Basic Mathematics-Arithmetic (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 15 - 19 of 24

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Question number: 15

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

The number of integer n with 100n999 and containing at most two distinct digits is – (Model Paper)

Choices

Choice (4) Response

a.

324

b.

252

c.

280

d.

360

Question number: 16

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

If n is a positive integer and ω1 is a cube root of unity, the number of possible values of

ek=0n(nk)ωk

is –

Choices

Choice (4) Response

a.

6

b.

4

c.

2

d.

3

Question number: 17

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

Question

Let S={(a,b)/a,bZ,0a,b18} . The number of elements (x,y) in S such that 3x+4y+5 is divisible by 19 is –

Choices

Choice (4) Response

a.

18

b.

1

c.

38

d.

19

Question number: 18

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

Question

For a real number r we denote by [r] the largest integer less than or equal to r . If x,y are real number with x,y1 , then which of the following statement is always true?

Choices

Choice (4) Response

a.

[x+y][x]+[y]

b.

[xy][x][y]

c.

[2x]2[x]

d.

[xy][x][y]

Question number: 19

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

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

k=1n(ak2+bk+c)=n3

For every natural number n . Then a + b + c is equal to – (Model Paper)

Choices

Choice (4) Response

a.

3

b.

15

c.

7

d.

12

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