Staff Selection Commission Combined Graduate Level Exam
Question : What is the possible value of (a + b + c) – 3, if a2 + b2 + c2 = 9 and ab + bc + ca = 8?
Option 1: 5
Option 2: 3
Option 3: 9
Option 4: 2
Correct Answer: 2
Solution : Given: $a^2 + b^2 + c^2 = 9$ and $ab + bc + ca = 8$ We know, $(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)$ ⇒ $(a+b+c)^2=9+2\times 8$ ⇒ $(a+b+c)^2=9+16$ ⇒ $a+b+c=\sqrt{25}=5$ $\therefore$ $(a+b+c)-3 = 5-3 = 2$ Hence, the correct answer is 2.
Question : Who was the first to use the term 'State'?
Option 1: Hobbes
Option 2: Plato
Option 3: Aristotle
Option 4: Machiavelli
Correct Answer: Machiavelli
Solution : The correct option is Machiavelli.
Niccol Machiavelli (1469-1527), an Italian philosopher, is credited with coining the term "state" in its contemporary connotation. He describes the state in his book The Prince as "a political unit that is sovereign and has a monopoly on the legitimate
Question : If $x^4+\frac{1}{x^4}=194$ and $x^3+\frac{1}{x^3}=?$
Option 1: 52
Option 2: 58
Option 3: 76
Option 4: 67
Correct Answer: 52
Solution : $x^4+\frac{1}{x^4}=194$ Adding 2 on both sides, ⇒ $x^4+\frac{1}{x^4}+2=194+2$ ⇒ $(x^2+\frac{1}{x^2})^2=196$ Taking square root on both sides, ⇒ $x^2+\frac{1}{x^2}=14$ Adding 2 on both sides, ⇒ $x^2+\frac{1}{x^2}+2=14+2$ ⇒ $(x+\frac{1}{x})^2=16$ Taking square root on both sides, ⇒ $x+\frac{1}{x}=4$ ⇒ $(x+\frac{1}{x})^3=4^3$ ⇒ $x^3+\frac{1}{x^3}+3(x+\frac{1}{x})=64$ ⇒ $x^3+\frac{1}{x^3}+3×4=64$ ⇒ $x^3+\frac{1}{x^3}=64-12 = 52$
Question : Directions: A is the mother of B. C is the son of A. D is the brother of E, and E is the daughter of B. Who is the grandmother of E?
Option 1: A
Option 2: B
Option 3: C
Option 4: D
Correct Answer: A
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above family tree, A is the grandmother of E. Hence, the first option
Question : Direction: If ANCIENT is coded as 2516859 and NATURE is coded as 529048, then TRAIN will be coded as.
Option 1: 94285
Option 2: 92456
Option 3: 94265
Option 4: 94168
Correct Answer: 94265
Solution : Given:
ANCIENT is coded as 2516859 and NATURE is coded as 529048
The code of letters in the given word ANCIENT is A → 2; N → 5; C → 1; I → 6; E → 8; N→ 5; T → 9
The code of
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. A great fire (1)______ in London in 1666, which (2)____ the city and made around 1,00,000 people homeless. This fire is said to have begun in a pudding lane. It (3)____ through the crowded streets and wooden houses. However, after the fire, London was (4)___ with wider streets and improved water supplies. New buildings were (5)___ using bricks instead of wood. Question: Select the most appropriate option to fill in the blank no. 5.
Option 1: organised
Option 2: erected
Option 3: fabricated
Option 4: located
Correct Answer: erected
Solution : The correct choice is the second option.
Explanation: In the context of building structures, especially after a disaster like a fire, the term erected is the most fitting as it refers to the construction or building of new structures. In the aftermath of the
Question : According to Koeppen's Scheme, which type of climate is denoted by 'Cwg' in India?
Option 1: Monsoon with dry winter
Option 2: Semi-arid steppe climate
Option 3: Polar type
Option 4: Monsoon with dry summer
Correct Answer: Monsoon with dry winter
Solution : The correct option is Monsoon with a dry winter.
Based on Koeppen's scheme, India's climatic type (represented by 'Cwg') is monsoon with dry winters. The majority of the Malwa Plateau, eastern Rajasthan, Assam, and the northern Ganga Plains have this kind
Question : Directions: Select the option related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word) Commence : Begin :: Doctrine : ?
Option 1: Belief
Option 2: Conduct
Option 3: Duty
Option 4: Study
Correct Answer: Belief
Solution : Given: Commence : Begin :: Doctrine : ?
Like, Commence means Begin, implying that Begin is the synonym of Commence. Similarly, Doctrine means belief.
Hence, the first option is correct.
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. Those verses are collectively known as the Bhagavad Gita.
B. His hesitation before the battle against his family became the occasion for his friend and charioteer, Lord Krishna, to deliver a discourse on dharma.
C. Arjuna was one of the five Pandava brothers, who are the heroes of the Indian epic, the 'Mahabharata'.
D. He was the son of the god Indra and was famous for his archery.
Option 1: DCBA
Option 2: CDBA
Option 3: ABDC
Option 4: BADC
Correct Answer: CDBA
Solution : The second option is the correct answer i.e., CDBA.
The continuity of the story in between the story is the most important part. We start with the subject, Arjuna, and his lineage. We talk about his achievements and finally arrive at the premise of
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. The ship with its crew ___ gone to the bottom of the sea.
Option 1: has
Option 2: have
Option 3: are
Option 4: none
Correct Answer: has
Solution : The correct choice is the first option.
Explanation: The subject "the ship with its crew" is a singular subject, so the verb should be in the singular form, which is "has". The sentence describes a singular event, where the ship and its crew have gone
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