# Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 58 - 63 of 164

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## Question number: 58

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

### Question

Let ABCD be a square of side length 1. Let P, Q, R, S be points in the interiors of the sides AD, BC, AB, CD, respectively, such that PQ and RS intersect at right angles. If then RS equals –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 59

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

MCQ▾

### Question

In the figure given below, if the areas of the two regions are equal then which of the following is true?

### Choices

Choice (4) Response

a.

x = y

b.

x = 3y

c.

x = 2y

d.

2x = y

## Question number: 60

» Basic Mathematics » Arithmetic » Absolute Value

MCQ▾

### Question

The least positive integer n from which is.

### Choices

Choice (4) Response

a.

9

b.

7

c.

6

d.

8

## Question number: 61

» Basic Mathematics » Arithmetic » Solving Expressions

MCQ▾

### Question

Let p, q, r, s be real numbers such that|p – q|= 4, | q – r|= 6, | r – s|= 8. Then the sum of all possible values of|s – p|is –

### Choices

Choice (4) Response

a.

36

b.

24

c.

9

d.

18

## Question number: 62

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

A square ABCD is inscribed in a circle of radius 3. Two tangents to a circle at points A and B on the circle intersect at a point E. If AE = 4 then find the length of the sides of square.

### Choices

Choice (4) Response

a.

24

b.

12

c.

d.

## Question number: 63

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

### Question

Let P be an interior point of a triangle ABC. Let Q and R be the reflections of P in AB and AC, respectively. If Q, A, R are collinear then ∠A equals -

### Choices

Choice (4) Response

a.

900

b.

600

c.

300

d.

1200

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