Number System (Part-4)​​​

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)]

(a) 12
(b) 8
(c) 9
(d) 5

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)]

(a) 35
(b) 37
(c) 25
(d) 30

Correct Answer: (a) 35

Solution:

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

(a) 5
(b) 1
(c) 3
(d) 2

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)]

(a) 13
(b) 11
(c) 12
(d) 10

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

(a) (i)
(b) (iii)
(c) (iv)
(d) (ii)

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)]

(a) 4,800
(b) 4,576
(c) 4,251
(d) 4,240

Correct Answer: (c) 4,251

Solution:

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

(a) 1542
(b) 96272
(c) 55512
(d) 8840

Correct Answer: (c) 55512

Solution:

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

(a) 8
(b) 11
(c) 5
(d) 16

Correct Answer: (a) 8

Solution:

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

(a) 9840
(b) 6561
(c) 6560
(d) 3280

Correct Answer: (a) 9840

Solution:

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

(a) 3
(b) 9
(c) 11
(d) 12

Correct Answer: (c) 11

Solution:

Number System (Part-4)​​​

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)]

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)]

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

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

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

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)]

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

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

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

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

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Number System (Part-4)