1. If number 4696×24 is divisible by 9 then find the value of x.
2. When 235 is added to 6×9, the result is 8y4. If 8y4 is divisible by 3, what is the largest possible value of x ?
3. If 6823x is divisible by 11, find the value of x.
4. Both the end digit of a 99 digit number N are 3. If N is divisible by 11 then which one of the following can be middle digit.
(i) 3 (ii) 4 (iii) 5 (iv) 6
5. Both the end digits of a 100 digit number N are 3. N is divisible by 11. Then which one of the following can be any digit.
(i) 3 (ii) 4 (iii) Any digit (iv) 5
6. (2⁸¹ + 2⁸² + 2⁸³ + 2⁸⁴) is divisible by
(i) 13 (ii) 9 (iii) 10 (iv) 11
7. A 4-digit number is formed by repeating a 2-digit number such as 2828, 5252 etc. Any number of this form is exactly divisible by:
(i) 9 only (ii) 11 only (iii) 13 only (iv) smallest prime number of 3 digit
8. A 8-digit number is formed by repeating a four digit number; for example 25892589, 87618761 etc. Any number of t his form is always exactly divisible by
(i) 7 only (ii) 11 only (iii) 13 only (iv) 10001
9. Which of the following number will always divide a six digit number ababab when 1 ≤ a ≤ 9 & 1 ≤ b ≤ 9
(i) 101 (ii) 10101 (iii) 1001 (iv) 11010
10. The divisor is 28 times the quotient and 4 times the remainder. If the quotient is 12, Find the dividend.