Ratio and Proportion MCQs for Competitive Examination
Solve the following problems.
Q. 61
The number of students in three classes are in the ratio 2 : 3 : 4. If 12 students are increased in each class, this ratio changes to 8 : 11 : 14. The total number of students in the three classes at the beginning was
(A) 162
(B) 108
(C) 96
(D) 54
Answer: (A) 162
Explanation: N/A
Q. 62
A and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs 12,000 and Rs 10,000 each month respectively, then the difference in their monthly incomes is
(A) Rs 52,000
(B) Rs 42,000
(C) Rs 44,000
(D) Rs 46.000
Answer: (B) Rs 42,000
Explanation: N/A
Q. 63
A person bought some rice and wheat for Rs 380. The ratio of weight of rice and wheat is 4 : 3 and the price of equal amount of rice and wheat is in the ratio of 5 : 6. What is the cost of rice bought then?
(A) Rs 380
(B) Rs 300
(C) Rs 200
(D) Rs 180
Answer: (C) Rs 200
Explanation: N/A
Q. 64
The ratio of the incomes of A and B as well as B and C is 3 : 2. If one third of A’s income exceeds one fourth of C’s income by Rs 1000, what is B’s income in ` ?
(A) 3000
(B) 2500
(C) 3500
(D) 4000
Answer: (A) 3000
Explanation: N/A
Q. 65
The ratio of the income to the expenditure of a family is 10 : 7. If the family’s expenses are Rs 10,500, then savings of the family is
(A) Rs 4500
(B) Rs 10, 000
(C) Rs 4000
(D) Rs 5000
Answer: (A) Rs 4500
Explanation: N/A
Q. 66
The income of A, B and C are in the ratio of 7 : 9 : 12 and their spendings are in the ratio of 8 : 9 : 15. If A saves (1/4)th of his income, then the savings of A, B and C are in the ratio of
(A) 56 : 99 : 69
(B) 69 : 56 : 99
(C) 99 : 56 : 69
(D) 99 : 69 : 56
Answer: (A) 56 : 99 : 69
Explanation: N/A
Q. 67
If A : B = (1/2) : (1/3), B : C = (1/5) : (1/3), then (A + B) : (B + C) is equal to
(A) 5 : 8
(B) 9 : 10
(C) 15 : 16
(D) 6 : 15
Answer: (C) 15 : 16
Explanation: N/A
Q. 68
The ratio of the amount of work done by (x – 1) labours in (x + 1) days and that done by (x + 1) labourers in (x + 2) days is 5 : 6. Then the value of x is
(A) 16
(B) 15
(C) 17
(D) 14
Answer: (A) 16
Explanation: N/A
Q. 69
A sum of Rs 730 was divided among A, B and C in such a way that if A gets Rs 3, then B gets Rs 4 and if B gets Rs 3.50, then C gets Rs 3. The share of B exceeds that of C by
(A) Rs 30
(B) RS 40
(C) Rs 70
(D) Rs 210
Answer: (B) RS 40
Explanation: N/A
Q. 70
Find the ratio of the diagonal of a square of side 30 cm to its side
(A).√2 : 3
(B) √3 : 4
(C) 1 : √2
(D) √2 : 1
Answer: (D) √2 : 1
Explanation: N/A
Q. 71
If (x + 1/x) : (x – 1/x) = 5 : 3, then the value of x is
(A) ± 1
(B) ± 2
(C) ± 3
(D) 0
Answer: (B) ± 2
Explanation: N/A
Q. 72
Find the fraction which bears the same ratio to (1/27) that (3/7) does to (5/9)
(A) 5/9
(B) 1/35
(C) 45/7
(D) 7/45
Answer: (B) 1/35
Explanation: N/A
Q. 73
In a library the ratio of storybooks and other books is 7 : 2 and there are 1512 storybooks. Due to the collection of additional storybooks the said ratio becomes 15 : 4. The number of storybooks collected
is
(A) 108
(B) 100
(C) 205
(D) 97
Answer: (A) 108
Explanation: N/A
Q. 74
In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After a few days, 30 girls joined the school but a few boys left as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is
(A) 76
(B) 74
(C) 84
(D) 86
Answer: (A) 76
Explanation: N/A
Q. 75
The compound ratio of the inverse ratios of the ratios x : yz, y : zx, z : xy is,
(A) 1 : xyz
(B) xyz : 1
(C) 1 : 1
(D) x : yz
Answer: (B) xyz : 1
Explanation: Inverse ratios of the given ratios = yz : x, zx : y, xy : z
Now compound ratio (yz/x) * (zx/y) * (xy/z) = xyz : 1
Q. 76
A boy has a few coins of denominations 50 paise, 25 paise and 10 paise in the ratio 1 : 2 : 3. If the total amount of the coins is Rs 6.50, the number of 10 paise coins is
(A) 5
(B) 10
(C) 15
(D) 20
Answer: (C) 15
Explanation: N/A
Q. 77
Three persons A, B and C whose salaries combined amounting to Rs 72,000 contribute their expenses with 80, 85 and 75 percent of their salaries respectively. If their savings are in the ratio of 8 : 9 : 20, then A’s salary is
(A) Rs 20,000
(B) Rs 16,000
(C) Rs 22,000
(D) Rs 18,000
Answer: (B) Rs 16,000
Explanation: N/A
Q. 78
A box contains 420 coins in denominations of 1 rupee, 50 paise and 20 paise coins. The ratio of their rupee values being 13 : 11 : 7, now find the number of 50 paise coins
(A) 42
(B) 78
(C) 66
(D) 132
Answer: (C) 66
Explanation: N/A
Q. 79
Between two consecutive years my income are in the ratio of 2 : 3 and expenses are in the ratio of 5 : 9. If my income in the second year is Rs 45,000 and my expenses in the first year is Rs 25,000 my total savings for the two years is
(A) Nil
(B) Rs 15,000
(C) Rs 10,000
(D) Rs 5000
Answer: (D) Rs 5000
Explanation: N/A
Q. 80
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends Rs 2000 and B saves Rs 700, then A saves
(A) Rs 1500
(B) Rs 1000
(C) Rs 500
(D) Rs 250
Answer: (A) Rs 1500
Explanation: N/A