MU-NLPC/Calc-aqua_rat huggingface dataset:
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units? Pick.
A) 140 sq.units	B) 186 sq.units	C) 176 sq.units	D) 865 sq.units	E) 143 sq.units

Solution: Given that the area of the square = 1225 sq.units   => Side of square   = √1225 = 35 units   The radius of the circle   = side of the square   = 35 units Length of the rectangle   = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   140 sq.unitsrea of the rectangle   = lb = 14 * 10= 
14 * 10 = 140
140 sq.units   140 sq.unitsnswer:140 sq.units
Answer: A
Which of the following is a prime number ?  Options: A) 33 B) 81 C) 93 D) 97 E) 95

Solution: Explanation:   Clearly, 97 is a prime number.   ANSWER IS 97
Answer: D
A man buys an article for $10. and sells it for $30. Find the gain percent? Pick one
A) 25% B) 50% C) 20% D) 150% E) 300%

Solution: C.P. = $10   S.P. = $30   Gain = $20   Gain% = 20/10 *100 = 300%   Answer is 300%
Answer: E
The average age of 19 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is? Answers
A) 9	B) 71	C) 85	D) 92	E) 90

Solution: Age of the 15th student = 19*15 - (14*5+16*9) = 285-214= 
285-214 = 71
71 years   Answer is 71
Answer: B
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.  Answers.
A) 208 km  B) 637 km  C) 342 km  D) 300 kilometre  E) 543 km

Solution: Let the distance travelled be x km.   Total time = (x/2)/30 + (x/2)/25 = 11   => x/60 + x/50 = 11 => (5x + 6x)/300   = 11 => x = 300 km   Answer:300 kilometre
Answer: D
What is the probability of getting a sum of 12 when rolling 3 dice simultaneously?
Choose the correct choice from the following choices:
A) 10/216
B) 12/216
C) 21/216
D) 23/216
E) 25/216

Solution: Sum of 12 can be achieved in following ways   6,5,1---Total cases = 3! = 6   6,4,2---Total cases = 3!= 6   6,3,3---Total cases = 3!/2! = 3   5,5,2---Total cases = 3!/2! = 3   5,4,3---Total cases = 3! = 6   4,4,4---Total cases = 3!/3! = 1   Total cases 3 /3= 
3 /3 = 1
1   Total cases= 25   Probability = 25 * (1/6 * 1/6 * 1/6) = 25/216   ANSW25/216R:25/216
Answer: E
A sum of Rs.7000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.  Choose the correct answer:
A) A)282  B) B)4550  C) C)8383  D) D)8383  E) E)3284

Solution: Let A be the amount received at the end of the three years.   A = 7000[1 + 10/100][1 + 20/100][1 + 25/100]   A = 7000 * 1.65   A = Rs.11550   So the interest = 11550 - 7000 = Rs.4550   Answer: 4550
Answer: B
In how many ways can the letters of the word ASTERIX be arranged in a row so that the vowels appear in alphabetic order?  Choose the correct choice from the following choices
A) 800
B) 820
C) 880
D) 960
E) 840 eight hundred forty

Solution: three letters can be arranged in 3! ways.   only one combination AEI is required.   7 letters can be arranged in 7! ways.   thus 7!/ 3! * 1 = 840.
Answer: E
There are 3 numbers A, B and C. If A:B = 3/5, B:C = 5/4, C:D = 4/8, then A:D will be? Choose the most appropriate option:	A) 1 : 2	B) 3 : 5	C) 5 : 7	D) 6 : 11	E) 3:8

Solution: Sol. A : B = 3 : 5, B : C = 5 : 4, C : D = 4 : 8   ∴A∶B∶C∶D= 3 : 5:4 : 8   Thus, A : D = 3 : 8   3:8
Answer: E
If y exceeds x by 28%, then x is less than y by? Choose the correct choice from the following answers:
A) 16 2/8%	B) 16 8/3%	C) 21 7/8%	D) 76 2/3%	E) 17 2/3%

Solution: X=100	y=128   128------28   100-------? => 21 7/8%   Answer:21 7/8%
Answer: C
If 14 men do a work in 80 days, in how many days will 20 men do it?
Choose the correct choice from the following choices
A) 18 days	B) 38 days	C) 42 days	D) 48 days	E) 56 days

Solution: 14 * 80 = 20 * x   x = 56 days   ANSW56 daysR:56 days
Answer: E
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.1446 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Select the correct option
A) 32200  B) 41897  C) 58799  D) 60000  E) 62782

