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

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## Question number: 27

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

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

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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