BITSAT Mathematics: Questions 53 - 60 of 348

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Question number: 53

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x)=(axn)1n , when a>0 and nN , then fοf(x) is equal to –

Choices

Choice (4) Response

a.

an

b.

x

c.

a

d.

xn

Question number: 54

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If (33+5)2n+1=p+f , where p is an integer and f is a proper fraction, then f(p+f) is equal to –

Choices

Choice (4) Response

a.

32n+1

b.

22n+1

c.

5n+1

d.

All of the above

Question number: 55

» Coordinate Geometry » Conditions for Concurrence of Three Lines

MCQ▾

Question

The lines x+2y9=0 , 3x+5y5=0 and ax+by1=0 are concurrent. If 35x22y+1=0 passes through the point –

Choices

Choice (4) Response

a.

(b,a)

b.

(a,b)

c.

(a,b)

d.

(a,b)

Question number: 56

» Basic Mathematics » Algebra » Simplifying Expressions

MCQ▾

Question

(1+x)nnx1 is divisible by –

Choices

Choice (4) Response

a.

x3

b.

x4

c.

x

d.

x2

Question number: 57

» Matrices and Determinants » Adjoint and Evaluation of Inverse of Square Matrix

MCQ▾

Question

The inverse of a symmetric matrix is –

Choices

Choice (4) Response

a.

Skew – symmetric

b.

Symmetric

c.

Diagonal matrix

d.

Question does not provide sufficient data or is vague

Question number: 58

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x)= x2 and g(x)=f(f(x)) , then for x>20,g(x) equals –

Choices

Choice (4) Response

a.

1

b.

1

c.

0

d.

None of the above

Question number: 59

» Basic Mathematics » Arithmetic » Exponents, Roots and Logarithms

MCQ▾

Question

5log416 equals

Choices

Choice (4) Response

a.

20

b.

10

c.

5

d.

36

Question number: 60

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

MCQ▾

Question

If a polygon has 44 diagonals, then the number of its sides is

Choices

Choice (4) Response

a.

8

b.

7

c.

9

d.

11

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