Ratio & Proportion (SSC) (Part-6)

Total Questions: 34

1. One cup has juice and water in the ratio 5 : 2, while another cup of the same capacity has them in the ratio 7 : 4, respectively. If the contents of both the cups (when full) are poured in a vessel, then what will be the final ratio of water to juice in the vessel? [SSC CGL Tier II (29/01/2022)]

Correct Answer: (a) 25:52
Solution:

2. The ratio of the incomes of A and B in the last year was 4 : 3. The ratios of their individual incomes in the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income in the present year is ₹24.12 lakhs, then the sum of the income (in ₹ lakhs) of A in the last year and that of B in the present year is: [SSC CGL Tier II (29/01/2022)]

Correct Answer: (a) 20.52
Solution:


3. Let x, y, z be fractions such that x<y<z. If z is divided by x, the result is 5/2, which exceeds y by 7/4. If x + y + z = 1¹¹⁄₁₂ then the ratio of (z - x) : (y - x) is: [SSC CGL Tier II (03/02/2022)]

Correct Answer: (a) 6 : 5
Solution:

4. In an examination, the number of students who passed and the number of students who failed were in the ratio 25 : 4. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 : 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination? [SSC CGL Tier II (03/02/2022)]

Correct Answer: (b) 126
Solution:

5. Suman divided a certain sum between her three daughters in the ratio 2 : 3 : 4. Had she divided the sum in the ratio 1/2 : 1/3 : 1/4, the daughter who got the least share earlier, would have got ₹3,500 more. The sum was: [SSC MTS 05/10/2021(Afternoon)]

Correct Answer: (d) ₹14,625
Solution:

6. In a library, the ratio of the number of mathematics books to that of physics books , is the same as the ratio of the number of physics books to that of chemistry books. If there are 144 mathematics books and 100 chemistry books, then the ratio of the total number of mathematics and physics books to the total number of chemistry and physics books is :- [SSC MTS 05/10/2021 (Evening)]

Correct Answer: (b) 6 : 5
Solution:


7. 70 males and 100 females are working in a firm. During one mass recruitment drive, an equal number of males and females are recruited and their ratio becomes 3 : 4. The total number of people working in the firm after recruitment is: [SSC MTS 06/10/2021 (Morning)]

Correct Answer: (c) 210
Solution:

8. Between two consecutive years, my income is in the ratio 2 : 5 and expenses are in the ratio 4 : 7. If my income in the second year is ₹75,000 and my expenses in the first year are ₹20,000, then my total savings in the two years together are: [SSC MTS 06/10/2021 (Morning)]

Correct Answer: (c) ₹50,000
Solution:

9. A sum of ₹3,780 is divided between A, B and C such that if their shares are decreased by ₹130, ₹150 and ₹200, respectively, then they are in the ratio of 5 : 2 : 4. What is the original share of C ? [SSC MTS 06/10/2021 (Evening)]

Correct Answer: (c) ₹1,400
Solution:

10. A, B and C are three boxes containing marbles in the ratio 3 : 5 : 7, and the total number of marbles is 75. If 3 marbles are transferred from B to A, and 5 marbles are transferred from C to B, then the new ratio of the marbles is: [SSC MTS 07/10/2021 (Morning)]

Correct Answer: (d) 6 : 9 : 10
Solution: