Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
Only a few people came to the art exhibition as it was raining hard all day.
(1) few
(2) little
(3) a small amount of
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : There is no improvement required in the sentence.
The sentence is already correctly phrased with a few people to indicate a small number of people, and there is no improvement needed.
Therefore, the correct choice is the fourth option.
Question : The interior angle of a regular polygon exceeds its exterior angle by 108$^\circ$. The number of the sides of the polygon is:
Option 1: 12
Option 2: 16
Option 3: 14
Option 4: 10
Correct Answer: 10
Solution : Given that the interior angle of a regular polygon exceeds its exterior angle by 180$^\circ$. For a regular polygon, each exterior angle = $\frac{360^\circ}{n}$ And each interior angle = $\frac{180^\circ\times (n-2)}{n}$ So, $\frac{180^\circ\times (n-2)}{n}-\frac{360^\circ}{n}=108^\circ$ Or, $180^\circ\times n-108^\circ\times n=720^\circ$ Or, $n=10$ Hence, the correct answer is
Question : The percentage of nitrogen present in ammonium sulphate is:
Option 1: 21%
Option 2: 25%
Option 3: 30.5%
Option 4: 18%
Correct Answer: 21%
Solution : The correct option is 21%.
According to the chemical formula of ammonium sulphate (NH4)2SO4), each molecule of ammonium sulphate includes two ammonium ions (NH4+). One nitrogen atom (N) is present in each ammonium ion (NH4+).
Question : Directions: In a certain code language, ICE is coded as 20, and HOT is coded as 46. How will POT be coded in that language?
Option 1: 54
Option 2: 58
Option 3: 56
Option 4: 55
Correct Answer: 54
Solution : Given: ICE is coded as 20, and HOT is coded as 46.
Add 3 in the sum of the position values of each letter of ICE to obtain the required code – I→9; C→3; E→5 Now, add all the position values and then add 3
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. The passengers were afraid but the captain ___ them that there was no danger.
Option 1: suggested
Option 2: pleaded
Option 3: advise
Option 4: assured
Correct Answer: assured
Solution : The correct choice is the fourth option.
Explanation: "Assured" means to give confidence or certainty to someone, and it accurately conveys the idea that the captain is providing reassurance to the passengers about their safety.
The meanings of the other options are as follows:
Suggested:
Question : Directions: Three of the following four triads are alike in a certain way as they are formed by performing the same mathematical operations among themselves and thus form a group. Which triad does NOT belong to that group?
Option 1: 2 : 5 : 8
Option 2: 5 : 10 : 125
Option 3: 12 : 25 : 1728
Option 4: 3 : 7 : 27
Correct Answer: 5 : 10 : 125
Solution : Let's check the given options – First option: (2 : 5 : 8)→((2 × 2) + 1) = 4 + 1 = 5; (2)3 = 8 Second option: (5 : 10 : 125)→((5 × 2) + 1) = 10 +
Question : Identify the segment in the sentence which contains a grammatical error. Laws and rules are made to safeguarding our rights and protect us.
Option 1: safeguarding our rights
Option 2: Laws and rules
Option 3: are made to
Option 4: and protect us
Correct Answer: safeguarding our rights
Solution : The correct choice is the first option.
Explanation: The error in the original sentence lies in the use of "safeguarding" after "to." When the verb "to" is used in this context, it should be followed by the base form of the verb,
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2, and 3 which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is 4.
You cannot pass as long as you study.
1. provided
2. unless
3. less
4. No improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The second option is the correct answer.
Unless is a conjunction that means except if or if not. In the context of the sentence, it conveys the idea that you will not be able to pass unless you study.
Provided means "only if" which doesn't
Question : The value of $(x^{\frac{1}{3}}+x^{-\frac{1}{3}})(x^{\frac{2}{3}}-1+x^{-\frac{2}{3}})$ is:
Option 1: $x^{-1}+x^{\frac{2}{3}}$
Option 2: $x+x^{-\frac{1}{3}}$
Option 3: $x^{\frac{1}{3}}+x^{–1}$
Option 4: $x+x^{–1}$
Correct Answer: $x+x^{–1}$
Solution : Given: $(x^{\frac{1}{3}}+x^{-\frac{1}{3}})(x^{\frac{2}{3}}-1+x^{-\frac{2}{3}})$ $=x^{\frac{1}{3}}×x^{\frac{2}{3}}-x^{\frac{1}{3}}+x^{\frac{1}{3}}×x^{-\frac{2}{3}}+x^{-\frac{1}{3}}×x^{\frac{2}{3}}-x^{-\frac{1}{3}}+x^{-\frac{1}{3}}×x^{-\frac{2}{3}}$ $=x^{\frac{1}{3}+\frac{2}{3}}-x^{\frac{1}{3}}+x^{\frac{1}{3}-\frac{2}{3}}+x^{-\frac{1}{3}+\frac{2}{3}}-x^{-\frac{1}{3}}+x^{-\frac{1}{3}-\frac{2}{3}}$ $=x^1-x^{\frac{1}{3}}+x^{-\frac{1}{3}}+x^{\frac{1}{3}}-x^{-\frac{1}{3}}+x^{-1}$ $=x+x^{-1}$ Hence, the correct answer is $x+x^{-1}$.
Question : Direction: If MUSICAL is written as KWQKACJ, how can SPRINKLE be written?
Option 1: QRPKLMJG
Option 2: UKTKPMNG
Option 3: QRBKCNJG
Option 4: QNPGLIJC
Correct Answer: QRPKLMJG
Solution : MUSICAL → KWQKACJ
Similarly, SPRINKLE →
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