KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 64 - 68 of 155

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 155 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

Question number: 64

» 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: 65

» Coordinate Geometry » Conic Sections

Appeared in Year: 2012

MCQ▾

Question

Consider the conic ex2+πy22e2x2π2y+e3+π3=πe . Suppose P is any point on the conic and S1, S2 are the foci of the conic, then the maximum value of (PS1+PS2) is

Choices

Choice (4) Response

a.

2e

b.

πe

c.

2π

d.

πe

Question number: 66

» 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: 67

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2012

MCQ▾

Question

The mid-point of the domain of the function f(x)=42x+5 for real x is –

Choices

Choice (4) Response

a.

14

b.

25

c.

32

d.

23

Question number: 68

» Statistics and Probability » Probability of an Event

Appeared in Year: 2012

MCQ▾

Question

A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly and a coin is taken out of it. What is the probability that is a copper coin –

Choices

Choice (4) Response

a.

3170

b.

2770

c.

13

d.

4170

Sign In