# Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 79 - 85 of 164

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## Question number: 79

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5, 6, 8, 9, 12 in some order. The ratio of the area of the pentagon to the area of the rectangle is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 80

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles:

What is the perimeter of each of the smaller rectangles?

### Choices

Choice (4) Response

a.

32

b.

38

c.

28

d.

19

## Question number: 81

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

### Question

In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 2 and DC = 3, the inradius of ABC is,

### Choices

Choice (4) Response

a.

1

b.

2

c.

3

d.

4

## Question number: 82

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

### Question

The largest non-negative integer p such that 12p divides 15! is

### Choices

Choice (4) Response

a.

5

b.

2

c.

4

d.

3

## Question number: 83

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2015

MCQ▾

### Question

The largest non-negative integer k such that 24k divides 13! is

### Choices

Choice (4) Response

a.

3

b.

5

c.

4

d.

2

## Question number: 84

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

### Question

For the number of 4-digit numbers of the form abab (in base 10), maximum prime number is –

### Choices

Choice (4) Response

a.

103

b.

37

c.

101

d.

97

## Question number: 85

» Basic Mathematics » Arithmetic » Rates

MCQ▾

### Question

A man in a train notices that he can count 26 telephone posts in one minute. If they are known to be 46 meter apart, they at what speed is the train travelling?

### Choices

Choice (4) Response

a.

b.

c.

d.

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