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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.
Who teaches her geography?

Option 1: By who geography is taught to her?

Option 2: By whom she is taught geography?

Option 3: By whom is she taught geography?

Option 4: By whom was she taught geography?

Team Careers360 25th Jan, 2024

Correct Answer: By whom is she taught geography?


Solution : The correct answer is the third option.

In the original sentence, "Who teaches her geography?" is in the active voice, in which the subject who is performing the action as the subject is the doer in the active voice whereas

17 Views

Question : What is the value of $3 \sin ^2 30^{\circ}+\frac{3}{5} \cos ^2 60^{\circ}–2 \sec ^2 45^{\circ} $?

Option 1: $-\frac{5}{2}$

Option 2: $-\frac{5}{8}$

Option 3: $-\frac{31}{10}$

Option 4: $-\frac{25}{17}$

Team Careers360 25th Jan, 2024

Correct Answer: $-\frac{31}{10}$


Solution : Given: The trigonometric expression is $3 \sin ^2 30^{\circ}+\frac{3}{5} \cos ^2 60^{\circ}–2 \sec ^2 45^{\circ} $.
We know the values of trigonometric ratios, $\sin 30^{\circ} =\frac{1}{2}$, $\cos 60^{\circ}=\frac{1}{2}$ and $\sec 45^{\circ}=\sqrt2$.
⇒ $3 \sin ^2 30^{\circ}+\frac{3}{5} \cos ^2 60^{\circ}–2 \sec ^2 45^{\circ}$
$= 3\times(\frac{1}{2})^2+\frac{3}{5}\times(\frac{1}{2})^2–2 \times

14 Views

Question : The word "Satyameva Jayate" has been derived from which Upanishad?

Option 1: Akshi Upanishad

Option 2: Mundaka Upanishad

Option 3: Garuda Upanishad

Option 4: Mahavakya Upanishad

Team Careers360 25th Jan, 2024

Correct Answer: Mundaka Upanishad


Solution : The correct answer is Mundaka Upanishad.

The phrase "Satyameva Jayate" in the Devanagari script is taken from the Mundaka Upanishad. It means truth alone triumphs. "Satyameva Jayate" is written below the Lion Capital of Ashoka, adopted as India's national emblem.

17 Views

Question : Which of the following is not mentioned in the Indian Constitution as a Fundamental Duty?

Option 1: To respect elders

Option 2: To promote harmony

Option 3: To safeguard public property

Option 4: To defend the country

Team Careers360 25th Jan, 2024

Correct Answer: To respect elders


Solution : The Correct Option is To respect elders.

The Indian Constitution lays out a set of moral and civic duties known as fundamental duties. The 42nd Amendment Act of 1976 adds these duties to the Indian Constitution. India's residents are supposed to feel more

13 Views

Question : The total surface area of a solid hemisphere is $942 \mathrm{~cm}^2$. Its volume (in $\mathrm{cm}^3$ ) is closest to:
(Take $\pi=3.14$ )

Option 1: 2089

Option 2: 2093

Option 3: 2037

Option 4: 2097

Team Careers360 25th Jan, 2024

Correct Answer: 2093


Solution : Given: The total surface area of a solid hemisphere = $942\ cm^2$
$3 \pi r^2=942$
⇒ $3\times 3.14\times r^2=942$
⇒ $3.14\times r^2=314$
⇒ $ r^2=100$
⇒ $ r=10$
Volume of hemisphere = $\frac{2}{3}\pi r^3$
= $\frac{2}{3}\times 3.14\times10\times10\times10$
= $\frac{6280}{3}$
= $2093.33 \approx 2093$ cm3

47 Views

Question : A person marks an article 36% above the cost price and offers a 30% discount on the marked price. What is the loss or gain percentage?

