Staff Selection Commission Combined Graduate Level Exam
Question : If $5 \sin^2 A+3 \cos^2 A=4$, $0<A<90°$, then what is the value of $\tan A$?
Option 1: 0
Option 2: 3
Option 3: 1
Option 4: 2
Correct Answer: 1
Solution : Given: $5\sin^2 A+3\cos^2 A=4$ ⇒ $2\sin^2 A+ 3\sin^2A + 3\cos^2 A=4$ ⇒ $2 \sin^2 A+3=4$...........[Using $ \sin^2 A+ \cos^2 A=1$] ⇒ $\sin^2 A=\frac{1}{2}$ ⇒ $\sin A=\frac{1}{\sqrt{2}}$ ⇒ $A=45°$ So, $\tan A=1$ Hence, the correct answer is 1.
Question : Directions: Select the option that is 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.) Rice : Grain :: Lentils : ?
Option 1: Pulses
Option 2: Sprouts
Option 3: Cereal
Option 4: Starch
Correct Answer: Pulses
Solution : Given: Rice : Grains :: Lentils : ?
Like, Rice is a small seed that is cultivated from grain plants. Similarly, Lentil is an edible seed that is cultivated from a legume plant, i.e., a variation of pulses.
Hence, the first option is correct.
Question : Directions: In the following question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four as your answer.
We should go ______ doing more good than harm.
Option 1: on
Option 2: above
Option 3: about
Option 4: to
Correct Answer: about
Solution : The correct choice is the third option.
The preposition about is the correct choice, as it helps form the phrasal verb, which means to deal with something.
The meanings of the other options are as follows:
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. Suddenly, a motorbike came towards me from the opposite direction. B. The consequence of my daredevilry was a sprained ankle and a bruised arm. C. I was enjoying my hands-free ride at top speed. D. I tried to swerve out of the way but lost control and fell.
Option 1: CBDA
Option 2: BCDA
Option 3: BADC
Option 4: CADB
Correct Answer: CADB
Solution : The fourth option is the correct answer.
Question : Select the correct spelling for the INCORRECTLY spelt word in the given sentence.
Education plays a crucal role in breaking the cycle of poverty and child labour.
Option 1: proverty
Option 2: crucial
Option 3: braking
Option 4: edukation
Correct Answer: crucial
Solution : The correct choice is the fourth option.
"Crucial" means extremely important or essential, often to the success or effectiveness of something. It denotes a critical or decisive element that has a significant impact on the outcome or functioning of a situation, process, or event.
The
Question : The first Commonwealth Games in 1930 was held in which country ?
Option 1: Australia
Option 2: England
Option 3: New Zealand
Option 4: Canada
Correct Answer: Canada
Solution : The correct option is - Canada.
The first British Empire Games, which are now known as the Commonwealth Games, were held in Hamilton, Ontario, from August 16 to 23, 1930.
The sports were wrestling, lawn bowling, rowing, swimming, and athletics. Women only took part in
Question : R. G. Bhandarkar was a popular leader of which reforming society?
Option 1: Prarthana Samaj
Option 2: Arya Samaj
Option 3: Theosophical Society
Option 4: Brahmo Samaj
Correct Answer: Prarthana Samaj
Solution : The correct option is Prarthana Samaj.
R. G. Bhandarkar, also known as Ramakrishna Gopal Bhandarkar, was a prominent figure in Indian education and social reform during the late 19th and early 20th centuries. He was associated with the Prarthana Samaj, a prominent reformist
Question : Describe how you will tell your parents that Suraj is loved by Siva in an active voice.
Option 1: Siva is been loving Suraj.
Option 2: Suraj loved Siva.
Option 3: Siva loves Suraj.
Option 4: Siva were loving Suraj.
Correct Answer: Siva loves Suraj.
Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.
The structure of the active voice
Question : Five members of a team are weighted consecutively, and their average weight is calculated after each member is weighted. If the average weight increases by one kilogram each time, how much heavier is the last player than the first one?
Option 1: 4 kg
Option 2: 20 kg
Option 3: 8 kg
Option 4: 5 kg
Correct Answer: 8 kg
Solution : Let the average weight of 1st member be $x$ kg. Given: The average weight increases by one kilogram each time. Average weight of first two members $= (x+1)$ kg Total weight of 1st two members $= 2(x+1) = 2x+2$ Weight of 2nd member $=
Question : The boiling point of water depends upon the:
Option 1: atmospheric pressure
Option 2: volume
Option 3: density
Option 4: mass
Correct Answer: atmospheric pressure
Solution : The correct option is atmospheric pressure.
The atmospheric pressure influences the boiling point of water. In simple terms, the boiling point is the temperature at which a liquid's vapour pressure equals atmospheric pressure. The boiling point of water fluctuates as the atmospheric pressure varies
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