KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 141 - 148 of 265

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Question number: 141

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

Let f (x) be a quadratic polynomial with Equation and Equation . Then the coefficient of x in f (x) is,

Choices

Choice (4) Response

a.

2

b.

3

c.

1

d.

4

Question number: 142

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 2 and DC = 3, the inradius of ABC is,

Choices

Choice (4) Response

a.

1

b.

2

c.

3

d.

4

Question number: 143

» Sequence and Series » Relation Between AM and GM

MCQ▾

Question

Let p, q, r be three non-negative integers such thatEquation . The maximum possible value of Equation is,

Choices

Choice (4) Response

a.

520

b.

680

c.

690

d.

703

Question number: 144

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

The largest non-negative integer p such that 12p divides 15! is

Choices

Choice (4) Response

a.

5

b.

2

c.

4

d.

3

Question number: 145

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2015

MCQ▾

Question

The largest non-negative integer k such that 24k divides 13! is

Choices

Choice (4) Response

a.

3

b.

5

c.

4

d.

2

Question number: 146

» Coordinate Geometry » Distance Formula

MCQ▾

Question

The centre of a circle passing through the points (5, -3), (4, -5) and (2, 0) is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 147

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

For the number of 4-digit numbers of the form abab (in base 10), maximum prime number is –

Choices

Choice (4) Response

a.

103

b.

37

c.

101

d.

97

Question number: 148

» Basic Mathematics » Arithmetic » Rates

MCQ▾

Question

A man in a train notices that he can count 26 telephone posts in one minute. If they are known to be 46 meter apart, they at what speed is the train travelling?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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