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Staff Selection Commission Sub Inspector Exam

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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

Team Careers360 19th Jan, 2024

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.

14 Views

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)

Team Careers360 16th Jan, 2024

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.

39 Views

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

Team Careers360 15th Jan, 2024

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.

14 Views

Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.

125 8 64
27 55 72
135 ? 288

Option 1: 192

Option 2: 144

Option 3: 110

Option 4: 208

Team Careers360 24th Jan, 2024

Correct Answer: 110


Solution : Given:

125 8 64
27 55 72
135 ? 288


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

144 Views

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

Team Careers360 4th Jan, 2024

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

52 Views

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

Team Careers360 13th Jan, 2024

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

15 Views

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

Team Careers360 15th Jan, 2024

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

32 Views

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

Team Careers360 17th Jan, 2024

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.

14 Views

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

Team Careers360 6th Jan, 2024

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

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