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A number divided by 13 leaves a remainde...

A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65?  16      (b) 18      (c) 28     (d) 40

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RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. When a certain positive integer P is divided by another positive integ...

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  2. Two numbers when divided by a certain divisor leave the remainders ...

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  3. A number divided by 13 leaves a remainder 1 and if the quotient, th...

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  4. The numbers 2272 and 875 are divided by a three- digit number N, gi...

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  5. A number when divided by three consecutive numbers 9, 11, 13 leaves...

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  6. After the division of a number successively by 3, 4 and 7, the rema...

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  7. A number is successively divided by 8, 7 and 3 giving residues 3, 4...

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  8. A number when divided by 3 leaves a remainder 1. When the quotient i...

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  9. When the square of any odd number, greater than 1, is divided by 8,...

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  10. The numbers from 1 to 29 are written side by side as follows:    1...

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  11. If 17^(200) is divided by 18, the remainder is 1 (b) 2 (c) 16 (d) ...

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  12. What is the remainder when 2^(31) is divided by 5? 1 (b) 2 (c) 3 (d...

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  13. Consider the following statements: 1. a^n+b^n is divisible by a+b\ if\...

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  14. (7^(19)+2) is divided by 6. The remainder is (a) 1 (b) 2 (c) 3 (d)...

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  15. If (10^(12)+25)^2-\ (10^(12)-25)^2=10^n , then the value of n is 5 ...

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  16. (3^(25)+3^(26)+3^(27)+3^(28)) is divisible by 11 (b) 16 (c) 25 (d)...

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  17. (4^(61)+4^(62)+4^(63)+4^(64)) is divisible by (a) 3 (b) 11 (c) 1...

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  18. (9^6+1) when divided by 8, would leave a remainder of 0 (b) 1 (c) ...

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  19. If n even, (6^n-1) is divisible by 6 (b) 30 (c) 35 (d) 37

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  20. If (12^n+1)\ is divisible by 13, then n is (a) 1 only (b) 12 only (c...

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