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Staff Selection Commission Combined Graduate Level Exam

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Question : If $a=101$, then the value of $a(a^2-3a+3)$ is:

Option 1: 1000000

Option 2: 1010101

Option 3: 1000001

Option 4: 999999

Team Careers360 20th Jan, 2024

Correct Answer: 1000001


Solution : Given: $a=101$
Substitute the value of $a=101$ in the equation below, we get,
$a(a^2-3a+3)$
$=101(101^2-3×101+3)$
$=101(10201-303+3)$
$=101×9901$
$=1000001$
Hence, the correct answer is 1000001.

17 Views

Question : Which one of the following universities is a Central University ?

Option 1: Kolkata

Option 2: Dibrugarh

Option 3: Pondicherry

Option 4: Kurukshetra

Team Careers360 20th Jan, 2024

Correct Answer: Pondicherry


Solution : The correct option is Pondicherry.

The Central University of Pondicherry, often known as Pondicherry University, is a central university in Puducherry, India, which is a Union Territory. It was established by an Act of Parliament in 1985 and offers a wide range of academic programmes.

460 Views

Question : The angle of elevation of the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.

Option 1: $70 \sqrt{3} \mathrm{~m}$

Option 2: $60 \sqrt{3} \mathrm{~m}$

Option 3: $50 \sqrt{3} \mathrm{~m}$

Option 4: $70 \sqrt{2} \mathrm{~m}$

Team Careers360 18th Jan, 2024

Correct Answer: $70 \sqrt{3} \mathrm{~m}$


Solution :
Height = AC
We know, $\tan \theta=\frac{\text{Perpendicular}}{\text{Base}}$
⇒ $\tan60° =\frac{AC}{70}$
⇒ $\sqrt3=\frac{AC}{70}$
⇒ $AC=70\sqrt3\text{ m}$
Hence, the correct answer is $70\sqrt3\text{ m}$.

20 Views

Question : Select the most appropriate ANTONYM of the underlined word.
I object to the false claims made against me.

Option 1: assent

Option 2: ease

Option 3: restore

Option 4: ascertain

Team Careers360 18th Jan, 2024

Correct Answer: assent


Solution : The correct choice is the first option.

Explanation:

Assent means to agree or express approval.

Ease means to make something less difficult or more manageable; the opposite of difficulty or hardship.

Restore means to bring back or return something to its original state; the opposite

38 Views

Question : Which of the following folk dance forms does not belong to the State of Gujarat?

Option 1: Garba

Option 2: Dandiya Raas

Option 3: Bidesiya

Option 4: Vinchhudo

Team Careers360 22nd Jan, 2024

Correct Answer: Bidesiya


Solution : The correct option is Bidesiya.

This originated in the Bhojpuri-speaking regions of Bihar and Uttar Pradesh in India. The Bidesiya dance form is deeply connected to the Bidesiya folk music genre, which expresses the emotions and experiences of migrants who have left their homes

28 Views

Question : The base of a prism is a right-angle triangle whose sides are 9 cm, 12 cm, and 15 cm. Volume of this prism is 648 cm3. What will be the height of the prism?

Option 1: 14 cm

Option 2: 12 cm

Option 3: 9 cm

Option 4: 16 cm

Team Careers360 23rd Jan, 2024

Correct Answer: 12 cm


Solution : Given: The base of a prism is a right-angle triangle whose sides are 9 cm, 12 cm, and 15 cm.
The volume of this prism is 648 cm3.
Base area = $\frac{1}{2}$ × Perpendicular × Base
= $\frac{1}{2}$ × 9 × 12

18 Views

Question : Select the most appropriate meaning of the underlined word in the given sentence.

Arthur has some strange ideas, but on this occasion, I am inclined to agree with him.

Option 1: tended

Option 2: conflicted

Option 3: refused

Option 4: conspired

Team Careers360 25th Jan, 2024

Correct Answer: tended


Solution : The correct choice is the first option.

Inclined, in this context, means having a tendency or a leaning towards a particular opinion or action. It implies a preference or a slight leaning towards agreeing with Arthur's ideas on this occasion. Hence, tended is the

93 Views

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
Here / come / the bus / for Lucknow.

Option 1: for Lucknow

Option 2: the bus

Option 3: come

Option 4: here

Team Careers360 23rd Jan, 2024

Correct Answer: come


Solution : The correct choice is the third option.

In this sentence, "come" should be replaced with "comes" to match the subject-verb agreement. "The bus" is a singular noun, and the correct verb form is "comes" to match

17 Views

Question : The short-run marginal cost curve is __ shaped.

Option 1: U

Option 2: V

Option 3: X

Option 4: W

Team Careers360 25th Jan, 2024

Correct Answer: U


Solution : The correct answer is U.

In the short term, the law of variable proportions has the marginal cost curve to be U-shaped. The Marginal cost (MC) curve, by law, first slopes downward until it reaches its lowest point, at which point it begins to

9 Views

Question : Direction: From the given alternative words, select the word which cannot be formed using the letters of the given word.

CUMBERSOME

Option 1: MERCY

Option 2: MOUSE

Option 3: SOBER

Option 4: ROME

Team Careers360 22nd Jan, 2024

Correct Answer: MERCY


Solution : Given: CUMBERSOME

Option first: MERCY

All the letters of MERCY​​​​​ are not present in the word CUMBERSOME as Y is not present in the given question word.

Option second: MOUSE

All the letters of MOUSE are present in the word CUMBERSOME.

Option third: 

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