = 1:2   2x + x = 1/10 => x = 1/30   2x = 1/15 => 15 days
Answer: C
3x^2-6x+3 = 0 Find the above equation find the value of x
Options.
A) 0 B) 1 C) 2 D) 4 E) 6

Solution: a = 3, b = -6, c = 3   x1,2 = (6 ± √( (-6)2 - 4×3×3)) / (2×3) = (6 ± √(36-36)) / 6 = (6 ± 0) / 6   x1 = x2 = 1   1
Answer: B
Pipe A can fill a tank in 8 hours, pipe B in 10 hours and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled?
Pick:  A) 2  B) 2.5  C) 3  D) 4  E) None

Solution: Sol.   Part filled by (A + B + C) in 1 hour = (1/8 + 1/10 + 1/40) = 1/4.   âˆ´ All the three pipes together will fill the tank in 4 hours.   Answer 4
Answer: D
If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
Choose the most appropriate option
A) 331/3%  B) 332  C) 333  D) 335  E) 400

Solution: Explanation:   100   150   ------   150-------50   100-------? => 331/3%   331/3%)
Answer: A
Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on Monday. They were very happy. What day of the week would come on 14 Feb. 2010?	Choose the correct option:
A) monday B) tuesday C) sunday D) wednesday E) thursday

Solution: feb 14 2005 - monday   feb 14 2006 - tuesday   feb 14 2007 - wednesday   feb 14 2008 - thursday   feb 14 2009 - saturday [since 2008 is leap year , 2 days ll go forward]   feb 14 2010 - sunday   ANSWER:sunday
Answer: C
The average of first 20 natural numbers is?	Choose the correct choice from the following options
A) 10.6
B) 10.5
C) 10.9
D) 15.4
E) 15.1

Solution: Sum of 20 natural no. = 420/2= 
420/2 = 210
210   Average= 210/20= 
210/20 = 21/2 = around 10.5
10.5   Answer:10.5
Answer: B
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Answers
A) 200	B) 350	C) 270	D) 874	E) 125

Solution: Explanation:   The number of ways to select two men and three women = 5C2 * 6C3   = (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)= 
(5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2) = 200
200   200nswer: 200
Answer: A
The radius of a circle is increased by 1%. Find how much % does its area increases?	Select the correct option.
A) 2.06% B) 2.91% C) 9.01% D) 2.01% E) 3.01%

Solution: r = 100 r = 101   r2 = 10000 r2 = 10201   10000 ---- 201   100 ---- ? => 2.01%   Answer:2.01%
Answer: D
What is 120% of 13/24 of 720? Choose one:
A) 372
B) 434
C) 468
D) 512
E) 564

Solution: 120% * 13/24 * 360 = 1.2 * 13 * 30= 
1.2 * 13 * 30 = 468
468   The answer is 468.
Answer: C
In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 50 and a standard deviation of 12, which of the following is exactly 1.75 standard deviations more than the mean?  Select
A) a) 48	B) b) 60	C) c) 71	D) d) 77.5	E) e) 81

Solution: Standard Deviation is a relatively rare category in the Quant section, although you're like to be tested on it 1 time on Test Day. You'll never be asked to calculate SD though, so you really just need to learn the basic 'concepts' behind it.   Here, we're told two things about a group of numbers:   1) The average of the group is 50   2) The standard deviation of the group is 12   If you go 1 SDupfrom the average, you hit.....50+12 = 62   If you go 1 SDdownfrom the average, you hit.....50-12 = 38   If you go 2 SDsupfrom the average, you hit.....50+2(12) = 74   If you go 2 SDsdownfrom the average, you hit.....50-2(12) = 26   Etc.   Here, we're asked for the number that is EXACTLY 1.75 SDs above the mean....   1.75 SDsupwould be.....50 + 1.75(12) = 71   c) 71
Answer: C
A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/10000 that a person who randomly guesses the answer to each question will be a winner? Pick:	A) 5	B) 10	C) 50	D) 100	E) 1000

Solution: A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/1000 that a person who randomly guesses the answer to each question will be a winner?   A.5   B.10   C.50   D.100   E.1000   Soln: ans is B   Probability that one question is answered right is 1/2.   Now for minimum number of questions needed to take probability less than 1/1000 is   => (1/2)^n < 1/10000   n = 100 satisfies this.   100
Answer: D
A palindrome is a number that reads the same forward and backward. For example. 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits, 1, 2, 3, how many such palindromes are possible?	Answers.
A) 12 B) 15 C) 18 D) 24 E) 27

Solution: XYZYX   X can be 1, 2, or 3, thus 3 options.   Y can be 1, 2, or 3, thus 3 options.   Z can be 1, 2, or 3, thus 3 options.   Total 3^3=27.   Answer: 27.
Answer: E
A cylindrical container with 6 meters diameter and a height of 8 meters is filled to capacity with water. If the water is then used to fill several smaller cylinders (2 meters radius and 5 meters height), how many smaller cylinders can be filled to capacity before the larger cylinder becomes empty? Choose the correct option:	A) 5	B) 4	C) 3	D) 2	E) 1

Solution: Calculate the volume of the larger cylinder and divide it by the volume of the smaller cylinder.   volume of cylinder =πr2h   larger cylinder volume=226.19   smaller cylinder volume=62.83   therefore the number of smaller cylinders can be filled to capacity=226.19/62.83=3.6   Answer is 3 only 3 smaller cylinders can be filled to capacity.
Answer: C
A committee of three people is to be chosen from 5 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?	Choose the correct choice from the following options
A) 16	B) 24	C) 26	D) 80	E) 32

Solution: One of the approaches:   Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 3 couples (as there should be 3 members) out of 5 to send only onerepresentativesto the committee:5C3=10.   But each of these 3 couples can send two persons (husband or wife): 2*2*2=2^3=8.   Total # of ways: 5C3*2^3=80.   Answer: 80.
Answer: D
Calculate the distance covered by 350 revolutions of a wheel of radius 25.3 cm.  Choose the most appropriate option.
A) 558.6 m	B) 556.6 m	C) 516.6 m	D) 156.6 m	E) 256.6 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 350 resolutions.   =350 * 2 * 22/7 * 25.3= 
350 * 2 * 22/7 * 25.3 = 55_660
55660 cm= 556.6 m   ANSWER:556.6 m
Answer: B
Find the number of different prime factors of 12800 Pick one:
A) 4	B) 2	C) 3	D) 5	E) 6

Solution: Explanation:   L.C.M of 12800 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5   2, 5   Number of different prime factors is 2.   Answer: Option 2
Answer: B
If f(x)= 5x^2- 2x+6 and g(y)= 3y-3, then g(f(x)) Choose the correct answer
A) 82x^2-9x+38	B) 15x^2-6x+15	C) 58x^2-4x+58	D) 87x^2-5x+96	E) 98x^2-7x+94

Solution: g(f(x))=3(5x^2-2x+6)-3   =15x^2-6x+18-3   =15x^2-6x+15   the answer is 15x^2-6x+15
Answer: B