MU-NLPC/Calc-aqua_rat huggingface dataset:
Andy has 20 pairs of matched gloves. If he loses 16 individual gloves, which of the following is NOT a possible number of matched pairs he has left?  Choose the correct choice from the following choices:
A) 9	B) 11	C) 13	D) 14	E) 15

Solution: We can solve this is second. The question isSelect an answer choice where there is no possibility of having a number as a matched pair   Case1: If 16 gloves are gone the maximum probability of losing maximum gloves is 16 pairs of gloves out of 20. This means i m having 4 pairs of gloves. [Minimum number of gloves i can have is 4 pairs]   Case2: If 16 gloves are gone the maximum probability of losing minimum gloves is 16/2= 
16/2 = 8
8 means i can lose 8 glove. in this scenario i will be having 12 gloves.   Hence10 < Available Glove Pair < 13   any given time I cant possess 13 glove pair for the above mentioned scenario. And thats the answer. 13.
Answer: C
A 20% stock yielding 12% is quoted at:
Options:
A) Rs. 83.33  B) Rs. 167  C) Rs. 112  D) Rs. 120  E) Rs. 140

Solution: Income of Rs 12 on investment of Rs 100   Income of Rs 20 on investment of ?   = (20*100)/12=167   ANSWER:Rs. 167
Answer: B
[( 3.241 x 14 ) / 100] = ?	Choose one.
A) 0.045374
B) 4.5388
C) 453.88
D) 473.88
E) None of these

Solution: 0.045374nswer   Multiplying 3.241 x 14=4.5374   Now divide 4.5374 by 100   So, 4.5374 ÷ 100= 0.045374   ∴ Shift the decimal two places to the left as 100   Correct Option: 0.045374
Answer: A
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 36.
Pick one:
A) 5 B) 4 C) 12 D) 32 E) 35

Solution: First, let us say I have a number n which is divisible by 5 and by 7. We all agree that it will be divisible by 35, the LCM of 5 and 7.   Now, if I have a number n which when divided by 5 gives a remainder 1 and when divided by 7 gives a remainder 1, we can say the number is of the form   n = 5a + 1 e.g. 5 + 1, 10 + 1, 15 + 1, 20 + 1, 25 + 1, 30 + 1, 35 + 1 etc   and   n = 7b + 1 e.g. 7 + 1, 14 + 1, 21 + 1, 28 + 1, 35 + 1 etc   So when it is divided by the LCM, 35, it will give 1 as remainder (as is apparent above)   Next, if I have a number n which when divided by 5 gives a remainder 1 and when divided by 7 gives a remainder 3, we can say the number is of the form   n = 5a + 1   and   n = 7b + 3   Now, the only thing you should try to understand here is that when n is divided by 5 and if I say the remainder is 1, it is the same as saying the remainder is -4. e.g. When 6 is divided by 5, remainder is 1 because it is 1 more than a multiple of 5. I can also say it is 4 less than the next multiple of 5, can't I? 6 is one more than 5, but 4 less than 10.   Therefore, we can say n = 5x - 4 and n = 7y - 4 (A remainder of 3 when divided by 7 is the same as getting a remainder of -4)   Now this question is exactly like the question above. So when you divide n by 36, remainder will be -4 i.e. n will be 4 less than a multiple of 36. So you must add 5 to n to make it a multiple of 36   5
Answer: A
Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a three-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan? Options.
A) 1/5  B) 1/4  C) 1/3  D) 2/3  E) 2/5

Solution: The number of possible subcommittees with Cara is 6C2=15.   The number of possible subcommittees with Cara and Dan is 5C1=5.   The fraction of Cara's subcommittees which include Dan is 5/15=1/3.   The answer is 1/3.
Answer: C
Which of the following could be the sum of the reciprocals of two prime numbers? Choices:
A) 7/13
B) 11/12
C) 11/30
D) 23/50
E) 13/22

Solution: 13/22=(1/2) + (1/11)   Answer - 13/22
Answer: E
When a person aged 39 is added to a group of n people, the average age increases by 2. When a person aged 15 is added instead, the average age decreases by 1. What is the value of R?  Select:
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: A simple and elegant solution.   As addition of 39, shifts mean by 2, and addition of 15, shifts mean by 1 to the other side, we have the mean lying between 3915, and in a ratio of 2:1   39-15= 
39-15 = 24
24   24 divide by 3 is 8.   Meaning mean of the n terms is 15+8= 39-16= 
39-16 = 23
23   Now, from first statement, When a person aged 39 is added to a group of n people, the average age increases by 2.   R*23 +39= 25*(R+1)   R = 7   Ans. (7)
Answer: A
The ratio of the present age of Sandy to that of Molly is 7:2. Eight years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago?
Choose one:
A) 18
B) 24
C) 30
D) 36
E) 42

Solution: Let the present age of Sandy be 7x years and that of Molly be 2x years.   (7x + 8) / (2x + 8) = 5 / 2   4x = 24   x = 6   Six years ago, Sandy's age was 7(6) - 6 = 36   The answer is 36.
Answer: D
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 176 of the workers of that company are men, how many of the workers are women? Choose the correct choice:
A) 80  B) 95  C) 105  D) 120  E) 154

Solution: Set up equation:   x = total number of workers   176 = 0,4 * 2/3 * x + 0,8 * 1/3 * x   176 = 16/30 x   x = 330   330 - 176= 
330 - 176 = 154
154   Answer 154
Answer: E
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.	Choose the correct choice from the following choices:
A) 22	B) 27	C) 25	D) 99	E) 21

Solution: Let the number of students who wrote the exam be x.   Total marks of students = 80 x.   Total marks of (x - 5) students = 90(x - 5)   80x - (5 * 40) = 90(x - 5)   250 = 10x => x = 25.Answer: 25
Answer: C
What will be the cost of building a fence around a rectangle plot with area equal to 289 sq ft, and a = 1.7*b if the price per foot of building the fence is Rs. 58?  Choose one
A) A)Rs.3944
B) B)Rs.3948
C) C)Rs.3988
D) D)Rs.4082.65
E) E)Rs.3923

Solution: Let the side of the rectangle plot be a ft.   a*b = 289 =>1.7 b*b = 289   b = 13.03   a = 22.17   Length of the fence = Perimeter of the plot = 2(a+b) = 70.39 ft.   Cost of building the fence = 70.39 * 58 = Rs.4082.65   Answer: Rs.4082.65
Answer: D
Set S has a mean of 16 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?	Choose the correct choice from the following options
A) {2, 10}	B) {9, 11}	C) {16, 16}	D) {10, 18}	E) {7, 13}

Solution: answer A,B,D, and E mean is not 16 therefore not accepted . C mean is 16 but S.D is more. therefore accepted   answer is C mean is 16 and S.D decreases minimum.   {16, 16}
Answer: C
In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?	Choose the correct choice from the following options.
A) 50% decrease B) 30% decrease C) 15% decrease D) 30% increase E) 55% increase

Solution: September 1, 1992   The total number of construction workers = 1,000 (assume);   16% are unemployed, thus the number of unemployed workers = 160.   September 1, 1996   The total number of construction workers = 1,200 (20% greater);   9% are unemployed, thus the number of unemployed workers = 108.   Decrease is 52, which is approximately 30% of 160.   Answer: 30% decrease.
Answer: B
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?
Choose the correct choice
A) Rs. 7500  B) Rs. 9000  C) Rs. 9500  D) Rs. 10,000  E) None of these

Solution: Explanation:   A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3   B's share = 25000 * 3/10 = Rs. 7500.   Rs. 7500NSWER IS Rs. 7500
Answer: A
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Pick one
A) 33888 B) 24000 C) 27778 D) 27772 E) 81122

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6   Total profit = Rs. 52000   Share of B = 6/13 (52000) = Rs. 24000   Answer: 24000
Answer: B
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 4 different offices?	Choose the most appropriate option:
A) 16	B) 6	C) 7	D) 8	E) 9

Solution: Ans. Each employee can go into any of the two offices. Thus we have   => 4* 4= 
4* 4 = 16
16   16nswer : 16
Answer: A
The average of first five prime numbers greater than 37 is? Choose the correct option
A) 32.2 B) 32.98 C) 42.3 D) 48.6 E) 32.4

Solution: 41 + 43 + 47 + 53 + 59= 
41 + 43 + 47 + 53 + 59 = 243
243/5= 
243/5 = 243/5 = around 48.6
48.6   Answer: 48.6
Answer: D
If we write 1/7 as a decimal, what number holds the 50th digit's place to the right of the decimal?	Choose the correct choice from the following answers:	A) 7	B) 8	C) 2	D) 1	E) 4

Solution: Writing 1/7 as a decimal we get 1/7 = 0.142857142857... ( the "142857" repeats forever)   This is an infinitely repeating decimal with 6 digits repeating, and 50 = (6)(8) + 2, so 4 is the 50th digit.   Answer: 4
Answer: E
A rectangular box of volume x has width, depth and height in the ratio of 2:3:3 (in that order). What is the width as a function of x? Select the correct option
A) (2x/12)^(1/2)
B) (x/2)^(1/2)
C) (x/3)^(1/2)
D) (2x/9)^(1/2)
E) (x)^(1/2)

Solution: We are given width = 2, depth = 3, height = 3   Then Volume x = Width x Depth x Height = 2*3*3= 
2*3*3 = 18
18   i.e. x= 18   i.e. The correct option should result in 2 on substituting the value of x=18   Checking options with x=18   A) (2x/12)^(1/2) = (2*18/12)^(1/2) = 3^(1/2) INCORRECT ANSWER   B) (x/2)^(1/2) = (18/2)^(1/2) = 9^(1/2) = 3 INCORRECT ANSWER   C) (x/3)^(1/2) = (18/3)^(1/2) INCORRECT ANSWER   (2x/9)^(1/2)) (2x/9)^(1/2) = (2*18/9)^(1/2) = 4^(1/2) = 2 CORRECT ANSWER   E) (x)^(1/2) = (18)^(1/2) INCORRECT ANSWER   Answer: Option (2x/9)^(1/2)
Answer: D
What is the probability that a 4 person committee chosen at random from a group consisting of 6 men, 4 women, and 5 children contains exactly 1 woman?  Choose one: A) 44/91 B) 77/832 C) 11/77 D) 308/1411 E) 22/832

Solution: Total possible selections = 4 out of 15 group members = 15C4   Favorable selections = 1 out of 4 women and 3 out of 11 (= 6 men + 5 children) = 4C1 * 11C3   Thus the required probability = 4C1*11C3 / 15C4 = 44/91. Thus 44/91 is the correct answer.
Answer: A
A and B started a 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.26,000 earned at the end of 2 years from the starting of the business?  Choose the correct option:
A) Rs.7800	B) Rs.9000	C) Rs.9500	D) Rs.10,000	E) None

Solution: Solution   A : B : C	=(20000×24):(15000×24):(20000×18)   =4 :3 :3   B's share	=Rs.(26000×3/10)   = Rs.7800.   Rs.7800nswer Rs.7800
Answer: A
A certain box has 9 cards and each card has one of the integers from 1 to 9 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 9 cards? Choose the correct choice from the following answers:
A) 1/36 B) 1/15 C) 1/18 D) 1/9 E) 2/9

Solution: The average of the numbers is 5.   The total number of ways to choose 2 cards from 9 cards is 9C2 = 36.   The ways to choose 2 cards with a sum less than the average are: {1,2},{1,3}   The probability is 2/36 = 1/18   The answer is 1/18.
Answer: C
You collect pens. Suppose you start out with 20. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?	Choose one.
A) 39	B) 40	C) 65	D) 42	E) 43

Solution: Solution   Start with 20 pens.   Mike gives you 22 pens:  20 + 22= 
 20 + 22 = 42
42 pens.   Cindy doubles the number of pens you have: 42 Ã— 2= 84 pens.   Sharon takes 19 pens from you:  84 - 19= 
 84 - 19 = 65
65 pens.   So you have 65 at the end.   65orrect answer: 65
Answer: C
6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days M do they need to finish the same job? Select.
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: Let Rate of one worker be R   => (6*R)*8 = 1 (Rate * Time = work)   => R = 1/48   => Work remaining after 3 days   1 - (3*6)/48 = 30/48   3fter 4 ppl joined in   ((6+4)*Time)/48 = 30/48   Time M= 3 days to finish the task   IMO 3
Answer: A
For any 5 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
II. Dividing each of the numbers by 3 and then adding the results together.
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9. Pick one.
A) I only
B) II only
C) I and II only
D) II and III only
E) None of the above

Solution: Let the 3 numbers be x, y and z.   Question: Which of the following is equivalent to (x + y + z)/3   I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number. --> Not always equivalent Eg: 111 and 141   II. Dividing each of the numbers by 3 and then adding the results together. --> x/3 + y/3 + z/3 = (x + y + z)/3 --> Equivalent   III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9. --> (6x + 6y + 6z)/9 = 2(x + y + z)/3 --> Not equivalent   Answer: I and II only
Answer: C
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 400 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 5 units?
Choose the correct choice from the following choices: A) 40 sq.units B) 158 sq.units C) 187 sq.units D) 607 sq.units E) 815 sq.units

Solution: Given that the area of the square = 400 sq.units   => Side of square = √400= 20 units   The radius of the circle = side of the square = 20 units   Length of the rectangle = 2/5 * 20= 
2/5 * 20 = 8
8 units   Given that breadth= 5 units   40 sq.unitsrea of the rectangle = lb = 8 * 5= 
8 * 5 = 40
40 sq.units   40 sq.unitsnswer: 40 sq.units
Answer: A
200 college students were asked in a survey if they preferred Windows or Mac brand computers. 70 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 80 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers? Choose the correct choice from the following answers:	A) 25	B) 50	C) 57	D) 60	E) 75

Solution: 200 = 70(Mac) + x(Window) + 80(both) => x=50   ANSWER:50
Answer: B
I bought two books; for Rs.300. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choose the correct choice from the following answers:
A) 175  B) 280  C) 189  D) 278  E) 268

Solution: x*(85/100)   = (300 - x)119/100   x = 175   175nswer: 175
Answer: A
If the simple interest on a sum of money for 5 years at 9% per annum is Rs. 800, what is the compound interest on the same sum at the rate and for the same time? Choices:
A) Rs. 947.55  B) Rs. 957.55  C) Rs. 857.55  D) Rs. 657.55  E) Rs. 357.55

Solution: Sum = (800 * 100) / (5 * 9) = Rs. 1,777.78   C.I. on Rs. Rs. 1,777.78 for 5 years at 9% = Rs. 2,735.33.   = Rs. 2,735.33 - 1,777.78 = Rs. 957.55   ANSWER:Rs. 957.55
Answer: B
Ratio between length and breath of a rectangle is 25:16. The area of the rectangle is same with a square whose side is 200. Find the breadth and length of the rectangle?  Choices:  A) 150,200  B) 140,300  C) 100,300  D) 160,250  E) 100,200

Solution: Let length l = 25x and breadth b = 16x   Area of the square = 200^2 = 40000   16x*25x = 40000   400x^2 = 40000   x^2 = 100   x = 10   length = 25*10= 
25*10 = 250
250   breadth= 16*10= 
16*10 = 160
160   Answer :160,250
Answer: D
P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 3), the remainder is also D. If P/Q = 1020.75 and P/(Q + 3) = 816.6, then which of the following gives the correct set of {D, Q}?
Choose the correct choice from the following options:
A) {6, 12} B) {6, 15} C) {9, 12} D) {9, 15} E) {15, 24}

Solution: Here, we have to use   decimal part of decimal quotient ={remainder/divisor}   to translate each act of division. The first one tells us 0.75 = D/Q, and the second one tells us that 0.60 = D/(Q + 3). These are also two simultaneous equations. Multiply both to get rid of the fractions.   D = 0.75*Q   D = 0.60*(Q + 3) = 0.60*Q + 1.80   Both are equal to D, so set them equal to each other and solve for Q.   0.75*Q = 0.60*Q + 1.80   0.15*Q = 1.80   Q = 1.80/0.15 = 180/15 = 60/5= 
60/5 = 12
12   Now that we know Q= 12, we can find D = 0.75*Q = (3/4)*12= 
(3/4)*12 = 9
9. So D= 9 and Q = 12. Answer = {9, 12}.
Answer: C
110 people are attending a newspaper conference. 45 of them are writers and more than 38 are editors. Of the people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number of people who are both writers and editors?	Pick one
A) 34  B) 32  C) 30  D) 26  E) 28

Solution: {Total}={Writers}+{Editors}-{Both}+{Neither}.   {Total}=110;   {Writers}=45;   {Editors}>38;   {Both}=x;   {Neither}=2x;   110=45+{Editors}-x+2x --> x=65-{Editors}. We want to maximize x, thus we should minimize {Editors}, minimum possible value of {Editors} is 39, thus x={Both}=65-39= 
65-39 = 26
26.   Answer: 26.
Answer: D
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?	Choose one:  A) 375  B) 400  C) 600  D) 800  E) 550

Solution: C's 1 day's work =1/3-1/6	+1/7	=1/3	-7/24=1/24	.   A's wages : B's wages : C's wages =	1/6 : 1/8 : 1/24= 4 : 3 : 1.   C's share (for 3 days) = Rs. 3 x	1/24	x 3200 = Rs. 400.   Option 400
Answer: B
If y = 30p, and p is prime, what is the greatest common factor of y and 18p, in terms of p?  Choose one:	A) p	B) 2p	C) 5p	D) 6p	E) p^2

Solution: Y=30p   other number is 18p   then GCF(30p,18P)=6P; 6p is the correct answer
Answer: D
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is Choose the correct choice from the following answers:
A) 2447  B) 377  C) 667  D) 416  E) 871

Solution: Explanation:   Let the number of boys and girls be 8x and 5x.   Total number of students = 13x = 13 * 32= 
13 * 32 = 416
416.   Answer: 416
Answer: D
A five-member committee is to be formed from a group of five military officers and nine civilians. If the committee must include at least two officers and two civilians, in how many different ways can the committee be chosen?
Choose the correct choice: A) 119 B) 1,200 C) 3,240 D) 3,600 E) 14,400

Solution: To meet the conditions we can have only 2 cases:   2 officers and 3 civilians: C25∗C39=840   3 officers and 2 civilians: C35∗C29=360   Total: 840+360=1,200.   Answer: 1,200.
Answer: B
Look at this series: 75, 75, 70, 70, 65, 65, ... What number should come next?	Pick:
A) 14
B) 15
C) 17
D) 60
E) 11

Solution: In this series, each number is repeated, then 5 is subtracted to arrive at the next number.   The next number is 60   Answer : 60
Answer: D
If x is a positive integer less than 30, is 'x' an odd number? Choose the correct answer:
A) 87
B) 65
C) 77
D) 56
E) 19

Solution: Answer:65
Answer: B
A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. What is the remainder when nm is divided by 9?
Choose one:
A) 4
B) 2
C) 3
D) 0
E) 1

Solution: n = 9x + 6   m = 12y + 4   nm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24   Remainder of nm/9 = (108xy + 36x + 72y + 24)/9   Observe that the all four terms are a multiple of 9   hence nm is divisible by 9   Correct Option: 0
Answer: D
A man can row with a speed of 5 kmph in still water. If the stream flows at 30 kmph, then the speed in downstream is?  Select the correct option
A) 29  B) 35  C) 20  D) 27  E) 121

Solution: M = 5   S = 30   DS = 5 + 30= 
5 + 30 = 35
35   Answer: 35
Answer: B
How many times in a day, are the hands of a clock in straight line but opposite in direction?	Answers.
A) 20  B) 22  C) 24  D) 48  E) 45

Solution: Solution   The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).   So, in a day, the hands point in the opposite directions 22 times.   Answer 22
Answer: B
The average age of 3 boys is 20 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
Pick.
A) 10years
B) 15years
C) 20years
D) 25years
E) 12years

Solution: Total age of 3 boys = 20*3= 
20*3 = 60
60   ratio of their ages= 3:5:7   Age of the youngest = 60*3/15= 
60*3/15 = 12
12 years   Answer is 12years
Answer: E
A cycle is bought for Rs.675 and sold for Rs.1080, find the gain percent?
Choose the correct choice:
A) 22 B) 60 C) 99 D) 88 E) 11

Solution: 675 ---- 180   100 ---- ? => 60%   Answer:60
Answer: B
A car travels at a speed of 65 miles per hour. How far will it travel in 4 hours? Choose the correct answer:  A) 125 miles  B) 225 miles  C) 260 miles  D) 425 miles  E) 525 miles

Solution: During each hour, the car travels 65 miles. For 4 hours it will travel   65 + 65 + 65 + 65 = 4 × 65 = 260 miles   correct answer is 260 miles) 260 miles
Answer: C
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is: Answers.
A) Rs. 207.40 B) Rs. 534.60 C) Rs. 648 D) Rs. 655.60 E) Rs. 555

Solution: Explanation:   Number of shares =4455/8.25= 
4455/8.25 = 540
540   Face value= Rs. (540 x 10) = Rs. 5400.   Annual income = Rs. 12/100*5400 =Rs. 648   ANSWER IS Rs. 648
Answer: C
Praveen starts business with Rs.3220 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
Choose the correct choice from the following answers.
A) s.7500  B) s.8000  C) s.8280  D) s.9000  E) s.6000

Solution: Let Hari’s capital be Rs. x. Then, 3220 * 12/7x = 2/3   => 14x = 115920   => x =8280.   ANSWER:s.8280
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Choose one.
A) 210m
B) 240m
C) 963m
D) 874m
E) 578m

Solution: Explanation:   Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.   Answer: 240m)240m
Answer: B