Sequence and Series (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 1 - 6 of 15

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Question number: 1

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

Appeared in Year: 2011

MCQ▾

Question

The expression, Equation lies in interval

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Sequence and Series » Arithmetico - Geometric Progression

Appeared in Year: 2012

MCQ▾

Question

If a, b, c, d are positive real numbers such that, Equation , then Equation is

Choices

Choice (4) Response

a.

1

b.

Equation

c.

2

d.

All of the above

Question number: 3

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

Appeared in Year: 2010

MCQ▾

Question

The number of positive integers n in the set {1, 2, 3, …, 100} for which the number

Equation is an integer is

Choices

Choice (4) Response

a.

4

b.

6

c.

7

d.

14

Question number: 4

» Sequence and Series » Arithmetic Series

Appeared in Year: 2014

MCQ▾

Question

The value of,

Equation

Is equal to?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 5

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

Appeared in Year: 2014

MCQ▾

Question

The sum of all positive integers n for which

Equation

Is also an integer is

Choices

Choice (4) Response

a.

9

b.

Infinite

c.

8

d.

15

Question number: 6

» Sequence and Series » Arithmetico - Geometric Progression

Appeared in Year: 2013

MCQ▾

Question

Let a, b, c, d, e be natural numbers in an arithmetic progression such that a + b + c + d + e is the cube of an integer and b + c + d is square of an integer. The least possible value of the number of digits of c is.

Choices

Choice (4) Response

a.

5

b.

2

c.

4

d.

3

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