Staff Selection Commission Combined Graduate Level Exam
Question : Who holds the authority of transferring judges from one High Court to another High Court?
Option 1: The senior most judge of Supreme Court
Option 2: The chief justice of India
Option 3: The President of India
Option 4: The law minister of India
Correct Answer: The President of India
Solution : The correct answer is the President of India.
The responsibility for relocating judges from one high court to another within India is vested in the President of India. This authority is executed by the stipulations outlined in Article 222 of the Indian
Question : Select the INCORRECTLY spelt word in the given sentence.
The village beggars, no longer ill at ease in the gathering of gliterring dignitaries, sat in their assigned rows and joked with vegetarian Brahmin apprentices.
Option 1: assigned
Option 2: apprentices
Option 3: beggars
Option 4: gliterring
Correct Answer: gliterring
Solution : The incorrectly spelt word is the fourth option.
It is correctly spelt as glittering, which means someone who is impressively successful in his field. In the context of the sentence, glittering is used with dignitaries, which highlights the impressive and elaborate careers those dignitaries have.
Question : In a trapezium ABCD, AB and DC are parallel sides and $\angle ADC=90^\circ$. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm, then the area of the trapezium ABCD is:
Option 1: 245 cm2
Option 2: 240 cm2
Option 3: 247.5 cm2
Option 4: 250 cm2
Correct Answer: 247.5 cm2
Solution : In trapezium ABCD, $\angle ADC = 90^\circ$, AB = 15 cm, DC = 40 cm and AC = 41 cm. In $\Delta ADC$, AC2 = AD2 + DC2 ⇒ 412 = AD2 + 402 ⇒ 1681= AD
Question : Select the option that expresses the given sentence in passive voice.
The sewage water smells foul.
Option 1: Foul is smelt by the sewage water.
Option 2: The sewage water is foul when it is smelt.
Option 3: The sewage water has a foul smell.
Option 4: Passive construction is not possible.
Correct Answer: Passive construction is not possible.
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 performs the action. Hence, the object in the active sentence becomes the subject in the passive
Question : Directions: In the following question, identify the correct response from the given premises stated according to the following symbols. If × denotes added to, + denotes subtracted from, – denotes multiplied by, then, 14 × 12 – 16 + 18 = ?
Option 1: 430
Option 2: 180
Option 3: 168
Option 4: 188
Correct Answer: 188
Solution : Given: 14 × 12 – 16 + 18 = ?
On replacing the symbols as per the given information, the equation becomes – = 14 + 12 × 16 – 18 = 14 + 192 – 18 = 206 – 18 = 188
So, 188
Question : Select the most appropriate synonym of the underlined word.
Bullying is a rather unacknowledged social evil.
Option 1: Unidentified
Option 2: Notable
Option 3: Infamous
Option 4: Named
Correct Answer: Unidentified
Solution : The correct choice is the first option.
Explanation:
We have to look for a synonym that conveys a lack of acknowledgement or recognition. Unacknowledged means not recognised or not acknowledged. Among the options, unidentified is the closest synonym that implies a lack of acknowledgement
Question : "Modernisation" as a goal of planning in the context of the Indian economy was not aimed at:
Option 1: Adopting a Western lifestyle
Option 2: Change in social outlook
Option 3: Increase in the production of goods and services
Option 4: Use of new technology
Correct Answer: Adopting a Western lifestyle
Solution : The correct answer is Adopting a Western lifestyle.
"Modernisation" as a goal of planning in the context of the Indian economy was not aimed at adopting a Western lifestyle. Industrialisation, technological advancement, economic expansion, and social development were among the goals
Question : If $7\sin^{2}\theta+3\cos^{2}\theta=4$, and $0^{\circ}< \theta< 90^{\circ}$, then the value of $\tan\theta$ is:
Option 1: $\frac{1}{\sqrt{2}}$
Option 2: $\frac{1}{\sqrt{3}}$
Option 3: $\sqrt{\frac{3}{2}}$
Option 4: $1$
Correct Answer: $\frac{1}{\sqrt{3}}$
Solution : We know that $\sin^{2}\theta + \cos^{2}\theta = 1$ $7\sin^{2}\theta+3\cos^{2}\theta=4$ ⇒ $7\sin^{2}\theta+3(1-\sin^{2}\theta)=4$ ⇒ $4\sin^{2}\theta=1$ ⇒ $\sin\theta = \sqrt{\frac{1}{4}}$ or $\sin\theta = -\sqrt{\frac{1}{4}}$ Since $0^{\circ}< \theta< 90^{\circ}$, $\sin\theta$ is positive. ⇒ $\sin\theta = \frac{1}{2}$ ⇒ $\theta = 30^{\circ}$ ⇒ $\tan\theta = \tan30^{\circ} = \frac{1}{\sqrt{3}}$ Hence, the correct
Question : At 129 m away from the foot of a cliff on level ground, the angle of elevation of the top of the cliff is 30°. The height of this cliff is:
Option 1: $50\sqrt{3}$ m
Option 2: $45\sqrt{3}$ m
Option 3: $43\sqrt{3}$ m
Option 4: $47\sqrt{3}$ m
Correct Answer: $43\sqrt{3}$ m
Solution : Let h be the height of the cliff. From the figure we get, $\tan 30°=\frac{h}{129}$ ⇒ $\frac{1}{\sqrt{3}}=\frac{h}{129}$ ⇒ $h=\frac{129}{\sqrt{3}}$ $\therefore h=43\sqrt{3}$ m Hence, the correct answer is $43\sqrt{3}$ m.
Question : Solve the following to find its value in terms of trigonometric ratios. $(\sin A + \cos A)(1 - \sin A \cos A)$
Option 1: $\sin^3A+\cos^3A$
Option 2: $\sin^2A-\cos^2A$
Option 3: ${[\cos A-\sin A]\left[\sin ^2 A+\cos ^2 A\right]}$
Option 4: $\sin^3A-\cos^3A$
Correct Answer: $\sin^3A+\cos^3A$
Solution : Given expression, $(\sin A + \cos A)(1 – \sin A \cos A)$ $\sin A+\cos A−\sin^2A\cos A-\sin A\cos^2A$ We know, $\sin^2A=1−\cos^2A$ and $\cos^2A=1−\sin^2A$ Now, $\sin A+\cos A−\sin^2A\cos A−\sin A\cos^2A$ = $\sin A+\cos A−(1−\cos^2A)\cos A−\sin A(1−\sin^2A)$ = $\sin A+\cos A−\cos A+\cos^3A−\sin A+\sin^3A$ = $\sin^3A+\cos^3A$ Hence, the correct
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