KVPY (Kishore Vaigyanik Protsahan Yojana) 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.

b.

c.

d.

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.

b.

c.

d.

Question number: 72

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

MCQ▾

Question

Let p be a root of the equation. The value of is equal to

Choices

Choice (4) Response

a.

5

b.

6

c.

-5

d.

-6

Question number: 73

» Sequence and Series » N Terms of Special Series (Squares & Cubes)

Appeared in Year: 2014

MCQ▾

Question

The sum of all positive integers n for which

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.

b.

c.

d.

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