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Staff Selection Commission Combined Graduate Level Exam

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Question : Select the option that expresses the given sentence in passive voice.
The mistress appointed him monitor.

Option 1: Monitor had been appointed as mistress.

Option 2: He had been appointed as monitor.

Option 3: He was appointed monitor by the mistress.

Option 4: He appointed mistress as monitor.

Team Careers360 25th Jan, 2024

Correct Answer: He was appointed monitor by the mistress.


Solution : The third option is correct.

In the original sentence, the structure is in active voice. The passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object

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Question : If $x^2-5 x+1=0$, then the value of $\frac{x^6+x^4+x^2+1}{5 x^3}=?$

Option 1: 30

Option 2: 25

Option 3: 23

Option 4: 28

Team Careers360 24th Jan, 2024

Correct Answer: 23


Solution : Given, $x^2-5 x+1=0$
$⇒x^2+1=5 x$----(i)
Multiplying whole equation by $x^4$, we get:
$⇒x^6+x^4=5 x^5$
Also dividing equation (i) by $x$, we get,
$x+\frac{1}{x}=5$
Now, $\frac{x^6+x^4+x^2+1}{5 x^3}$
= $\frac{5 x^5+5 x}{5 x^3}$
= $x^2+\frac{1}{x^2}$
= $(x+\frac{1}{x})^2-2$
= $5^2-2$
= $23$
Hence, the correct answer is 23.

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Question : Ram sold a plot for Rs. 4,00,000 at a 20% loss. For what price should he sell the plot to gain a 5% profit?

Option 1: Rs. 5,25,000

Option 2: Rs. 5,20,000

Option 3: Rs. 5,00,000

Option 4: Rs. 5,05,000

Team Careers360 24th Jan, 2024

Correct Answer: Rs. 5,25,000


Solution : Here CP denotes the cost price, and SP denotes the selling price.
Let CP be Rs. $100x$.
Now, SP after 20% loss $= 100x × (100 – 20)$% $=80x$
And, SP after 5% profit $= 100x × (100 + 5)$% $=105x$
According to the

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Question : The Wheeler Island has been renamed as

Option 1: Vikram Sarabhai Island

Option 2: Satish Dhawan Island

Option 3: Abdul Kalam Island

Option 4: C.V. Raman Island

Team Careers360 25th Jan, 2024

Correct Answer: Abdul Kalam Island


Solution : The correct answer is Abdul Kalam Island.

Wheeler Island is located 150 km off the coast of Odisha in Bay of Bengal. Recently it has been renamed as Abdul Kalam Island in honour of the former President of India. It is also famous

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Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Effluent
2. Edifice
3. Effleurage
4. Edacious
5. Effeminate
6. Eccentric
7. Effulgent

Option 1: 6, 4, 2, 5, 3, 1, 7

Option 2: 6, 4, 2, 3, 5, 1, 7

Option 3: 6, 4, 2, 5, 1, 3, 7

Option 4: 6, 4, 2, 5, 7, 3, 1

Team Careers360 21st Jan, 2024

Correct Answer: 6, 4, 2, 5, 3, 1, 7


Solution : Given:
1. Effluent 2. Edifice 3. Effleurage 4. Edacious 5. Effeminate 6. Eccentric 7. Effulgent

Step 1: Compare the first letter of each word. Since all the words start with the same letter E. So, move on to

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Question : Using $\operatorname{cosec}(\alpha+\beta)=\frac{\sec \alpha \times \sec \beta \times \operatorname{cosec} \alpha \times \operatorname{cosec} \beta}{\sec \alpha \times \operatorname{cosec} \beta+\operatorname{cosec} \alpha \times \sec \beta}$, find the value of $\operatorname{cosec} 75°$.

Option 1: $\frac{\sqrt{6}+\sqrt{2}}{4}$

Option 2: $\frac{\sqrt{6}-\sqrt{2}}{4}$

Option 3: $\sqrt{6}-\sqrt{2}$

Option 4: $\sqrt{6}+\sqrt{2}$

Team Careers360 19th Jan, 2024

Correct Answer: $\sqrt{6}-\sqrt{2}$


Solution : Given: $\operatorname{cosec}(\alpha+\beta)=\frac{\sec \alpha \times \sec \beta \times \operatorname{cosec} \alpha \times \operatorname{cosec} \beta}{\sec \alpha \times \operatorname{cosec} \beta+\operatorname{cosec} \alpha \times \sec \beta}$
To find the value of $\operatorname{cosec} 75°$, take $\alpha=45°,\beta=30°$
Now putting their values in the equation we get,
$\operatorname{cosec}(45°+30°) = \frac{\sec 45° \times \sec 30°

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