Number System (Part-4)​​​

Total Questions: 50

1. If a 9-digit number 937X728Y6 is divisible by 72, then one of the possible values of X+Y is: [Matriculation Level 24/06/2024 (Shift-4)]

Correct Answer: (a) 12
Solution:

2. A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 13. What is the value of the divisor? [Matriculation Level 25/06/2024 (Shift-1)]

Correct Answer: (a) 35
Solution:

3. If (5)⁵⁵ is divisible by 4, then the remainder is: [Matriculation Level 25/06/2024 (Shift-1)]

Correct Answer: (b) 1
Solution:

4. How many numbers less than 1,000 are multiples of both 7 and 11? [Matriculation Level 26/06/2024 (Shift-1)]

Correct Answer: (c) 12
Solution:

5. Which of the following numbers is divisible by 4. [Matriculation Level 26/06/2024 (Shift-1)]

(i) 67920598
(ii) 618703592
(iii) 618703594
(iv) 67920590

Correct Answer: (d) (ii)
Solution:

6. In a division surn, the divisor is 13 times the quotient and 6 times the remainder. If the remainder is 39, then the dividend is: [Higher Secondary 20/06/2024 (Shift-2)]

Correct Answer: (c) 4,251
Solution:

7. Which of the following numbers is divisible by 36? [Higher Secondary 21/06/2024 (Shift-2)]

Correct Answer: (c) 55512
Solution:

8. The number 1254216 in divisible by which of the following numbers? [Higher Secondary 21/06/2024 (Shift-2)]

Correct Answer: (a) 8
Solution:

9. Find the sum of 3+3²+3³+..........+3⁸. [Higher Secondary 24/06/2024 (Shift-2)]

Correct Answer: (a) 9840
Solution:

10. The number 2918245 is divisible by which of the following numbers? [Higher Secondary 25/06/2024 (Shift-2)]

Correct Answer: (c) 11
Solution: