MU-NLPC/Calc-aqua_rat huggingface dataset:
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choose the correct choice from the following options:
A) 65 Kmph B) 68 Kmph C) 19 Kmph D) 78 Kmph E) 98 Kmph

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer:68 Kmph
Answer: B
Which of the following must be subtracted from 2^120 so that the resulting integer will be a multiple of 3?
Answers
A) 8  B) 6  C) 3  D) 5  E) 1

Solution: {4^1} / 3 =4/3 remainder 1   {4^2} / 3 = 16/3 remainder 1   {4^3} / 3 = 64/3 remainder 1   {4^4} / 3 = 256/3 remainder 1   Actually the same remainder keeps repeating .....   Try with a diff no, say 2   {2^1}/3 = remainder 2   {2^2}/3 = remainder 1   {2^3}/3 = remainder 2   {2^4}/3 = remainder 1   Answer : 1
Answer: E
A room of 2m 40cm long and 4m 20cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor. Options.
A) 23 B) 25 C) 28 D) 60 E) 240

Solution: Explanation:   area of the room = 240* 420sq cm   size of largest square tile = H.C.F of 240cm and 420cm= 60cm   area of 1 tile = 60*60 sq cm   no. of tiles required = (240*420) / (60 * 60)= 
(240*420) / (60 * 60) = 28
28   Answer: 28) 28
Answer: C
Mr. Yutaro’s class contains 12 boys and 4 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?  Select:
A) 9/48 B) 9/20 C) 11/24 D) 2/15 E) 13/16

Solution: Probability of a girl being chosen first, then a girl:   4/16 * 12/15   Probability of a boy being chosen first, then a boy:   12/16 * 4/15   Probability of a boy and a girl being chosen:   (4*12+12*4) / (15*16)   =2/15   Answer:2/15
Answer: D
The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?  Choose the correct option:  A) 87 cm2  B) 28 cm2  C) 98 cm2  D) 26 cm2  E) 45 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle   = 2.5 * 36/2= 
2.5 * 36/2 = 45
45 cm2   Answer:45 cm2
Answer: E
For what value(s) of n is the following equation satisfied: 2n-6-5n = 5n+7-4n  Choose the correct choice:
A) a. -5/4
B) b. -13/4
C) c. 5/4 only
D) d. No value
E) e. Any value

Solution: 2n-6-5n = 5n+7-4n   -3n - 6 = n + 7   -13 = 4n,   n=13/4   Answer: b. -13/4.
Answer: B
8 men can dig a pit in 20 days. If a man works half as much again a s a boy, then 4 men and 9 boys can dig a similar pit in:
Choose the correct choice from the following answers:
A) 10 days B) 12 days C) 15 days D) 16 days E) 20 days

Solution: Explanation:   1 work done = 8 × 20   1 man = 3/2 Boys   1 boy = 2/3 men   Then, 9 boys = 9 × 2/3 men = 6 men   Then, 4 men + 9 boys = 10 men   Then, 8 × 20 = 10 × ?days   ? days = 8 × 20/10 = 16 days.   Answer: Option 16 days
Answer: D
One pump drains one-half of a pond in 5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?  Answers:	A) 1 hour	B) 1.1 hour	C) 3 hours	D) 5 hours	E) 6 hours

Solution: First pump drains 1/2 of the tank in 5 hours   so 10 hours it will take to drain the full tank.   Let, 2nd pump drains the full tank in a hours   so both together can drain (1/10+1/a) part in 1 hour   son in 1/2 hour they drain 1/2*(1/10+1/a) part of the tank   given that in 1/2 hour they drain 1/2 of the tank   hence we can say   1/2*(1/10+1/a) = 1/2   solving u get a = 10/9=1.1   Hence answer is 1.1 hour
Answer: B
The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 15 and 12. The larger of the two numbers is
Options
A) 476 B) 399 C) 450 D) 322 E) None

