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The remainder when 38^(15) is divided by...

The remainder when `38^(15)` is divided by 13 is

A

12

B

1

C

11

D

5

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FULL MARKS-SAMPLE PAPER 12-PART
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  2. lim(nto0)(1/n^(2)+2/n^(2)+3/n^(2)+...+n/n^(2)) is

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  3. The remainder when 38^(15) is divided by 13 is

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  4. If y=f(x^(2)+2) " and " f'(3)=5, " then " (dy)/(dx) at x=1 is

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  5. int tanxdx=

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  6. A, B and C try to hit a target simultaneously but independently. Their...

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  7. If A and B are any two events, then the probability that exactly one o...

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  8. Let X = {a, b,c,d}, and R = { (a,a) (b,b) (a,c)}. Write down the minim...

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  9. Simplify (1)/(2+sqrt3)+(3)/(4-sqrt5)+(6)/(7-sqrt8).

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  10. Find the value of cot15^(@).

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  11. Find the sum 1+4/5+7/(25)+(10)/(125)+ . ..

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  12. Examine whether the matrix ((1,4,9),(4,9,16),(9,16,25)) is singular or...

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  13. For any two vectors veca and vecb prove that |vecaxxvecb|^(2)+(veca*ve...

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  14. Find the derivative of x^(cosx) with respect to x.

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  15. Evaluate int(1)/(4-x^(2))dx.

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  16. The length of the perpendicular drawn from the origin to a line is 6 a...

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  17. Prove that sin 105^(@) + cos 105^(@) = cos 45^(@)

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  18. How many triangles can be formed by joining 15 points on the plane, in...

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  19. Find the equation of the locus of a point such that the sum of the squ...

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  20. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

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