# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 80 - 82 of 172

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## Question number: 80

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

### Question

Let n be a positive integer such that,

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

### Choices

Choice (4) Response

a.

5 and 16

b.

4 and 17

c.

5 and 17

d.

4 and 16

## Question number: 81

Appeared in Year: 2014

MCQ▾

### Question

Let . A list of number has mean and standard deviation . A new list of numbers is made as follows: and for . The mean and the standard deviation of the list are and . Then which of the following is necessarily true?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 82

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

### Question

Let be the diameter of a semicircle with centre . Let A be a variable point on the semicircle and B another point on the semicircle such that is parallel to . The value of for which the inradius of triangle is maximum, is – (Model Paper)

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page