Basic Mathematics-Arithmetic (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 11 - 14 of 24

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Question number: 11

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2012

MCQ▾

Question

The number of ordered pairs (m, n), where m,n{1,2,350}, such that 6m + 9n is a multiple of 5 is –

Choices

Choice (4) Response
a.

500

b.

2500

c.

1250

d.

625

Question number: 12

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let n be a positive integer such that,

log2log2log2log2log2(n)<0<log2log2log2log2(n).

Let l be the number of digits in the binary expansion of n. Then the minimum and the maximum possible value of l are,

Choices

Choice (4) Response
a.

5 and 16

b.

4 and 17

c.

5 and 17

d.

4 and 16

Question number: 13

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let n be a positive integer such that

log2log2log2log2log2(n)<0<log2log2log2log2(n)

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

Choices

Choice (4) Response
a.

5and17

b.

3and257

c.

16and256

d.

1and17

Question number: 14

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

For each positive integer n , let An=max{(nr) 0r<n} . Then the number of elements n is {1, 2,3,20} for which 1.9AnAn12 is:

Choices

Choice (4) Response
a.

9

b.

11

c.

12

d.

10

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