Sasi Math (Revised for 1024)

Scroll:Measurement >> Area & Circumference of Circle >> mcq (1826)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 13 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 189
2) 176
3) 41
4) 69

( )

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 27 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 44
2) 85
3) 41
4) 71

( )

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 48 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 118
2) 268
3) 151
4) 220

( )

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 17 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 53
2) 171
3) 66
4) 154

( )

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 10 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 132
2) 52
3) 31
4) 142

( )

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 3 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 69
2) 9
3) 66
4) 24

( )

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 50 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 157
2) 270
3) 120
4) 220

( )

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 11 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 44
2) 35
3) 55
4) 25

( )

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 44 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 198
2) 93
3) 154
4) 138

( )

10)

A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 33 cm of the wire was left over. Find the original length of the wire. (Take π = $\frac{22}{7).}$

1) 220
2) 104
3) 103
4) 253

( )

1) 176
2) 69
3) 41
4) 189

Answer: 4

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 56

= 176

where D = total diameter of 4 circles

Step 2: Original length of the wire: 176 + 13 = 189

1) 41
2) 71
3) 85
4) 44

Answer: 2

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 14

= 44

where D = total diameter of 4 circles

Step 2: Original length of the wire: 44 + 27 = 71

1) 220
2) 118
3) 151
4) 268

Answer: 4

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 70

= 220

where D = total diameter of 4 circles

Step 2: Original length of the wire: 220 + 48 = 268

1) 53
2) 66
3) 154
4) 171

Answer: 4

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 49

= 154

where D = total diameter of 4 circles

Step 2: Original length of the wire: 154 + 17 = 171

1) 132
2) 52
3) 31
4) 142

Answer: 4

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 42

= 132

where D = total diameter of 4 circles

Step 2: Original length of the wire: 132 + 10 = 142

1) 66
2) 24
3) 69
4) 9

Answer: 3

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 21

= 66

where D = total diameter of 4 circles

Step 2: Original length of the wire: 66 + 3 = 69

1) 220
2) 157
3) 120
4) 270

Answer: 4

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 70

= 220

where D = total diameter of 4 circles

Step 2: Original length of the wire: 220 + 50 = 270

1) 55
2) 44
3) 35
4) 25

Answer: 1

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 14

= 44

where D = total diameter of 4 circles

Step 2: Original length of the wire: 44 + 11 = 55

1) 154
2) 138
3) 93
4) 198

Answer: 4

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 49

= 154

where D = total diameter of 4 circles

Step 2: Original length of the wire: 154 + 44 = 198

10)

1) 253
2) 103
3) 104
4) 220

Answer: 1

SOLUTION 1 :

Step1: Total circumference of 4 circles = πD

= $\frac{22}{7}$ x 70

= 220

where D = total diameter of 4 circles

Step 2: Original length of the wire: 220 + 33 = 253