Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 21 - 24 of 53

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Question number: 21

» 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: 22

» 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: 23

» 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

Question number: 24

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

Let XY be the diameter of a semicircle with centre O . Let A be a variable point on the semicircle and B another point on the semicircle such that AB is parallel to XY . The value of BOY for which the inradius of triangle AOB is maximum, is – (Model Paper)

Choices

Choice (4) Response
a.

sin1(512)

b.

cos1(512)

c.

π5

d.

π3

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