Ratio and Proportion CUET General Test MCQs

Question: The least ratio among 10 : 18, 7 : 21, 12 : 16, 8 : 20 is
a) 12 : 16
b) 8 : 20
c) 10 : 18
d) 7 : 21

Answer: c

Question: If 1/3 of A = 75% of B = 0.6 of C, then A : B:C is
a) 4 : 5 : 9
b) 5 : 9 : 4
c) 9 : 5 : 4
d) 9 : 4 : 5

Answer: d

Question: The fourth proportional of the numbers 12, 16, 18 is
a) 28
b) 30
c) 20
d) 24

Answer: d

Question: A certain number is divided into two parts such that 5 times the first part added to 11 times, the second part makes 7 times the whole. The ratio of the first part to the second part is
a) 2 : 1
b) 5 : 11
c) 1 : 2
d) 2 : 3

Answer: a

Question: What sum of money is to be divided among 3 persons in the ratio 3 : 4 : 7, so that the second person receives Rs 12 only?
a) Rs 21
b) Rs 32
c) Rs 9
d) Rs 42

Answer: d

Question: In a certain examination, the number of those who passed was 4 times the number of those who failed. If there had been 35 fewer candidates and 9 more had failed, the ratio of passed and failed candidates would have been 2 : 1, then the total number of candidates was
a) 135
b) 155
c) 145
d) 150

Answer: b

Question: If a/b = 2/3 and b/c = 4/5 , then (a + b) : (b + c) = ?
a) 3 : 4
b) 4 : 5
c) 5 : 9
d) 20 : 27

Answer: d

Question: If there are Rs 495 in a bag in denominations of Rs 1, 50 paisa and 25 paisa coins, which are in the ratio 1 :8 :16. How many 50 paisa coins are there in the bag?
a) 50
b) 220
c) 440
d) None of these

Answer: c

Question: Ratio between the monthly incomes of A and B is 9 : 8 and the ratio between their expenditures is 8 : 7. If they save Rs 500 each, find A’s monthly income.
a) Rs 3500
b) Rs 4000
c) Rs 4500
d) Rs 5000

Answer: c

Question: If x be the mean proportion between (x − 2) and (x − 3), then the value of x is
a) 6
b) 5
c) 6/5
d) 5/6

Answer: c

Question: If x : y = 3 : 4, then the value of 5x − 2 y/7x + 2y.
a) 7/25
b) 7/23
c) 7/29
d) 7/17

Answer: c

Question: The monthly income of H and W is in the ratio 4 : 3 and the expenditure is in the ratio 3 : 2. If each of them saves Rs 600 per month, the income of W, in rupees is
a) 1200
b) 2400
c) 1800
d) 9000

Answer: c

Question: If 1/5 : 1/x = 1/x : 1/1.25 , then the value of x is
a) 1.5
b) 2
c) 2.5
d) 3.5

Answer: c

Question: A bag contains an equal number of Rs 1, 50 paise and 25 paise coins respectively. If the total value is Rs 35, how many coins of each type are there?
a) 20
b) 16
c) 18
d) 25

Answer: a

Question: What number must be taken from each term of the fraction 27/35 that it may become 2 : 3?
a) 9
b) 10
c) 7
d) 11

Answer: d

Question: If a : b = c : d, then the value of a²+ b²/c²+ d² is
a) 1/2
b) a + b/c + d
c) a − b/c − d
d) b²/d²

Answer: d

Question: The ratio of land and water in the whole world is
1 : 2 . If this ratio in the Northern hemisphere be
2 : 3, then the ratio of land and water in the Southern hemisphere is
a) 4 : 7
b) 4 : 11
c) 3 : 4
d) 4 : 3

Answer: b

Question: A dog pursues a cat and takes 5 leaps for every 6 leaps of the cat, but 4 leaps of the dog are equal to 5 leaps of the cat. Compare the speeds of the dog and the cat.
a) 15 : 22
b) 9 : 25
c) 25 : 21
d) 25 : 24

Answer: d

Question: Ratio of boys to the girls in a class is 5 : 4. Which of the following cannot be the number of students in the class?
a) 45
b) 72
c) 108
d) 98

Answer: d

Question: The monthly salary of A, B, C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs 1200 more than that of A, then B’s annual salary is
a) Rs 14400
b) Rs 24000
c) Rs 1200
d) Rs 2000

Answer: a

Question: The ratio of 40 m and 2 km is
a) 1 : 50
b) 2 : 35
c) 1 : 40
d) 3 : 25

Answer: a

Question: If a : b = c : d, then ma + nc/mb + nd is equal to
a) m: n
b) na : mb
c) a : b
d) md : nc

Answer: c

Question: If p: q = 3 : 4 and q : r = 8 :9, then p: r is
a) 1 : 3
b) 3 : 2
c) 2 : 3
d) 1 : 2

Answer: c

Question: If a + b : b + c : c + a = 6 : 7 : 8 and a + b + c = 14 , then the value of c is
a) 6
b) 7
c) 8
d) 14

Answer: a

Question: Divide 170 into three parts such that the first part is 10 more than the second and its ratio with third part is 2 : 5.
a) 22 : 35 : 113
b) 35 : 55 : 80
c) 40 : 30 : 100
d) 35 : 65 : 70

Answer: c

Question: A certain sum of money is divided between P and Q in the ratio of 3 1/2 : 5 1/2. If P gets Rs 180 less than Q, then the square of Q is
a) Rs 315
b) Rs 495
c) Rs 630
d) Rs 810

Answer: b

Question: The present ratio of ages of A and B is 4 : 5. 18 yr ago, this ratio was 11 : 16. Find the sum of total of their present ages.
a) 90 yr
b) 105 yr
c) 110 yr
d) 80 yr

