KVPY Stream-SA (Class 11) Math: Questions 39 - 41 of 251

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Question number: 39

» Basic Mathematics » Arithmetic » Rates

Appeared in Year: 2012

MCQ▾

Question

Two workers A and B are engaged to do a piece of work. Working alone, A takes 8 hours more to complete the work than if both worked together. On the other hand, working alone, B would need 412 hours more to complete the work than if both worked together. How much time would they take to complete the job working together?

Choices

Choice (4) Response
a.

6 Hours

b.

4 Hours

c.

7 Hours

d.

5 Hours

Question number: 40

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

On the circle with center O, points A, B are such that OA = AB. A point C is located on the tangent at B to the circle such that A and C are on the opposite sides of the line OB and AB = BC. The line segment AC intersects the circle again at F. Then the ratio ∠BOF: ∠BOC is equal to:

Circle with center O and points A, B, F lie on the circle

Circle With Center O and Points a, B, F Lie on the Circle

In figure on circle with center O, points A and B are such that OA = AB. A point C is located tangent at B to the circle such that A and C are on the opposite side of the line OB and AB = BC.

The line segment AC intersects the circle again at F.

Choices

Choice (4) Response
a.

1: 2

b.

4: 5

c.

2: 3

d.

3: 4

Question number: 41

» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots

MCQ▾

Question

Let p, q, r be non-zero real numbers such that pq+qr+rp=10 and qp+rq+pr=12 , then p3q3+q3r3+r3p33 is equal to,

Choices

Choice (4) Response
a.

553

b.

550

c.

640

d.

654

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