Staff Selection Commission Combined Graduate Level Exam
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
Question : The sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. While India is home to 75 per cent of tigers in the world, Global Tiger Day – as it is also known – sees awareness events organised in the country, as well as neighbouring Bangladesh and Nepal. B. Its primary objective is to preserve the natural habitat of the tiger. C. International Tiger Day was initiated in 2010, at the Saint Petersburg Tiger Summit. D. This annual event, observed on 29 July, aims to create awareness of tiger conservation.
Option 1: DCAB
Option 2: BADC
Option 3: CDBA
Option 4: CDAB
Correct Answer: CDBA
Solution : The third option is the correct answer.
The paragraph begins by introducing the origin of International Tiger Day at the Saint Petersburg Tiger Summit in 2010 thereby constituting the central idea of the passage (C). This sentence is followed by sentence (D) emphasising its
Question : The civilian Airport of highest altitude is in
Option 1: Tibet
Option 2: Nepal
Option 3: India
Option 4: China
Correct Answer: China
Solution : The correct option is - China
The highest-altitude airport in the world is Daocheng Yading Airport, which was inaugurated in September 2013. It is situated at a height of 4,411 meters in the Sichuan Province of southwest China.
Question : 'Anaconda' one of the world's largest snakes is found in_____.
Option 1: Tropical evergreen forest
Option 2: Monsoon forest
Option 3: Temperate evergreen forest
Option 4: Temperate grasslands
Correct Answer: Tropical evergreen forest
Solution : The correct option is Tropical evergreen forest.
The Anaconda is a large snake species found in South America. The green anaconda is the largest among the species of other anacondas. These are non-venomous, relying on their powerful coils to subdue prey. These
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