Staff Selection Commission Sub Inspector Exam
Question : If 18, $x$, and 50 are continued proportions, then the value of $x$ is:
Option 1: 30
Option 2: 3
Option 3: 5
Option 4: 32
Correct Answer: 30
Solution : Given: 18, $x$ and 50 are continued proportions. Since, 18, $x$ and 50 are continued proportions, i.e., $18:x::x:50$ ⇒ $\frac{18}{x}=\frac{x}{50}$ ⇒ $x^2=18×50$ ⇒ $x=\sqrt{900}$ $\therefore x=30$ Hence, the correct answer is 30.
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."
Who (1) / arranged (2) / the chairs? (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
All parts of the sentence are correct, and it conveys a question about the arrangement of the chairs. There are no errors concerning tense, agreement, or word order in this sentence.
Question : A bus left 60 minutes later than the scheduled time, but to reach its destination 48 km away in time, it had to increase the speed by 4 km/hr from the usual speed. What is the usual speed (in km/hr) of the bus?
Option 1: 9
Option 2: 12
Option 3: 15
Option 4: 8
Correct Answer: 12
Solution : Let the usual speed be $x$ km/hr. According to the question, $\frac{48}{x}-\frac{48}{x+4}=\frac{60}{60}$ $⇒x^2+4x-192=0$ $⇒x^2+(16-12)x-192=0$ $⇒(x+16)(x-12)=0$ Since speed cannot be negative, $\therefore x= 12$ km/hr Hence, the correct answer is 12.
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 192
Option 2: 144
Option 3: 110
Option 4: 208
Correct Answer: 110
Solution : Given:
Column 1: $\sqrt[3]{125}$ × 27 = 5 × 27 = 135 Column 3: $\sqrt[3]{64}$ × 72 = 4 × 72 = 288 Column 2: $\sqrt[3]{8}$ × 55 = 2 × 55 = 110
So, 110
Question : Select the most appropriate idiom to fill in the blank and complete the meaning of the sentence. Most of the ministers are concerned with the _________ of office than the service of man.
Option 1: leaps and bounds
Option 2: loaves and fishes
Option 3: wear and tear
Option 4: Herculean task
Correct Answer: loaves and fishes
Solution : The correct answer is the second option.
The idiom "loaves and fishes" refers to material gain, especially financial profit or personal advantage. In the context of the sentence, it implies that the ministers are more concerned with the material benefits or perks of
Question : Directions: If + means divided by, – means added to, × means subtracted from, and ÷ means multiplied by, then what will be the value of the following expression? [{(23 × 15) – (2 ÷ 2)} + (2 – 4)] ÷ 2
Option 1: 8
Option 2: 2
Option 3: 6
Option 4: 4
Correct Answer: 4
Solution : Given: + means divided by, – means added to, × means subtracted from, and ÷ means multiplied by [{(23 × 15) – (2 ÷ 2)} + (2 – 4)] ÷ 2
After replacing symbols the equation will be – = [{(23 – 15) + (2
Question : As per the Indian Constitution under which condition freedom of expression is taken away from citizens?
Option 1: Imprisonment
Option 2: Veto
Option 3: Coup
Option 4: Censorship
Correct Answer: Censorship
Solution : The correct answer is Censorship.
According to the Indian constitution, the state may impose reasonable restrictions on the exercise of the right to freedom of speech and expression on the grounds of India's sovereignty and integrity, security, friendly relations with other countries, public order, decency
Question : Two trains with a speed of 80 km/hr and 120 km/hr, respectively, are 500 km apart and face each other. Find the distance between them 10 minutes before crossing.
Option 1: 72.33 km
Option 2: 33.33 km
Option 3: 63.33 km
Option 4: 52.74 km
Correct Answer: 33.33 km
Solution : Relative speed = 80 + 120 = 200 km/hr Time = 10 minutes = $\frac{10}{60}$ = $\frac{1}{6}$ hour $\therefore$ The distance covered in 10 minutes = $200 \times \frac{1}{6}$ = 33.33 km Hence, the correct answer is 33.33 km.
Question : Directions: If M denotes –, N denotes ÷, O denotes ×, and P denotes +, then what will come in place of (?) in the following equation? 21 O 5 P 69 N 3 P $\sqrt{225}$ M 88 = ?
Option 1: 61
Option 2: 65
Option 3: 55
Option 4: 50
Correct Answer: 55
Solution : Given: M denotes –, N denotes ÷, O denotes ×, and P denotes + 21 O 5 P 69 N 3 P $\sqrt{225}$ M 88 = ?
After replacing the letters with the mathematical signs, we get: = 21 × 5 + 69 ÷ 3
Question : Directions: Param drives 8 km north from point A. He takes a right turn and drives 8 km. Again he takes a right turn and drives 4 km. Finally, he takes a right turn and drives 8 km to reach point B. How far and towards which direction should he drive to reach point A again?
Option 1: 5 km towards north
Option 2: 4 km towards south
Option 3: 6 km towards east
Option 4: 3 km towards west
Correct Answer: 4 km towards south
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the distance between A and B and towards which direction should he drive to reach point A again.
The distance between A and B =
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