Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (6, 17, 408) (13, 27, 1404)
Option 1: (9, 27, 245)
Option 2: (17, 28, 952)
Option 3: (5, 82, 1200)
Option 4: (4, 26, 416)
Correct Answer: (4, 26, 416)
Solution : Given: (6, 17, 408); (13, 27, 1404)
Multiply the first and the second numbers and then multiply the resultant by four to get the third number of the triad. (6, 17, 408)→6 × 17 = 102; 102 × 4 = 408 (13, 27,
Question : Find the value of the given expression. $\sqrt{20-\sqrt{20-\sqrt{20-\sqrt{20-\cdots \infty}}}}$
Option 1: 4
Option 2: 6
Option 3: 5
Option 4: 2
Correct Answer: 4
Solution : Given expression, $\sqrt{20-\sqrt{20-\sqrt{20-\sqrt{20-\cdots \infty}}}}$ Let us equate this with $y$ ⇒ $y=\sqrt{20-\sqrt{20-\sqrt{20-\sqrt{20-\cdots \infty}}}}$ ⇒ $y=\sqrt{20-y}$ Squaring both sides, ⇒ $y^2=20-y$ ⇒ $y^2+y-20=0$ ⇒ $y^2+5y-4y-20=0$ ⇒ $y(y+5)-4(y+5)=0$ ⇒ $(y+5)(y-4)=0$ ⇒ $y=-5$ and $y=4$ Hence, the correct answer is 4.
Question : The Constitution forbids the employment of children below the age of________ years for dangerous jobs like factories and mines.
Option 1: 15
Option 2: 14
Option 3: 16
Option 4: 18
Correct Answer: 14
Solution : The correct answer is 14.
The key legislation related to the employment of children in India is the "Child and Adolescent Labour (Prohibition and Regulation) Act, 1986" (often referred to as the Child Labour Act). This Act prohibits the employment of children below the age
Question : Direction: In each of the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
BR _ _ NB _ O _ NB
Option 1: OWOW
Option 2: RORO
Option 3: WNWN
Option 4: OWRW
Correct Answer: OWRW
Solution : Given:
We have to check the order of the letters in the given series.
To fill the series we have to divide the series, BR _ _ / NB _ O / _ NB.
So, the series
Question : If $\tan x = –\frac{12}{5}$, where $x$ lies in the second quadrant, what is the value of $\sin x-\cot x$?
Option 1: $\frac{209}{156}$
Option 2: $\frac{169}{156}$
Option 3: $\frac{156}{209}$
Option 4: $\frac{144}{169}$
Correct Answer: $\frac{209}{156}$
Solution : In the second quadrant, $\sin x$ and $\operatorname{cosec x}$ are positive. $\tan x = –\frac{12}{5}$ $⇒\cot x=\frac{1}{\tan x}=-\frac{5}{12}$ We know, $\sec^2x -\tan^2x=1$ $⇒\sec^2x=1+(–\frac{12}{5})^2$ $⇒\sec^2x=1+\frac{144}{25}$ $⇒\sec^2x=\frac{169}{25}$ $⇒ \sec x=\frac{13}{5}$ $⇒\cos x = \frac{5}{13}$ $\therefore\sin x = \sqrt{1-\cos^2x}=\sqrt{1-\frac{25}{169}}=\frac{144}{169}=\frac{12}{13}$ $\sin x - \cot x = \frac{12}{13} – (-\frac{5}{12})
Question : Select the most appropriate synonym of the given word.
Authentic
Option 1: Genuine
Option 2: False
Option 3: Doubtful
Option 4: Corrupt
Correct Answer: Genuine
Solution : The correct option is the first option.
In the context of the word authentic, genuine is the most appropriate synonym because it closely aligns with the meaning of authentic, which means genuine, real, or true. It refers to something that is not a
Question : Directions: Select the odd group of numbers. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
Option 1: (57 – 53 – 49)
Option 2: (60 – 56 – 52)
Option 3: (50 – 46 – 42)
Option 4: (47 – 43 – 37)
Correct Answer: (47 – 43 – 37)
Solution : Let's check each option – First option: (57 – 53 – 49); 57 – 4 = 53 and 53 – 4 = 49 Second option: (60 – 56 – 52); 60 – 4 = 56 and 56 – 4 = 52
Question : $A_1$ and $A_2$ are two regular polygons. The sum of all the interior angles of $A_1$ is $1080^{\circ}$. Each interior angle of $A_2$ exceeds its exterior angle by $132^{\circ}$. The sum of the number of sides $A_1$ and $A_2$ is:
Option 1: 21
Option 2: 22
Option 3: 23
Option 4: 24
Correct Answer: 23
Solution : Let the sides of polygon $A_1$ be $n$. The sum of all the interior angles $A_1 = 1080^{\circ}$ $\Rightarrow (n-2)\times 180^{\circ} = 1080^{\circ}$ $\Rightarrow (n-2) =6$ $\Rightarrow n=8$ Now, Let $I$ be the interior angle and $E$ be the exterior angle. $\Rightarrow I-E = 132^{\circ}$.....(1)
Question : Study the following table and answer the question that follows.
Total number of students enrolled
What is the average number of students who opted for other than statistics subjects in schools A and D?
Option 1: 7340
Option 2: 360
Option 3: 355
Option 4: 350
Correct Answer: 350
Solution : In school A, Number of students opted for other than statistics subject = (100 - 20)% of 450 = $\frac{80}{100}\times 450$ = 360 In school D, Number of students opted for other than statistics subject = (100 - 15)% of 400 = $\frac{85}{100}\times 400$ =
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at 1, 2, and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is 4.
He performed below par in the examination.
(1) par below
(2) poorly
(3) below parr
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Solution : The fourth option is the correct choice.
The sentence is grammatically correct. The meaning of the phrase 'below par' is worse than expected, which is proper as per the context of the question.
Therefore, the given sentence requires no improvement.
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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