Solution: P(11/10)^4 - P(6/5)^2 = 1446   P = 60000   Answer: 60000
Answer: D
A soccer team played 160 games and won 65 percent of them. How many games did it win?  Choose the correct choice from the following answers:
A) 84
B) 94
C) 104
D) 114
E) 124

Solution: 65% of 160 =x   0.65*160= 
0.65*160 = 104
x   104=x   answer :104
Answer: C
If the numerator of a fraction be increased by 15% and its denominator be diminished by 8%, the value of the fraction is 15/16. Find the original fraction ?	Select the correct option.
A) 1/2	B) 3/5	C) 5/7	D) 9/11	E) 3/4

Solution: Let the original fraction be x/y   Then, 115% of x/92% of y = 15/16   115x/92y = 15/16   x/y = 3/4   Answer is 3/4
Answer: E
A driver goes on a trip of 50 kilometers, the first 25 kilometers at 66 kilometers per hour and the remaining distance at 33 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?  Choose the correct choice from the following options
A) 38  B) 40  C) 44  D) 45  E) 48

Solution: The time for the first part of the trip was 25/66 hours.   The time for the second part of the trip was 25/33 hours.   The total time fro the trip was 25/66 + 25/33 = 75/66 = 25/22 hours.   The average speed for the trip was   50 / (25/22)= 
  50 / (25/22) = 44
44 kph   The answer is 44.
Answer: C
The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 10, and k < m < r < s < t. If t is 20, what is the greatest possible value of the median of the 5 integers?  Choose the most appropriate option:
A) 16 B) 18 C) 13 D) 20 E) 22

Solution: We need to find the median which is the third value when the numbers are in increasing order. Since k<m<r<s<t, the median would be r.   The average of the positive integers is 10 which means that in effect, all numbers are equal to 10. If the largest number is 20, it is 10 more than 20. We need r to be maximum so k and m should be as small as possible to get the average of 10. Since all the numbers are positive integers, k and m cannot be less than 1 and 2 respectively. 1 is 9 less than 10 and 2 is 8 less than 10 which means k and m combined are 17 less than the average. 20 is already 10 more than 10 and hence we only have 17 - 10= 
17 - 10 = 7
7 extra to distribute between r and s. Since s must be greater than r, r can be  10+3= 
 10+3 = 13
13 and s can be   10+4= 
  10+4 = 14
14.   So r is 13.   Answer (13)
Answer: C
It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number R?
Choose the correct choice from the following answers.
A) a. 2^96 + 1  B) b. 2^16 - 1  C) c. 2^16 + 1  D) d. 7 * 2^33  E) e. 2^64 + 1

Solution: a³ + b³ =(a+b)(a² -ab +b²)   Now, let (2^32 + 1) be (a+b)   a³ + b³ = (2^96 + 1)   Now, as mentioned in formula above,   a³ + b³ is always divisible by (a+b)   So any factor of R=(a+b) is a factor of (a³ + b³)   Henca a. 2^96 + 1
Answer: A
If the product of 10 integers is negative, at most how many of the integers can be negative?
Choices
A) 2 B) 3 C) 4 D) 9 E) 6

Solution: The product of 10 integers is negative   Thus an odd number of integers need to be negative to have a negative product   We are asked at most how many are required.   So, the highest odd integer before 6,i.e. 9   Correct Option : 9
Answer: D
A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full, then the time that the leak will take to make it empty will be ?  Choose one:	A) 20 hours	B) 19 hours	C) 90 hours	D) 80 hours	E) None of these

Solution: Explanation:   Part filled without leak in 1 hour = 1/9   Part filled with leak in 1 hour = 1/10   Work done by leak in 1 hour   =1/9−1/10=1/90   We used subtraction as it is getting empty.   So total time to empty the cistern is 90 hours   Option 90 hours
Answer: C
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Pick:
A) 111.12 m B) 111.19 m C) 111.82 m D) 113.12 m E) 211.12 m

Solution: A runs 1000 m while B runs 900 m and C runs 800 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 800)/900 = 8000/9 = 888.88 m.   B can give C = 1000 - 888.88= 
1000 - 888.88 = 111.12
111.12 m.   111.12 mnswer:111.12 m
Answer: A
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 95 m is?  Pick.
A) 286 m	B) 899 m	C) 200 m	D) 205 m	E) 187 m

Solution: 2(l + 95) = 600 => l   = 205 m   Answer: 205 m
Answer: D
Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,800 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?  Answers
A) 38,000  B) 40,000  C) 42,500  D) 45,800  E) 48,500