Solution: Solution   Clearly, the numbers are (30 x 15) and (30 x 12).   Larger number = (30 x 15)	= 450.   Answer 450
Answer: C
If a number is chosen at random from the set of first 20 natural numbers, The probability that it is either an even number or a prime number is?	Answers
A) 15/20
B) 8/20
C) 10/20
D) 17/20
E) 18/20

Solution: Explanation:   n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20   Answer is 17/20
Answer: D
If 22 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
Choose the correct choice from the following choices:
A) 125	B) 187	C) 231	D) 375	E) 460

Solution: If two lines are not parallel, then they will intersect in exactly one point. Lines can be extended infinitely on both ends so somewhere they will intersect with each other if they are not parallel. We are also given that no three lines are concurrent. This means that no three lines intersect at the same point. So every pair of two lines we select will have a unique point of intersection which they will not share with any third line.   The number of ways to select 2 lines from 22 lines is 222312 = 231   The answer is 231.
Answer: C
If p is a natural number and p! ends with f trailing zeros, then the number of zeros that (5p)! ends with will be
Choose the correct choice from the following options.
A) a) (p+f) trailing zeros
B) b) (5p+y) trailing zeros
C) c) (5p+5y) trailing zeros
D) d) (p+5y) trailing zeros
E) e) none of them above

Solution: Let p = 1. p! = 1! = 1, which means f= 0   (5p)! = 5! = 120, trailing zeros = 1   1 = 1 + 0 = p + f   a) (p+f) trailing zerosnswer (a) (p+f) trailing zeros).
Answer: A
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :	Choose the correct choice from the following options
A) 1/10
B) 8/15
C) 6/15
D) 1/15
E) none of the above

Solution: Ans is:8/15   A's 1 day's work =1/15   8/15's 1 day's work =1/20   (A + 8/15)'s 1 day's work =(1/15+1/20)=7/60   (A + 8/15)'s 4 day's work =(7/60*4)=7/15   Therefore, Remaining work =(1-7/15)=8/15
Answer: B
(4300731)-! = 2535618. Find value of !? Pick one.
A) 1213441	B) 2354546	C) 4354556	D) 2435454	E) 1765113

Solution: Let 4300731 - ! = 2535618   Then !, = 4300731 - 2535618= 
4300731 - 2535618 = 1_765_113
1765113   1765113
Answer: E
Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop? Choose one.
A) 26 minutes  B) 20 minutes  C) 17 minutes  D) 16 minutes  E) 18 minutes

Solution: Explanation:   Let the total distance to be covered is 84 kms.   Time taken to cover the distance without stoppage = 84/42= 
84/42 = 2
2 hrs   Time taken to cover the distance with stoppage= 84/28= 
84/28 = 3
3 hrs.   Thus, he takes 60 minutes to cover the same distance with stoppage.   Therefore, in 1 hour he stops for 20 minutes.   Answer: 20 minutes
Answer: B
Mrs. A. invested $45,000; part at 5%, and part at 8%. The total interest on the investment was $3,150. How much did she invest at each rate?	Choose the correct choice from the following choices.
A) x=$15,000, y =$30,000	B) x=$12,000, y =$24,000	C) x=$8,000, y =$16,000	D) x=$10,000, y =$20,000	E) x=$13,000, y =$26,000

Solution: I approached this question like a mixture problem.   I don't like the wordingpartat 5% andpartat 8% because we have variables x and y in the answer choices and I have no idea which one is x or y.   Anyway here's how I did it.   0.05(x) + 0.08(y) = 0.07(x+y)   0.01(y) = 0.02(x)   y = 2x   Note: 0.07(x+y) because $3,150 is 7% of 45,000   In which answer choice is y = 2(x)   x=$15,000, y =$30,000nswer x=$15,000, y =$30,000
Answer: A
Certain stocks in January were 40% less than they were in February and 15% greater than they were in March. What was the percentage decrease in the stocks from February to March?
Choose the most appropriate option:
A) 50.81%
B) 15.11%
C) 20.7%
D) 48.8%
E) 40%

