Staff Selection Commission Sub Inspector Exam
Question : Find the value of $\frac{\sin ^2 39^{\circ}+\sin ^2\left(90^{\circ}–39^{\circ}\right)}{\cos ^2 35^{\circ}+\cos ^2\left(90^{\circ}–35^{\circ}\right)}+3 \tan 25^{\circ} \tan 75^{\circ}$:
Option 1: 2
Option 2: 4
Option 3: 3
Option 4: 1
Correct Answer: 4
Solution : $\frac{\sin ^2 39^{\circ}+\sin ^2\left(90^{\circ}–39^{\circ}\right)}{\cos ^2 35^{\circ}+\cos ^2\left(90^{\circ}–35^{\circ}\right)}+3 \tan 25^{\circ} \tan 75^{\circ}$ $=\frac{\sin ^2 39^{\circ}+\cos ^239^{\circ}}{\cos ^2 35^{\circ}+\sin ^235^{\circ}}+3 \tan 25^{\circ} \times\tan(90^{\circ}– 25^{\circ})$ $=1+3 \tan 25^{\circ} \times\cot25^{\circ}$ $=1+3$ $=4$ Hence, the correct answer is 4.
Question : Study the given bar graph and answer the question that follows. The bar graph shows the export of rice (in INR lakhs) during five years. The average export of rice for the years 2010 to 2014 (in INR lakhs) was:
Option 1: 13.28
Option 2: 14.78
Option 3: 15.88
Option 4: 16.56
Correct Answer: 15.88
Solution : The average export of rice for the years 2010 to 2014 (in INR lakhs) = $\frac{10.4+13+15.6+21.6+18.8}{5}$ = $\frac{79.4}{5}$ = 15.88 Hence, the correct answer is 15.88.
Question : Directions: In these questions, a part of the sentence is in bold. Below are given alternatives to the bold parts at (1), (2), and (3), which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
I can't think of anybody whom to invite.
(1) anybody whom I should invite
(2) anybody to invite
(3) anybody who should be invited
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
Explanation: "Anybody who should be invited" uses the passive voice and correctly expresses as to who all are eligible for invitation.
Therefore, the correct sentence is: "I can't think of anybody who should be invited."
Question : Which of the following scientists provided the Law of Octaves?
Option 1: Galileo Galilei
Option 2: John Newlands
Option 3: Michael Faraday
Option 4: Marie Curie
Correct Answer: John Newlands
Solution : The correct answer is John Newlands.
John Newlands arranged the elements in increasing order of their atomic mass. He provided the law of octaves, which states that the properties of every 8th element are similar to those of the first element. The law of
Question : Directions: The expenses of a country for a particular year are given in the pie chart, Read it carefully and answer the question. If the total amount spent by the government during the year was Rs. 1,00,000 crores, then the amount spent on health and education together was:
Option 1: Rs. 25,000 crores
Option 2: Rs. 20,000 crores
Option 3: Rs. 30,000 crores
Option 4: Rs. 15,000 crores
Correct Answer: Rs. 25,000 crores
Solution : We know that, 100% = 360° 10% = $\frac{360 \times 10}{100}$ = 36° ∴ Corresponding angle for expenditure on health and education = 36° + 54° = 90° Since, 360° = Rs. 1,00,000 crores 90° = $\frac{100000 \times 90°}{360°}$ = Rs. 25,000 crores
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
It had laid (1) / in the closet (2) / for a week before we found it. (3) / No error (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The phrase had laid should be replaced with had been lying because lying is an intransitive verb and laid is a transitive verb, which needs an object after the verb. Moreover, a time period has
Question : A solid metallic sphere of radius 8.4 cm is melted and recast into a right circular cylinder of radius 12 cm. What is the height of the cylinder? (Your answer should be correct to one decimal place.)
Option 1: 6.5 cm
Option 2: 5.5 cm
Option 3: 7.0 cm
Option 4: 6.0 cm
Correct Answer: 5.5 cm
Solution : Given: Radius of sphere $r$ = 8.4 cm The radius of cylinder $R$ = 12 cm Let the height of the cylinder be $h$ cm. According to the question, The volume of the cylinder = volume of the sphere $\pi R^2h = \frac{4}{3}\pi r^3$
Question : Which of the following is not a part of the Meghalaya Plateau?
Option 1: Jaintia Hills
Option 2: Khasi Hills
Option 3: Garo Hills
Option 4: Palamu Hills
Correct Answer: Palamu Hills
Solution : The correct answer is Palamu Hills
There is no Palamu Hills in the Meghalaya Plateau. Jharkhand state has the district of Palamu. The rugged Khasi and Jaintia Hills are primarily located in the states of Assam and Meghalaya. To the east of the Garo
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
It is not (1)/ such a pretty place (2)/ that I had expected. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 4: 4
Correct Answer: 3
Solution : The error lies in the third part of the sentence.
The use of that in the third option is incorrect, as such should be followed by as, since such....as means of that type or kind.
Therefore, the correct sentence should be: "It is not
Question : As per the India State of Forest Report 2017, which of the following states has the maximum percentage of forest cover in its area?
Option 1: Maharashtra
Option 2: Odisha
Option 3: Assam
Option 4: Mizoram
Correct Answer: Mizoram
Solution : The correct answer is Mizoram.
As of the India State of Forest Report 2017, Mizoram had the highest percentage, which is 90.38% of forest cover within its area among the Indian states. Mizoram is known for its significant forest cover and biodiversity.
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