# Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 17 - 21 of 164

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## Question number: 17

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

### Question

Suppose S1 and S2 are two unequal circles; AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB in R and CD in S. If AB = 10, then RS is

### Choices

Choice (4) Response

a.

9

b.

8

c.

11

d.

10

## Question number: 18

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

### Question

In a triangle ABC with ∠A = 90°, P is a point on BC such that PA: PB = 3: 4. If and , then BP: PC is.

### Choices

Choice (4) Response

a.

8: 7

b.

4: 3

c.

4: 5

d.

2: 1

## Question number: 19

» Basic Mathematics » Algebra » Solving Equations

Appeared in Year: 2009

MCQ▾

### Question

The number of pairs of reals (x, y) such that and is

### Choices

Choice (4) Response

a.

4

b.

2

c.

3

d.

1

## Question number: 20

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2013

MCQ▾

### Question

A person X is running around a circular track completing one round every 40 seconds. Another person Y running in the opposite direction meets X every 15 second. The time, expressed in seconds, taken by Y to complete one round is

### Choices

Choice (4) Response

a.

55

b.

12.5

c.

25

d.

24

## Question number: 21

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2012

MCQ▾

### Question

The sides of a triangle are distinct positive integers in an arithmetic progression. If the smallest side is 10, the number of such triangles is

### Choices

Choice (4) Response

a.

10

b.

9

c.

8

d.

infinitely many

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