Solution: Let stocks value in Feb = 100 => In Jan = 60 and March = 60 * 100/115 = 51.2%   Thus, percent decrease in stocks from Feb to March = 100 - 51.2= 
100 - 51.2 = 48.8
48.8%   Hence Answer is 48.8%
Answer: D
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was: Choose the most appropriate option:
A) Rs. 15100
B) Rs. 15200.
C) Rs. 15500
D) Rs. 15000.
E) Rs. 15300

Solution: Principal = Rs.	(100 x 5400/12 x 3)	= Rs. 15000.   Option Rs. 15000.
Answer: D
24 oz of juice P and 25 oz of juice V are mixed to make smothies R and Y . The ratio of p to V in smothie R is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie R?  Choose the correct option:  A) 5  B) 10  C) 15  D) 20  E) 25

Solution: The ratio of p to V in smothie R is 4 is to 1 and that in Y is 1is to 5. p1 + p2 = 24   v1 + v2 = 25   p1 = 4v1   p2 = v2/5   4v1 + v2/5 = 24   v1 + v2 = 25   4v2 - v2/5 = 76   19v2/5 = 76 => v2 = 20   => v1 = 5   => p1 = 20   Answer - 20
Answer: D
The cost of 4 bags and 12 purses is Rs.820, what is the cost of 10 bags and 30 purses? Select
A) Rs.2600	B) Rs.3500	C) Rs.2050	D) Rs.3900	E) None of these

Solution: Explanation:   Cost of 4 bags + 12 purses = Rs.820   Multiply each term by 5/2, we get,   Cost of 10 bags + 30 purses = Rs.2050.   Answer: Option Rs.2050
Answer: C
If the area of a circle decreases by 66%, then the radius of a circle decreases by
Choose the correct choice
A) 20%  B) 18%  C) 36%  D) 64%  E) None of these

Solution: If area of a circle decreased by x % then the radius of a circle decreases by   (100−10√100−x)%=(100−10√100−66)%   = (100−10√64)%   = 100 - 58= 
100 - 58 = 42
42%   Answer None of these
Answer: E
Find the probability that a number selected from numbers 1, 2, 3,..., 35 is a prime number, when each of the given numbers is equally likely to be selected?  Choose the correct choice from the following:
A) 10/35	B) 11/35	C) 8/35	D) 3/35	E) 7/35

Solution: Let X be the event of selecting a prime number.   X = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31}   n(X) = 11,   n(S) = 35   Hence, the required probability is 11/35.   ANSWER:11/35
Answer: B
Mr. Wayne bungee jumps from the top of a building straight to the ground at a constant speed. 3 seconds after he starts plummeting he passes the 20th floor. 15 seconds after he starts plummeting he passes the 5th floor. Each floor is 4.2 meters high. What is Mr. Wayne's speed in meters per second? Select:
A) 3 B) 3.75 C) 4 D) 5.25 E) 5

Solution: IMO: 5.25   15 Floors * 4.2 Meter/Floor = 63 Meters   Time= 12 sec   Rate * 12 = 63   Rate= 63/12= 
63/12 = 21/4 = around 5.25
5.25   Answer 5.25
Answer: D
If b<0, which of the following represents a positive number?
Choose the correct choice from the following choices: A) |b|b B) b/ |b| C) b|b| D) |b|/b E) -b|b|

Solution: Answer : -b|b|
Answer: E
What should come in place of the question mark (?) in the following number series?
11 19 29 41 55 ?
Choose the most appropriate option.
A) 69 B) 70 C) 71 D) 72 E) 73

Solution: The numbers increase by 8, 10, 12, 14,...   The next number should be   55+16= 
  55+16 = 71
71   The answer is 71.
Answer: C
A boy was asked to find 7/9 of a number. But he divided the number by 7/9, Thus he got 32 more than the correct answer. Find the number.	Choices:
A) 61
B) 63
C) 62
D) 54
E) 34

