Staff Selection Commission Combined Graduate Level Exam
Question : What is the reflection of the point (–3, 1) in the line $x=-2$?
Option 1: (–1, 1)
Option 2: (–3, –5)
Option 3: (1, 1)
Option 4: (–3, 5)
Correct Answer: (–1, 1)
Solution : To find: Reflection of the point (–3, 1) in the line $x=-2$. Reflection of a point $(x_1, y_1)$ in a line $x=a$ is $(-x_1+2a, y_1)$. So, reflection of the point (–3, 1) in the line $x=-2$, = (–(–3) + 2(–2), 1) = (–1, 1)
Question : The Reserve Bank of India introduced a comprehensive regulatory framework for NBFC-MFI on __________.
Option 1: 10 December 2015
Option 2: 2 December 2011
Option 3: 8 December 2013
Option 4: 5 December 2012
Correct Answer: 2 December 2011
Solution : The correct option is 2 December 2011.
The Reserve Bank initially implemented a comprehensive regulatory framework for Non-Banking Financial Companies-Micro Finance Institutions (NBFC-MFIs) in December 2011. This framework established eligibility criteria for microfinance loans that were tied to essential features of microfinance, specifically
Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: 1. All mangoes are golden in colour. 2. No golden-coloured things are cheap. Conclusions: I. All mangoes are cheap. II. Golden-coloured mangoes are not cheap.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Either Conclusion I or Conclusion II follows
Option 4: Both conclusions I and II follow
Correct Answer: Only conclusion II follows
Solution : As per the given information, let's analyse the conclusions – Conclusion (I): All mangoes are cheap – Based on the given statements, it is given no golden-coloured things are cheap and all mangoes are golden in colour. Therefore, from this, it can
Question : If $\cos27^{\circ}$ = $x$, then the value of $\tan 63°$ is:
Option 1: $\frac{x}{\sqrt{1–x^2}}$
Option 2: $\frac{x}{\sqrt{1+x^2}}$
Option 3: $\frac{\sqrt{1–x^2}}{x}$
Option 4: $\frac{\sqrt{1+x^2}}{x}$
Correct Answer: $\frac{x}{\sqrt{1–x^2}}$
Solution : In $\triangle ABC$, ⇒ $\cos\ 27°$ = $x$ ⇒ $\frac{AB}{BC}$ = $\frac{x}{1}$ By Pythagoras theorem, Perpendicular2 + Base2 = Hypotenuse2 ⇒ AC2 + AB2 = BC2 ⇒ AC2 = BC2 – AB2 = $1–x^2$ ⇒ AC
Question : Direction: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
0.15, 0.3, ? , 1.2, 2.4
Option 1: 0.6
Option 2: 0.9
Option 3: 0.06
Option 4: 4.8
Correct Answer: 0.6
Solution : Given –
The pattern follow for the series is –
0.15 × 2 = 0.3; 0.3 × 2 = 0.6; 0.6 × 2 = 1.2; 1.2 × 2 = 2.4
The series is 0.15, 0.3, 0.6,
Question : The largest freshwater lake in India is _____.
Option 1: Chilika
Option 2: Kolleru
Option 3: Vembanad
Option 4: Wular
Correct Answer: Wular
Solution : The correct answer is Wular.
The Wular Lake is the largest freshwater lake in India. Additionally, it is one of Asia's biggest freshwater lakes. The Bandipora district of Jammu and Kashmir, India, is home to Wular Lake. Freshwater, saltwater, oxbow, natural, crater, and artificial
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).
I did not see you for a long time.
(1) have not seen
(2) saw
(3) No Improvement
(4) have not been seeing
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct improvement for the sentence is: have not seen
Explanation: This option is the correct improvement because it uses the present perfect tense, "have not seen," which is more suitable for expressing the idea that the speaker hasn't seen the person for a long
Question : It is easy to burst a gas filled balloon with a needle, than with a nail, it is because
Option 1: nail is more longer than needle
Option 2: nail exerts more pressure than needle on the balloon
Option 3: needle exerts more pressure than nail on the balloon
Option 4: gas is reactive with the needle
Correct Answer: needle exerts more pressure than nail on the balloon
Solution : The correct option is needle exerts more pressure than nail on the balloon.
Because the needle has a smaller surface area, the force is concentrated over a smaller region of the balloon, resulting in increased pressure that
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. ___ man standing in that corner is a policeman in plain clothes.
Option 1: Some
Option 2: Any
Option 3: A
Option 4: The
Correct Answer: The
Solution : The correct choice is the fourth option.
Explanation: The sentence describes a specific man who is standing in a corner, and this man is identified as a policeman in plain clothes. So, the definite article "the" is used to specify and identify
Question : Direction: In the following question, select the one which is different from other three alternatives.
Option 1: 34 - 30
Option 2: 44 - 31
Option 3: 61 - 12
Option 4: 25 - 21
Correct Answer: 44 - 31
Solution : Let's check the options —
First option: 34 - 30; 34 – 30 = 4; 4 is a perfect square.
Second option: 44 - 31; 44 – 31 = 13; 13 is not a perfect square. This option is different from the other
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