Solution: Median is just the value in the middle when you arrange all values in the ascending order   In this question, the 7th value would be the median (Since there are 13 employees)   38, 40, 40, 40, 42.5, 42.5,45.8   So, answer is 45,800.
Answer: D
FOG + FOG + FOG + FOG = 1464.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
Choose the correct answer
A) 11	B) 12	C) 13	D) 14	E) 15

Solution: given,FOG + FOG + FOG + FOG = 1464   4(FOG)=1464   =>FOG=366   Face value of F is:3   Face value of O is:6   Face value of G is:6   so F+O+G=3+6+6= 
3+6+6 = 15
15   ANSW15R:15
Answer: E
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 3 inches wide on each side, the total area would have been (M + 64) square inches. What is the perimeter of the photograph, in inches?
Choose the correct choice:
A) 16
B) 24
C) 32
D) 40
E) 48

Solution: Let x and y be the width and length of the photograph.   (x+2)(y+2)=M and so (1) xy + 2x + 2y + 4 = M   (x+6)(y+6)=M and so (2) xy + 6x + 6y + 36 = M+64   Let's subtract equation (1) from equation (2).   4x + 4y + 32 = 64   2x + 2y = 16, which is the perimeter of the photograph.   The answer is 16.
Answer: A
How many seconds will a 500 m 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 the correct choice from the following choices
A) 65 sec B) 30 sec C) 87 sec D) 88 sec E) 55 sec

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 500 * 3/50= 
500 * 3/50 = 30
30 sec.   Answer: 30 sec
Answer: B
Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations X of project assignments are possible?
Choose the correct choice from the following answers:
A) 252
B) 1,680
C) 2,340
D) 362,880
E) 592,704

Solution: The ways to select three employees out of 9 for first project = 9C3   The ways to select three employees out of Remaining 6 for Second project = 6C3   Third Project already has the group of three to be assigned to it so need to select that   So total ways to assign 3 employees to each of 3 projects X= 9C3 * 6C3 * 1 = 1,680   Answer: Option 1,680
Answer: B
How many coins of 0.5 dollars each and 0.7 dollars each together make exactly 4.6 dollars?	Choose the correct answer.
A) 1,6  B) 2,7  C) 3,5  D) 4,3  E) 5,3

Solution: Straightaway use answer options ( Ignoring the decimal point ) -   (A)  1,6   1*5 + 6*7= 
1*5 + 6*7 = 47
> 47 ( Incorrect )   (B)  2,7   2*5 + 7*7= 
2*5 + 7*7 = 59
> 59 ( Incorrect )   (C)  3,5   3*5 + 5*7= 
3*5 + 5*7 = 50
> 50 ( Incorrect )   (D)  4,3   4*5 + 3*7= 
4*5 + 3*7 = 41
> 41 ( Incorrect )   (5,3)  5,3   5*5 + 3*7= 
5*5 + 3*7 = 46
> 46 ( Correct )   Hence answer will be (5,3)
Answer: E
An investment of d dollars at k percent simple annual interest yields $500 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $2,000 over a 4 year period? Select the correct option:
A) 2d	B) (3d)/4	C) (4d)/3	D) (3d)/2	E) (8d)/3

Solution: 500 dollars in 2 years means 250 dollars in 1 year.   To get 2000 dollars' it will take 8 years.   To get 2000 in 4 years, we need 8/4= 
8/4 = 2
2 times money. 2dnswer is 2d
Answer: A
The price of a jacket is reduced by 35%. During a special sale the price of the jacket is reduced another 10%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?  Choose the correct option:
A) 70.9
B) 75
C) 48
D) 65
E) 67.5

Solution: 1) Let the price of jacket initially be $100.   2) Then it is decreased by 35% , therefore bringing down the price to $65.   3) Again it is further discounted by 10%, therefore bringing down the price to $58.5   4) Now 58.5 has to be added byX %in order to equal the original price.   58.5 + ( X% ) 58.5 = 100.   Solving this eq for X, we get X = 70.9   70.9ns is 70.9.
Answer: A
(469 + 174)(power 2) - (469 - 174)(power 2) / (469 x 174) = ?	Answers:	A) 2	B) 6	C) 4	D) 8	E) 10

Solution: Formula = (a + b)(power 2) - (a - b)(power 2) / ab   = 4ab/ab   = 4 (where a = 469, b = 174.)   Answer is 8.
Answer: D
Yukou enjoys reading science-fiction. It is the New Year and he has made a resolution to read a book every week for this year. He has a collection of monster books and space travel books in the ratio of 4:5. He presently has 20 space travel books. How many more books (of each genre) does he need to buy to keep his resolution, without changing the ratio?
Choose the correct answer
A) 6 monster, 10 space	B) 8 monster, 10 space	C) 8 monster, 9 space	D) 4 monster, 10 space	E) 7 monster, 12 space

