Staff Selection Commission Combined Graduate Level Exam
Question : Which of the following statements is correct?
I. The biggest state of India in terms of area is Uttar Pradesh.
II. Rajasthan is the state of India which has the highest population among all other states of India.
Option 1: Only I
Option 2: Neither I nor II
Option 3: Only II
Option 4: Both I and II
Correct Answer: Neither I nor II
Solution : The correct answer is neither I nor II.
As of April 2021, there were 28 states and eight union territories (UTs) in India. Rajasthan is the largest state in the area (342,239 km2), followed by Maharashtra and Madhya Pradesh.
Question : If $ax–4y = – 6$ has a slope of $-\frac{3}{2}$, what is the value of $a$?
Option 1: 6
Option 2: 3
Option 3: – 6
Option 4: – 3
Correct Answer: – 6
Solution : Given: The straight line is $ax–4y = –6$ has a slope of $\frac{–3}{2}$. The slope of the straight line $(ax + by + c = 0)$ using the slope formula, $\text{slope}=\frac{–a}{b}$ $\frac{–a}{–4}=\frac{–3}{2}$ ⇒ $a = – 6$ Hence, the correct answer is – 6.
Question : How many players are there in a water polo team?
Option 2: 5
Option 3: 7
Option 4: 8
Correct Answer: 7
Solution : The correct answer is 7.
Water polo is a water-based team sport played by two teams of seven players each. The Indian men's national water polo team represents India in international men's water polo. The Swimming Federation of India (SFI) governs water polo in India.
Question : Select the most appropriate option to fill in the blank.
The termites were just the tip of the_____, but the house was near collapse in reality.
Option 1: mountain
Option 2: iceberg
Option 3: shoe
Option 4: heel
Correct Answer: iceberg
Solution : The most appropriate choice is the second option.
Explanation: The expression the tip of the iceberg refers to a situation where a small, visible part is just an indication of a larger, hidden problem or issue.
The meanings of the other options are as
Question : Directions: Select the option figure in which the given figure (X) is embedded as its part (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the third option figure.
Hence, the third option is
Question : Which one of the following was not a French Settlement in India ?
Option 1: Puducherry
Option 2: Mahe
Option 3: Goa
Option 4: Chandarnagar
Correct Answer: Goa
Solution : Correct Answer is Goa
Goa is an Indian state that was formerly a Portuguese colony. Goa was a Portuguese overseas territory for approximately 450 years. It was part of Portuguese India until 1961 when it was ceded to India. Puducherry is a Union Territory comprising
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Leaves .......... in autumn.
Option 1: fall down
Option 2: fall of
Option 3: fall on
Option 4: fall off
Correct Answer: fall off
Solution : The correct option to fill in the blank is the fourth option.
Fall off: It specifically describes the action of leaves separating or detaching from the trees, which is what happens in autumn as part of the natural cycle.
Fall down: This option doesn't
Question : If $8 a^3+27 b^3=16$ and $2 a+3 b=4$, then find the value of $16 a^4+81 b^4$.
Option 1: 26
Option 2: 30
Option 3: 28
Option 4: 32
Correct Answer: 32
Solution : Given, $8 a^3+27 b^3=16$ and $2 a+3 b=4$ Consider $8 a^3+27 b^3=16$ ⇒ $(2a)^3+(3b)^3=16$ ⇒ $(2a+3b)(4a^2-6ab+9b^2)=16$ ⇒ $(4)(4a^2-6ab+9b^2)=16$ ⇒ $4a^2-6ab+9b^2=4$ ......(1) Now, consider $2a+3b=4$ Squaring both sides, we get, ⇒ $(2a+3b)^2=4^2$ ⇒ $4a^2+12ab+9b^2=16$ ......(2) Solving (1) and (2), we get, $18 ab=12$ ⇒ $ab=\frac{2}{3}$ And,
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at AB.
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : Select the correct passive form of the given sentence.
A ten-year-old girl was taking art classes for children.
Option 1: Art classes for children had been taken by a ten-year-old girl.
Option 2: Art classes for children were taken by a ten-year-old girl.
Option 3: Children for art classes were being taken by a ten-year-old girl.
Option 4: Art classes for children were being taken by a ten-year-old girl.
Correct Answer: Art classes for children were being taken by a ten-year-old girl.
Solution : The correct choice is the fourth option.
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 voice becomes
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