Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 57 - 62 of 164

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Question number: 57

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Let n > 1 be an integer. Which of the following sets of numbers necessarily contains a multiple of 3?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation then RS equals –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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?

Two regions having equal areas

Two Regions Having Equal Areas

In figure two regions are shown. x and y are the length of the sides.

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 Equation 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.

Equation

d.

Equation

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