Solution: There are 52 weeks in a year. Youku has 20 space travel books, so 4:5 is 4/5:1 means (4/5)(20) = 16 monster books. So, he has   20 + 16= 
  20 + 16 = 36
36 books. Youku needs  52 - 36= 
 52 - 36 = 16
16 more books.   Keeping with the ratio of 4:5 and allowing for the fact that we can not have a fraction of a book, the minimum ratio that satisfies these restrictions is 8:10 giving 18 books, of which 8 are monster books and 10 space travel books.   Answer: 8 monster, 10 space
Answer: B
Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?  Choose the correct choice from the following answers:
A) 79  B) 28  C) 38  D) 27  E) 21

Solution: Assuming Sripad has scored the least marks in subject other than science,   Then the marks he could secure in other two are 58 each.   Since the average mark of all the 3 subject is 65.   i.e (58+58+x)/3 = 65   116 + x = 195   x = 79 marks.   Therefore, the maximum marks he can score in maths is 79.   79nswer: 79
Answer: A
How many odd 4-digit positive integers T that are multiples of 5 can be formed without using the digit 3?	Select the correct option: A) 648 B) 729 C) 900 D) 1296 E) 3240

Solution: I choose A.   Possible n° of 1st digit: 8 (0 can't be the first number, or else it wouldn't have 4 digits. 3 is exlcuded)   Possible n° of 2nd digit: 9 (3 is excluded)   Possible n° of 3rd digit: 9 (3 is excluded)   Possible n° of 4th digit: 1 (a number is a multiple of 5 if it ends in 5 or 0, here we are asked for the odd numbers, hence the last digit can't be 0)   So, T=8*9*9*1= 
8*9*9*1 = 648
648 (648)
Answer: A
In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different K sets can be produced by this process? Choose the correct choice from the following choices.
A) 41 B) 89 C) 125 D) 243 E) 512

Solution: Case 1: 1 used envelope => 1 way   Case 2: 2 used envelopes   - 4-1-0: Choose 4 from 5 cards: 5 ways   - 3-2-0: Choose 3 from 5 cards: 10 ways   Case 3: 41ll envelopes used   - 3-1-1: Choose 3 from 5 andno need to choose 1 from 2: 10 ways   - 2-2-1: Choose 2 from 5 and choose 2 from 3, but two groups are the same => (10X3):2 = 15   Total K: 1+5+10+10+15= 
1+5+10+10+15 = 41
41=> 41nswer: 41
Answer: A
A cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. The radius of the heap at the base is :	Options:  A) 63 cm  B) 53 cm  C) 56 cm  D) 66 cm  E) None of these

Solution: Volume of the bucket = volume of the sand emptied   Volume of sand = π(21)2 × 36   Let r be the radius of the conical heap.   Then, 1⁄3πr2 × 12 = π(21)2 × 36   or r2 = (21)2 × 9 or r = 21 × 3 = 63   63 cmnswer 63 cm
Answer: A
Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compunded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?  Choose one.
A) 333  B) 383  C) 402  D) 433  E) 483

Solution: Let the monthly payment be xx.   After the 1st month there will be 1,000∗1.1−x dollars left to repay;   After the 2nd month there will be (1,000∗1.1−x)∗1.1−x=1,210−2.1 x dollars left to repay;   After the 3rd month there should be 0 dollars left to repay: (1,210−2.1x)∗1.1−x=0--> 1331=3.31x--> x≈402x≈402   Answer: 402.
Answer: C
10x + 2y = -6
8x + y = 3
In the system of equations above, what is the value of x?	Choose the correct choice from the following choices:
A) -6 B) -4 C) -2 D) 2 E) 4

Solution: 10x + 2y = -6 can be written as 5x + y = -3   Let's subtract the second equation from this equation.   -3x = -6   x = 2   The answer is 2.
Answer: D
How many minutes are there in two right angles?	Choose the correct choice from the following answers.
A) 21 B) 22 C) 17 D) 2888 E) 2880

Solution: E   2880   They are the hour-minute, hour-second, and minute-second. Each hour, the minute hand will be at a right angle twice, so that's 48 right angles -- 2 for each hour of the day. 2880ach hour, the second hand will go around 60 times and have 2 right angles for each, that's 120 right angles per hour or   120 * 24= 
  120 * 24 = 2_880
2880
Answer: E
A cycle is bought for Rs.900 and sold for Rs.1150, find the gain percent? Choose the correct choice from the following options.
A) 15
B) 20
C) 27.77
D) 40
E) 12

