RATIO-PROPORTION AND VARIATION (CDS)

Total Questions: 20

11. There are 350 boys in the first three standards. The ratio of the number of boys in first and second standards is 2 : 3, while that of boys in second and third standards is 4 : 5. What is the total number of boys in first and third standards? [2017 (II) Evening Shift]

Correct Answer: (d) 230
Solution:

12. If A B: : = 3 4, then what is the value of the expression [2017 (I) Morning Shift ]

Correct Answer: (d) cannot be determined
Solution:


13. The cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio of 1 2 3 4 : : : . If the loss in total value of the diamond was ₹70000 what was the price of the original diamond? [2017 (I) Morning Shift ]

Correct Answer: (a) ₹100000
Solution:Let the weights of the pieces of diamond are x, 2x, 3x, 4x.

14. In a class of 49 students, the ratio of girls to boys is 4 : 3. If 4 girls leave the class, the ratio of girls to boys would be [2017 (I) Morning Shift ]

Correct Answer: (b) 8 : 7
Solution:

15. The ratio of two numbers is 1 5: and their product is 320. What is the difference between the square of these two numbers? [2017 (I) Morning Shift ]

Correct Answer: (c) 1536
Solution:

16. 25 kg of alloy X is mixed with 125 kg of alloy Y . If the amount of lead and tin in the alloy X is the ratio 1 : 2 and the amount of lead and tin in the alloy Y is in the ratio 2 : 3, then what is the ratio of lead to tin in the mixture? [2017 (I) Morning Shift ]

Correct Answer: (d) 7 : 11
Solution:

17. In an office, one-third of the workers are women, half of the women are married and one-third of the married women have children. If three-fourth of the men are married and one-third of the married men have children, then what is the ratio of married women to married men? [2016 (II) Evening Shift]

Correct Answer: (d) 1 : 3
Solution:

18. There are twelve friends A, B, C, D, E, F, G, H, I, J, K and L who invested money in some business in the ratio of 1 : 2 : 3 : 4 : 5 : 6 : 7 : 8 : 9 : 10 : 11 : 12 and the duration for which they invested the money is in the ratio of 12 : 11 : 10 : 9 : 8 : 7 : 6 : 5 : 4 : 3 : 2 : 1, respectively. Who will get the maximum profit at the end of the year? [2016 (II) Evening Shift]

Correct Answer: (c) Both F and G
Solution:

19. Incomes of Mahesh and Kamal are in the ratio 1 : 2 and their expenses are in the ratio 1 : 3. Which one of the following statements is correct? [2016 (II) Evening Shift]

Correct Answer: (d) It is not possible to determine who saves more
Solution:

20. X and Y entered into partnership with ₹700 and ₹600 respectively. After 3 months, X withdrew 2/7 of his stock but after 3 months, he puts back 3/5 of what he had withdrawn. The profit at the end of the year is ₹726. How much of this should X receive? [2016 (II) Evening Shift]

Correct Answer: (b) ₹366
Solution:Investment by X : Investment by Y, X invested for 3 months = 700×3 = ₹2100