Sequence and Series (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 6 of 9

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Question number: 1

» Sequence and Series » Geometric Progressions

Appeared in Year: 2011

MCQ▾

Question

Suppose n is a natural number such that where is the square root of – 1. Then n is –

Choices

Choice (4) Response

a.

18

b.

9

c.

36

d.

72

Question number: 2

» Sequence and Series » Arithmetico - Geometric Progression

Appeared in Year: 2011

MCQ▾

Question

The minimum value of n for which

Choices

Choice (4) Response

a.

Is 101

b.

Is 121

c.

Is 151

d.

All of the above

Question number: 3

» Sequence and Series » Geometric Progressions

Appeared in Year: 2010

MCQ▾

Question

The number of natural numbers n in the interval [500, 2010] for which the polynomial divides the polynomial is –

Choices

Choice (4) Response

a.

1006

b.

503

c.

100

d.

0

Question number: 4

» Sequence and Series » Geometric Progressions

Appeared in Year: 2010

MCQ▾

Question

Suppose the sides of a triangle form a geometric progression with common ratio r. Then r lies in the interval –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 5

» Sequence and Series » Arithmetic Series

Appeared in Year: 2012

MCQ▾

Question

Define a sequence by for . Then

Choices

Choice (4) Response

a.

Equals

b.

Equals

c.

Equals 1

d.

None of the above

Question number: 6

» Sequence and Series » N Terms of Special Series (Squares & Cubes)

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

c.

d.

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