Staff Selection Commission Combined Graduate Level Exam
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. L can be represented by 12,24, etc., and R can be represented by 55, 67, etc. Similarly, you have to identify the set for the word TONE.
Option 1: 85, 40, 58, 75
Option 2: 66, 21, 77, 56
Option 3: 97, 33, 65, 44
Option 4: 78, 57, 89, 32
Correct Answer: 97, 33, 65, 44
Solution : Given – TONE
Option first: 85, 40, 58, 75
TONK
Option second: 66, 21, 77, 56
Option third: 97, 33, 65, 44
TONE.
The third set represents the word TONE.
Option fourth: 78, 57, 89, 32
TUNE
Hence, third option
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the options given. Select the most appropriate option for each number. Castles are home to a rich history. From blood feuds to tragic pasts, (1)______ love affairs to alleged ghosts, no castle is ever (2)______ a secret to unveil. Known locally as Chateaux Picomtal, Picomtal Castle (3)______ came under new ownership. During the renovation of the (4)______, a surprising discovery was made. Messages (5)______long ago were found on the floorboards of (6)______ upper chambers. The messages were written (7)______1880 and 1881 by Joachim Martin; the carpenter (8)______ installed the flooring. His messages were a diary of 72 entries of his daily (9)______, personal thoughts along with his emotions and feelings. Joachim’s (10)______is indeed a very personal account of the history of those times. The discovery gives us an honest look at an average person’s daily life over 135 years ago. Question: Select the most appropriate option to fill in the blank no. 3.
Option 1: momentarily
Option 2: presently
Option 3: recently
Option 4: justly
Correct Answer: recently
Solution : The correct choice will be the third option.
To complete the sentence logically, the word recently is the most suitable option. This indicates that the castle has recently changed ownership.
Therefore, the completed sentence would read: "Known locally as Chateaux Picomtal, Picomtal Castle recently came
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
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