Staff Selection Commission Sub Inspector Exam
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
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
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
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
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
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
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
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
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
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 +
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
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
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
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
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:
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
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
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
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
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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