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The remainder of (39^(93!))/(40) is :...

The remainder of `(39^(93!))/(40)` is :

A

0

B

1

C

39

D

13

Text Solution

Verified by Experts

`because a^n/a+1` gives remainder 1, when n is even,Now since 93! is an even number,hence the remainder is 1. Thus (b) is the correct choice.
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QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. The remainder of 2^243/3^2 is :

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  2. The remainder when (3)^671 is divided by 80 :

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  3. The remainder of (39^(93!))/(40) is :

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  4. The remaider of (2^(59!))/(255) is :

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  5. Find the last two digits of 64^81

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  6. If x+1/x=2,then the value of x^2+1/x^2 is :

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  7. If a=24, b=26, c=28, then the value of a^2+b^2+c^2-ab-bc-ac will be :

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  8. If (a^2+b^2)^3=(a^3+b^3)^2 and ab ne0 then (a/b+b/a)^6 is equal to :

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  9. If x-y=1,then the value of x^3-y^3-3xy will be :

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  10. If x=1234,y=4321,z=-5555,what is the value of x^2 /( y z)+y^2/(zx)+z^2...

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  11. Find the remainder when 2^0+2^1+2^2+...+2^255 is divided by 255.

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  12. Among the expression (1 - 3p), [1 - (3P)^(2)], [1 - (3P)^(3)] and [1 -...

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  13. The remainder when x^4-y^4 is divided by x-y is :

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  14. If x-1/x=2, then the value of x^4+1/x^4 is :

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  15. If the sum and the product of two numbers are 25 and 144 respectively ...

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  16. The sum of two numbers is 9 and the sum of their squares is 41.The num...

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  17. The square root of 625

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  18. The value of ((119)^2 + (119)(111) + (111)^2)/((119)^3 - (111)^3) is :

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  19. Simplify : ((1.5)^(3)+(4.7)^(3)+(3.8)^(3)-3xx1.5xx4.7xx3.8)/((1.5)^(2)...

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  20. Simplified value of (8.73 xx 8.73 xx 8.73 + 4.27 xx 4.27 xx 4.27)/(8.7...

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