Sequence and Series-Sum Upto N Terms of Special Series (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 3 of 3

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Question number: 1

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2014

MCQ▾

Question

Let Equation be an integer. For a permutation Equation of Equation we let Equation . Let Equation be the sum of the roots of Equation and let Equation denote the sum over all permutation Equation of Equation of the number Equation . Then

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2014

MCQ▾

Question

Let Equation be a circle of radius 1. For Equation , let Equation be a circle whose area equals the area of a square inscribed in Equation . Then

Equation

Equals to: -

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2013

MCQ▾

Question

For an integer Equation let Equation . Which of the following is true for all Equation ? (Model Paper)

Choices

Choice (4) Response

a.

Equation has at least four multiples of 5

b.

Equation has a prime

c.

Equation has at most six primes

d.

Equation has a multiple of 19

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