Staff Selection Commission Combined Graduate Level Exam
Question : Persons suffering from myopia are advised to use
Option 1: Convex lens
Option 2: Concave lens
Option 3: Plano-convex lens
Option 4: Plano-concave lens
Correct Answer: Concave lens
Solution : The correct answer is the Concave lens.
Myopia is a medical condition in which a person can see nearby objects clearly, but distant objects appear blurred. It is also known as nearsightedness. It happens when the eyeball becomes too long or oval-shaped, because
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).
He parts his hair in the centre.
(1) at the centre
(2) near the centre
(3) in the middle
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct improvement for the sentence can be: in the middle
Explanation: This option is a suitable alternative because it maintains the clarity of the original sentence and effectively conveys the intended meaning. "In the middle" means that the hair is parted exactly in the
Question : Comprehension:
Read the passage and answer the questions that follow.
Cambridge was my metaphor for England, and it was strange that when I left it had become altogether something else because I had met Stephen Hawking there. It was on a walking tour through Cambridge that the guide mentioned Stephen Hawking, ‘poor man, who is quite disabled now, though he is a worthy successor to Isaac Newton, whose chair he has at the university.’ And I started because I had quite forgotten that this most brilliant and completely paralyzed astrophysicist, (scholar of astrophysics — a branch of physics dealing with stars, planets, etc.) the author of A Brief History of Time, one of the biggest best-sellers ever, lived here. When the walking tour was done, I rushed to a phone booth and, almost tearing the cord so it could reach me outside, phoned Stephen Hawking’s house. There was his assistant on the line and I told him I had come in a wheelchair from India (perhaps he thought I had propelled myself all the way) to write about my travels in Britain. I had to see Professor Hawking — even ten minutes would do. “Half an hour,” he said. “From three-thirty to four.”And suddenly I felt weak all over. Growing up disabled, you get fed up with people asking you to be brave as if you have a courage account on which you are too lazy to draw a cheque. The only thing that makes you stronger is seeing somebody like you, achieving something huge. Then you know how much is possible and you reach out further than you ever thought you could. “I haven’t been brave,” said his disembodied computer-voice, the next afternoon.“I’ve had no choice.” Surely, I wanted to say, living creatively with the reality of his disintegrating body was a choice? But I kept quiet because I felt guilty every time I spoke to him, forcing him to respond. There he was, tapping at the little switch in his hand, trying to find the words on his computer with the only bit of movement left to him, his long, pale fingers. Every so often, his eyes would shut in frustrated exhaustion. And sitting opposite him I could feel his anguish, the mind buoyant with thoughts that came out in frozen phrases and sentences stiff as corpses.
Question:
Which of these facts is NOT true about Stephen Hawking?
Option 1: A worthy contemporary of Newton
Option 2: A professor at Cambridge
Option 3: A brilliant astrophysicist
Option 4: A paralysed man
Correct Answer: A worthy contemporary of Newton
Solution : The correct choice is the first option.
Explanation: The passage mentions that Stephen Hawking is a "worthy successor to Isaac Newton," not a contemporary. Being a successor implies that he came after Newton in the same field, rather than living and
Question : Select the option that can be used as a one-word substitute for the given group of words. A room where dead bodies are kept until burial.
Option 1: Sanatorium
Option 2: Museum
Option 3: Mortuary
Option 4: Safari
Correct Answer: Mortuary
Solution : The third option is the correct answer.
A mortuary is a facility designed for the storage of deceased bodies before burial or cremation. It is a specific term associated with the handling and preservation of bodies after death.
The meanings of the other options are
Question : Simplify the following expression: $[(1 + p)(1 + p^2)(1 + p^4)(1 + p^8)(1 + p^{16})(1 - p) - 1]$
Option 1: $-p^{32}$
Option 2: $p^{32}$
Option 3: $(1 + p^{32})$
Option 4: $(1 - p^{32})$
Correct Answer: $-p^{32}$
Solution : Given: $[(1+p)(1+p^2)(1+p^4)(1+p^8)(1+p^{16})(1 - p) - 1]$ = $[(1+p)(1-p)(1+p^2)(1+p^4)(1+p^8)(1+p^{16})-1]$ = $[(1-p^2)(1+p^2)(1+p^4)(1+p^8)(1+p^{16})-1]$ = $[(1-p^4)(1+p^4)(1+p^8)(1+p^{16})-1]$ = $[(1-p^8)(1+p^8)(1+p^{16})-1]$ = $[(1-p^{16})(1+p^{16})-1]$ $ = [(1 - p^{32}) -1]$ $ = -p^{32}$ Hence, the correct answer is $-p^{32}$.
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. See me tomorrow without___.
Option 1: falls
Option 2: failure
Option 3: fail
Option 4: falling
Correct Answer: fail
Solution : The correct choice is the third option.
Explanation: "Without fail" is a common phrase used to indicate that something should be done without any exception or failure. It accurately conveys the intended meaning of the sentence.
So, the sentence would be: See me tomorrow without
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.
The frog adopts itself to live both in water and on land.
Option 1: frog adepts itself
Option 2: frog alters itself
Option 3: No substitution
Option 4: frog adapts itself
Correct Answer: frog adapts itself
Solution : The correct choice is the fourth option.
Adapt means to make something suitable for a new use or purpose or modify it, whereas adopt means to legally take another's child and bring it up as one's own. In the context of the sentence,
Question : If $M = 0.1 + (0.1)^2 + (0.01)^2$ and $N = 0.3 + (0.03)^2 + (0.003)^2$, then what is the value of $(M+ N)$?
Option 1: 0.411009
Option 2: 0.413131
Option 3: 0.313131
Option 4: 0.131313
Correct Answer: 0.411009
Solution : $M = 0.1 + (0.1)^2 + (0.01)^2$ $= 0.1 + 0.01 + 0.0001$ $= 0.1101$ $N = 0.3 + (0.03)^2 + (0.003)^2$ $= 0.3 + 0.0009 + 0.000009$ $= 0.300909$ We can add $M$ and $N$ to get the final result. So, $M + N
Question : Directions: In this question, three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements. Statements: All clowns are books. Some books are heavy. Some heavy are trucks. Conclusions: I. Some books are clowns. II. All books are heavy. III. Some trucks are heavy.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions I and III follow
Option 3: Only conclusion I follows
Option 4: None of the conclusions follow
Correct Answer: Only conclusions I and III follow
Solution : The possible Venn diagram, according to the given statements is as follows – Conclusion I: Some books are clowns – From the above diagram, we can see, that some parts of the circle of books are inside the clown and
Question : The ratio of expenditure to savings of a woman is 5 : 1. If her income and expenditure are increased by 10% and 20%, respectively, then find the percentage change in her savings.
Option 1: 55%
Option 2: 60%
Option 3: 50%
Option 4: 40%
Correct Answer: 40%
Solution : Given: The ratio of expenditure to savings of a woman is 5 : 1. Let the initial expenditure and savings be 500 units and 100 units respectively. So, the initial income = 500 + 100 = 600 units After her income and expenditure are increased
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