Answer: a

Question: What should be subtracted from each of the numbers 54, 71, 75 and 99, so that the remainders are in continued proportion?
a) 9
b) 7
c) 4
d) 3

Answer: d

Question: Four numbers in the ratio 1 : 3 : 4 : 7 add up to give a sum of 105. Find the value of the biggest number.
a) 42
b) 35
c) 49
d) 63

Answer: c

Question: If two numbers are in the ratio of 5 : 8 and if 9 added to each, the ratio becomes 8 : 11. Find the sum of the numbers.
a) 39
b) 49
c) 64
d) 19

Answer: a

Question: If A : B = 6 : 7 and B : C = 8 : 9, then A : B : C is:
a) 24 : 28 : 63
b) 48 : 28 : 63
c) 48 : 56 : 63
d) None of these

Answer: c

Question: If 0.7 of one number is equal to 0.075 of another, what is the ratio of the two numbers?
a) 6 : 14
b) 3 : 28
c) 5 : 7
d) None of these

Answer: b

Question: The monthly salary of A, B, C is in the proportion of 2 : 3 ; 5. If C’s monthly salary is Rs 1200 more than that of A, then B’s annual salary is:
a) Rs 14400
b) Rs 24000
c) Rs 1200
d) Rs 2000

Answer: c

Question: Rs 1050 is divided among P, Q and R. The share of P is 2/5 of the combined share of Q and R. Thus P gets:
a) Rs 200
b) Rs 300
c) Rs 400
d) Rs 420

Answer: b

Question: If 10% of x is the same as 20% of y, then x : y is equal to :
a) 1 : 2
b) 2 : 1
c) 5 : 1
d) 10 : 1

Answer: b

Question: The mean proportional between 0.32 and 0.02 is:
a) 0.34
b) 0.3
c) 0.16
d) 0.08

Answer: d

Question: The sum of two numbers is 20 and their difference is 2 1/2 . What is the ratio of the numbers?
a) 11 : 7
b) 9 : 11
c) 9 : 7
d) None of these

Answer: c

Question: The sum of three numbers is 98. If the ratio between the first and second be 2 : 3 and that between the second and third be 5 : 8, then what is the second number?
a) 20
b) 30
c) 10
d) 40

Answer: b

Question: One man adds 3 litres of water to 12 litres of milk and another 4 litres of water to 10 litres of milk. What is the ratio of the strenghts of the milk in the two mixtures?
a) 15 : 25
b) 25 : 28
c) 28 : 25
d) None of these

Answer: c

Question: Two numbers are in the ratio 3 : 5. If each number is increased by 10, the ratio becomes 5 : 7. The numbers are:
a) 3, 5
b) 7, 9
c) 13, 22
d) 15, 25

Answer: d

Question: Rs 425 is divided among 4 men, 5 women and 6 boys such that the share of a man, a woman and a boy may be in the ratio of 9 : 8 : 4. What is the share of a woman?
a) Rs 34
b) Rs 24
c) Rs 44
d) None of these

Answer: a

Question: Three glasses P, Q and R with their capacities in the ratio 2 : 3 : 4 are filled with a mixture of spirit and water. The ratio of spirit to water in P, Q and R is 1 : 5, 3 : 5 and 5 : 7 respectively. If the contents of these glasses are mixed together, what is the ratio of spirit to water in the mixture?
a) 14 : 27
b) 23 : 47
c) 25 : 47
d) None of these

Answer: c

Question: A and B are two alloys of gold and copper prepared by mixing metals in proportions 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the proportion of gold and copper in C will be
a) 5 : 9
b) 5 : 7
c) 7 : 5
d) 9 : 5

Answer: c

Question: Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in which these two metals be mixed so that the mixtures is 15 times as heavy as water is:
a) 1 : 2
b) 2 : 3
c) 3 : 2
d) 19 : 135

Answer: c

Question: The contents of two vessels containing water and milk are in the ratio 1 : 2 and 2 : 5 are mixed in the ratio 1 : 4. The resulting mixture will have water and milk in the ratio:
a) 21 : 54
b) 31 : 74
c) 27 : 74
d) None of these

Answer: b

Question: A bucket contains a mixture of two liquids P and Q in the proportion 7 : 5. If 9 litres of the mixture is replaced by 9 litres of liquid Q, then the ratio of the two liquid becomes 7 : 9. How much of the liquid P was there in the bucket?
a) 11 litres
b) 21 litres
c) 31 litres
d) None of these

Answer: b

Question: A vessel contains liquids P and Q in the ratio 5 : 3. If 6 litres of the mixture are removed and the same quantity of liquid q is added, the ratio becomes 3 : 5. What quantity does the vessel hold?
a) 40 litres
b) 50 litres
c) 30 litres
d) None of these

Answer: a

Question: The ratio of P’s and Q’s income last year was 3 : 4. The ratio of their own incomes of last year and this year is 4 : 5 and 2 : 3 respectively. If the total sum of their present income is Rs 4160. What is the present income of P?
a) Rs 1500
b) Rs 1400
c) Rs 1600
d) None of these

Answer: c

Question: One year ago, the ratio between Mahesh and Suresh’s salaries was 3 : 5. The ratio of their individual salaries of last year and present year are 2 : 3 and 4 : 5 respectively. If their total salaries for the present year are Rs 4300, what is the present salary of Mahesh?
a) Rs 1800
b) Rs 1900
c) Rs 1600
d) None of these

Answer: a

Question: The ratio between Sumit’s and Prakash’s age at present is 2 : 3. Sumit is 6 years younger than Prakash. The ratio of Sumit’s age to Prakash’s age after 6 years will be:
a) 1 : 2
b) 2 : 3
c) 3 : 4
d) 3 : 8

Answer: c