Sequence and Series (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 7 - 12 of 15

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Question number: 7

» Sequence and Series » Arithmetic Series

Appeared in Year: 2015

MCQ▾

Question

If n is the smallest natural number such that n + 2n + 3n + … + 99n is a perfect square, then the number of digits in n2 is

Choices

Choice (4) Response

a.

2

b.

1

c.

3

d.

more than 3

Question number: 8

» Sequence and Series » Relation Between AM and GM

MCQ▾

Question

Let p, q, r be three non-negative integers such thatEquation . The maximum possible value of Equation is,

Choices

Choice (4) Response

a.

520

b.

680

c.

690

d.

703

Question number: 9

» Sequence and Series » Arithmetic Series

MCQ▾

Question

If a1, a1, a1, …, an be an A. P. of non-zero terms, than;

Equation

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 10

» Sequence and Series » Arithmetic Series

MCQ▾

Question

The fifth term of an A. P. is equal to four times the first term and the twice ninth term exceeds three times the fourth term by one. The first term and common difference of A. P. are –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 11

» Sequence and Series » Arithmetic Series

MCQ▾

Question

If n is the smallest natural number such that n + 2n + 3n + … + 66n is a perfect square, then the value of n2 is –

Choices

Choice (4) Response

a.

4489

b.

36

c.

1089

d.

484

Question number: 12

» Sequence and Series » Relation Between AM and GM

MCQ▾

Question

Let m, n, o be three non-negative integers such thatEquation . The maximum possible value of Equation is,

Choices

Choice (4) Response

a.

160

b.

320

c.

240

d.

510

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