MU-NLPC/Calc-aqua_rat huggingface dataset:
A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in Choices
A) 5 days	B) 6 days	C) 7.5 days	D) 8.5 days	E) 8 days

Solution: Explanation:   B's 5 days work = 1/10*5=1/2   Remaining work =1âˆ’1/2=1/2   A can finish work =15âˆ—1/2=7.5days   ANSWER IS 7.5 days
Answer: C
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:	Select
A) No profit, no loss B) 5% C) 8% D) 10% E) 12%

Solution: Explanation:   C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.   S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.   Gain =(80/1600 x 100\ )% = 5%. Answer: 5%
Answer: B
Excluding stoppages,the speed of the bus is 54kmph and
including stoppages,it is 9kmph. For how many minutes does the bus stop per hr
Select:
A) 12 min B) 11 min C) 13 min D) 20 min E) 50 min

Solution: Due to stoppages,it covers 45km less.   time taken to cover 45 km is [  45/54 *60= 
  45/54 *60 = 50
50min   Answer is 50 min.
Answer: E
I have only 1$ and 2$ note. I want to give 95$ to John. How many maximum number of 1$ note I need?	Choose the correct choice from the following answers
A) 53	B) 35	C) 47	D) 95	E) 62

Solution: To give 95$ we need of 95 1$ notes   so ans is 95
Answer: D
Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 3 players can be selected from each team? Choose the correct option.
A) 24563
B) 45784
C) 14525
D) 35658
E) 27225

Solution: Now from each group we have to select 5 persons only: 11C3 * 11C3= 165 * 165= 
165 * 165 = 27_225
27225   Total ways=27225 ways.   Answer 27225
Answer: E
There are 100 students in a certain geometry class. If one half of the students are boys and one fifth of the boys are under six feet tall, how many boys in the class are under six feet tall?	Pick.
A) 6	B) 10	C) 18	D) 24	E) 27

Solution: Total Students = 100   One half of the students are boys = 1/2*100= 
1/2*100 = 50
50   One fifth of the boys are under six feet tall= 1/5*50= 
1/5*50 = 10
10 ...   Therefore Number of boys in the class under six feet tall= 10 ... Answer B....   Alternatively... Number of boys in the class under six feet tall = 1/5 of 1/2 of Total Students = 1/5*1/2*100 = 10...   Answer 10
Answer: B
A company has 600 employees, 40% of whom are employed full time. If it hires 80 new employees, 15% of whom are employed part time, what will be the percent increase in part time employees?
Pick:
A) 1 2/3 %
B) 2 2/3 %
C) 4 %
D) 3.33 %
E) 9 %

Solution: Total employee = 600   Full time Empl = 600 * 40/100= 
600 * 40/100 = 240
240   Part time Emp= 600 - 240= 
600 - 240 = 360
360   New part time empl= 80 * (15/100)= 
80 * (15/100) = 12
12   Total new part time Emp= 12+360= 
12+360 = 372
372   Old part time Emp= 360   % increase = (new - old)*100/old   =12*100/360   = 3.33 %   Ans-3.33 %
Answer: D
Four friends are pooling their money for pizza. Emma has 8 dollars. Daya has 25% more money than Emma, Jeff has 2/5 of the money Daya has, and Brenda has 4 more dollars than Jeff. How much money does Brenda have?
Choose the most appropriate option.
A) 14 B) 6 C) 7 D) 8 E) 10

Solution: D   8   Emma has 8 dollars.   Daya has 25% more dollars than Emma.   Daya= 8 + 8 x 25%   = 8 + 8 x .25   =8 + 2= 
8 + 2 = 10
10   Jeff has 2/5 of what Daya has.= 10 x 2/5   = 4   Brenda has 4 more dollars than Jeff.   = 4 + 4= 
4 + 4 = 8
8   Brenda has 8 dollars.   The correct answer is 8.
Answer: D
If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.7 SDs from the mean?	Answers: A) 12.5 B) 13 C) 14 D) 11.8 E) 15