Solution: Explanation:   Let the number be x.   x/7/9 = 9x/7 = 32 + y   Actualy he should do 7x/9 = y   y = (9x/7) - 32   y = (9x - 224)/7   (9x - 224)/7 = 7x/9   81x - 2016 = 49x   81x - 49x = 2016   32x = 2016   x = 63   Answer: Option 63
Answer: B
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl? Select.
A) 1/2 B) 1/3 C) 1/7 D) 2/5 E) 2/7

Solution: Let b stand for boy and g for girl. The sample space of the experiment is   S = {(g, g), (g, b), (b, g), (b, b)}   Let E and F denote the following events :   E : ‘both the children are girls’   F : ‘at least one of the child is a girl’   Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}   Now E n F = {(g,g)}   Thus P(F) = 3/4   and P (E n F )= 1/4   Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3   1/3)
Answer: B
Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability T that the World Series will consist of fewer than 7 games?  Choose the correct choice from the following:  A) 12.5%  B) 25%  C) 31.25%  D) 68.75%  E) 75%

Solution: Your explanation is very close toManhattan GMAT's official answer - it's quite uncanny:   "There are many other ways this could happen. Using the permutation formula, there are 6!/(3!)(3!) = 20 ways for the two teams to split the first 6 games (3 wins for each).   There are then 2 possible outcomes to break the tie in Game 7. Thus, there are a total of 202 = 40 ways for the World Series to last the full 7 games.   The probability that any one of these 40 ways occurs can be calculated from the fact that the probability of a team winning a game equals the probability of a team losing a game = 1/2.   Given that 7 distinct events must happen in any 7 game series, and that each of these events has a probability of 1/2, the probability that any one particular 7 game series occurs is.   Since there are 40 possible different 7 game series, the probability that the World Series will last exactly 7 games is: (1/2)^7 = 1/128   40*1/128 = 40/128 = 31.25%   Thus the probability T that the World Series will last less than 7 games is 100% - 31.25% = 68.75%.   The correct answer is 68.75%." 100  - 31.25= 
 100  - 31.25 = 68.75
68.75%.   The correct answer is 68.75%."
Answer: D
Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 8 miles per hour, what is his average rate for the entire trip in miles per minute? Choose the correct choice from the following answers.
A) 1/7 B) 2/15 C) 3/15 D) 1/4 E) 3/8

Solution: Dan travels 4 miles round trip.   Running part: (2/10 = 1/5*60= 
1/5*60 = 12
12 minutes)   Swimming Part: (2/8= 1/4*60= 
1/4*60 = 15
15 minutes)   4 miles in (12+15) minutes   4/27= 1/7 mile per minute   1/7nswer: 1/7 mile per minute   1/7
Answer: A
The least number which when divided by 5,6,7 And 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is : Choose the correct choice from the following answers.
A) 1677  B) 1683  C) 2523  D) 3363  E) None of these

Solution: Solution   L.C.M. of 5, 6, 7, 8 = 840.   So, Required number is of the form 840 k + 3.   Least value of k for which (840 k + 3) is divisible by 9 is k = 2.   so, Required number = (840 × 2 + 3) = 1683. Answer 1683
Answer: B
A shopkeeper sold an article offering a discount of 4% and earned a profit of 38%. What would have been the percentage of profit earned if no discount was offered?
Pick one.
A) 24
B) 28
C) 30
D) 32
E) 44

Solution: Let C.P. be Rs. 100.   Then, S.P. = Rs. 138   Let marked price be Rs. x. Then, 96/100 x = 138   x = 13800/96 = Rs. 143.75   Now, S.P. = Rs. 143.75, C.P. = Rs. 100   Profit % = 44%.   ANSW44R:44
Answer: E
Ajay can ride 50km in 1 hour. In how many hours he can ride 500km?  Choose the correct choice.
A) 10hrs
B) 15hrs
C) 20hrs
D) 25hrs
E) 18hrs

Solution: 1 hour he ride 50km   he ride 500km in = 500/50 * 1= 
500/50 * 1 = 10
10hours   10hrsnswer is 10hrs
Answer: A
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is Choose the correct choice from the following options
A) 25
B) 27
C) 30
D) 35
E) 40

