Staff Selection Commission Combined Graduate Level Exam
Question : $2\sqrt[3]{40}-4\sqrt[3]{320}+3\sqrt[3]{625}-3\sqrt[3]{5}$ is equal to:
Option 1: $-2\sqrt[3]{340}$
Option 2: $0$
Option 3: $\sqrt[3]{340}$
Option 4: $\sqrt[3]{660}$
Correct Answer: $0$
Solution : $2\sqrt[3]{40}-4\sqrt[3]{320}+3\sqrt[3]{625}-3\sqrt[3]{5}$ = $2\sqrt[3]{2^3×5}-4\sqrt[3]{4^3×5}+3\sqrt[3]{5^3×5}-3\sqrt[3]{5}$ = $4\sqrt[3]{5}-16\sqrt[3]{5}+15\sqrt[3]{5}-3\sqrt[3]{5}$ = $19\sqrt[3]{5}-19\sqrt[3]{5}$ = $0$ Hence, the correct answer is $0$.
Question : Select the most appropriate ANTONYM of the given word. Conceal
Option 1: Watch
Option 2: See
Option 3: Reveal
Option 4: Hide
Correct Answer: Reveal
Solution : The correct answer is the third option.
Explanation:
Watch means to observe or look attentively, often for some time.
See means to perceive with the eyes; to be aware of through visual sensation.
Hide means to conceal or put out of sight; to keep something
Question : A thief steals a van at 3:00 a.m. and drives it at a speed of 57 km/h. The thief is discovered at 4:00 a.m. and the owner starts chasing in another van, at a speed of 76 km/h. At what time will he catch the thief?
Option 1: 7:30 a.m.
Option 2: 7:00 p.m.
Option 3: 7:00 a.m.
Option 4: 6:00 a.m.
Correct Answer: 7:00 a.m.
Solution : Speed of thief = 57 km/h Speed of the owner = 76 km/h Relative speed with both going in the same direction = 76 – 57 = 19 km/h Distance travelled by the thief in 1 hour = 57 km Time the owner needs
Question : In which year was Gay-Lussac’s law of gaseous volumes given by Gay-Lussac?
Option 1: 1812
Option 2: 1800
Option 3: 1808
Option 4: 1802
Correct Answer: 1800
Solution : The correct option is 1808.
When we talk about Joseph Louis Gay-Lussac's law of combining volumes of gases, which was discovered in 1808 and published in 1809, we normally mean Gay-Lussac's law.
Question : Which one of the following is not a non-conventional source of energy?
Option 1: Solar energy
Option 2: Natural gas
Option 3: Wind energy
Option 4: Tidal power
Correct Answer: Natural gas
Solution : The correct answer is Natural Gas.
Conventional sources of energy are non-renewable energy resources that have been used conventionally for a long time. They are generally limited by what is present in nature, and they will quickly run out if improperly employed. Examples
Question : The circumference of the two circles is 198 cm and 352 cm, respectively. What is the difference between their radii?
Option 1: 45 cm
Option 2: 16.5 cm
Option 3: 49.5 cm
Option 4: 24.5 cm
Correct Answer: 24.5 cm
Solution : Given, The circumference of the two circles is 198 cm and 352 cm, respectively. Let the radii be $R$ and $r$, respectively. So, $2\pi R-2\pi r=352-198$ ⇒ $R-r= \frac{154\times7}{2\times 22}$ ⇒ $R-r=\frac{49}{4}$ $\therefore R-r=24.5$ cm Hence, the correct answer is 24.5 cm.
Question : Select the most appropriate ANTONYM of the underlined word.
One must aim to develop intrinsic motivation within learners for better retention of knowledge.
Option 1: Elemental
Option 2: Introjected
Option 3: Extrinsic
Option 4: Inherent
Correct Answer: Extrinsic
Solution : The correct solution is the third option.
Explanation: Intrinsic motivation refers to motivation that comes from within, driven by personal interest, enjoyment, or the inherent satisfaction of the task itself. The antonym of intrinsic, in the context of motivation, is extrinsic which involves external factors
Question : "Tripitakas" are sacred books of:
Option 1: Hindus
Option 2: Jains
Option 3: Parsis
Option 4: Buddhists
Correct Answer: Buddhists
Solution : The correct answer is Buddhists.
Tripitakas are a Buddhist literature. There are three sacred books in Buddhism: Sutta Pitaka, Vinaya Pitaka and Abhidhamma Pitaka. Vinaya Pitaka deals with the conduct of the Monk order. The Sutta Pitaka was a collection of Lord Buddha's Sermons
Question : Select the option that expresses the given sentence in passive voice. The company sold the newly introduced car to the highest bidder.
Option 1: The newly introduced car was sold to the highest bidder by the company.
Option 2: The company sold the newly introduced car to the highest bidder.
Option 3: The newly introduced car has sold to the highest bidder by the company.
Option 4: The newly introduced car sold to the highest bidder by the company.
Correct Answer: The newly introduced car was sold to the highest bidder by the company.
Solution : The first option is the correct choice.
Passive voice is the voice in which the object experiences an action rather than the person who acts. Hence, the object in the active sentence becomes
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure – 1. The pattern is a zigzag line that forms small triangles on the upper and lower sides of the straight line. 2. In each figure, the number of triangles increases, and the side of the 1st triangle changes from upside
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