Comprehension

The gross investments of Life Insurance Corporation of India (in crore of rupees) in different sectors are shown in the Pie Chart given below:
Pie chart of gross investments of Life Insurance Corporation

Question: 1

The percentage of gross investments in State Government Securities is nearly

Updated On: Oct 1, 2024
  • 7.1\(\%\)
  • 7.8\(\%\)
  • 8.6\(\%\)
  • 9.2\(\%\)
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The Correct Option is A

Solution and Explanation

The correct option is (A): 7.1\(\%\)
Explanation:

Total investments = 458 +107+183 + 454 +110+ 227 = Rs. 1539 crores

Percentage of gross investments in State Government Securities \(=\frac{110}{1539}\times\approx7.1\%\)

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Question: 2

The magnitude of the acute \(\angle\) BOC is nearly

Updated On: Oct 1, 2024
  • \(25^\circ\)
  • \(40^\circ\)
  • \(50^\circ\)
  • \(60^\circ\)
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The Correct Option is A

Solution and Explanation

The correct option is (A): \(25^\circ\)
Explanation:
Total investments = 458 +107+183+454+110+227 = Rs. 1539 crores
\(\angle BOC=\frac{107}{1539}\times360^\circ\approx25^\circ\)
So, the correct answer is Option A= \(25^\circ\).
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Question: 3

The investment in socially-oriented sectors (Plan and Non-Plan) is ………… than the investment in Government Securities (Central and State) by _______

Updated On: Oct 1, 2024
  • more, 4 crore
  • more, 1 crore
  • more, 111 crore
  • less, 106 crore
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The Correct Option is B

Solution and Explanation

The correct option is (B): more, 1 crore
Explanation:

The total investment in socially-oriented sectors (both Plan and Non-Plan) is calculated as follows:

\[\text{Total investment (Socially-oriented)} = 107 + 458 = \text{Rs. 565 crores}\]

For the investment in Government Securities (including Central and State), the calculation is:

\[\text{Total investment (Government Securities)} = 454 + 110 = \text{Rs. 564 crores}\]

Thus, the required difference between these investments is:

\[\text{Difference} = 565 - 564 = \text{Rs. 1 crore}\]

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Question: 4

The investment in private sector is nearly _______ percent higher than the investment in State Government Securities.

Updated On: Oct 1, 2024
  • 66
  • 54
  • 46
  • 40
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The Correct Option is A

Solution and Explanation

The correct option is (A): 66
Investment in private sector = Rs. 183 crores and investment in State Govt securities= Rs. 110 crores
Required \(\%=\frac{183-110}{110}\times100=66\%\)

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Question: 5

The ratio of the area of the sector CDEF to the area of the sector CBAF is nearly

Updated On: Oct 1, 2024
  • 1
  • 0.75
  • 0.50
  • 0.25
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The Correct Option is A

Solution and Explanation

The correct option is (A): 1
Explanation:
Let angle made at centre by sector CDEF be and total investments be Rs. \(x\)
\(\theta=\frac{183+454+110}{x}\times360^\circ=747\times\frac{360^\circ}{x}\)
Similarly angle made by sector CBAF = \(\theta_1=\frac{107+458+227}{x}\times360^\circ=792\times\frac{360^\circ}{x}\)
\(\therefore\) Ratio of the area of the sector CDEF to the area of the sector CBAF=\(\frac{\theta}{\theta_1}\)\(=\frac{747}{792}\approx1\)

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