KVPY Stream-SA (Class 11) Math: Questions 120 - 124 of 251

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Question number: 120

» 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: 121

» Permutations and Combinations » Simple Applications

MCQ▾

Question

Calculate the numbers of ways to arrange the letters of the word REGULATION so that all the following three conditions hold?

1. the vowels occur in the same order (EUAIO)

2. the consonants occur in the same order (RGLTN)

3. two consonants are not arranged next to each other

Choices

Choice (4) Response

a.

15

b.

6

c.

8

d.

9

Question number: 122

» 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.

245

d.

125

Question number: 123

» 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

Question number: 124

» Basic Mathematics » Arithmetic » Solving Expressions

MCQ▾

Question

If α, β, γ and θ are positive real numbers such that,

α12=α+θ14=α+θ+β16=α+β+γ+θ18 , then find the value of, 2θα+5β+6γ

Choices

Choice (4) Response

a.

1613

b.

173

c.

217

d.

115

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