Ratio

Question 1

A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds.

Answer 1

3 dog = 4 hare;
Or, dog/hare = 4/3
let hare's one leap = 3 metre and dog's leap = 4 metre
Then, dogs speed = 16 units (4*4)
hares speed = 15 units (5*3)

Question 2

A movie buff owns movies on DVD and on Blu-ray in a ratio of 7 : 2. If she buys 6 more Blu-ray movies, that ratio would change to 11 : 4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?

○ 22 
○ 28 
○ 77 
○ 99 
○ 105

Answer 2

99

Question 3

The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?
○ 2 : 3
○ 6 : 7
○ 8 : 9
○ 8 : 3
○ It cannot be determined from the information given.

Answer 3

It cannot be determined from the information given.

Question 4

Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $3,500, how much money did investors B and C earn in total?

○$4,000 
○$4,900 
○$5,600 
○$9,500 
○$10,500

Answer 4

$10,500

Question 5

If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?

○4/15 
○1/3 
○2/5 
○4/5 
○7/6

Answer 5

4/15

Question 6

Two number are in the ratio 5:4 and their difference is 10. What is the largest number?

A. 40
B. 30
C. 50
D. 45

Answer 6

50

Question 7

There are 120 engineers and technicians working in a project. If the ratio of engineers to technician is 3:5, how many technicians are working in the project?

A. 45
B. 60
C. 75
D. 90

Answer 7

C 75

Question 8

The ratio of boys and girls in a school is 3:7. If there are 150 boys and girls how many boys are there?

A. 75
B. 45
C. 25
D. 95

Answer 8

B. 45

Question 9

The ratio of two number is 7:3 and the difference is 36. What is the largest number?

A. 45
B. 54
C. 63
D. 72

Answer 9

C. 63

Question 10

A man had property worth Tk. 26,540. He gave Tk. 9,200 to his wife and divided the remaining amount among his three sons in the ratio of 1:2:3. How much money did the third son get over the first son?

A. 2,890
B. 5,780
C. 5,980
D. NONE

Answer 10

B. 5,780

Question 11

Three boys have marbles in the ratio of 19:5:3. If the boy with the least number has 9 marbles how many marbles does the boy with the highest number have?

A. 57
B. 45
C. 76
D. 38

Answer 11

A. 57

Question 12

A jar contains white, red and green marbles in the ratio 2:3:5. Six more green marbles are added to the jar and then the ratio becomes 2:3:7. How many white marbles are there in the jar?

A. 5
B. 6
C. 9
D. 10

Answer 12

B. 6

Question 13

A man left Taka 5000 to his three sons X Y and Z for every Taka X received, Y received Tk.1.5 and Z received Tk. 2.5. How much money was left to Y?

A. Tk. 750
B. Tk. 1000
C. Tk. 1200
D. Tk. 1500

Answer 13

D. 1500

Question 14

X is greater b than Y by 13 and Z is less than Y by 7. If the ratio of X:Z is 9:5, what is the value of Z?

A. 12
B. 17
C. 25
D. 32

Answer 14

C. 25

Question 15

X is greater b than Y by 13 and Z is less than Y by 7. If the ratio of X:Z is 9:5, what is the value of Z?

A. 12
B. 17
C. 25
D. 32

Answer 15

C. 25

Question 16

The salary of X is Taka 7000 more than that of Y. The salary of Y is Taka 5000 more than that of Z. If the ratio of X’s salary to Z’s salary is 9:5, what is the salary of X?

A. 12,000
B. 15,000
C. 20,000
D. 27,000

Answer 16

D. 27,000

Question 17

The ratio of girls to boys in the class is 3:4. The number of students in the classroom be any of the following except

A. 36
B. 28
C. 42
D. None

Answer 17

A. 36

Question 18

If the ratio of boys and girls in a school is 5:3. Which of the following could not be the number of students in the school?

A. 512
B. 416
C. 224
D. 178

Answer 18

D. 178

Question 19

The whole numbers whose sum is 72 cannot be in the ratio:

A. 5:7
B. 3:5
C. 3:4
D. 4:5

Answer 19

C. 3:4

Question 20

Pallab has exactly 3:times as many Bangladeshi as non-Bangladeshi stapms in his collections. Which of the following cannot be a number stamps in Pallab’s collections?

A. 54
B. 68
C. 96
D. 72

Answer 20

A. 54

Question 21

Taka 3660 is divided among X, Y and Z in such a way that if Tk.10, 20 and 30 are removed from the sums that X, Y and Z received respectively, then the share of the sums that they will get will be in the ratio of 3:4:5. How much did X receive?

A. 890
B. 905
C. 910
D. 915

Answer 21

C. 910