Staff Selection Commission Combined Graduate Level Exam
Question : What is the value of $\tan240^\circ$?
Option 1: $\sqrt{2}$
Option 2: $-\sqrt{3}$
Option 3: $\sqrt{3}$
Option 4: $3$
Correct Answer: $\sqrt{3}$
Solution : Given: $\tan 240^\circ$ = $\tan (180^\circ+60^\circ)$ = $\tan 60^\circ$ = $\sqrt{3}$ Hence, the correct answer is $\sqrt{3}$.
Question : What is the value of the given expression? $(a+b+c)^2-a^2-b^2-c^2$
Option 1: $2abc$
Option 2: $2(ab+bc+ca)$
Option 3: $2(a+b+c)$
Option 4: $2ab+bc-2ca$
Correct Answer: $2(ab+bc+ca)$
Solution : By using the identity: $(a+b+c)^{2} = a^{2}+b^{2}+c^{2}+2(ab+bc+ca)$ $\therefore$ $(a+b+c)^{2}- a^{2}- b^{2}- c^{2} = 2(ab+bc+ca)$. Hence, the correct answer is $2(ab+bc+ca)$.
Question : Directions: Which answer figure will complete the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 52 – 61
Option 2: 43 – 54
Option 3: 72 – 83
Option 4: 18 – 29
Correct Answer: 52 – 61
Solution : Let's check the options – First option: 52 – 61→61 – 52 = 9 ≠ 11 Second option: 43 – 54→54 – 43 = 11 Third option: 72 – 83→83 – 72 = 11 Fourth option: 18 – 29→29 – 18= 11
Hence,
Question : Select the option that expresses the given sentence in passive voice.
They are hitting the ball.
Option 1: The ball has been hit by them.
Option 2: The ball is being hitten by them.
Option 3: The ball is hit by them.
Option 4: The ball is being hit by them.
Correct Answer: The ball is being hit by them.
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 acts. Hence, the object in the active sentence becomes the subject in the passive voice.
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Tony is giving me a lift. (1)/ He's coming to (2)/ call for me at ten. (3)/ No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
Calls for someone is a phrase that means to meet someone at his/her home in order to take them somewhere. The sentence tells us that Tony will be giving a lift to the speaker and
Question : The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:
Option 1: 10 cm
Option 2: 13 cm
Option 3: 12 cm
Option 4: 24 cm
Correct Answer: 13 cm
Solution : AB = 24 cm And OC = 5 cm We have to find AO. C is the middle point of the chord. $\therefore$ AC = $\frac{24}{2} = 12\ \mathrm{cm}$ Using Pythagoras theorem, $\text{AO}^2 = \text{AC}^2 + \text{OC}^2$ ⇒ $\text{AO}^2 = 12^2 + 5^2$ ⇒
Question : Which of the following statements is correct?
I. The nutrition requirements of adolescents are higher than adults.
II. Adolescents are generally grouped in the age group of 10 to 19 years.
Option 1: Only II
Option 2: Both I and II
Option 3: Neither I nor II
Option 4: Only I
Correct Answer: Both I and II
Solution : The correct answer is Both I and II.
Both the statements given in the question are correct.
Rapid physical, social, mental, and emotional changes characterise adolescence. Adolescents require more nutrients than adults because this is when they gain at least 40%
Question : The Himalayas are also known by the name:
Option 1: ancient mountains
Option 2: fold mountains
Option 3: valley mountains
Option 4: Indus mountains
Correct Answer: fold mountains
Solution : The correct answer is fold mountains.
The Himalayas are known as "young fold mountains" because they developed only a few million years ago as a result of continental drift, where the Indo-Australian and Eurasian plates collided.
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. PLANT : VPCNR :: STOMP : ROQVU :: BOARD : ?
Option 1: DPCTF
Option 2: DQCTF
Option 3: FTDQC
Option 4: FTCQD
Correct Answer: FTCQD
Solution : Given: PLANT : VPCNR :: STOMP : ROQVU :: BOARD : ?
Reverse the letters of PLANT and STOMP and then add 2 to the place value of each letter to obtain its related letter cluster. Reverse the letters of PLANT→TNALP Now, add 2→T +
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