Solution: 900 ---- 250   100 ---- ? => 27.77%   Answer: 27.77
Answer: C
If a man lost 4% 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 option
A) 1  B) 8  C) 9  D) 4  E) 3

Solution: 96% ---- 12   144% ---- ?     96/144 * 12= 
  96/144 * 12 = 8
8   Answer: 8
Answer: B
A rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug? Pick one:  A) A.3/16  B) 1/4  C) C.1/2  D) 25/32  E) 7/8

Solution: Area of the rectangular rug = 2*7= 
2*7 = 14
14   Fraction not covered by the rug= (Total Area - Rug area) / Total Area   = (64 - 14)/64   = 25/32=25/32
Answer: D
The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 20 terms of the sequence?
Pick:
A) 201/100
B) 99/100
C) 100/101
D) 1/10000
E) 20/21

Solution: Easy task and accomplish   X1=1-1/2   x2=1/2-1/3   x3=1/3-1/4   .....   x20=1/20-1/21   sum=X1+X2+X3+....X20=1-1/2+1/2-1/3+.......1/20-1/21=1-1/21=20/21   20/21 is the answer
Answer: E
A car consumes 210 liters of petrol weekly. For how many days will 1470 liters of petrol be sufficient? Choose the correct choice from the following:
A) 38	B) 20	C) 28	D) 49	E) 10

Solution: Explanation:   No explanation is available for this question!   ANSWER:49
Answer: D
A larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 343 smaller cubes and the surface area of the larger cube, in square inch?  Choose the correct choice from the following answers:
A) 54
B) 64
C) 81
D) 108
E) 1764

Solution: Volume of larger cube = 343 = 7^3   Side of larger cube = 7   Volume of smaller cube = 1 --> Side of smaller cube = 1   Surface area of larger cube = 6 * 7^2 = 294   Surface area of 27 smaller cubes = 343 * 6 * 1= 
343 * 6 * 1 = 2_058
2058   Difference= 2058 - 294= 
2058 - 294 = 1_764
1764   Answer: 1764
Answer: E
How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 3-percent solution? Choose one.
A) 35	B) 33 1/3	C) 27	D) 16 2/3	E) 19.5

Solution: How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 3-percent solution?   3% of a 50 liter solution is 1.5L. So you are trying to determine how many liters must a solution be for the 1.5L to represent 3% of the solution. Set up an inequality and solve for x:   1.5/x = 1/3   x = 4.5   Since you need a 15L solution, you must evaporate 19.5 of the original 50L solution to get a 3% solution.   Answer is 19.5.
Answer: E
If s and t are positive integers such that s/t = 84.15, which of the following could be the remainder when s is divided by t ?	Choose the correct choice from the following
A) 2 B) 4 C) 8 D) 20 E) 9

Solution: s/t= 84.15   s = 84.15t   s = (84 + 0.15)t   s = 84t + (15/100)t   s = 84t + (3/20)t   So remainder will be multiple of 3. The only multiple of 3 is 9.   Ans. 9
Answer: E
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?  Options.
A) 287	B) 240	C) 772	D) 211	E) 288

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m.   Answer: 240
Answer: B
Currently mangoes cost 60 cents/pound. Due to a disease affecting the mango trees it is expected that next month mangoes will cost 200% more than they do currently. How much are mangoes expected to cost next month?
Choose the correct choice from the following options.
A) 160 cents /pound B) 170 cents /pound C) 150 cents /pound D) 190 cents /pound E) 180 cents /pound

Solution: If a new cost is p percent greater than the old cost, then (new cost) = (old cost) + (p/100)(old cost).   In this case, (new cost) = 60 cents/pound + (200/100)(60 cents/pound)   = 60 cents/pound + 120 cents/pound   = 180 cents /pound   Answer : 180 cents /pound
Answer: E
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?  Answers
A) 7500
B) 7502
C) 2883
D) 2790
E) 2711

Solution: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3   B's share = 25000 * 3/10 = Rs. 7500.7500nswer: 7500
Answer: A
One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force? Choices:
A) 90 B) 180 C) 270 D) 500 E) 1,000

Solution: Let total number of female officers in the police force = F   Total number of officers on duty on that night = 180   Number of female officers on duty on that night = 180/2= 
180/2 = 90
90   (18/100)*F= 90   =>F = 500   Answer 500
Answer: D