KVPY Stream-SA (Class 11) Math: Questions 158 - 164 of 251

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Question number: 158

» Basic Mathematics » Arithmetic » Solving Expressions

MCQ▾

Question

For 5x+8<2x7 , maximum possible value of x (xϵZ) is –

Choices

Choice (4) Response
a.

-3

b.

-8

c.

-5

d.

-4

Question number: 159

» Basic Mathematics » Geometry » Circle and Properties

MCQ▾

Question

In the given figure, ∠NPM = 310 and ∠PMN = 640 then ∠POM is equal to –

A circle passing through points M, N, O, P

A Circle Passing Through Points M, N, O, P

In figure a circle passing through points M, N, O and P. (angle) NPM = 31 degree and (angle) PMN = 64 degree.

Choices

Choice (4) Response
a.

850

b.

800

c.

620

d.

700

Question number: 160

» Basic Mathematics » Geometry » Circle and Properties

MCQ▾

Question

The lengths of two parallel chords of a circle are 24 cm and 10 cm. If the smaller chord is at distance 12 cm from the centre, then the distance of the other chord from the centre is –

Choices

Choice (4) Response
a.

9

b.

12

c.

5

d.

10

Question number: 161

» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients

MCQ▾

Question

If the roots of the equation 3x2+px+q=0 are reciprocals to each other, then value of q is –

Choices

Choice (4) Response
a.

2

b.

4

c.

9

d.

3

Question number: 162

» Sequence and Series » Arithmetic Series

MCQ▾

Question

If n is the smallest natural number such that n + 2n + 3n + … + 66n is a perfect square, then the value of n2 is –

Choices

Choice (4) Response
a.

4489

b.

36

c.

1089

d.

484

Question number: 163

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Roots of equation: 17+x=13+14+1x are –

Choices

Choice (4) Response
a.

1, -3

b.

-3, -4

c.

-1, 3

d.

3, 4

Question number: 164

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

In the given figure, ABC is an equilateral triangle whose side is 6 cm. A circle is drawn which passes through the midpoints D, E and F of its sides. The area of the shaded region is –

A equilateral triangle ABC with mid points of sides D, E, F

A Equilateral Triangle ABC With Mid Points of Sides D, E, F

In figure a circle passing through mid points (D, E and F) of the sides of the equilateral triangle ABC.

Choices

Choice (4) Response
a.

34(π33)cm2

b.

32(4π33)cm2

c.

32(π33)cm2

d.

34(4π33)cm2

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