Solution: 2.7 SD's mean is equal to: +/- 2.7*3 = +/- 8.1   ie. 11.9 to 28.1   Answer is: 11.8
Answer: D
In a flower shop there were 8 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is  Choose the correct choice from the following answers
A) 12
B) 16
C) 8
D) 9
E) None of these

Solution: Answer   Now required average   = old average x Multiplicand   = 8 x 2 = 16   Correct Option: 16
Answer: B
If n is the greatest positive integer for which 2^n is a factor of 6!, then n =? Choose the correct option:
A) 2 B) 4 C) 6 D) 8 E) 10

Solution: 6! = 720   E. 2^10 = 512 (720/512) - this is not a factor of 6!   D. 2^8 = 256 (720/256) - this is not a factor of 6!   C. 2^6 = 64 (720/64) - this is not a factor of 6!   B. 2^4 = 16 (720/16) - this is a factor of 6!   4 is answer
Answer: B
For any numbers w and z, w#z = w^3z(8 - w^2). If both z and w#z are positive numbers, which of the following could be a value of w?  Choose the correct choice from the following options.
A) 9	B) 3	C) 0	D) −2	E) −9

Solution: Since w#Z and w are positive, we need to take the value of w such that w#z or w^3z(8 - w^2) is positive.   ANSW−9R:−9
Answer: E
Fresh fruit contains 55% water and dry fruit contains 10% water. How much dry fruit can be obtained from 100kg of fresh fruit?  Choices.
A) A)32kg	B) B)40kg	C) C)52kg	D) D)50kg	E) E)100kg

Solution: Quantity of pulp in 100kg of fresh fruits = (100-55)% of 100kg = 45kg   Let the quantity of dry fruit obtained be x kg   then, (100-10)% of x = 45   (90/100)*x = 45   x = 50   correct option is 50kg
Answer: D
Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Choose one:
A) 4.85
B) 7.85
C) 6.85
D) 5.85
E) 6.15

Solution: T = (111 + 165)/ (80 + 65) * 18/5   T = 6.85   ANSWER:6.85
Answer: C
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Select:
A) 288 B) 266 C) 120 D) 287 E) 212

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   Answer: 120
Answer: C
Gate A runs 3000 liters of water per minute out of a check dam that has a total volume of 360000 liters. Gate B drains a third of the dam in 6 hours.
Working together how long will it take both gates to drain the dam completely ? Choose the correct option.
A) 2 hours and 36 minutes
B) 1.5 hours
C) 9 hours and 12 minutes
D) 15 hours
E) 1 hour and 28 minutes.

Solution: Gate A has a rate of 300 liters per minute which equals a rate of 18,000 liters per hour.   Pipe B has a rate of 10,000 liters per hour.   10,000 + 18000 (A+B) = Together they have a rate of 28000 liters per hour.   36000 (The dam ) / 28000 = 36/28 = 1 Hour and 28 minutes   Answer -1 hour and 28 minutes.
Answer: E
How many real roots does the equation x^2y+16xy+60y=0 have if y < 0?  Choose one
A) 0  B) 1  C) 2  D) 3  E) Infinite

Solution: x^2y+16xy+60y=0   => y ( x^2 + 16x + 60) = 0   => y (x+8)^2 = 0   if y<0 , then x=-9   So although there are 2 factors , they are the same x=-9 .   The equations has 3 distinct real root .   Answer 3
Answer: D
A container contains a dry mixture of sand and stones. Mass of sand and stones in the container is in the ratio 1:3. If 12 kg sand is added to the container, the ratio of masses of sand and stones becomes 5:3. Originally, how much more was the mass of stones than sand in the container? Pick one:
A) 12
B) 9
C) 6
D) 3
E) 1