Solution: Sol.   Therefore excluded number   = (27 × 5) - ( 25 × 4)   = 135 – 100   = 35.   Answer 35
Answer: D
An oil cylinder was 3/4th full. When two bottles of oil is poured into it, it is 4/5th full. How many bottles of oil
can the full cylinder hold?
Choose one.
A) 20
B) 15
C) 40
D) 30
E) 35

Solution: (4/5 -3/4) cylinder is filled by 2 bottles     0.8 -0.75= 
  0.8 -0.75 = 0.05
0.05 cylinder is filled by 2 bottles   1 cylinder is filled by   2/0.05= 
  2/0.05 = 40
40 bottles   ANSWER:40
Answer: C
If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature to boil water at sea level altitude and to boil on top of Mt. Everest differed by 15 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?	Choose the correct option:
A) a) 65/9	B) b)7	C) c) 25	D) d) 45	E) e) 81

Solution: The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 15. The other answer choices are too far apart so no need to calculate.
Answer: B
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.2 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
Choose the correct choice from the following choices
A) a. 150  B) b. 300  C) c. 600  D) d. 120  E) e. 200

Solution: Volume Per Box: 15x12x10 = 1,800   Total Volume: 1,080,000   Number of Boxes: Total Volume / Volume Per Box = 1,080,000 / 1,800 = 600   Price Per Month: Number of Boxes * Price Per Box = 600 * 0.2= 
600 * 0.2 = 120
120   Answer: d. 120
Answer: D
You have been given a physical balance and 7 weights of 57, 55, 45, 44, 43, 41 and 85 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 199 kgs.	Answers:
A) 198 B) 195 C) 196 D) 197 E) 200

Solution: 85 + 55 + 57= 
85 + 55 + 57 = 197
197   Answer: 197
Answer: D
Look at this series: 2, 4, 6, 8, 10, ... What number should come next?	Choose the correct choice from the following choices.
A) 11 B) 12 C) 14 D) 15 E) 16

Solution: This is a simple addition series. Each number increases by 2.   ANSWER 12
Answer: B
I bought two books; for Rs. 480. I sold one at a gain of 10% and other at a gain of 20% and then I found each book was sold at the same price. Find the cost of the book sold at a lesser gain ?  Choose the correct option:  A) A)657  B) B)280  C) C)438  D) D)250  E) E)427

Solution: x*(110/100)   = (480 - x)120/100   x = 250.4   Answer: 250
Answer: D
How many integers between 1 and 10^19 are such that the sum of their digits is 2?  Select
A) 190
B) 210
C) 211
D) 230
E) 231

Solution: The integers with a sum of 2 are:   2, 20, 200,...,2*10^18 and there are 19 integers in this list.   Also, these integers have a sum of 2:   11   101, 110   1001, 1010, 1100   etc...   The number of integers in this list is 1 + 2 + ... + 18   Thus, the total number of integers is 1 + 2 + ... + 18 + 19 = 20*19/2= 
20*19/2 = 190
190   The answer is 190.
Answer: A
From the third term,each term in the sequence a(1),a(2),a(3),a(4),a(5),a(6) is the sum of the preceding two terms that is a(n)=a(n-1)+a(n-2) for n=3,4,5,6.if a(5)=36 what is the sum of all the six terms?	Choose the correct choice from the following answers: A) 142 B) 143 C) 144 D) 145 E) 146

Solution: If x is the first term and y is second terem, then   terms are   x   y   x+y   x+2y...... equal to 36   2x+3y   3x+5y   sum of 6 terms = 8x+12 y = 4*(2x+3y)= 4*36= 
4*36 = 144
144   ANSWER:144
Answer: C
If Henry were to add 4 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?  Answers:
A) 32  B) 40  C) 64  D) 80  E) 96

Solution: 7/8x-3/4x=4galls   1/8*x=4gallons   x=32 gallons   32nswer 32
Answer: A
70% of all students in a class commute by public transportation. If 10% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I.	10%
II.	25%
III.	80% Choose the correct choice from the following choices.
A) I ONLY  B) II ONLY  C) III ONLY  D) I AND II  E) II AND III

