Sequence and Series (KVPY Stream-SA (Class 11) Math): Questions 13 - 15 of 15

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Question number: 13

» Sequence and Series » Arithmetic Series

MCQ▾

Question

If n is the largest natural number such that n + 2n + 3n + … + 70n is a perfect square, then the value of n is –

Choices

Choice (4) Response

a.

497

b.

490

c.

520

d.

637

Question number: 14

» Sequence and Series » Arithmetic Series

MCQ▾

Question

The value of,

n=0185912n+21859

Is equal to?

Choices

Choice (4) Response

a.

185821857

b.

46521857

c.

185921857

d.

46521949

Question number: 15

» Sequence and Series » Relation Between AM and GM

MCQ▾

Question

Let a, b, c be three non-negative integers such that a+b+c=27 . The maximum possible value of abc+ab+bc+ac is,

Choices

Choice (4) Response

a.

955

b.

965

c.

975

d.

985

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