MCQ

MCQ 11 Mark

Tick $(\checkmark)$ the correct answer in the following: If in the pie chart representing the number of students opting for different streams of study out of a total strength of $1650$ students, the central angle of the sector representing arts students is $48^\circ$ then what is the number of students who opted for arts stream?

✓
$220$
B
$240$
C
$275$
D
$320$

Answer

Correct option: A.

$220$

Let the required number of students be $x.$
Then we have:
$\Rightarrow\frac{\text{x}}{1650}\times48$
$\Rightarrow\text{x}=\Big(48\times\frac{\text{1650}}{360}\Big)$
$\Rightarrow\text{x}=220$
Hence, the number of students who opted for arts stream is $220.$

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MCQ 21 Mark

Tick $(\checkmark)$ the correct answer in the following: A man's monthly salary is $Rs. 2400$ and his monthly expenses on travel are $Rs. 250.$ The central angle of the sector representing travel expenses in the pie chart would be.

A
$30^\circ$
✓
$37\frac{1}{2}^{\circ}$
C
$45^\circ$
D
$60^\circ$

Answer

Correct option: B.

$37\frac{1}{2}^{\circ}$

Central angle of the sector representing travel expenses $=\Big(\frac{\text{value of expenses on travel}}{\text{monthly income}}\times360\Big)^\circ$
$=\Big(\frac{250}{2400}\times360\Big)^{\circ}$
$=37\frac{1}{2}^{\circ}$

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MCQ 31 Mark

Tick $(\checkmark)$ the correct answer in the following: If $35\%$ of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be.

A
$108^\circ$
B
$115^\circ$
✓
$126^\circ$
D
$135^\circ$

Answer

Correct option: C.

$126^\circ$

Central angle of the sector representing the sikh community $=\Big(\frac{\text{value(in%)of each community}}{\text{100}}\times360\Big)^\circ$
$=\Big(\frac{35}{100}\times360\Big)^{\circ}$
$=126^\circ$

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