# Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 21 - 24 of 57

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## Question number: 21

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2012

MCQ▾

### Question

Let (x, y) be a variable point on the curve. Then is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 22

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2012

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

500

b.

2500

c.

1250

d.

625

## Question number: 23

» 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: 24

» 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