Question

What is the total number of marks secured by the student in all the subjects put together?

• A. \(360\)
• B. \(450\)
• C. \(540\)
• D. \(720\)
• A. \(108\)
• B. \(114\)
• C. \(120\)
• D. \(136\)
• A. \(2:3\)
• B. \(3:4\)
• C. \(4:5\)
• D. \(5:6\)
• A. \(15\)
• B. \(20\)
• C. \(25\)
• D. \(30\)
• A. \(45\)
• B. \(35\)
• C. \(25\)
• D. \(30\)
• A. \(249\)
• B. \(183\)
• C. \(225\)
• D. \(222\)
• A. Hindi
• B. English
• C. Maths
• D. Science

Answer 1

The Correct Option is C

Concept:
In a pie chart, \[ 360^\circ \] represents the total quantity. Here, the pie chart shows marks in different subjects. It is given that the student scored \(135\) marks in Mathematics. From the pie chart, the angle for Mathematics is \[ 90^\circ \]

Step 1: Relate angle with marks. Since \[ 90^\circ \longrightarrow 135\text{ marks} \] we find marks corresponding to \(360^\circ\). \[ 360^\circ \longrightarrow \frac{135}{90}\times 360 \]

Step 2: Calculate total marks. \[ \frac{135}{90}\times 360 \] \[ =135\times 4 \] \[ =540 \]

Step 3: Final answer. \[ \boxed{540} \]

Answer 2

Concept:
Marks are proportional to the angles in a pie chart. From the chart: \[ \text{Mathematics angle}=90^\circ \] \[ \text{Mathematics marks}=135 \] So first we find the total marks.

Step 1: Find total marks. \[ 90^\circ \longrightarrow 135 \] \[ 360^\circ \longrightarrow \frac{135}{90}\times 360 \] \[ =540 \] So total marks are \[ 540 \]

Step 2: Use Science angle. From the pie chart, \[ \text{Science angle}=76^\circ \] So Science marks are \[ \frac{76}{360}\times 540 \]

Step 3: Calculate. \[ \frac{76}{360}\times 540 = 76\times \frac{3}{2} \] \[ =76\times 1.5 \] \[ =114 \]

Step 4: Final answer. \[ \boxed{114} \]

Answer 3

Concept:
In a pie chart, the ratio of marks is equal to the ratio of corresponding angles. So we can compare Hindi and Social Studies using their angles directly.

Step 1: Identify Hindi angle. From the pie chart, \[ \text{Hindi angle}=60^\circ \]

Step 2: Find Social Studies angle. The given angles are: \[ \text{Mathematics}=90^\circ \] \[ \text{Science}=76^\circ \] \[ \text{English}=62^\circ \] \[ \text{Hindi}=60^\circ \] Total angle in a pie chart is \[ 360^\circ \] So Social Studies angle is \[ 360^\circ-(90^\circ+76^\circ+62^\circ+60^\circ) \] \[ =360^\circ-288^\circ \] \[ =72^\circ \]

Step 3: Find the required ratio. \[ \text{Hindi}:\text{Social Studies}=60:72 \] Divide by \(12\): \[ 60:72=5:6 \]

Step 4: Final answer. \[ \boxed{5:6} \]

Answer 4

Concept:
Percentage from a pie chart can be found by \[ \text{Percentage}=\frac{\text{angle of sector}}{360^\circ}\times 100 \]

Step 1: Find Social Studies angle. The known angles are: \[ 90^\circ,\ 76^\circ,\ 62^\circ,\ 60^\circ \] Their sum is \[ 90+76+62+60=288^\circ \] Therefore, Social Studies angle is \[ 360^\circ-288^\circ=72^\circ \]

Step 2: Find percentage. \[ \text{Percentage of Social Studies} = \frac{72}{360}\times 100 \] \[ =\frac{1}{5}\times 100 \] \[ =20 \]

Step 3: Final answer. \[ \boxed{20} \]

Answer 5

Concept:
Marks are proportional to angles in a pie chart. Given: \[ \text{Mathematics angle}=90^\circ \] \[ \text{Mathematics marks}=135 \]

Step 1: Find marks per degree. \[ 90^\circ \longrightarrow 135 \] So, \[ 1^\circ \longrightarrow \frac{135}{90} \] \[ =\frac{3}{2} \]

Step 2: Find Hindi marks. From the pie chart, \[ \text{Hindi angle}=60^\circ \] So Hindi marks are \[ 60\times \frac{3}{2} \] \[ =90 \]

Step 3: Find difference between Maths and Hindi. \[ \text{Maths marks}=135 \] \[ \text{Hindi marks}=90 \] Difference: \[ 135-90=45 \]

Step 4: Final answer. \[ \boxed{45} \]

Answer 6

Concept:
In a pie chart, \[ \text{Marks}=\frac{\text{Angle}}{360^\circ}\times \text{Total marks} \] From Mathematics: \[ 90^\circ \longrightarrow 135 \] So total marks are \[ 540 \]

Step 1: Find Science marks. Science angle is \[ 76^\circ \] So Science marks: \[ \frac{76}{360}\times 540 \] \[ =114 \]

Step 2: Find Social Studies marks. Social Studies angle is \[ 72^\circ \] So Social Studies marks: \[ \frac{72}{360}\times 540 \] \[ =108 \]

Step 3: Add both marks. \[ 114+108=222 \]

Step 4: Final answer. \[ \boxed{222} \]

Answer 7

Concept:
Marks are proportional to angles in a pie chart. From Mathematics: \[ 90^\circ \longrightarrow 135 \] So, \[ 1^\circ \longrightarrow \frac{135}{90}=\frac{3}{2} \]

Step 1: Find the angle corresponding to \(93\) marks. Let the required angle be \(\theta\). \[ \theta\times \frac{3}{2}=93 \] \[ \theta=93\times \frac{2}{3} \] \[ \theta=62^\circ \]

Step 2: Match with the pie chart. From the pie chart, \[ 62^\circ \] corresponds to English.

Step 3: Final answer. \[ \boxed{\text{English}} \]