KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 27 - 31 of 265

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Question number: 27

» Coordinate Geometry » Circles

Appeared in Year: 2011

MCQ▾

Question

Three circles each of radius 1, touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is

Choices

Choice (4) Response

a.

b.

4

c.

d.

Question number: 28

» Basic Mathematics » Arithmetic » Clocks

Appeared in Year: 2011

MCQ▾

Question

A certain 12-hour digital clock displays the hour and the minute of a day. Due to a defect in the clock whenever the digit 1 is supposed to be displayed it displays 7. What fraction of the day will the clock show the correct time?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 29

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2009

MCQ▾

Question

In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 10 and DC = 3 and the sides AB, BC and AC are integer, the inradius of ABC is

Choices

Choice (4) Response

a.

4

b.

5

c.

2

d.

3

Question number: 30

» Sequence and Series » Arithmetico - Geometric Progression

Appeared in Year: 2012

MCQ▾

Question

If a, b, c, d are positive real numbers such that, , then is

Choices

Choice (4) Response

a.

1

b.

c.

2

d.

All of the above

Question number: 31

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2014

MCQ▾

Question

Let a, b, c be non-zero real numbers such that a + b + c = 0; let and Then.

Choices

Choice (4) Response

a.

always

b.

always

c.

can take both positive and negative value

d.

always

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