Number System (Part-4)​​​

Total Questions: 50

11. 6²⁵+6²⁶+6²⁷+6²⁸ is divisible by: [Higher Secondary 25/06/2024 (Shift-2)]

Correct Answer: (b) 259
Solution:

12. If a car covers 90 km using 4 litres of petrol, how much distance (in km) will it cover using 32 litres of petrol? [Higher Secondary 25/06/2024 (Shift-4)]

Correct Answer: (a) 720
Solution:

13. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 12, then what is the dividend? [Higher Secondary 25/06/2024 (Shift-4)]

Correct Answer: (b) 372
Solution:

14. Which of the following numbers will completely divide 4¹²+4¹³+4¹⁴+4¹⁵ [Higher Secondary 25/06/2024 (Shift-4)]

Correct Answer: (a) 17
Solution:

4¹²+4¹³+4¹⁴+4¹⁵
⇒ 4¹² (1 + 4¹ + 4² + 4³)
⇒ 4¹² (1 + 4 + 16 + 64) ⇒ 4¹² (85)
85 is divisible by 17 and hence 17 is the answer.

15. Without actual division, find the remainder when 379843 is divided by 3. [Higher Secondary 26/06/2024 (Shift-2)]

Correct Answer: (b) 1
Solution:

16. If the six-digit number 15x1y2 is divisible by 44, then the minimum value of (x + y) is equal to:

Correct Answer: (d) 7
Solution:

17. If a 9-digit number 389x6378y is divisible by 72, then the value of 6x+7y is:

Correct Answer: (a) 64
Solution:

18. Which of the following numbers is divisible by 9? [Graduate Level 20/06/2024 (Shift-3)]

Correct Answer: (a) 553986
Solution:

19. The five-digit number 725yz is divisible by 15. What is the maximum possible value of the product of y and z ? [Graduate Level 21/06/2024 (Shift-3)]

Correct Answer: (d) 40
Solution:

20. If the 6 digit number 7002*4 is completely divisible by 8, then the smallest integer in place of * will be [Graduate Level 24/06/2024 (Shift-3)]

Correct Answer: (b) 2
Solution: