# Sequence and Series (KVPY 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 that. The maximum possible value of 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;

### Choices

Choice (4) Response

a.

b.

c.

d.

## 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.

b.

c.

d.

## 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 that. The maximum possible value of is,

### Choices

Choice (4) Response

a.

160

b.

320

c.

240

d.

510

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