Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 40 – 220 ÷ 2 × 2 + 20 = 200
Option 1: 20 and 40; + and –
Option 2: 2 and 20; ÷ and +
Option 3: 220 and 40; + and ×
Option 4: 220 and 20; ÷ and ×
Correct Answer: 20 and 40; + and –
Solution : Given: 40 – 220 ÷ 2 × 2 + 20 = 200
Replace the given signs and numbers in the options one by one with the original signs and numbers in the given equation. First option: 20 and 40, +
Question : Simplify the given expression. $18 \div 3$ of $2 \times 5+72 \div 18$ of $2 \times 3-4 \div 8 \times 2$
Option 1: $20$
Option 2: $\frac{20}{3}$
Option 3: $\frac{25}{3}$
Option 4: $25$
Correct Answer: $20$
Solution : Given: $18 \div 3$ of $2 \times 5+72 \div 18$ of $2 \times 3-4 \div 8 \times 2$ $=18 \div 6 \times 5+72 \div 36 \times 3-4 \div 8 \times 2$ $=3 \times 5+2 \times 3-1$ $=15+6-1$ $=20$ Hence, the correct answer is $20$.
Question : In which among the following markets does a firm not exercise control over price?
Option 1: Mixed competition
Option 2: Monopoly
Option 3: Oligopoly
Option 4: Perfect competition
Correct Answer: Perfect competition
Solution : The correct answer is Perfect competition.
A company does not have pricing control over its goods in a perfectly competitive market. Perfect competition is a market system that is distinguished by many essential characteristics. There are countless tiny enterprises in a completely competitive
Question : Rearrange the parts of the sentence in correct order. The ministry officials P. recommend the shortlisted names to Q. the awards selection committee R. sieve through the applicants' credentials and S. have been working overtime to
Option 1: SPRQ
Option 2: QRPS
Option 3: SPQR
Option 4: PQRS
Correct Answer: SPRQ
Solution : The correct option is the first option.
The correct order for the sentence is SPRQ. The logical flow starts with the ministry officials (S) working overtime, followed by their action of sieving through the applicants' credentials (P) to shortlist names. Subsequently, they recommend these
Question : Four circles of equal radii are described around the four corners of a square so that each touches two of the other circles. If each side of the squares is 140 cm, then the area of the space enclosed between the circumference of the circle is: (Take $\pi=\frac{22}{7}$)
Option 1: 4200 cm2
Option 2: 2100 cm2
Option 3: 7000 cm2
Option 4: 2800 cm2
Correct Answer: 4200 cm2
Solution : Given: Four circles of equal radii are described around the four corners of a square so that each touches two of the other circles. Each side of the squares is 140 cm. Each side of the square ($a$) = 140 cm The radius
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).
The train is running late time.
(1) after
(2) behind
(3) off
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct answer is the second option: behind
It is the correct choice because it conveys the idea that the train is running late as per the scheduled or expected time. "Behind time" is a common expression used to indicate that something is delayed.
Question : Which of the following options is NOT a correct trigonometric identity?
Option 1: $1+\cot ^2 \theta =\operatorname{cosec}^2 \theta$
Option 2: $1+\tan ^2 \theta =\sec ^2 \theta$
Option 3: $1-\sin ^2 \theta =\cos ^2 \theta$
Option 4: $\cos ^2 \theta-\sin ^2 \theta=1$
Correct Answer: $\cos ^2 \theta-\sin ^2 \theta=1$
Solution : Let's check the options: Option 1: $1 + \cot^{2}\theta = \operatorname{cosec}^{2}\theta$. It is a trigonometric identity. Option 2: $1+\tan^{2}\theta = \sec^{2}\theta$. It is a trigonometric identity. Option 3: $1-\sin^{2}\theta = \cos^{2}\theta$. It is a trigonometric identity. Option 4: $\cos^{2}\theta - \sin^{2}\theta
Question : The midpoints of sides AB and AC of the triangle ABC are, respectively, X and Y. If (BC + XY) = 12 units, then the value of (BC – XY) is:
Option 1: 2 units
Option 2: 6 units
Option 3: 8 units
Option 4: 4 units
Correct Answer: 4 units
Solution : Given: (BC + XY) = 12 units -- (1) Since A line joining the midpoints of two sides of a triangle is half of the third side and also parallel to it. So, XY = $\frac{1}{2}$×BC ⇒ BC = 2XY Putting the value of
Question : When ice cubes are made, the entropy of water ?
Option 1: does not change
Option 2: decreases
Option 3: increases
Option 4: may either increase or decrease depending on the process used
Correct Answer: decreases
Solution : The correct option is Decreases.
The entropy of water decreases as ice cubes are formed. Entropy tends to rise when substances move from solid to liquid to gas. When water is frozen into ice, the water molecules become more organised and grouped in a crystalline
Question : The Indian Constitution was enacted on which of the following dates?
Option 1: 26th November 1949
Option 2: 26th January 1949
Option 3: 26th November 1950
Option 4: 26th January 1950
Correct Answer: 26th November 1949
Solution : The correct answer is 26th November 1949.
The Constituent Assembly of India, which was tasked with drafting the Constitution, completed its work on November 26 1949. This day marked the acceptance of the Constitution, with its final version being signed by Dr. Rajendra
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