Solution: 70% Students use public transportation. This means 30% students do not use public transportation. 10% students aspire to be scientists means even if all these students use public transportation, minimum 30% - 10% = 20% students do not use public transportation and do not aspire to be scientists.This means correct answer is between 20% and 30%   Answer : II ONLY.30  - 10= 
30  - 10 = 20
20% students do not use public transportation and do not aspire to be scientists.This means correct answer is between 20% and 30%   Answer : II ONLY.
Answer: B
If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a club, or a red jack, or a red queen?	Choose the correct choice from the following answers
A) 19/26  B) 15/52  C) 17/52  D) 8/13  E) 5/13

Solution: There are 13 clubs and 2 red jacks and 2 red queens.   P(club or red jack or red queen) = 17/52   The answer is 17/52.
Answer: C
The average height of 20 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 131 cm. What was the actual average height of the students in the class?
Select
A) 174 cm B) 173 cm C) 172 cm D) 171 cm E) 170 cm

Solution: The total height was 20 cm too much.   The average height should be reduced by 20 cm/20 = 1 cm   The answer is 174 cm.
Answer: A
A camera lens filter kit containing 5 filters sells for $72.50. If the filters are purchased individually, 2 of them are priced at $12.45 each, 2 at $14.05 each, 1 at $11.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?  Pick one.
A) 10.03%
B) 11.03%
C) 12.03%
D) 13.03%
E) 11%

Solution: Cost of kit = $72.50   If filters are purchased individually - $12.45*2 + $14.05*2 + $11.50 = $64.50   Amount saved = $72.50 - $64.50 = $8   Required %age 72.50 -  64.50= 
72.50 -  64.50 = 8
$8   Required %age= ($8/$72.50)*100 = 11.03%   So, the correct answer is 11.03%.
Answer: B
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of the youngest child ?	Choose the most appropriate option.
A) 22
B) 18
C) 10
D) 99
E) 38

Solution: Let x = the youngest child. Each of the other four children will then be x+3, x+6, x+9, x+12.   We know that the sum of their ages is 50 .   so, x+(x+3)+(x+6)+(x+9)+(x+12) = 50   therefore The youngest child is 4 years old   Answer: 10
Answer: C
David has $2,400 at the beginning of his trip, after spending money, he still has exactly $800 less than he spent on the trip. How much money does John still have?  Choose the correct choice:
A) $200
B) $400
C) $600
D) $800
E) $1,200

Solution: Suppose total money spent = x   Not spend (Money he still has)= x-800   x+x-800 = 2400   x= 1600   Money not spend= 1600-800= 
1600-800 = 800
800   Answer : $800
Answer: D
An agent, gets a commission of 5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth	Answers.
A) 333
B) 500
C) 887
D) 250
E) 132

Solution: Explanation:   Let the total sale be Rs. x.   Then, 5%. of x = 12.50 <=> (5/100 * x) = 125/10 <=> x = 250.   Answer: 250
Answer: D
How many multiples of 5 are there between 10 and 100, exclusive ?  Pick.
A) 18 B) 17 C) 16 D) 15 E) 14

Solution: 5 * 2= 
5 * 2 = 10
10   5 * 20= 
5 * 20 = 100
100   Total multiples= (20-2) + 1= 
(20-2) + 1 = 19
19   Exclude 10 and 100= 19-2= 
19-2 = 17
17   Answer is 17
Answer: B
If a lies in the range (-2,1) then which of the following statements must be true?
Choose the correct choice:  A) a^4 >a^3 > a^2 > a  B) a > a^2 > a^3 > a^4  C) a^4 > a^2 > a^3 >a  D) a^2 > a^4 > a^3 >a  E) a^2 > a^4 > a > a^3

Solution: consider any number from the given range (-2-1)..let a=-1/2   then a^2= 1/4   a^3=-1/8   a^4=1/16   so we have a^2>a^4>a^3>a   Ans a^2 > a^4 > a^3 >a
Answer: D