# Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 52 - 56 of 57

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## Question number: 52

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2015

MCQ▾

### Question

The largest perfect square that divides is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 53

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Let . Then –

### Choices

Choice (4) Response

a.

b.

c.

is a rational number, but not an integer

d.

is an irrational number

## Question number: 54

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2016

MCQ▾

### Question

In a circle with centre , suppose are three points on its circumference such that is the mid – point of minor arc . Suppose when ,

If is doubled to , then the ratio is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 55

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2016

MCQ▾

### Question

Let ; let A and B be points respectively on axis and axis such that . Let be a point in the first quadrant such that is an equilateral triangle. Then the slope of is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 56

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2016

MCQ▾

### Question

The Polynomial equation has,

### Choices

Choice (4) Response

a.

three real roots for any , and exactly one real root for any

b.

exactly one real root for any real

c.

three real roots for any real

d.

three real roots for any , and exactly one real root for any

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