Number System (Part-2)

Total Questions: 50

11. A length of a violin string varies inversely with respect to the frequency of Its vibrations. The frequency of a 14-inch-long violin string is 450 cycles per second. Find the frequency of a 12-inch violin string. [SSC MTS 17/10/2024 (Evening)]

Correct Answer: (b) 525 cycles per second
Solution:

According to questions

12. b is the sum of two quantities, one of which varies inversely as the square of a², and the other of which varies directly as a. Identify the relationship between a and b if b = 49 when a = 3 or 5. [SSC MTS 21/10/2024 (Morning)]

Correct Answer: (c) b = 8a + 225/a²
Solution:

13. If p is directly proportional to q and is p = 7 when q = 6 then what is the value of p when q = 21 ? [SSC MTS 21/10/2024 (Evening)]

Correct Answer: (b) 24.5
Solution:

14. If P (P > 0) is the least possible number that must be subtracted from 7, 9, and 12 so that the resulting numbers are in continued proportion, then find the value of P²+ 1. [SSC MTS 29/10/2024 (Evening)]

Correct Answer: (a) 10
Solution:

15. Which of the following can be the value of 'k' so that the number 217924k is divisible by 6? [SSC CGL 09/09/2024 (1st Shift)]

Correct Answer: (c) 2
Solution:

16. Without doing the actual division, find the remainder when 28735429 is divided by 9. [SSC CGL 09/09/2024 (2nd Shift)]

Correct Answer: (a) 4
Solution:

17. If 7845K854 is divisible by 11, then what is the value of K? [SSC CGL 09/09/2024 (3rd Shift)]

Correct Answer: (b) 9
Solution:

18. Which of the following is the largest 5-digit number divisible by 47 ? [SSC CGL 10/09/2024 (1st Shift)]

Correct Answer: (c) 99969
Solution:

19. Akshay purchased pens and notebooks from a shop for a total sum of 180. From the following data, what is the value of "X" [SSC CGL 10/09/2024 (2nd Shift)]

Items Price per unit (in) ₹Quantity
Pens10X
Notebooks206
Correct Answer: (b) 6
Solution:

20. If (77⁷⁷ +77) is divided by 78, then the remainder will be: [SSC CGL 10/09/2024 (2nd Shift)]

Correct Answer: (a) 76
Solution: