Staff Selection Commission Sub Inspector Exam
Question : Find the value of $\sin (50^{\circ} + A) – \cos (40^{\circ} - A)$.
Option 1: 2
Option 2: 0
Option 3: –1
Option 4: 1
Correct Answer: 0
Solution : We know, $\sin (90^{\circ}-A)=\cos A$ $\sin (50^{\circ} + A) – \cos (40^{\circ} – A)$ $=\sin (50^{\circ} + A) – \cos (90^{\circ}–(50^{\circ} + A))$ $=\sin (50^{\circ} + A) – \sin (50^{\circ} + A)$ $=0$ Hence, the correct answer is 0.
Question : Comprehension: Read the given passage carefully and answer the questions that follow.
As a society, we have come a long way in terms of progress and development. We have eradicated diseases, explored space, and created technological wonders that were once thought impossible. Yet, there is still one issue that continues to plague us: stupidity. Yes, stupidity. The thing that seems to be contagious and has been spreading faster than the common cold. It's everywhere you look - on social media, in politics, in the workplace. You can't escape it.
It's as if we've all collectively decided that intelligence and common sense are no longer important. Why bother using your brain when you can just rely on your gut feelings and conspiracy theories?
Take politics, for example. It used to be that politicians were expected to be knowledgeable and well-informed about the issues they were dealing with. Now, it seems that all you need is a catchy slogan and some empty promises to win an election.
And don't even get me started on social media. It's a breeding ground for stupidity. People will believe anything they read as long as it confirms their preconceived biases. And don't even think about trying to present them with actual facts and evidence. That's just a waste of time. But it's not just individuals who are to blame for this epidemic of stupidity. Our education system is failing us as well. We're teaching our kids how to pass tests instead of how to think critically and solve problems. It's no wonder we have a generation of adults who can't even find their way around a basic math problem.
Of course, there are some who would argue that stupidity is just a different way of thinking. That it's a valid perspective that deserves to be respected. To those people, I say this: if you want to be stupid, go ahead. Just don't expect the rest of us to respect your opinions when they're based on nothing but ignorance and misinformation.
It's time for us to take a stand against stupidity. We need to start valuing intelligence and critical thinking again. We need to hold our leaders accountable for their actions and demand that they be knowledgeable and well-informed. We need to teach our children how to think, not just how to memorise.
It won't be easy, but it's a fight worth fighting. Because if we don't, we'll be stuck in a world where stupidity reigns supreme, and there's no telling what kind of damage that could do. So let's all do our part and start using our brains again. It's time to put an end to the epidemic of stupidity once and for all.
Question: What could be a suitable title for the passage?
Option 1: The Evils of Social Media
Option 2: The Benefits of Stupidity
Option 3: The Joy of Living in a World of Ignorance
Option 4: The Importance of Critical Thinking
Correct Answer: The Importance of Critical Thinking
Solution : The correct answer to this question is the third option.
The suitable title could indeed be:
"The Importance of Critical Thinking"
This title emphasises the central theme of the passage, which calls for a renewed emphasis on intelligence, and critical thinking,
Question : Directions: Select the related letter cluster from the given alternatives. LMK : STR :: IJH : ?
Option 1: PQO
Option 2: SUT
Option 3: ZAY
Option 4: ADC
Correct Answer: PQO
Solution : Given: LMK : STR :: IJH : ?
Add 7 to the place value of each letter of LMK to obtain the required code – L + 7 = S; M + 7 = T; K + 7 = R Thus, LMK is coded as
Question : Which of the following pair of compound name - formulas is correct? I. Hydrogen chloride --H2Cl II. Hydrogen sulphide --HS2
Option 1: Only II
Option 2: Neither I nor II
Option 3: Only I
Option 4: Both I and II
Correct Answer: Neither I nor II
Solution : The correct option is Neither I nor II.
Hydrogen chloride has the chemical formula HCl, where one hydrogen atom combines with one chlorine atom. Hydrogen sulfide has the chemical formula H2S, where two hydrogen atoms combine with one
Question : Directions: Select the option related to the third term in the same way as the second term is related to the first term. TRAMPOLINE : RTMAOPILEN :: BINOCULARS : ?
Option 1: RSLAVDNOBI
Option 2: ICONVDALSR
Option 3: IBONUCALSR
Option 4: IBONDVALSR
Correct Answer: IBONUCALSR
Solution : Given: TRAMPOLINE : RTMAOPILEN :: BINOCULARS : ?
Interchange the position of letters as shown in the figure to obtain the required code –
Thus, TRAMPOLINE is coded as RTMAOPILEN. Similarly, follow the same pattern for BINOCULARS : ? –
Thus, BINOCULARS is coded as
Question : A boy added all natural numbers from 1 to 12, but he added one number twice, due to which the sum became 80. What is the number that he added twice?
Option 1: 3
Option 2: 2
Option 3: 7
Option 4: 8
Correct Answer: 2
Solution : Sum of the first $n$ natural numbers = $\frac{n(n + 1)}{2}$ Sum of the first 12 natural numbers = $\frac{12(12 + 1)}{2}$ = $\frac{12\times 13}{2}$ = 78 A number is added twice so that the sum becomes 80. The number added twice is (80 –
Question : Study the pie chart and answer the question: The total number of employees of the company working in the production and IT department exceeds the total number of employees working in the Marketing and Accounts departments by ________.
Option 1: 143
Option 2: 164
Option 3: 158
Option 4: 154
Correct Answer: 154
Solution : Given: Total employees = 1400 The total number of employees working in the Production and IT department = $111.6^\circ+72^\circ$ = $183.6^\circ$ The total number of employees working in Marketing and Accounts = $86.4^\circ+57.6^\circ$ = $144^\circ$ Difference = $183.6^\circ-144^\circ=39.6^\circ$ Required number of employees = $\frac{\text{Difference}}{360^\circ}\times$ total
Question : Directions: In the following question, from the given answer figures, select the one in which the question figure is hidden/embedded. (Rotation is not allowed)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the third option figure.
Hence, the third option is correct.
Question : Select the most appropriate SYNONYM of the given word.
Prohibit
Option 1: Aid
Option 2: Allow
Option 3: Ban
Option 4: Assist
Correct Answer: Ban
Solution : The correct choice is the third option.
Explanation:
The word prohibit is a verb that means to formally forbid or disallow something. Similarly, ban is a synonym that denotes the act of officially or legally prohibiting or restricting something. Both of the words convey
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. 4 : 18 :: 12 : ? :: 7 : 51
Option 1: 146
Option 2: 142
Option 3: 148
Option 4: 144
Correct Answer: 146
Solution : Given: 4 : 18 :: 12 : ? :: 7 : 51
Add 2 to the square of the first number, to get the second number – Like, 4 : 18→(4)2 + 2 = 16 + 2 = 18 And, 7 : 51→(7)2
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