Ratio & Proportion (SSC) (Part-6)

Total Questions: 34

11. If (a + b) : (b + c) : (c + a) = 7 : 4 : 5, and a + b + c = 16, then (a² + b² + c²) : (ab + bc + ca) is equal to: [SSC MTS 08/10/2021 (Evening)]

Correct Answer: (b) 26 : 19
Solution:

12. Renuka got 1½ times as many marks in Mathematics as in English. Her total marks in Mathematics, English and Science are 190. If the ratio of the marks in Mathematics and Science is 2 : 3, find her Science marks. [SSC MTS 11/10/2021 (Evening)]

Correct Answer: (b) 90
Solution:


13. A man ordered 10 physics books and some chemistry books. The price of a chemistry book is twice the price of a Physics book. While preparing the bill the clerk interchanged the number of physics and chemistry books by mistake, which decreased the bill by 12½%. The ratio of the number of physics books to the number of chemistry books in the original order is: [SSC MTS 12/10/2021 (Evening)]

Correct Answer: (d) 2 : 3
Solution:

14. The ratio of the monthly income and expenditure of Dinesh is 17 : 14, and his monthly savings are ₹12,000. If his monthly income is increased by ₹10,000 and expenditure is decreased by ₹2,000, then the new ratio of his income and expenditure is: [SSC MTS 12/10/2021 (Evening)]

Correct Answer: (b) 13 : 9
Solution:

15. A certain sum is divided among A, B, C and D such that B's share is 1/3 of A's share, C's share is 40% of B's share, and D's Share is 50% of C's share. If the difference between the shares of B and D is ₹1,600, then the sum is: [SSC MTS 13/10/2021 (Morning)]

Correct Answer: (d) ₹9,200
Solution:

16. A, B and C are boxes with marbles in the ratio 2 : 3 : 4. The total number of marbles in the boxes is 360. The above ratio can be changed to 3 : 8 : 7 by which of the following? [SSC MTS 18/10/2021 (Morning)]

(i) By transferring 20 marbles from A to B and 20 marbles from C to B.

(ii) By transferring 20 marbles from A to B and 10 marbles from C to B.

(iii) By transferring 40 marbles from A to B and 20 marbles from C to B

(iv) By transferring 30 marbles from A to B and 30 marbles from C to B.

Correct Answer: (c) (i)
Solution:

17. The number of students in three sections of Grade 10 in a school are in the proportion 3 : 5 : 8. If 15, 30 and 15 more students are admitted in the three sections, respectively, the new proportion becomes 4 : 7 : 9. The total number of students before the new admissions is: [SSC MTS 18/10/2021 (Afternoon)]

Correct Answer: (c) 240
Solution:

If we observe the given ratio we get

18. The price of a semi-precious stone weighing 48 g, is ₹2,30,400. It is broken into two pieces whose weights are in the ratio 5 : 7. If the price is proportional to the square of the weight, then the loss (in ₹) incurred, is: [SSC MTS 18/10/2021 (Afternoon)]

Correct Answer: (a) 1,12,000
Solution:

19. x and y are two numbers having opposite signs such that, 𝓍² : y² = 49 : 64. What is the value of (5x - 6y) : (6x - 7y)? [SSC MTS 18/10/2021 (Evening)]

Correct Answer: (d) 83 : 98
Solution:

20. In an examination, the ratio of the number of candidates who passed to those who failed was 5 : 2. If the number of failed candidates had been 14 more, then the ratio of the number of passed candidates to those who failed would have been 4 : 3. The number of candidates who appeared in the examination was: [SSC MTS 20/10/2021 (Afternoon)]

Correct Answer: (b) 98
Solution: