Staff Selection Commission Combined Graduate Level Exam
Question : The ratio of milk to water in a 100-litres mixture is 2 : 3. 10 litres of this mixture is withdrawn and replaced with milk.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 :
Option 1:
Central Government
Option 2:
State Government
Option 3:
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
Question : For which discovery did William Bradford Shockley, John Bardeen and Walter Houser Brattain jointly receive the Nobel Prize in Physics in 1956?
Option 1: Discovery of transistor effect
Option 2: Discovery of thermionic emission
Option 3: Discovery of electromagnetic induction
Option 4: Discovery of receptors for temperature and touch
Correct Answer: Discovery of transistor effect
Solution : The correct answer is the Discovery of the transistor effect.
The Nobel Prize for Physics in 1956 was jointly awarded to William Bradford, John Bardeen, and Walter Houser Brattain for their discovery of the transistor effect. They were awarded jointly for their
Question : The angle of elevation of an aeroplane from a point on the ground is 45°. After flying for 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 2500 metres, then the speed of the aeroplane in km/h is:
Option 1: $600$
Option 2: $600(\sqrt{3}+1)$
Option 3: $600\sqrt{3}$
Option 4: $600(\sqrt{3}–1)$
Correct Answer: $600(\sqrt{3}–1)$
Solution : Let the vertical height be $h$ and horizontal distance be $B_{1}$ when the elevation is 45° and $B_{2}$ when the elevation is 30°. Using trigonometry ratio, when elevation is 45°. $\tan\theta =\frac{\text{Height}}{\text{Distance}}$ ⇒ $\tan45° = \frac{h}{B_{1}}$ ⇒ $1 = \frac{h}{B_{1}}$ ⇒ $B_{1} = h$ Using
Question : Select the most appropriate ANTONYM of the underlined word.
The manager decided to resign from his post as the bank was declared to be insolvent.
Option 1: Independent
Option 2: Commercial
Option 3: Affluent
Option 4: Bankrupt
Correct Answer: Affluent
Solution : The correct choice is the third option.
Explanation:
The word insolvent describes a situation where an individual or organisation is unable to meet financial obligations and is, in essence, bankrupt. To find the antonym, we look for a word that indicates financial prosperity or wealth.
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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