Solution: Suppose originally the mass of sand in the container was x. So the mass of stones, originally, would be 3x because mass of sand and stones in the container is in the ratio 1:3.   If 12 kg sand is added, mass of sand becomes x + 12, and the mass of stones remains unchanged. But now the ratio of the mass of sand and stones is 5:3.   This means,   (x + 12)/3x = 5/3, which gives x = 3.   So originally, there was 3 kg sand and 9 kg stones.   So, the mass of stones was 6 kg more than the mass of sand.   Ans 6
Answer: C
In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons?	Answers.
A) 17 B) 18 C) 20 D) 21 E) 30

Solution: 6p2 = 6 x 5 = 30   Answer : 30
Answer: E
A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 10.30 a.m.?
Choose the correct choice from the following options:
A) 5  B) 6  C) 7  D) 8  E) 12

Solution: Relative speed = Speed of A + Speed of B (? they walk in opposite directions)   = 2 + 3= 
2 + 3 = 5
5 rounds per hour=> They cross each other 5 times in 1 hour and 2 times in 1/2 hour   Time duration from 8 am to 10.30 am = 2.5 hour   Hence they cross each other 12 times before 10.30 am   Answer is 12
Answer: E
A person borrows Rs.5000 for 2 years at 5% p.a. simple interest. He immediately lends it to another person at 61⁄4% p.a for 2 years. Find his gain in the transaction per year. Choose the most appropriate option.
A) 62.5  B) 150  C) 225  D) 112.5  E) 212.5

Solution: Explanation :   The person borrows Rs. 5000 for 2 years at 5% p.a. simple interest   Simple interest that he needs to pay = PRT/100=5000×5×2/100=500   He also lends it at 6 1⁄4% p.a for 2 years   Simple interest that he gets = PRT/100=5000×25/4×2/100=625   His overall gain in 2 years = Rs.625 - Rs.500 = Rs.125   His overall gain in 1 year = 125/2 = Rs.62.5   62.5nswer : Option 62.5
Answer: A
A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If four, rather than five people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month? Pick one:
A) x/4  B) x/5  C) x/9  D) x/20  E) 4x/9

Solution: If 5 people share the rent, each person would pay x/5.   If 4 people share the rent, each person will pay x/4.   The extra amount each person pays is x/4 - x/5 = 5x/20 - 4x/20 = x/20   The answer is x/20.
Answer: D
The bankerâ€™s discount on Rs. 1600 at 8% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :  Pick.
A) 2 months
B) 4.5 months
C) 6.5 months
D) 7.5 months
E) None

Solution: Sol.   S.I. on Rs. 1600 = R.D. on Rs. 1680.   âˆ´ Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is S.I. on Rs. 1600 at 8%.   âˆ´ Time = [100 * 80 / 1600 * 8] year = 5/8 year = 7.5 months.   Answer 7.5 months
Answer: D
A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is? Choose the correct answer.
A) Rs.3600	B) Rs.3607	C) Rs.3627	D) Rs.3661	E) Rs.3628

Solution: X * (90/100) * (80/100) * (75/100) = 1944   X * 0.9 * 0.8 * 0.75   X = 1944/0.54= 
1944/0.54 = 3_600
3600   Rs.3600nswer:Rs.3600
Answer: A
At what time between 5.30 and 6 will the hands of a clock be at right angles?	Pick one.
A) 43*8/11 min past 5 B) 42*7/11 min past 5 C) 43*7/11 min past 5 D) 43*7/11 min past 7 E) 44*7/11 min past 5

Solution: Explanation:   At 5 o'clock, the hands are 25 min. spaces apart.   To be at right angles and that too between 5.30 and 6, the minute hand has to gain   (25 + 15)= 
  (25 + 15) = 40
40 min. spaces.   55 min. spaces are gained in 60 min.   40 min. spaces are gained in 60/55 * 40 min= 43*7/11 min   Required time 43*7/11 min past 5   Answer is 43*7/11 min past 5
Answer: C
there are 30 students in a classroom. The ratio of the # of girls to boys was 1:2, how many boys are there?	Choose one:
A) 10
B) 15
C) 20
D) 25
E) 30

