Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 25 - 28 of 53

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Question number: 25

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

Suppose a parabola y=ax2+bx+c has two x intercepts one positive and one negative, and its vertex is (2,2) . Then which of the following is true –

Choices

Choice (4) Response

a.

ab>0

b.

bc>0

c.

ca>0

d.

a+b+c>0

Question number: 26

» 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 p . Then the minimum and maximum possible values of l are – (Model Paper)

Choices

Choice (4) Response

a.

5and17

b.

3and257

c.

16and256

d.

1and17

Question number: 27

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

The under of integers n for which 3x225x+n=0 has three real roots is –

Choices

Choice (4) Response

a.

Infinite

b.

55

c.

1

d.

25

Question number: 28

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

For each positive integer n , let An=max{(nr) 0r<n} . Then the number of elements n is {1, 2,3,20} for which 1.9AnAn12 is:

Choices

Choice (4) Response

a.

9

b.

11

c.

12

d.

10

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