Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 23 - 26 of 57

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Question number: 23

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let n be a positive integer such that,

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

Choices

Choice (4) Response

a.

5 and 16

b.

4 and 17

c.

5 and 17

d.

4 and 16

Question number: 24

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 25

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

Suppose a parabola has two intercepts one positive and one negative, and its vertex is . Then which of the following is true –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 26

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let be a positive integer such that

Let be the number of digits in the binary expansion of . Then the minimum and maximum possible values of are – (Model Paper)

Choices

Choice (4) Response

a.

b.

c.

d.

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