KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 77 - 80 of 155

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Question number: 77

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2012

MCQ▾

Question

Let (x, y) be a variable point on the curve 4x2+9y28x36y+15=0 . Then min(x22x+y24y+5)+max(x22x+y24y+5) is –

Choices

Choice (4) Response
a.

32536

b.

1325

c.

36325

d.

2513

Question number: 78

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2012

MCQ▾

Question

The number of ordered pairs (m, n), where m,n{1,2,350}, such that 6m + 9n is a multiple of 5 is –

Choices

Choice (4) Response
a.

500

b.

2500

c.

1250

d.

625

Question number: 79

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2013

MCQ▾

Question

Let f(x)=2xx2 and g(x)=cosx . Which of the following statements are true?

(i) Domain of f((g(x))2) = Domain of f(g(x))

(ii) Domain of f(g(x))+g(f(x)) = Domain of g(f(x))

(iii) Domain of f(g(x)) = Domain of g(f(x))

(iv) Domain of g((f(x))3) = Domain of f(g(x))

Choices

Choice (4) Response
a.

Only (i) and (iv)

b.

Only (i)

c.

Only (iii) and (v)

d.

Only (i) and (ii)

Question number: 80

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let n be a positive integer such that,

log2log2log2log2log2(n)<0<log2log2log2log2(n).

Let l be the number of digits in the binary expansion of n. Then the minimum and the maximum possible value of l are,

Choices

Choice (4) Response
a.

5 and 16

b.

4 and 17

c.

5 and 17

d.

4 and 16

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