Ratio and Proportion MCQs for Competitive Examination
Solve the following problems.
Q. 21
The ratio of the ages of A and B, four years ago, was 4 : 5. Eight years from now the ratio of the ages of A and B will be 11 : 13. What is the sum of their present ages?
(A) 80 years
(B) 72 years
(C) 96 years
(D) 76 years
Answer: (A) 80 years
Explanation: N/A
Q. 22
The ratio of the present ages of A and B is 8 : 9. After 9 years, this ratio will become 19 : 21. C is 3 years younger to B. What is the present age of C?
(A) 49 years
(B) 48 years
(C) 51 years
(D) 52 years
Answer: (C) 51 years
Explanation: N/A
Q. 23
What is the ratio of the mean proportional between 8.1 and 3.6 and the third proportional of 2 and 3?
(A) 5 : 6
(B) 5 : 4
(C) 4 : 5
(D) 6 : 5
Answer: (D) 6 : 5
Explanation: N/A
Q. 24
If A : B = 7 : 8 and B : C = 7 : 9, then what is the ratio of A : B : C?
(A) 56 : 49 : 72
(B) 56 : 72 : 49
(C) 49 : 56 : 72
(D) 72 : 56 : 49
Answer: (C) 49 : 56 : 72
Explanation: N/A
Q. 25
A : B = 5 : 8 and B : C = 11 : 13. If A = 110, then what is the value of C?
(A) 176
(B) 104
(C) 208
(D) 88
Answer: (C) 208
Explanation: N/A
Q. 26
If P : Q = 5 : 2, then (2P – 3Q) : (3P – 5Q) is equal to
(A) 5 : 6
(B) 2 : 7
(C) 4 : 5
(D) 3 : 4
Answer: (C) 4 : 5
Explanation: N/A
Q. 27
The ratio of three numbers is 3 : 6 : 8. If their product is 9216, then what is the sum of the three numbers?
(A) 96
(B) 72
(C) 144
(D) 68
Answer: (D) 68
Explanation: N/A
Q. 28
The ratio of three numbers is 2 : 3 : 5. If the sum of the three numbers is 275, then what is the largest among the three numbers?
(A) 142
(B) 82.5
(C) 137.5
(D) 152
Answer: (C) 137.5
Explanation: N/A
Q. 29
If 3A = 6B = 9C. What is A : B : C?
(A) 6 : 3 : 1
(B) 6 : 3 : 2
(C) 9 : 3 : 6
(D) 9 : 3 : 1
Answer: (B) 6 : 3 : 2
Explanation: N/A
Q. 30
What is the third proportion to 10 and 20?
(A) 30
(B) 25
(C) 50
(D) 40
Answer: (D) 40
Explanation: Let third proportion = X
Now, 10/20 = 20/X
Hence, X = 40
Q. 31
What is the fourth proportional to 189, 273 and 153?
(A) 117
(B) 299
(C) 221
(D) 187
Answer: (C) 221
Explanation: Let the fourth proportional be = X
Now, 189/273 = 153/X
Calculating, X = 221
Q. 32
(1/2) of A = (2/5) of B = (1/3) of C, then A : B : C is
(A) 4 : 5 : 6
(B) 6 : 4 : 5
(C) 4 : 6 : 5
(D) 5 : 4 : 6
Answer: (A) 4 : 5 : 6
Explanation: N/A
Q. 33
In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. The number of girls to be added in the union, so that the ratio of boys to girls is 6 : 5
(A) 6
(B) 7
(C) 12
(D) 17
Answer: (B) 7
Explanation: N/A
Q. 34
If (x + y) : (x – y) = 11 : 1, find value of (5x + 3y) : (x – 2y)
(A) 45/4
(B) 4/45
(C) – (45/4)
(D) – (4/45)
Answer: (C) – (45/4)
Explanation: N/A
Q. 35
If (A/3) = (B/2) = (C/5), then what is the value of ratio (C + A)² : (A + B)² : (B + C)²
(A) 9 : 4 : 25
(B) 25 : 4 : 9
(C) 64 : 25 : 49
(D) 49 : 25 : 64
Answer: (C) 64 : 25 : 49
Explanation: N/A
Q. 36
If (a – b) : (b – c) : (c – d) = 1 : 2 : 3, then what is the value of (a + d) : c?
(A) 1 : 2
(B) 2 : 1
(C) 4 : 1
(D) 3 : 1
Answer: (B) 2 : 1
Explanation:
(a – b)/1 = (b – c)/2 = (c – d)/3 = k (suppose)
hence, (c -d) = 3k or c = d + 3k
also, (b – c) = 2k or b = c + 2k or b = d + 3k + 2k or b = d + 5k
and, (a – b) = k or a = b + k or a = d + 6k
Now, (a + d)/c = (d + 6k + d)/(d + 3k) = 2/1 = 2 : 1
Q. 37
A box contains one rupee, fifty-paise and twenty-five paise coins. The total number of coins is 378. The ratio of values of the above coins is 13 : 11 : 7. The number of twenty-five paise coins is
(A) 168
(B) 210
(C) 132
(D) 78
Answer: (A) 168
Explanation: N/A
Q. 38
Two numbers whose sum is 84 can not be in the ratio
(A) 5 : 7
(B) 13 : 8
(C) 1 : 3
(D) 3 : 2
Answer: (D) 3 : 2
Explanation: N/A
Q. 39
The sum of three numbers is 540. The ratio of second to third is 9 : 13 and that of first to third is 2 : 7. The third number is
(A) 273
(B) 280
(C) 250
(D) 286
Answer: (A) 273
Explanation: N/A
Q. 40
How many job applicants had applied if the ratio of selected to unselected was 19 : 17. If 1, 200 less had applied and 800 less selected, then the ratio of selected to unselected would have been 1 : 1.
(A) 6000
(B) 7200
(C) 8400
(D) 4800
Answer: (B) 7200
Explanation: N/A