Solution: # OF GIRLS = X   # OF BOYS =2X   X + 2X = 30   3X = 30   X = 30/3= 
30/3 = 10
10   BOYS= 2X = 2 * 10= 
2 * 10 = 20
20   ANSWER: 20
Answer: C
The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs.800 per sq. metre.	Choose the correct choice from the following answers.
A) Rs. 12000	B) Rs. 19500	C) Rs. 18000	D) Rs. 16500	E) Rs. 18090

Solution: Area =5.5×3.75 sq. metre.   Cost for 1 sq. metre. = Rs.800   Hence, total cost=5.5×3.75×800=5.5×3000   = Rs.16500 Answer: Option Rs. 16500
Answer: D
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of r customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
Choose the correct option.
A) (n - 1) r	B) (n-1)/r	C) n + r –1	D) r/(n-1)	E) n/(r-1)

Solution: B. (n - 1) / r
Answer: B
Set P is composed of nine numbers, labeled P1 through P9. Set Q is also composed of nine numbers, labeled Q1 through Q9. Set Q is defined as follows: Q1 = 1 + P1; Q2 = 2 + P2; and so on, including Q9 = 9 + P9. How much larger is the sum of set Q's mean and range than the sum of set P's mean and range?
Pick
A) 3	B) 6	C) 9	D) cannot be determined	E) 12

Solution: Yes, the correct answer is cannot be determined
Answer: D
From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a club and the second card is a red king?	Choices.
A) 1/13  B) 1/15  C) 1/26  D) 1/52  E) 1/104

Solution: P(club) = 1/4   P(red king) = 1/26   P(club then a red king) = 1/4 * 1/26 = 1/104   The answer is 1/104.
Answer: E
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?  Select the correct option:
A) 39 B) 27 C) 30 D) 26 E) 29

Solution: 20 + 24 + 8 * 2= 
20 + 24 + 8 * 2 = 60
60/2= 
60/2 = 30
30   Answer: 30
Answer: C
A polygon has 135 diagonals. How many sides does it have?
Self made  Choose the most appropriate option.
A) 12	B) 13	C) 18	D) 15	E) 16

Solution: The best way to solve this problem is to use the formula: An n sided polygon can have n*(n - 3)/2 diagonals   n*(n - 3)/2 = 135   n*(n - 3) = 270   Substitute n from the answer choices. n = 18   Answer: 18
Answer: C
The average age of a group of 10 students was 25. The average age increased by 3 years when two new students joined the group. What is the average age of the two new students who joined the group?  Choose one
A) 22 years	B) 30 years	C) 32 years	D) 43 years	E) None of these

Solution: The total age of 10 students with average 25 = 250   The total age of 12 students with average 28 = 336   The total age of 2 new students = 86   Their average =43   Correct Option 43 years
Answer: D
Find the invalid no.from the following series 15 46 63 71 75 77 78
Pick one.
A) 23 B) 46 C) 47 D) 76 E) 35

Solution: In this question, if you start from the beginning, firstly the difference is 31, then the difference is 17, then the difference is 8. So there is no logic. If you start backwards,you can see that firstly, 1 is added, then 2 is added, then 4 is added, then 8,16 and 32 should have been added. So you have got the right clue. So 15 + 32 the first number should be 47 and afterwards, the series becomes + 16, + 8, + 4and so on.   46
Answer: B
If m and n are negative integers, which of the following statements must be true?
I. (-m)^n is positive.
II. (-m)^(-n) is positive.
III. m^(-n) is positive. Select the correct option.
A) None	B) II only	C) I and II	D) I and III	E) I, II and III

Solution: Let's m = -2 and n = -3   I. (-m)^n = (2)^(-3) = 1/(2^3) --> Positive   II. (-m)^(-n) is positive. = 2^3 --> Positive   III. m^(-n) is positive. = -2^3 --> Negative   Answer: I and II
Answer: C
What is the greatest possible length which can be used to measure exactly the lengths 180 m, 500 m and 15m 20 cm? Pick:  A) 80 cm  B) 50 cm  C) 40 cm  D) 10 cm  E) 100 cm

