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Staff Selection Commission Sub Inspector Exam

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Question : While tabling marks scored in an examination by the students of a class, by mistake the marks scored by one student got recorded as 93 in place of 63, and thereby the average marks increased by 0.5. What was the number of students in the class?

Option 1: 60

Option 2: 20

Option 3: 15

Option 4: 30

Team Careers360 11th Jan, 2024

Correct Answer: 60


Solution : Let the number of students in the class as $n$.
The total increase in marks due to the mistake is 93 – 63 = 30 marks
This increase caused the average marks to increase by 0.5 marks.
Average = $\frac{\text{Sum of all the observations}}{{\text{Total number

19 Views

Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).

Torture and trauma have made her a mental patient.

(1) mad

(2) lunatic

(3) mania

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 24th Jan, 2024

Correct Answer: (2)


Solution : The correct choice is the second option.

Mental should be replaced with lunatic to convey the intended meaning. 

The word mental is a more general term, while lunatic is a more specific term that refers to someone who is mentally ill or insane. Mania refers

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Question : What is the minimum amount which can be remitted through Real Time Gross Settlement (RTGS) as of October 2022?

Option 1: INR 2,00,000

Option 2: INR 1,00,000

Option 3: INR 5,00,000

Option 4: INR 5,00,000

Team Careers360 21st Jan, 2024

Correct Answer: INR 2,00,000


Solution : The correct option is INR 2,00,000.

The minimum amount for real-time gross settlement (RTGS) transactions was set at Rs 2 lakhs, or INR 2,00,000. Banks may charge customers for initiating RTGS transactions, and the fees can vary.

20 Views

Question : If $N=\frac{(\sqrt7-\sqrt3)}{(\sqrt7+\sqrt3)}$, then what is the value of $(N+\frac{1}{N})$?

Option 1: $2\sqrt2$

Option 2: $5$

Option 3: $10$

Option 4: $13$

Team Careers360 23rd Jan, 2024

Correct Answer: $5$


Solution : $N=\frac{(\sqrt7-\sqrt3)}{(\sqrt7+\sqrt3)}$, then what is the value of $N+(\frac{1}{N})$
$\frac{1}{N}=\frac{(\sqrt7+\sqrt3)}{(\sqrt7-\sqrt3)}$
To find: $N+(\frac{1}{N})$
Putting the values, we get:
$\frac{(\sqrt7-\sqrt3)}{(\sqrt7+\sqrt3)}+\frac{(\sqrt7+\sqrt3)}{(\sqrt7-\sqrt3)}$
= $\frac{(\sqrt7-\sqrt3)^2+(\sqrt7+\sqrt3)^2}{(\sqrt7+\sqrt3)(\sqrt7-\sqrt3)}$
= $\frac{(7+3-2\sqrt7\sqrt3)+(7+3+2\sqrt7\sqrt3)}{(7-3)}$
= $\frac{20}{4}$
= 5
Hence, the correct answer is $5$.

21 Views

Question : The value of $9\times [(9 - 4) \div{\{(8 \div 8\ \text{of}\ 4) +(4 \div 4 \ \text{of}\ 2)}\}]$ is:

Option 1: $20$

Option 2: $60$

Option 3: $\frac{15}{4}$

Option 4: $\frac{15}{2}$

Team Careers360 21st Jan, 2024

Correct Answer: $60$


Solution : Given: The expression is $9\times [(9 - 4) \div {\{(8 \div 8\ \text{of}\ 4) +(4 \div 4 \ \text{of}\ 2)}\}]$
$=9\times [(9 - 4) \div {\{(8 \div 32) +(4 \div 8)}\}]$
$=9\times [5 \div (\frac{1}{4} +\frac{1}{2})]$
$=9\times [5 \div \frac{3}{4}]$
$=9\times [5\times \frac{4}{3}]=9\times \frac{20}{3}=60$
Hence,

511 Views

Question : If the hypotenuse of a right-angled triangle is 29 cm and the sum of the other two sides is 41 cm, then the difference between the other two sides is:

Option 1: 5 cm

Option 2: 1 cm

Option 3: 2 cm

Option 4: 10 cm

Team Careers360 12th Jan, 2024

Correct Answer: 1 cm


Solution : Let $a$ and $b$ be the two sides other than the hypotenuse.
Use the Pythagoras theorem: Hypotenuse2 = Base2 + Perpendicular2
According to the question,
 $(29)^{2} = a^{2} + b^{2}$
⇒ 841 = $a^{2} + b^{2}$
Also, $a +  b$ =

19 Views

Question : A godown is 15 m long and 12 m broad. The sum of the area of the floor and the ceiling is equal to the sum of the area of the four walls. The volume (in m3) of the godown is:

Option 1: 900

Option 2: 1200

Option 3: 1800

Option 4: 720

Team Careers360 11th Jan, 2024

Correct Answer: 1200


Solution : Given: A godown is 15 m long and 12 m broad.
The sum of the area of the floor and the ceiling is equal to the sum of the four walls.
Let the height of the hall be H.
The area of floor = sum

81 Views

Question : Directions: Rahim rode on his bicycle from his house towards the market for 300 m. He was moving southwest. Then he turned left at an angle of 135° and rode for 100 m to visit a friend. In which direction is Rahim’s house located from his friend’s house?

Option 1: North

Option 2: East

Option 3: West

Option 4: South

Team Careers360 22nd Jan, 2024

Correct Answer: North


Solution : Firstly, draw the diagram as per the given instructions –

Here, R represents Rahim's house and F represents his friend's house.

As per the figure, Rahim's house is towards the north direction concerning his friend's house. Hence, the first option is correct.

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