Staff Selection Commission Combined Graduate Level Exam
Question : Why the Earth is having its own atmosphere ?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The correct answer is gravity.
Earth has atmosphere because it has gravity which keeps all the gases, water vapours and other mass carrying materials attached to the earth's crust. While air pressure is directly related to gravity on earth i.e. more the height less would be
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).
Careful drivers never take eyes of the road.
(1) by
(2) from
(3) off
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct answer is the third option.
In this sentence, the word "of" is incorrect. It should be replaced with the preposition that means away from or diverted from. The correct preposition is off in this context, which means to divert one's attention away from
Question : If $x+\frac{1}{x}=2 \sqrt{5}$ where $x>1$, then the value of $x^3-\frac{1}{x^3}$ is:
Option 1: 82
Option 2: 76
Option 3: 86
Option 4: 78
Correct Answer: 76
Solution : Given: $x+\frac{1}{x}=2 \sqrt{5}$ ⇒ $(x+\frac{1}{x})^2=(2 \sqrt{5})^2$ ⇒ $x^2+\frac{1}{x^2}+2=20$ ⇒ $x^2+\frac{1}{x^2}=18$ -------------(i) ⇒ $x^2+\frac{1}{x^2}-2=18-2=16$ ⇒ $(x-\frac{1}{x})^2=(4)^2$ ⇒ $x-\frac{1}{x}=4$ -------------(ii) So, $x^3-\frac{1}{x^3}$ = $(x-\frac{1}{x})(x^2+\frac{1}{x^2}+x×\frac{1}{x})$ = 4 × (18 + 1) = 76 Hence, the correct answer is 76.
Question : The ratio of milk to water in a 100-litres mixture is 2 : 3. 10 litres of this mixture is withdrawn and replaced with milk. This process is repeated 2 more times. What is the percentage of milk in the final mixture?
Option 1: 56.26%
Option 2: 54.27%
Option 3: 58.21%
Option 4: 51.24%
Correct Answer: 56.26%
Solution : Proportion of water after replacement = Proportion of water before replacement × ($\frac{\text{Volume before addition}}{\text{Volume after addition}}$)(number of replacements) ⇒ Proportion of water after replacement = $\frac{3}{5} × (\frac{90}{100}$)3 = $\frac{2187}{5000}$ So, the volume of water after replacements = $\frac{2187}{5000}$ × 100 =
Question : The word 'direct free kick' is related to which of the following sports?
Option 1: Basketball
Option 2: Baseball
Option 3: Volleyball
Option 4: Football
Correct Answer: Football
Solution : The correct option is Football.
The word "direct free kick" refers to the sport of football, which is sometimes referred to as soccer worldwide. In football, a team is awarded a direct free kick when the opposing team fouls and the kick can be made
Question : The areas of three adjacent faces of a cuboidal solid block of wax are 216 cm2, 96 cm2 and 144 cm2. It is melted and 8 cubes of the same size are formed from it. What is the lateral surface area (in cm2) of 3 such cubes?
Option 1: 648
Option 2: 432
Option 3: 576
Option 4: 288
Correct Answer: 432
Solution : Let the side of the new cube be $a$. Square of the volume of a cuboid = Product of areas of three adjacent faces of the cuboid According to the question, $\Rightarrow 8a^3\ =\ \sqrt{\left ( 216\ \times 96\ \times 144 \right )}$ $\Rightarrow 8a^3\
Question :
RRBs are owned by :
Central Government
State Government
Sponsor Bank
Option 4: Jointly by all of the above
Correct Answer: Jointly by all of the above
Solution : The correct option is Jointly by all of the above.
Regional Rural Banks, or RRBs, are owned by a number of different organizations. A nationalized bank, which owns most of the shares, sponsors them. In addition, the sponsor bank, the
Question : Directions: By interchanging the given two signs which of the following equations will be not correct? – and ×
Option 1: 20 × 12 + 6 – 16 ÷ 8 = 20
Option 2: 16 × 91 ÷ 13 + 5 – 3 = 24
Option 3: 20 × 8 – 4 ÷ 2 + 3 = 7
Option 4: 4 × 5 – 36 ÷ 6 + 10 = 10
Correct Answer: 4 × 5 – 36 ÷ 6 + 10 = 10
Solution : Given: – and ×
Replace the given signs in the options one by one with the original signs in the given equation. First option: – and × 20 × 12 + 6 – 16 ÷
Question : Sentences of a paragraph are given below. While the first and the last sentences (S1 and S6) are in the correct order, the sentences in between are jumbled up and named P, Q, R, and S. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
(S1) Newspapers, especially of the popular variety, aim to do two things: to inform and to entertain.
(P) Entertainment may be principally found in the centre pages of the newspaper in some of the feature articles and in some local news stories. (Q) The principal aim of the short news report on the front pages is to inform. (R) Most newspapers are published daily, and the news reporters must make sure that they have up-to-the-minute news. (S) In their news reports, they will aim to create a sense of immediacy, to convey the impression that they have 'rushed' the news to the reader and 'that the information contained in the very latest.'
(S6) Reporters also wish to create a sense of authenticity, that is, that their news is accurate and genuine.
Option 1: Q, S, R, P
Option 2: R, P, S, Q
Option 3: S, R, P, Q
Option 4: P, Q, R, S
Correct Answer: P, Q, R, S
Solution : The correct order is the fourth option, i.e., P, Q, R, S.
Sentence (P) comes first after S1 because it expands on the aspect of entertainment. After that, sentence (Q) is the most appropriate because it introduces the primary purpose
Question : A and B can do a work in $26 \frac{2}{3}$ days. B and C together can complete the same work in 48 days, while A and C together can complete the same work in 30 days. How long (in days) will A alone take to complete 60% of the work?
Option 1: 20
Option 2: 32
Option 3: 24
Option 4: 36
Correct Answer: 24
Solution : Use : Work = Efficiency × Time According to the question LCM of $\frac{80}{3}$, 48 and 30 = 720 ⇒ Efficiency of A and B = 720 × $\frac{3}{80}$ = 27 ⇒ Efficiency of B and C = $\frac{720}{48}$ = 15 ⇒ Efficiency of A
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