Basic Mathematics-Arithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 13 - 17 of 25

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Question number: 13

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let be a positive integer such that

Let be the number of digits in the binary expansion of . Then the minimum and maximum possible values of are – (Model Paper)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 14

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

For each positive integer , let . Then the number of elements is for which is:

Choices

Choice (4) Response

a.

9

b.

11

c.

12

d.

10

Question number: 15

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

The number of integer with and containing at most two distinct digits is – (Model Paper)

Choices

Choice (4) Response

a.

324

b.

252

c.

280

d.

360

Question number: 16

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

If is a positive integer and is a cube root of unity, the number of possible values of

is –

Choices

Choice (4) Response

a.

6

b.

4

c.

2

d.

3

Question number: 17

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

Question

Let . The number of elements in S such that is divisible by 19 is –

Choices

Choice (4) Response

a.

18

b.

1

c.

38

d.

19

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