Staff Selection Commission Sub Inspector Exam
Question : Which Indian scientist has been chosen for the first 2022 Sheikh Saud International Prize for Materials Research by the Centre for Advanced Materials of the UAE?
Option 1: Ashok Sen
Option 2: Jayant Narlikar
Option 3: Raghunath Anant Mashelkar
Option 4: C. N. R. Rao
Correct Answer: C. N. R. Rao
Solution : The correct option is C. N. R. Rao.
Renowned Indian scientist Professor C. N. R. Rao, affiliated with the Jawaharlal Nehru Centre for Advanced Scientific Research in Bangalore, was honoured with the inaugural 2022 Sheikh Saud International Prize for Materials Research.
Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. 63 : 72
Option 1: 161 : 184
Option 2: 112 : 144
Option 3: 152 : 133
Option 4: 188 : 216
Correct Answer: 161 : 184
Solution : Given : 63 : 72
In the above-given pair, divide the first number by 7 and the second number by 8, the result will be the same. 63 : 72→63 ÷ 7 = 9; 72 ÷ 8 = 9 Let's check each option
Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All plants are vegetables. Some plants are poisonous. Conclusions: I. All vegetables are poisonous. II. Some vegetables are plants.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyze the conclusions – Conclusion I: All vegetables are poisonous – From the Venn diagram, it is evident that the circles representing vegetables and poisonous overlap and have
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select "No Error (S)" as your answer.
The behaviour of resident spiders (P) / towards pirate spiders and their own prey (Q) / are quite different. (R) / No Error (S)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
Explanation: There is an error in the subject-verb agreement in the sentence. The verb are should be replaced with is to convey the intended meaning that the way resident spiders act or behave towards pirate spiders
Question : If the radius of a circle is increased by 50%, then what will be the percentage increase in the area of the circle?
Option 1: 225
Option 2: 125
Option 3: 150
Option 4: 175
Correct Answer: 125
Solution : Let the radius of the original circle = $r$ So, the area of the original circle = $\pi r^2$ Radius of circle after 50% increase = $r+\frac{50r}{100} =1.5r$ Area of new circle = $\pi \times 1.5^2 = 2.25r^2$ Percentage increase in area = $\frac{2.25\pi r^2-
Question : The fraction equivalent to $\frac{1}{5} \%$ is:
Option 1: $\frac{1}{125}$
Option 2: $\frac{1}{200}$
Option 3: $\frac{1}{40}$
Option 4: $\frac{1}{500}$
Correct Answer: $\frac{1}{500}$
Solution : Lets find out the $\frac{1}{5} \%$. So, $\frac{1}{5} \%$ = $\frac{\frac{1}{5}}{100} = \frac{1}{500}$ Hence, the correct answer is $ \frac{1}{500}$.
Question : The given graph shows the number (in hundreds) of trees axed in four cities during the period 2016-2020. Find the year in which the least number of trees are axed.
Option 1: 2016
Option 2: 2020
Option 3: 2019
Option 4: 2017
Correct Answer: 2019
Solution : In 2016, the number of trees axed = 18 + 20 + 18 + 25 = 81 In 2020, the number of trees axed = 22.5 + 21 + 20 + 17.5 = 81 In 2019, the number of trees axed = 24.4 + 19.5
Question : If $\operatorname{cosec} A+\cot A=3$, $0 \leq A \leq 90^{\circ}$, then find the value of cos A.
Option 1: $\frac{3}{4}$
Option 2: $\frac{2}{5}$
Option 3: $\frac{3}{5}$
Option 4: $\frac{4}{5}$
Correct Answer: $\frac{4}{5}$
Solution : Given, $\operatorname{cosec} A+\cot A=3$ ⇒ $\frac{1}{\sin A}+\frac{\cos A}{\sin A}=3$ ⇒ $1+\cos A = 3\sin A$ We know, $\sin^2A+\cos^2A=1$ ⇒ $1+\cos A = 3\sqrt{1-\cos^2A}$ Squaring both sides, ⇒ $(1+\cos A)^2=9(1-\cos^2A)$ ⇒ $1+\cos^2 A+2\cos A=9-9\cos^2A$ ⇒ $10\cos^2A+2\cos A-8=0$ ⇒ $5\cos^2A+\cos A - 4=0$ ⇒ $5\cos^2A+5\cos A-4\cos A
Question : Directions: Select the option that is embedded in the given figure (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since there is a restriction on the rotation of the figure, we will check which of the option figures can exactly fit in the given question figure. By comparison of all the option figures, only the second option figure is embedded in the given question figure.
Question : Directions: A square sheet of paper is folded and punched as shown below. How will it look when opened.
Solution : When the given folded paper is unfolded, it will look like –
Hence, the second option is correct.
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