Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 21 - 24 of 57

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Question number: 21

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2012

MCQ▾

Question

Let (x, y) be a variable point on the curveEquation . Then Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 22

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2012

MCQ▾

Question

The number of ordered pairs (m, n), where Equation such that 6m + 9n is a multiple of 5 is –

Choices

Choice (4) Response

a.

500

b.

2500

c.

1250

d.

625

Question number: 23

» 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: 24

» 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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