Staff Selection Commission Sub Inspector Exam
Question : Three pipes, A, B, and C, can fill a cistern in 12, 18 and 24 minutes, respectively. If all the pipes are opened together for 7 minutes, what will be the volume of the water that overflows as the percentage of the total volume of the cistern?
Option 1: $23 \frac{2}{3}\%$
Option 2: $26 \frac{5}{18}\%$
Option 3: $23 \frac{1}{3}\%$
Option 4: $26 \frac{7}{18}\%$
Correct Answer: $26 \frac{7}{18}\%$
Solution : Let the volume of the cistern be 72 units. Pipe A can fill the cistern in 12 minutes. The rate of filling = $\frac{72}{12}$ = 6 units per minute Similarly, pipe B can fill the cistern in 18 minutes. The rate of filling =
Question : Select the INCORRECTLY spelt word.
Option 1: Impoverish
Option 2: Ostacise
Option 3: Necessitate
Option 4: Grandeur
Correct Answer: Ostacise
Solution : The correct choice is the second option.
Explanation: The correct spelling of the word is ostracise, not ostacise. The correct spelling includes the letter "r" after the letter "t." "Ostracise" means to exclude or banish someone from a group or society.
Question : Directions: In the following question, choose the correct alternative which will improve the part of the sentence given in quotes.
Martin Luther "translated" the Bible into German.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct answer is the fourth option.
The sentence is grammatically accurate and doesn't need any improvement. The sentence conveys the idea that the Bible was translated into German by Martin Luther in the past
Therefore, the given sentence requires no improvement.
Question : What was the important feature/outcome of the Lucknow Pact of 1916?
Option 1: The Congress did not agree to separate electorates for Muslims in provincial council elections.
Option 2: It widened the gap between the Hindus and the Muslims.
Option 3: It marked the reunion of the moderate and radical wings of the Congress.
Option 4: It led to the partition of Bengal.
Correct Answer: It marked the reunion of the moderate and radical wings of the Congress.
Solution : The correct option is It marked the reunion of the moderate and radical wings of the Congress.
During this time, the Congress was split into two main factions: moderates and extremists, or
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 3, 5, 7, 12, 37, 69, 357, (?)
Option 1: 656
Option 2: 645
Option 3: 665
Option 4: 654
Correct Answer: 656
Solution : Given: 3, 5, 7, 12, 37, 69, 357, (?)
The pattern is as follows –
Therefore, the required missing number in the series is 656. Hence, the first option is correct.
Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following symbols. 14 * 2 * 4 * 6 * 4
Option 1: ×, ÷, >, ×
Option 2: ÷, ×, >, ×
Option 3: ÷, +, =, ×
Option 4: ÷, +, >, ×
Correct Answer: ÷, ×, >, ×
Solution : Given: 14 * 2 * 4 * 6 * 4
Replace * with the mathematical signs and solve the equations one by one. Let's check the options – First option: ×, ÷, >, × ⇒ 14 × 2 ÷ 4 > 6
Question : Mamita is a popular folk dance in which of the following states?
Option 1: Tripura
Option 2: Uttarakhand
Option 3: Haryana
Option 4: Punjab
Correct Answer: Tripura
Solution : The correct answer is Tripura.
Mamita is a significant dance among the Kaloi community in Tripura. This celebration occurs at the harvest's end and is marked by cooking new rice amid festivities, including music and dance.
Question : If $\sec(7\theta+28°)= \operatorname{cosec} (30°-3\theta)$. Then, the value of $\theta$ is:
Option 1: 8°
Option 2: 5°
Option 3: 60°
Option 4: 9°
Correct Answer: 8°
Solution : Given: If $\sec(7\theta+28°)= \operatorname{cosec} (30°–3\theta)$. $\sec A = \operatorname{cosec} B$, when $A+B = 90°$ Then, $7\theta +28° + 30°-3 \theta = 90°$ ⇒ $4\theta + 58° = 90°$ ⇒ $4\theta = 90°-58°$ ⇒ $4\theta = 32°$ $\therefore \theta = \frac{32°}{4} = 8°$ Hence, the correct
Question : Mahesh agreed to sell rice with a 24% loss, as the rice got rotten. However, he cheated customers and gave them only 19 gm of rice instead of 50 gm of rice. What is the percentage of his profit or loss?
Option 1: $100\%$ loss
Option 2: $\frac{100}{3} \%$ loss
Option 3: $\frac{100}{3} \%$ profit
Option 4: $100\%$ profit
Correct Answer: $100\%$ profit
Solution : Let’s the that the cost price of 50 gm of rice is Rs. $x$ The selling price of 50 gm of rice with a 24% loss is Rs. 0.76$x$ The cost price of 19 gm of rice = $\frac{x}{50}$ × 19 = $0.38x$ ⇒
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at (1), ( 2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Thomas Caffall the gunman killing two persons near Texas A&M University, asked forgiveness for shooting the officers.
(1) who killed
(2) who has killed
(3) who had killed
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct answer is the third option "who had killed".
The past perfect tense is used to show that one action happened before another action in the past. In this sentence, the gunman killed two people before he asked for forgiveness. Therefore, we
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