KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 80 - 82 of 172

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Question number: 80

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let n be a positive integer such that,

Equation

Let Equation be the number of digits in the binary expansion of n. Then the minimum and the maximum possible value of Equation are,

Choices

Choice (4) Response

a.

5 and 16

b.

4 and 17

c.

5 and 17

d.

4 and 16

Question number: 81

» Statistics and Probability » Standard Deviation

Appeared in Year: 2014

MCQ▾

Question

Let Equation . A list of number Equation has mean Equation and standard deviation Equation . A new list of numbers Equation is made as follows: Equation and Equation for Equation . The mean and the standard deviation of the list are Equation and Equation . Then which of the following is necessarily true?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 82

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

Let Equation be the diameter of a semicircle with centre Equation . Let A be a variable point on the semicircle and B another point on the semicircle such that Equation is parallel to Equation . The value of Equation for which the inradius of triangle Equation is maximum, is – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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