KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 34 - 38 of 172

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Question number: 34

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2011

MCQ▾

Question

Let [x] denote the largest integer not exceeding x and Equation . Then Equation is equal to –

Choices

Choice (4) Response

a.

2012x

b.

0

c.

2012

d.

1006

Question number: 35

» Permutations and Combinations » Simple Applications

Appeared in Year: 2010

MCQ▾

Question

The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided regular polygon is –

Choices

Choice (4) Response

a.

66

b.

15

c.

24

d.

30

Question number: 36

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2011

MCQ▾

Question

In triangle ABC, we are given that Equation and Equation . Then the measure of the angle C is –

Choices

Choice (4) Response

a.

600

b.

1500

c.

750

d.

300

Question number: 37

» Matrices and Determinants » Solution of Simultaneous Linear Equations in Two or Three Variables

Appeared in Year: 2010

MCQ▾

Question

Let A denote the matrix Equation , where Equation , and let I denote the identity matrix Equation . Then Equation is –

Choices

Choice (4) Response

a.

f has local minima at x = c, a and a local maximum at x = b

b.

f has local minima at x = a, b and a local maximum at x = c

c.

f has local minima at x = b, c and a local maximum at x = a

d.

All of the above

Question number: 38

» Trigonometry » Trigonometric Functions

Appeared in Year: 2010

MCQ▾

Question

The product Equation equals –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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