Option 1: Loss 6.5%

Option 2: Loss 4.8%

Option 3: Gain 8.5%

Option 4: Gain 7.2%

Team Careers360 25th Jan, 2024

Correct Answer: Loss 4.8%


Solution : Let the cost price be 100.
Marked price above 36% = 100 + 36 = 136
Discount = 30%
Selling price = $\frac{100-\text{discount %}}{100}\times$ marked price
= $\frac{100-30}{100}\times136$
= $\frac{70}{100}\times136$
= $95.2$
Loss = Cost price – selling price = 100 – 95.2 =

15 Views

Question : Directions: Which of the following interchange of numbers and signs would make the given equation correct?
24 × 9 + 6 ÷ 24 – 18 = 22

Option 1: 18 and 22, + and –

Option 2: 24 and 6, × and +

Option 3: 6 and 9, ÷ and +

Option 4: 6 and 18, ÷ and ×

Team Careers360 25th Jan, 2024

Correct Answer: 6 and 9, ÷ and +


Solution : Given:
24 × 9 + 6 ÷ 24 – 18 = 22

Let's check the given options –
First option: 18 and 22, + and –
⇒ 24 × 9 – 6 ÷ 24 + 22 = 18
Solving the

14 Views

Question : Given that $\sqrt3=1.732$, the value of $\frac{3+\sqrt6}{5\sqrt3-2\sqrt{12}-\sqrt{32}+\sqrt{50}}$ is:

Option 1: 4.899

Option 2: 2.551

Option 3: 1.414

Option 4: 1.732

Team Careers360 25th Jan, 2024

Correct Answer: 1.732


Solution : Given:
$\sqrt{3}=1.732$
$\frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}$
Now evaluate:
$= \frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{4\times3}-\sqrt{16\times2}+\sqrt{25\times2}}$
$=\frac{3+\sqrt{6}}{5\sqrt{3}-4\sqrt{3}-4\sqrt{2}+5\sqrt{2}}$
$=\frac{3+\sqrt{6}}{5(\sqrt{3}+\sqrt{2})-4(\sqrt{3}+\sqrt{2})}$
$=\frac{3+\sqrt{6}}{\sqrt{3}+\sqrt{2}}$
Now multiply and divide with $\sqrt{3}-\sqrt{2}.$
$=\frac{3+\sqrt{6}}{\sqrt{3}+\sqrt{2}}\times\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}-\sqrt{2}}$
$=\frac{3\sqrt{3}-3\sqrt{2}+\sqrt{18}-\sqrt{12}}{3-2}$
$=\frac{3\sqrt{3}-3\sqrt{2}+\sqrt{9\times2}-\sqrt{4\times3}}{1}$
$=3\sqrt{3}-3\sqrt{2}+3\sqrt{2}-2\sqrt{3}$
$=3\sqrt{3}-2\sqrt{3}$
$=\sqrt{3}(3-2)$
$=\sqrt{3}$
$=1.732$
Hence, the correct answer is 1.732.

53 Views

Question : At Barren Island ,the only active volcano in India is situated in

Option 1: Andaman Island

Option 2: Nicobar Island

Option 3: Lakshdweep

Option 4: Minicoy

Team Careers360 25th Jan, 2024

Correct Answer: Andaman Island


Solution : The correct answer is Andaman Island.

Andaman and Nicobar islands are of volcanic origin. Barren Island is the only active stratovolcano in India. It is located in Andaman Island. Recently it has erupted in May 2023. It also had small eruptions in 2017 and

5 Views

Question : If $p-\frac{1}{p}=6$, then what is the value of $p^4+\frac{1}{p^4}$?

Option 1: 1562

Option 2: 1432

Option 3: 1442

Option 4: 1444

Team Careers360 25th Jan, 2024

Correct Answer: 1442


Solution : $\mathrm{p}-\frac{1}{\mathrm{p}}=6$
Squaring both sides, we get,
$⇒p^2+\frac{1}{p^2}-2(p)(\frac{1}{p})=36$
$⇒p^2+\frac{1}{p^2}-2=36$
$⇒p^2+\frac{1}{p^2}=38$
Squaring both sides again, we get,
$⇒p^4+\frac{1}{p^4}+2(p^2)(\frac{1}{p^2})=1444$
$⇒p^4+\frac{1}{p^4}+2=1444$
$\therefore p^4+\frac{1}{p^4}=1442$
Hence, the correct answer is 1442.

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