Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 16 - 20 of 57

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Question number: 16

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

The angle α, β, γ of a triangle satisfy the equation 2sinα+3cosβ=32 and 3sinβ+2cosα=1 . Then angle γ equals –

Choices

Choice (4) Response

a.

600

b.

1200

c.

1500

d.

300

Question number: 17

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let a, b, c, d be real numbers such that,

k=1n(ak3+bk2+ck+d)=n4

For every natural number n. Then|a|+| b|+| c|+| d|is equal to –

Choices

Choice (4) Response

a.

31

b.

16

c.

15

d.

32

Question number: 18

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2012

MCQ▾

Question

Suppose two perpendicular tangents can be drawn from the origin to the circle x2+y26x2py+17=0, for some real p. Then p is equal to –

Choices

Choice (4) Response

a.

17

b.

5

c.

3

d.

0

Question number: 19

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2012

MCQ▾

Question

Suppose a1, a2, a3, …, a2012 are integers arranged on a circle. Each number is equal to the average of its two adjacent numbers. If the sum of all even indexed numbers is 3018, what is the sum of all numbers?

Choices

Choice (4) Response

a.

1509

b.

3018

c.

6036

d.

0

Question number: 20

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2012

MCQ▾

Question

The maximum value M of 3x+5x9x+15x25x , as x varies over real, satisfies –

Choices

Choice (4) Response

a.

3<M<5

b.

9 < M < 25

c.

0<M<2

d.

5<M<9

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