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The number of terms free from radical si...

The number of terms free from radical sign in the expansion of `(1+3^(1//3)+7^(1//7))^(10)` is:

A

1

B

6

C

11

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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MODERN PUBLICATION-BINOMIAL THEOREM-MCQ.s (LEVEL-II)
  1. If 7 divides 32^(32^(32)), the remainder is:

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  2. The number of terms free from radical sign in the expansion of (1+3^(1...

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  3. The number of irrational terms in the expansion of (root(8)(5)+root(6)...

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  4. The number of rational terms in the expansion of (1+sqrt(2)+root(3)(3)...

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  5. If x+y=1, then sum(r=0)^(n)r^(2)""^(n)C(r)x^(r)y^(n-r) equals:

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  6. If n is a positive integer, which of the following two will always be ...

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  7. The value of x for which the sixth term in the expansion of [2^(log(...

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  8. If the third term in (x+x^(log(10)x))^(5), is 10^(6), then x may be:

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  9. If the 6th term in the expansion of ((1)/(x^(8//3))+x^(2)log(10)x)^(8)...

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  10. If three consecutive coefficients in the expansion of (1+x)^(n) are in...

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  11. For integer ngt1, the digit at unit's place in the number sum(r=0)^(10...

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  12. The digit at unit's place in 2^(9^(100)) is:

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  13. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of x and x^...

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  14. The coefficient of x^(53) in the expansion of: sum(m=0)^(100)""^(100...

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  15. The coefficient of x^(4) in the expansion of : (1+x+x^(2)+x^(3))^(n)...

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  16. In the expansion of (1+x+x^(3)+x^(4))^(4), the coefficient of x^(4) is...

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  17. If the sum of the coefficient in the expansion of (alpha^(2)x^(2)-2alp...

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  18. If (3sqrt(3)+5)^(2n+1)=p+f, where p is an integer and f is a proper fr...

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  19. The larger of 99^(50)+100^(50) and 101^(50) is:

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  20. Find the value of x in the expansion of [x+x^(log(10)x)]^(5), if the t...

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