Solution: Required length = HCF of 18000 cm, 50000 cm, 1520 cm = 80 cm   80 cmnswer is 80 cm
Answer: A
If the simple interest on a certain amount in at 4% rate 5 years amounted to Rs.2080 less than the principal. What was the principal? Choose the most appropriate option.
A) 1500 B) 2600 C) 2507 D) 3200 E) 11500

Solution: P - 2080 = (P*5*4)/100   P = 2600   Answer: 2600
Answer: B
A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 6 cups of tea are prepared, 3 in one way and 3 in other. Find the different possible ways of presenting these 6 cups to the expert. Choose the correct choice from the following:
A) 252	B) 240	C) 300	D) 720	E) None

Solution: Solution:   Since, there are 3 cups of each kind, prepared with milk or tea leaves added first, are identical hence, total number of different people ways of presenting the cups to the expert is,   [6!/(3!x 3!)]= 720   Answer: Option 720
Answer: D
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 17 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?	Choose the correct choice from the following choices:
A) 11
B) 444
C) 2881
D) 287
E) 456

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 17 + 21= 
17 + 21 = 38
38   T= 12   D = 38 * 12= 
38 * 12 = 456
456   Answer:456
Answer: E
One night 18 percent of the female officers on a police force were on duty. If 144 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?	Options:
A) 300
B) 400
C) 500
D) 600
E) 700

Solution: Let x be the number of female police officers on the police force.   The number of female police officers on duty was 72.   0.18x = 72   x = 400   The answer is 400.
Answer: B
If the sample interest on a sum of money 10% per annum for 2 years is $1200, find the compound interest on the same sum for the same period at the same rate? Choose the correct choice:
A) $1260
B) $1520
C) $1356
D) $1440
E) $1210

Solution: Rate = 10%   Time = 2years   S.I. = $1200   Principal = 100*1200/10*2 = $6000   Amount = 6000(1+10/100)^2 = $7260   C.I. = 7260-6000= 
7260-6000 = 1_260
$1260   $1260nswer is $1260
Answer: A
If a + b + c = 13, a2 + b2 + c2 = 69 then find the ab + bc + ca : Pick
A) 10  B) 30  C) 50  D) 70  E) 90

Solution: Explanation:   (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)   2(ab + bc + ca) = (a + b + c)2 - a2 + b2 + c2   2(ab+bc+ca) = 169 - 69= 
169 - 69 = 100
100.   (ab + bc + ca)= 50.   Answer: 50
Answer: C
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction w of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
Choose the correct choice from the following answers
A) 11/14
B) 13/18
C) 4/7
D) 3/7
E) 3/14

Solution: If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.   2/9 of the votes on a certain resolution have been counted--> 4 counted and  18-4= 
 18-4 = 14
14 votes left to be counted;   3/4 of those counted are in favor of the resolution--> 3 in favor and 1 against;   Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of   18*2/3= 
  18*2/3 = 12
12 people who voted against, so in the remaining 14 votes there should be   12-1= 
  12-1 = 11
11 people who voted against. Thus w=11/14 of the remaining votes must be against.   11/14nswer: 11/14.
Answer: A
Look at this series: 36, 34, 30, 28, ..., ... What numbers should come next?
Pick one:
A) 29,27 B) 32,30 C) 22,20 D) 24,22 E) 10,9

Solution: This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.   36-2= 
36-2 = 34
34   34-4= 
34-4 = 30
30   30-2= 
30-2 = 28
28   28-4= 
28-4 = 24
24   24-2= 
24-2 = 22
22   Answer is 24,22
Answer: D
Of three numbers, the third is thrice the second and the second is 5 times the first. If their average is 105, the smallest of the three numbers is:  Choose the most appropriate option
A) 18
B) 15
C) 20
D) 21
E) 22

