KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 139 - 144 of 265

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Question number: 139

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5,6, 8,9, 12 in some order. The ratio of the area of the pentagon to the area of the rectangle is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 140

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles:

A rectangle divided in to 7 congruent rectangles

A Rectangle Divided in to 7 Congruent Rectangles

In figure a rectangle of perimeter 76 unit is divided in to 7 congruent rectangles.

What is the perimeter of each of the smaller rectangles?

Choices

Choice (4) Response

a.

32

b.

38

c.

28

d.

19

Question number: 141

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

Let f (x) be a quadratic polynomial with and . 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 that. The maximum possible value of 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

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