# Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 9 - 12 of 164

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## Question number: 9

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2012

MCQ▾

### Question

In a triangle ABC, it is known that AB = AC. Suppose D is the mid-point of AC and BD = BC = 2. Then the area of the triangle ABC, is.

### Choices

Choice (4) Response

a.

b.

c.

2

d.

## Question number: 10

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2010

MCQ▾

### Question

The sides of a triangle ABC are positive integers. The smallest side has length 1. Which of the following statement is true?

### Choices

Choice (4) Response

a.

The area of ABC is always an irrational number

b.

The area of ABC is always a rational number

c.

The information provided is not sufficient to conclude any of the statements A, B or C above

d.

The perimeter of ABC is an even integer

## Question number: 11

» 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 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: 12

» 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:

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

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