Solution: Explanation:   Let first number be x.   So,2nd no. = 5x & 3rd no.=15x.   So,x+5x+15x=105× 3 = 234.   21x = 315   x = 315/21   Hence,smallest Number x=15.   Answer: 15
Answer: B
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000? Pick one
A) 81000 B) 33888 C) 77678 D) 200988 E) 228881

Solution: 64000* 9/8 * 9/8= 
64000* 9/8 * 9/8 = 81_000
81000   81000nswer: 81000
Answer: A
The average age of a group of n people is 14 years old. One more person aged 32 joins the group and the new average is 16 years old. What is the value of n?  Choose the correct answer:
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: 14n + 32 = 16(n+1)   2n = 16   n = 8   The answer is 8.
Answer: D
What should be added to 5021 so that it may become a perfect square?  Choose the correct choice from the following choices.
A) 20
B) 23
C) 26
D) 27
E) 29

Solution: 71x71=5041   5041-5021= 
5041-5021 = 20
20   If added to 20 get perfect square   answer=20
Answer: A
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (0, 1) and a radius of 2. Some points, such as the center (0, 1), are inside the circle, but a point such as (0, 3) is on the circle but not in the circle. How many lattice points are in circle C?	Select.
A) 9 B) 27 C) 2 D) 15 E) 7

Solution: The lattice points that are in the circle, that lie on the x and y axes, are (0, 1), (0, 2), (0, 0), (1, 1), and (-1, 1). The lattice points in the circle and not on the x and y axes are (-1, 0), (-1, 2), (1, 0), and (-1, 2).   There are a total of 9 lattice points in the circle.   9nswer: 9
Answer: A
If x percent of 400 is 20 percent of 700, then x =  Choose one:
A) 200
B) 350
C) 700
D) 400
E) 1,400

Solution: x/100(400) = 2/10(700)   x = 400.   Option 400.
Answer: D
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?  Pick.
A) 2  B) 1  C) 7  D) 6  E) 4

Solution: 1 women's 1 day work = 1/70   1 child's 1 day work = 1/140   (5 women + 10 children)'s 1 day work   = (5/10 + 10/140) = (1/14 + 1/14) = 1/7   5 women and 10 children will complete the work in 7 days.   Answer:7
Answer: C
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 90 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choose one:
A) 12 sec
B) 24 sec
C) 30 sec
D) 60 sec
E) 62 sec

Solution: Relative speed = 90 + 30= 
90 + 30 = 120
120 km/hr.   120 * 5/18= 100/3 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 3/100= 
1000 * 3/100 = 30
30 sec.   ANSWER:30 sec
Answer: C
In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-5, 1), (1, 1), (1, -4) and (-5, -4)?	Select the correct option:  A) 20  B) 30  C) 40  D) 55  E) 48

Solution: Length of side 1= 5+1= 
5+1 = 6
6   Length of side 2= 4+1= 
4+1 = 5
5   Area of rectangle= 6*5= 
6*5 = 30
30   30 is the answer
Answer: B
John buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.	Choices:	A) Rs. 6876.10	B) Rs. 4500	C) Rs. 4600	D) Rs. 3400	E) Rs. 7500

Solution: Rebate = 6% of Rs. 6650 = Rs. 6 x 6650 = Rs. 399.   100   Sales tax = 10% of Rs. (6650 - 399) = Rs. 10 x 6251   = Rs. 625.10   100   Final amount = Rs. (6251 + 625.10) = Rs. 6876.10   correct answer - Rs. 6876.10
Answer: A
If x is to be chosen at random from the set {1, 2, 3} 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 choice from the following: A) 1/6 B) 1/3 C) 1/2 D) 2/3 E) 5/6

Solution: Probably the best way to solve would be to use 1 - P(opposite event) = 1 - P(odd) = 1 - P(odd)*P(odd) = 1 - 2/4*2/3 = 8/12 = 5/6.   Answer: 5/6.
Answer: E