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Staff Selection Commission Sub Inspector Exam

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Question : Directions: Select the option related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
3 : 8 :: 6 : ? :: 11 : 1000

Option 1: 216

Option 2: 512

Option 3: 125

Option 4: 729

Team Careers360 18th Jan, 2024

Correct Answer: 125


Solution : Given:
3 : 8 :: 6 : ? :: 11 : 1000

Subtract 1 from the first number, and then find the cube of the resultant number, to obtain the second number –
Like, 3 : 8→(3 – 1)3 = 23 = 8

6 Views

Question : Directions: If A denotes ‘+’, B denotes ‘×’, C denotes ‘−’, and D denotes ‘÷’, then what will come in place of ‘?’ in the following equation?

145 A 27 D 3 B ? = 163

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 6

Team Careers360 23rd Jan, 2024

Correct Answer: 2


Solution : Given:
A denotes ‘+’, B denotes ‘×’, C denotes ‘−’, and D denotes ‘÷’, 
145 A 27 D 3 B ? = 163

Replacing the letters with the given mathematical operations.
145 + 27 ÷ 3 × ? = 163
9 × ? = 163

31 Views

Question : Find the perimeter of a major sector of a circle of radius 12 metres, whose minor sector subtends an angle of 75° at the centre.

Option 1: $(24 + 5π)$ metres

Option 2: $(24 + 19π)$ metres

Option 3: $(24 – 5π)$ metres

Option 4: $(24 – 19π)$ metres

Team Careers360 20th Jan, 2024

Correct Answer: $(24 + 19π)$ metres


Solution : Here, we have a radius of the circle = 12 m and a minor sector angle subtends an angle = 75º
Angle subtended by major arc = 360º – 75º = 285º
Perimeter of major arc = $2 \times \pi \times r

13 Views

Question : Who was the founder of Kolkata's first "Atmiya Sabha" (philosophical discussion circle) held in 1815?

Option 1: Raja Ram Mohan Roy

Option 2: Lala Lajpat Rai

Option 3: Rabindranath Tagore

Option 4: Jawaharlal Nehru

Team Careers360 23rd Jan, 2024

Correct Answer: Raja Ram Mohan Roy


Solution : The correct answer is Raja Ram Mohan Roy.

The founder of Kolkata's first "Atmiya Sabha" (philosophical discussion circle) held in 1815 was Raja Ram Mohan Roy. He was a prominent social reformer, religious thinker and the founder of the Brahmo Sabha, which

140 Views

Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
25 : 18 :: 37 : ? :: 49 : 36

Option 1: 29

Option 2: 32

Option 3: 30

Option 4: 27

Team Careers360 20th Jan, 2024

Correct Answer: 27


Solution : Given:
25 : 18 :: 37 : ? :: 49 : 36

Add the sum of the digits of the first number in itself and then subtract the sum from the first number to obtain the second number.
Here, 25 : 18→25 – (2 +

15 Views

Question : Which of the following was the first theory of superconductivity?

Option 1: Ginzburg-Landau theory

Option 2: London theory

Option 3: Resonating valence bond theory

Option 4: Quantum field theory

Team Careers360 19th Jan, 2024

Correct Answer: London theory


Solution : The correct answer is the London theory.

London theory was the first phenomenological explanation of superconductivity. It was proposed in 1935, not long after the brothers Fritz and Heinz London learned that superconductors emit magnetic fields. The Meissner effect, wherein a material exponentially

140 Views

Question : Find the greatest possible length (in metres) that can be used to exactly measure the lengths 6 m, 5 m 25 cm and 12 m 50 cm.

Option 1: 0.25 m

Option 2: 0.75 m

Option 3: 0.90 m

Option 4: 0.35 m

Team Careers360 24th Jan, 2024

Correct Answer: 0.25 m


Solution : To find the greatest possible length that can be used to exactly measure the lengths 6 m, 5 m 25 cm, and 12 m 50 cm.
6 m = 600 cm
5 m 25 cm = 525 cm
12 m 50 cm = 1250

14 Views

Question : Directions: From the given answer figures, select the one in which the question figure is hidden/embedded.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 18th Jan, 2024

Correct Answer:


Solution : Because there is no restriction on the rotation of the figure, we will check all the possible angles where the question figure can fit itself in the given option figures.
By comparison of all the option figures, the given question figure is embedded only in the

12 Views

Question : Directions: A is the father of B, C is the daughter of B, D is the brother of B, and E is the son of A. What is the relationship between C and E?

Option 1: Brother and sister

Option 2: Cousins

Option 3: Niece and uncle

Option 4: Uncle and aunt

Team Careers360 17th Jan, 2024

Correct Answer: Niece and uncle


Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, C is the niece of E and E

13 Views

Question : If $x:y=2:1$, then $(x^{2}-y^{2}) : (x^{2}+y^{2})$ is:

Option 1: 3 : 5

Option 2: 5 : 3

Option 3: 4 : 5

Option 4: 5 : 6

Team Careers360 25th Jan, 2024

Correct Answer: 3 : 5


Solution : $x : y = 2 : 1$
Let $x = 2k$ and $y = k$
So, $x^2 = 4k^2$ and $y^2 = k^2$
Now putting the value in the given equation, we get,
$(x^{2}-y^{2}) : (x^{2}+y^{2})$
$= (4k^2 - k^2) : (4k^2 +

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