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Find the sum of all the numbers of the f...

Find the sum of all the numbers of the form `n^3` which lie between 100 and 10000.

A

53214

B

53321

C

53261

D

53361

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 4 (MULTIPLE CHOICE QUESTIONS)
  1. Sum of n terms of the series 1 + (1 + 3) + (1 + 3 + 5)+… is

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  2. 1.2.3 + 2.3.4 + 3.4.5 +…n terms is (n (n + 1) (n + 2) (n + 3))/(P) whe...

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  3. Find the sum of all the numbers of the form n^3 which lie between 100 ...

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  4. If the sum of n natural numbers is one-third the sum of their cubes th...

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  5. If the sum of first n natural numbers is one-fifth of the sum of their...

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  6. If sum n = 210, then sum n^(2) =

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  7. If f : R rarr R satisfies f(x + y) = f(x) + f(y) x, y in R and f(1) = ...

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  8. If the sum of n terms of an A.P. is an(n - 1), then sum of squares of ...

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  9. Balls are arranged in rows to form an equilateral triangle. The first ...

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  10. Sum of n terms the series : 1^2-2^2+3^2-4^2+5^2-6^2+

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  11. The sum of the series: 1/((log)2 4)+1/((log)4 4)+1/((log)8 4)++1/((log...

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  12. The sum of the series (1)/(3 xx 7) + (1)/(7 xx 11) + (1)/(11 xx 15)+… ...

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  13. If (1^2-t1)+(2^2-t2)++(n^2-tn)+=(n(n^2-1))/3 , then tn is equal to n^2...

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  14. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

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  15. If the sum of n terms of an A.P is cn (n-1)where c ne 0 then the sum o...

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  16. The sum of all the products of the first n(+) ive integers taken two a...

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  17. The value of the expression (1+1/omega)(1+1/omega^(2))+(2+1/omega)(2+...

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  18. The value of the expression 2 (1 + omega) (1 + omega^(2)) + 3(2 omega ...

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  19. The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omeg...

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  20. For and odd integer n ge 1, n^(3) - (n - 1)^(3) + …… + (- 1)^(n-1) ...

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