Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 45 - 50 of 57

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Question number: 45

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

Appeared in Year: 2015

MCQ▾

Question

Suppose ABCDEF is a hexagon such that AB=BC=CD=1 and DE=EF=FA=2 . If the vertices A, B, C, D, E, F are concyclic, the radius of the circle passing through them is –

Choices

Choice (4) Response

a.

115

b.

2

c.

73

d.

52

Question number: 46

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Question

If log(3x1)(x2)=log(9x26x+1)(2x210x2) , then x equals –

Choices

Choice (4) Response

a.

2+5

b.

3+15

c.

65

d.

915

Question number: 47

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2015

MCQ▾

Question

The sides of a right –angled triangle are integers. The length of one of the sides is 12. The largest possible radius of the in-circle of such a triangle is –

Choices

Choice (4) Response

a.

3

b.

4

c.

5

d.

2

Question number: 48

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2015

MCQ▾

Question

Suppose a,b,c are positive integers such that 2a+4b+8c=328 . Then a+2b+3cabc is equal to –

Choices

Choice (4) Response

a.

58

b.

1724

c.

56

d.

12

Question number: 49

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Question

Let P(x) be a polynomial such that p(x)p(x)=xn , where n is a positive integer. Then p(0) equals –

Choices

Choice (4) Response

a.

1(n1)!

b.

1n!

c.

n!

d.

(n1)!

Question number: 50

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2015

MCQ▾

Question

Among all sectors of a fixed perimeter, choose the one with maximum area. Then the angle at the centre of this sector (i. e. , the angle between the bounding radii) is –

Choices

Choice (4) Response

a.

π3

b.

3

c.

32

d.

2

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