Ratio & Proportion (SSC) (Part-4)

Total Questions: 50

31. What smallest positive number should be subtracted from 2 and 3 so that 4 is the third proportion to them? [SSC CGL 26/07/2023 (4th shift)]

Correct Answer: (a) 1
Solution:

32. If the third proportional of 3x² and 4xy is 48, then find the positive value of y. [SSC CGL 27/07/2023 (2nd shift)]

Correct Answer: (a) 3
Solution:

33. The ratio of cheese to sauce for a single pizza is 1 cup to 1/2 cup. If Rama used 15 cups of sauce to make a number of pizzas, then how many cups of cheese did she use on those pizzas ? [Graduate Level 27/06/2023 (Shift - 4)]

Correct Answer: (d) 30 cups
Solution:

34. Out of the total income, a family saves 15% and the rest of the amount is spent on three types of expenditure - health, education and food in the ratio of 1 : 2 : 2. The income is Rs.300 less than thrice the expenditure incurred on education. What is the difference between the savings and the expenditure incurred on health? [Graduate Level 27/06/2023 (Shift - 4)]

Correct Answer: (a) Rs.300
Solution:

35. Let M denote the mean proportional between 16 and 9 and let N denote the third proportional of 9 and 15. Find the value of 5M + 3N. [Graduate Level 28/06/2023 (Shift - 3)]

Correct Answer: (c) 135
Solution:

36. A company is manufacturing three different products - Glass, Plate and Bowl. The number of Plates is double the number of Glasses. The number of Glasses manufactured is twice the number of Bowls. What is the difference between the number of Plates and the number of Bowls if the total units manufactured by the company is 2380? [Graduate Level 28/06/2023 (Shift - 3)]

Correct Answer: (d) 1020
Solution:

37. Two numbers are in the ratio of 7 : 6. If the difference between their squares is 637, then the numbers are [Higher Secondary 30/06/2023 (Shift - 2)]

Correct Answer: (a) 49 and 42
Solution:

38. The students in three batches of a dance class are in ratio 2 : 3 : 5. If 20 students increase in each batch the ratio changes to 4 : 5 : 7. Find the total number of students in the three batches before the increase. [Matriculation Level 27/06/2023 (Shift -1)]

Correct Answer: (b) 100
Solution:


39. In an examination, the ratio of practical to theory marks is 3 : 7. If 80% of the marks are scored in the practical and 60% of marks are scored in the theory, what is the ratio of marks scored in the theory and the practical ? [Matriculation Level 28/06/2023 (Shift - 1)]

Correct Answer: (c) 7 : 4
Solution:

40. If a : b : c = 4 : 7 : 9 and b : c : d = 28 : 36 : 21, then a : b : c : d is: [Matriculation Level 28/06/2023 (Shift - 4)]

Correct Answer: (b) 16 : 28 : 36 : 21
Solution: