KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 132 - 135 of 172

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Question number: 132

» Statistics and Probability » Probability of an Event

Appeared in Year: 2015

MCQ▾

Question

Let Equation and let a subset Equation of Equation be chosen so that every pair of elements of A differ by at least 3. (For example, if Equation , A can be Equation , {2} or {1, 5} among others). When Equation let the probability that Equation be Equation and let the probability that Equation be Equation . Then –

Choices

Choice (4) Response

a.

Equation and Equation

b.

Equation and Equation

c.

Equation and Equation

d.

Equation and Equation

Question number: 133

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2015

MCQ▾

Question

Define a function Equation by Equation , where Equation is fixed natural number. Then

Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 134

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

Appeared in Year: 2015

MCQ▾

Question

Suppose Equation is a hexagon such that Equation and Equation . If the vertices A, B, C, D, E, F are concyclic, the radius of the circle passing through them is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 135

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Question

If Equation , then Equation equals –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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