Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, some parts of the sentence have errors and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error free, your answer is "No Error".
The old man (1) / is too weak (2) / to walk. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : There are no errors in the sentence. So, the answer is the fourth option: No Error.
The correct sentence is The old man is too weak to walk.
Question : If $p=3+\frac{1}{p}$, then the value of $(p^4+\frac{1}{p^4})$ is:
Option 1: 81
Option 2: 27
Option 3: 120
Option 4: 119
Correct Answer: 119
Solution : Given: $p=3+\frac{1}{p}$ The algebraic identity used is $(p-\frac{1}{p})^2=p^2+\frac{1}{p^2}-2$ $(p-\frac{1}{p})=3$ On squaring both sides of the given equation, we get, $(p-\frac{1}{p})^2=3^2$ ⇒ $p^2+\frac{1}{p^2}–2=9$ ⇒ $p^2+\frac{1}{p^2}=9+2$ ⇒ $p^2+\frac{1}{p^2}=11$ On squaring both sides of the given equation, we get, $(p^2+\frac{1}{p^2})^2=11^2$ ⇒ $p^4+\frac{1}{p^4}+2=121$ ⇒ $p^4+\frac{1}{p^4}=121–2$ ⇒ $p^4+\frac{1}{p^4}=119$ Hence, the
Question : If $a^3-b^3=56$ and $a-b=2$, what is the value of $(a^2+b^2)$?
Option 1: 12
Option 2: 20
Option 3: 28
Option 4: 32
Correct Answer: 20
Solution : Given: $a^3-b^3=56$ and $a-b=2$ Now, $(a-b)^3=a^3-b^3-3ab(a-b)$ ⇒ $2^3=56-3ab×2$ ⇒ $6ab=48$ ⇒ $ab=8$ Now, $(a-b)^2=a^2+b^2-2ab$ ⇒ $2^2=a^2+b^2-2×8$ ⇒ $a^2+b^2=4+16$ $\therefore a^2+b^2=20$ Hence, the correct answer is 20.
Question : Raga Kameshwari was composed by
Option 1: Ustad Amzad Ali Khan .
Option 2: None of the options .
Option 3: Pandit Ravi Shankar .
Option 4: Uday Shankar .
Correct Answer: Pandit Ravi Shankar .
Solution : The correct option is - Pandit Ravi Shankar .
In 1972, Pandit Ravi Shankar created the raga Kameshwari. In addition to being a composer of Hindustani classical music, Ravi Shankar was one of the most well-known sitar players of the 20th century.
Question : Directions: Study the following graph which shows the production (in thousands) of different items and answer the question.
The ratio between the number of keyboards produced by the company in the year 2006, 2007 and 2008, respectively, is:
Option 1: 1 : 2 : 3
Option 2: 3 : 4 : 5
Option 3: 3 : 6 : 4
Option 4: 3 : 4 : 6
Correct Answer: 3 : 6 : 4
Solution : The ratio between the number of keyboards produced by the company in the years 2006, 2007, and 2008 = 15000 : 30000 : 20000 = 3 : 6 : 4 Hence, the correct answer is 3 : 6 : 4.
Question : India and U.S. have decided to finalise agreements related to which of the following ?
Option 1: Trade and Investment
Option 2: Intellectual Property
Option 3: Traditional Knowledge
Option 4: All of the above
Correct Answer: All of the above
Solution : The Correct Answer is All of the above
Based on shared values and generally converging geopolitical interests, Washington and New Delhi have been pursuing a "strategic partnership" since 2004. Since both nations have agreements covering trade, investment, intellectual property, and traditional knowledge,
Question : In $\triangle$ABC and $\triangle$DEF, $\angle$A = $55^{\circ}$, AB = DE, AC = DF, $\angle$E = $85^{\circ}$ and $\angle$F = $40^{\circ}$. By which property are $\triangle$ABC and $\triangle$DEF congruent?
Option 1: SAS property
Option 2: ASA property
Option 3: RHS property
Option 4: SSS property
Correct Answer: SAS property
Solution : In $\triangle$ DEF, $\angle$ D + $\angle$ E + $\angle$ F = $180^{\circ}$ ⇒ $\angle$ D + $85^{\circ}$ + $40^{\circ}$ = $180^{\circ}$ ⇒ $\angle$ D = $180^{\circ} - 85^{\circ} - 40^{\circ}$ = $55^{\circ}$ In $\triangle$ ABC and $\triangle$ DEF, AB = DE AC =
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).
London is one of the oldest towns of England.
(1) in
(2) at
(3) besides
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct choice is the first option.
The sentence is improved by replacing "of" with "in" because "in" is the correct preposition to use when indicating the location or place associated with something. This change makes the sentence grammatically correct and precise, meaning that
Question : In nuclear reactors, graphite is used as a / an
Option 1: Fuel
Option 2: Lubricant
Option 3: Moderator
Option 4: Insulator
Correct Answer: Moderator
Solution : The correct option is Moderator.
Graphite is used in nuclear reactors as a "moderator." A moderator is a substance that slows neutrons generated during nuclear fission processes. Slowing down neutrons increases their chance of interacting with fissile materials like uranium-235 or plutonium-239, boosting the possibility
Question : Aarti can type 85 pages in 10 hours. Aarti and Bina together can type 500 pages in 40 hours. How much time will Bina take to type 40 pages?
Option 1: 10 hours
Option 2: 15 hours
Option 3: 14 hours
Option 4: 12 hours
Correct Answer: 10 hours
Solution : Aarti can type 85 pages in 10 hours. Aarti can type in 1 hour = $\frac{85}{10} = 8.5$ pages Aarti and Bina together can type 500 pages in 40 hours. Aarti and Bina together can type in 1 hour $=\frac{500}{40} = 12.5$ pages Bina
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