Staff Selection Commission Sub Inspector Exam
Question : PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that $\angle {APB}=100^{\circ}$, then $\angle {OAB}$ is equal to:
Option 1: $45^{\circ}$
Option 2: $35^{\circ}$
Option 3: $70^{\circ}$
Option 4: $50^{\circ}$
Correct Answer: $50^{\circ}$
Solution : According to the question, $\angle$APB = 100º Also, $\angle$ OAP = $\angle$ OBP = 90º (the angle between the tangent and radius at the point of contact is 90º) Since the sum of all angles of a quadrilateral is 360º. $\angle$ OAP + $\angle$ OBP
Question : Which of the following is the autobiography of the first Indian President Dr. Rajendra Prasad?
Option 1: Atmavrittanta
Option 2: Atmakatha
Option 3: A Shot at History
Option 4: My Country My Life
Correct Answer: Atmakatha
Solution : The correct answer is Atmakatha.
Atmakatha is the autobiography of the first Indian President, Dr. Rajendra Prasad. This book tells about the life and struggles of a freedom fighter, mainly about his experiences during his prison term in Bankipur jail. Dr. Rajendra Prasad was the
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. WVU, TSR, QPO, ?
Option 1: NML
Option 2: LMN
Option 3: LMK
Option 4: KLM
Correct Answer: NML
Solution : Given: WVU, TSR, QPO, ?
Subtract three from the place value of each letter to get the next term of the series – WVU→W – 3 = T; V – 3 = S; U – 3 = R→TSR TSR→T – 3 = Q; S –
Question : Select the most appropriate word to fill in the blank. If only we ______ a light! It is depressing to wait in the dark.
Option 1: are having
Option 2: have
Option 3: had
Option 4: have had
Correct Answer: had
Solution : The third option is the correct choice.
Explanation: The sentence is a conditional construction from the past, an unreal condition. The correct structure for such sentences is "If only + subject + past perfect (had) + past participle". The use of had shows it
Question : Select the most appropriate synonym of the underlined word. It was inevitable that the team management would sack him after his rude behaviour.
Option 1: impassionate
Option 2: amiable
Option 3: measurable
Option 4: unavoidable
Correct Answer: unavoidable
Solution : The correct choice is the fourth option.
"Inevitable" means something that cannot be avoided or is certain to happen. In the context of the sentence, it implies that the team management's decision to sack him was certain or bound to happen due to his rude
Question : A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. What is the average time taken by A and B to walk a 40 km distance?
Option 1: 7 hours 15 minutes
Option 2: 5 hours 45 minutes
Option 3: 6 hours
Option 4: 5 hours 15 minutes
Correct Answer: 5 hours 45 minutes
Solution : Let the speed of A as $a$ km/hr and the speed of B as $b$ km/hr. $\text{Speed} = \frac{\text{Distance}}{\text{Time}}$ From the problem, A takes 2 hours 30 minutes more than B to walk 40 km. $⇒\frac{40}{a} = \frac{40}{b} + \frac{5}{2}$ If A
Question : Sanjay and Rohan can complete a work in 8 days and 12 days, respectively. Starting with Sanjay, they work on alternate days. In how many days will the work be completed?
Option 1: $8 \frac{1}{2}$
Option 2: $9 \frac{1}{2}$
Option 3: $9 \frac{2}{3}$
Option 4: $9 \frac{1}{3}$
Correct Answer: $9 \frac{1}{2}$
Solution : Time taken by Sanjay to complete the work = 8 days Part of work done by Sanjay in a day = $\frac{1}{8}$ Time taken by Rohan to complete the work = 12 days Part of work done by Rohan in a day = $\frac{1}{12}$
Question : Select the most appropriate meaning of the given idiom.
At the eleventh hour
Option 1: Time for debate
Option 2: Very late in the evening
Option 3: A state of confusion
Option 4: Just before the deadline
Correct Answer: Just before the deadline
Solution : The fourth option is correct.
This idiom is derived from the biblical parable of the labourers in the vineyard, where workers were hired throughout the day, but those hired at the eleventh hour received the same payment as the others. Over time,
Question : Directions: If SEVEN is coded as 23136 and EIGHT as 34579, what will be the code for NINE?
Option 1: 6463
Option 2: 6364
Option 3: 6346
Option 4: 6436
Correct Answer: 6463
Solution : Given: SEVEN is coded as 23136 and EIGHT is coded as 34579.
Code the letters of the word SEVEN with equivalent numbers given in the code – S→2; E→3; V→1; E→3; N→6 Thus, SEVEN is coded as 23136. And, EIGHT is coded as 34579 –
Question : Directions: Select the related letter cluster from the given alternatives. GHI : DFH :: LMN : ?
Option 1: IMK
Option 2: JLM
Option 3: ILM
Option 4: IKM
Correct Answer: IKM
Solution : Given: GHI : DFH :: LMN : ?
Subtract numbers starting from 3 and in the decreasing order from the letters of GHI and LMN to obtain related clusters. G – 3 = D; H – 2 = F; I – 1 = H Similarly,
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