Staff Selection Commission Sub Inspector Exam
Question : P is a point outside a circle with centre O, and it is 14 cm away from the centre. A secant PAB drawn from P intersects the circle at points A and B such that PA = 10 cm and PB = 16 cm. The diameter of the circle is:
Option 1: 10 cm
Option 2: 13 cm
Option 3: 11 cm
Option 4: 12 cm
Correct Answer: 12 cm
Solution :
Given, OP = 14 cm, PA = 10 cm, PB = 16 cm Let the radius of the circle be r cm. ⇒ OQ = OE = r cm ⇒ PE = (14 – r) and PQ = (14 + r) As we know,
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 126
Option 2: 168
Option 3: 224
Option 4: 240
Correct Answer: 240
Solution : Let's check the options – First option: 126→126 ÷ 7 = 18 Second option: 168→168 ÷ 7 = 24 Third option: 224→224 ÷ 7 = 32 Fourth option: 240→240 is not divisible by 7.
So, the number in the fourth option is not divisible by
Question : Who among the following was the Viceroy of India during the formation of the Indian National Congress?
Option 1: Lord Lytton
Option 2: Lord Ripon
Option 3: Lord Dufferin
Option 4: Lord Mayo
Correct Answer: Lord Dufferin
Solution : The correct option is Lord Dufferin.
Lord Dufferin was the Viceroy of India during the formation of the Indian National Congress in 1885. The Congress, founded by A. O. Hume and others, played a pivotal role in India's struggle for independence by advocating
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Cowards die many times ___________ their death.
Option 1: after
Option 2: before
Option 3: about
Option 4: for
Correct Answer: before
Solution : The correct choice is the second option.
It means prior to a specified time or event. In this context, it implies that cowards experience multiple instances of fear or distress before their actual death.
Therefore, the complete sentence is: Cowards die many times before their
Question : The sides of a triangle are 8 cm, 12 cm, and 16 cm. What is the area of the triangle?
Option 1: $24 \sqrt{15}~\text{cm}^2$
Option 2: $6 \sqrt{15}~\text{cm}^2$
Option 3: $8 \sqrt{15}~\text{cm}^2$
Option 4: $12 \sqrt{15}~\text{cm}^2$
Correct Answer: $12 \sqrt{15}~\text{cm}^2$
Solution : The sides of the triangle are 8 cm, 12 cm, and 16 cm. Semi perimeter = $\frac{8+12+16}{2}$ = 18 Area of the triangle = $\sqrt{18×(18 - 8)×(18 - 12)×(18 -16)}$ = $\sqrt{18×10×6×2}$ = $\sqrt{2160}$ = $12\sqrt{15}\ \text{cm}^2$ Hence, the correct answer is $12\sqrt{15}~\text{cm}^2$.
Question : The following bar graph shows the milk production (in million tons) details for 4 years for three brands (P, Q, R):
What was the average production of milk (in million tons) per year over the period of 4 years?
Option 1: 90
Option 2: 50
Option 3: 30
Option 4: 70
Correct Answer: 90
Solution : From the given bar graph, Milk production in the year 2016 = 40 + 50 + 30 = 120 Milk production in the year 2017 = 20 + 25 + 30 = 75 Milk production in the year 2018 = 40 + 30 + 20
Question : Directions: In a certain code language, CLOUDS is written as SBQAJM, and BRIGHT is written as EFRZPG. How will DREAMY be written in that language?
Option 1: YKWCBP
Option 2: YKWBPC
Option 3: YKXCPB
Option 4: WKXBPC
Correct Answer: YKWBPC
Solution : Given: CLOUDS is written as SBQAJM and BRIGHT is written as EFRZPG.
Subtract 2 from the place value of each letter of CLOUDS and BRIGHT and shuffle their position as shown below to get the required codes.
So, CLOUDS is written as SBQAJM.
So, BRIGHT
Question : In which of the following acts was the system of dyarchy introduced at the centre?
Option 1: Indian Councils Act 1909
Option 2: Government of India Act 1919
Option 3: Government of India Act 1935
Option 4: Indian Independence Act 1947
Correct Answer: Government of India Act 1935
Solution : The correct answer is the Government of India Act 1935.
The dyarchy at the centre was provided for by the Government of India Act of 1935. The governor was given full control over the centre's executive functions by this act. The
Question : Select the most appropriate ANTONYM of the given word. Separable
Option 1: Branched
Option 2: Judicious
Option 3: Indivisible
Option 4: Liable
Correct Answer: Indivisible
Solution : The third option is correct.
Separable refers to the capability of being divided or separated into distinct parts, indicating the potential for division. In contrast, indivisible signifies the incapability of being divided or separated, emphasising unity and the inability to be split into distinct parts.
Question : Select the option that expresses the given sentence in active voice.
The movie was being released on Friday.
Option 1: They were releasing the movie on Friday.
Option 2: The movie is being released on Friday.
Option 3: They are releasing the movie on Friday.
Option 4: They have been releasing the movie on Friday.
Correct Answer: They were releasing the movie on Friday.
Solution : The first option is correct.
Change from active voice to passive voice involves restructuring a sentence so that the subject of the active sentence becomes the object in the passive sentence, and vice versa.
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