Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Pointing towards a photo, Rakesh said, "She is the daughter of the only son of my grandfather". How is the girl related to Rakesh?
Option 1: Sister
Option 2: Daughter
Option 3: Granddaughter
Option 4: Cousin
Correct Answer: Sister
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above family tree, the girl is the sister of Rakesh. Hence, the first
Question : If $\sec ^2 \mathrm{~A}+\tan ^2 \mathrm{~A}=3$, then what is the value of $\cot \mathrm{A}$?
Option 1: $\frac{1}{\sqrt{3}}$
Option 2: $0$
Option 3: $1$
Option 4: $\sqrt{3}$
Correct Answer: $1$
Solution : Given: $\sec ^2\mathrm{A}+\tan ^2 \mathrm{A}=3$ ⇒ $\frac{1}{\cos^2 \mathrm{A}} + \frac{\sin^2\mathrm{A}}{\cos^2\mathrm{A}} = 3$ ⇒ $1+\sin^2\mathrm{A} = 3\cos^2\mathrm{A}$ ⇒ $\sin^\mathrm{A} + \cos^2\mathrm{A} + \sin^2\mathrm{A} = 3 \cos^2\mathrm{A}$ ⇒ $2\sin^2\mathrm{A} = 2\cos^2\mathrm{A}$ ⇒ $\frac{\sin^2\mathrm{A}}{\cos^2\mathrm{A}} = 1$ ⇒ $\tan^2\mathrm{A} = 1$ ⇒ $\tan\mathrm{A} = 1$ $\therefore$ $\cot\mathrm{A} = 1$
Question : Which of the following is India's military offensive against Pakistan in the Kargil War?
Option 1: Operation Kargil
Option 2: Operation LOC
Option 3: Operation Vijay
Option 4: Operation Success
Correct Answer: Operation Vijay
Solution : The correct answer is Operation Vijay.
The Indian Army launched "Operation Vijay" in 1999 during the Kargil War to retake Indian territory from Pakistani invaders in the Kargil Drass sector. The Kargil War also referred to as the Kargil conflict, was an armed conflict
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).
This survey is concerning your health as well as that of your family.
(1) concerns with
(2) is concerned with
(3) concerns to
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
''Concerning'' should be replaced with ''is concerned with'' to convey the intended meaning that the survey is related to one's health and the health of one's family. The use of the gerund form is incorrect here.
Question : Direction: In the following question, select the related number from the given alternatives.
20 : 11 :: 102 : ?
Option 1: 52
Option 2: 49
Option 3: 61
Option 4: 96
Correct Answer: 52
Solution : Given:
Like, 20 ÷ 2 = 10; 10 + 1 = 11
Similarly, 102 ÷ 2 = 51; 51 + 1 = 52
Hence, the first option is correct.
Question : A reduction of 20% in the price of sugar enables a purchaser to obtain 8 kg more for Rs. 160. Then the price per kg before the reduction was:
Option 1: Rs. 5
Option 2: Rs. 6
Option 3: Rs. 10
Option 4: Rs. 4
Correct Answer: Rs. 5
Solution : Given: A reduction of 20% in the price of sugar enables a purchaser to obtain 8 kg more for Rs. 160. Let the original price be Rs. $100x$. After a reduction of 20%, the price decreased by Rs. $20x$. Rs. $20x$ is the cost
Question : If the average of $s$ numbers is $r^4$ and the average of $r$ numbers is $s^4$, then find the average of all $r+s$ numbers.
Option 1: $r s\left(r^2+s^2-r s\right)$
Option 2: $rs$
Option 3: ${r}^2+s^2$
Option 4: $rs\left(r^2+s^2\right)$
Correct Answer: $r s\left(r^2+s^2-r s\right)$
Solution : Given, the average of $s$ numbers is $r^4$ and the average of $r$ numbers is $s^4$ Total sum of $s$ numbers = $s\times r^4=sr^4$ Total sum of $r$ numbers = $r\times s^4= rs^4$ Now, the average of all $r+s$ numbers = $\frac{(rs^4+sr^4)}{ (r+s)}$
Question : Select the option that can be used as a one-word substitution for the given group of words.
Certain to happen.
Option 1: Justifiable
Option 2: Indispensable
Option 3: Convertible
Option 4: Inevitable
Correct Answer: Inevitable
Solution : The correct one-word substitute is the fourth option.
Inevitable describes something that is unavoidable, certain to happen, or bound to occur, often due to circumstances, natural laws, or conditions that cannot be changed or prevented.
The meanings of the other options are as follows:
Question : Money transfer through mobile is called_______________.
Option 1: IFSC
Option 2: ATM
Option 3: IMPS
Option 4: IFS
Correct Answer: IMPS
Solution : The correct answer is IMPS.
In India, money transfer by mobile is commonly referred to as IMPS, which stands for Immediate Payment Service. IMPS is a real-time interbank electronic payment transfer service that allows people to send and receive money using their phones. People
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
A book market / was been operated by some readers / in the street when / they reached there.
Option 1: they reached there.
Option 2: A book market
Option 3: was been operated by some readers
Option 4: in the street when
Correct Answer: was been operated by some readers
Solution : The correct choice is the third option.
The use of "was been" is incorrect, as only "was" should be used because the sentence is in the simple past tense. "Was operated" is the correct usage to convey that the
The Question containing Inaapropriate or Abusive Words
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The Question is not relevant to User
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