Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 51 - 53 of 53

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Question number: 51

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2015

MCQ▾

Question

A mirror in the first quadrant is in the shape of a hyperbola whose equation is xy=1 . A light source in the second quadrant emits a beam of light that hits the mirror at the points (2,12) . If the reflected ray is parallel to the y axis, the slope of the incident beam is –

Choices

Choice (4) Response

a.

158

b.

138

c.

2

d.

74

Question number: 52

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2015

MCQ▾

Question

The largest perfect square that divides 2014320133+2012320113++2313 is –

Choices

Choice (4) Response

a.

10072

b.

20142

c.

22

d.

12

Question number: 53

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Question

Let x=(50+7)13(507)13 . Then –

Choices

Choice (4) Response

a.

x=3

b.

x=2

c.

x is a rational number, but not an integer

d.

x is an irrational number

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