Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select a different one.
Option 1: EIJN
Option 2: DHIM
Option 3: BDFH
Option 4: CGHL
Correct Answer: BDFH
Solution : Let's check the options – First option: EIJN; E + 4 = I; I + 1 = J; J + 4 = N Second option: DHIM; D + 4 = H; H + 1 = I; I + 4 = M Third option: BDFH; B
Question : Which of the following numbers is divisible by 99?
Option 1: 31548
Option 2: 60687
Option 3: 44775
Option 4: 84456
Correct Answer: 60687
Solution : If a number is divisible by 99, then it must be divisible by 11 and 9, because 99 = 11 × 9 To check the divisibility by 11 we have to check the difference of the sum of odd place digits and the sum of
Question : If $(2+\sqrt{3})a=(2-\sqrt{3})b=1$, then the value of $\frac{1}{a}+\frac{1}{b}$ is:
Option 1: $1$
Option 2: $2$
Option 3: $2\sqrt{3}$
Option 4: $4$
Correct Answer: $4$
Solution : $(2+\sqrt{3})a=(2-\sqrt{3})b=1$ $(2+\sqrt{3})a=1$ $⇒ a = \frac{1}{2+\sqrt{3}}$ $⇒ \frac{1}{a} = 2-\sqrt{3}$ Again, $(2-\sqrt{3})b=1$ $⇒ b = \frac{1}{2-\sqrt{3}}$ $⇒ \frac{1}{b} = 2+\sqrt{3}$ $\frac{1}{a} + \frac{1}{b}=2-\sqrt{3}+2+\sqrt{3}$ $\frac{1}{a} + \frac{1}{b}=4$ Hence, the correct answer is $4$.
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Exercise is the (1)_______ of muscles and limbs which is done to (2)_____ a specific outcome. The chief aim of doing exercise is usually (3)_____ fitness. At the end of our (4)____ day, we prefer to (5)____ in leisure activities rather than a workout.
Question:
Select the most appropriate option to fill in the blank no. 2.
Option 1: yield
Option 2: attain
Option 3: establish
Option 4: procure
Correct Answer: attain
Solution : The correct choice is the second option.
In this context, attain means to achieve or reach a specific goal or outcome through exercise. When someone exercises, they engage in physical activity with the intention of obtaining or achieving certain results, such as improving fitness,
Question : Identify the segment in the sentence which contains a grammatical error.
As such you need any money, just write to me.
Option 1: need any money
Option 2: to me
Option 3: just write
Option 4: As such you
Correct Answer: As such you
Solution : The correct choice is the fourth option.
The grammatical error lies in the incorrect use of the phrase as such. The phrase as such is typically used to refer to the essence or nature of something, and it doesn't fit well in
Question : Part 3 of the Indian Constitution enlists how many groups of Fundamental Rights as of 2023.
Option 1: 4
Option 2: 6
Option 3: 7
Option 4: 5
Correct Answer: 6
Solution : The correct option is 6.
Part III of the Indian Constitution enlists six groups of fundamental rights. These include:
Question : If $\operatorname{cosec}\theta+\sin\theta=\frac{5}{2}$, then the value of $(\operatorname{cosec}\theta-\sin\theta)$ is:
Option 1: $-\frac{3}{2}$
Option 2: $\frac{3}{2}$
Option 3: $-\frac{\sqrt{3}}{2}$
Option 4: $\frac{\sqrt{3}}{2}$
Correct Answer: $\frac{3}{2}$
Solution : Given: $\operatorname{cosec}\theta+\sin\theta=\frac{5}{2}$ ⇒ $\frac{1}{\sin\theta}+\sin\theta=\frac{5}{2}$ ⇒ $\frac{1+\sin^{2}\theta}{\sin\theta}=\frac{5}{2}$ ⇒ $2\sin^{2}\theta-5\sin\theta+2=0$ ⇒ $2\sin^{2}\theta-4\sin\theta-1\sin\theta+2=0$ ⇒ $2\sin\theta (\sin\theta-2)-1(\sin\theta-2)=0$ ⇒ $(\sin\theta-2)(2\sin\theta-1)=0$ ⇒ $\sin\theta= 2,\frac{1}{2}$ $\sin\theta$'s value can't be 2. So, $\sin\theta=\frac{1}{2}=\sin30^{\circ}$ ⇒ $\theta=30^{\circ}$ $\operatorname{cosec}\theta-\sin\theta$ $=\operatorname{cosec}30^{\circ}-\sin30^{\circ}$ $= 2-\frac{1}{2}$ $=\frac{3}{2}$ Hence, the correct answer is $\frac{3}{2}$.
Question : The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. P. Despite that my guide Raj Lama sent me hiking up yet another trail to try to get a better view. Q. I was not impressed, and I let him know. R. I was on the Chele La mountain pass in west Bhutan. S. The weather was ominous, and it was raining too.
Option 1: QPRS
Option 2: SRPQ
Option 3: SQPR
Option 4: RSPQ
Correct Answer: RSPQ
Explanation: In this paragraph, the narrator sets the scene on the Chele La mountain pass in west Bhutan, noting the ominous weather with rain. Despite the adverse conditions, the guide, Raj Lama, decides to take the narrator
Question : Select the option that expresses the given sentence in passive voice.
Mary was cooking the meal.
Option 1: The meal were being cooked by Mary.
Option 2: The meal was already being cooked by Mary.
Option 3: Mary was about to cook the meal.
Option 4: The meal was being cooked by Mary.
Correct Answer: The meal was being cooked by Mary.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in
Question : Select the most appropriate ANTONYM of the underlined word.
My niece is an amateur artist. I hope she becomes famous one day.
Option 1: Boring
Option 2: Freelancing
Option 3: Expert
Option 4: Decent
Correct Answer: Expert
Solution : The most appropriate choice is the third option.
Expert means someone who is very knowledgeable or skilled in a particular area and is an antonym for the word amateur, which means someone who is inept.
The meanings of the other options are as follows:
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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