KVPY Stream-SA (Class 11) Math: Questions 70 - 74 of 265

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Question number: 70

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

MCQ▾

Question

The houses on one side of a road are numbered using consecutive even numbers. The sum of the numbers of all the houses in that row is 170. If there are at least 6 houses in that row and a is the number of the sixth house.

Choices

Choice (4) Response

a.

2a6

b.

8a12

c.

14a20

d.

22a30

Question number: 71

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

Let ABCD be a square and let P be point on segment CD such that DP: PC = 1: 2. Let Q be a point on segment AP such that ∠BQP = 90°. Then the ratio of the area of quadrilateral PQBC to the area of the square ABCD is.

Choices

Choice (4) Response

a.

4160

b.

3160

c.

3960

d.

3760

Question number: 72

» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients

MCQ▾

Question

Let p be a root of the equation x2+2x+3=0 . The value of (p+1)(p+2)(p+3) is equal to

Choices

Choice (4) Response

a.

5

b.

6

c.

-5

d.

-6

Question number: 73

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2014

MCQ▾

Question

The sum of all positive integers n for which

13+23++(2n)312+22++n2

Is also an integer is

Choices

Choice (4) Response

a.

9

b.

Infinite

c.

8

d.

15

Question number: 74

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

A semi-circle of diameter 1 unit sits at the top of a semi-circle of diameter 2 units. The shaded region inside the smaller semi-circle but outside the larger semi-circle is called a lune. The area of the lune is

Two semi-circle spheres

Two Semi-Circle Spheres

In figure a semi-circle of diameter 1 unit sits at the top of a semi-circle of diameter 2 units.

Choices

Choice (4) Response

a.

34π8

b.

34π12

c.

π634

d.

34π24

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