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Staff Selection Commission Combined Graduate Level Exam

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Question : A prism has a regular hexagonal base with a side of 6 cm. If the total surface area of the prism is 216$\sqrt3$ cm2, then what is the height (in cm) of the prism?

Option 1: $3\sqrt3$

Option 2: $6\sqrt3$

Option 3: $6$

Option 4: $3$

Team Careers360 23rd Jan, 2024

Correct Answer: $3\sqrt3$


Solution : Given: Side, $a$ = 6 cm
Let the height be $h$.
Area of the base of the hexagonal prism $=6 \times \frac{\sqrt3}{4}a^2=6 \times \frac{\sqrt3}{4} \times 6^2 = 54\sqrt3$
Total curved surface area of prism = 2 × (Area of base) + 6 × (Side of

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Question : Select the INCORRECTLY spelt word.

Option 1: Reasonable

Option 2: Laughable

Option 3: Blessed

Option 4: Prophane

Team Careers360 24th Jan, 2024

Correct Answer: Prophane


Solution : The correct choice is the fourth option.

The incorrectly spelt word is prophane. The correct spelling is profane. It means "showing disrespect or contempt for sacred things".

The meanings of the other options are as follows:

  • Reasonable means fair and sensible; based on
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Question : Select the sentences that contain no spelling errors.

Option 1: My mother asked me to purchase two bread knives having serrated edges.

Option 2: My mother asked me to purchase two bread knives having seerated edges.

Option 3: My mother asked me to purchase two bread knives having serratted edges.

Option 4: My mother asked me to purchase two bread knives having serated edges.

Team Careers360 25th Jan, 2024

Correct Answer: My mother asked me to purchase two bread knives having serrated edges.


Solution : The correct option is the first option.

Explanation
The sentence is well-structured and uses the correct spelling for each word, conveying the clear message that your mother wants you to buy two knives specifically

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Question : Which festival has the meaning 'to boil' or 'boiling' in its name?

Option 1: Pongal

Option 2: Onam

Option 3: Raja

Option 4: Bihu

Team Careers360 24th Jan, 2024

Correct Answer: Pongal


Solution : The correct answer is Pongal.

A harvest celebration known as Pongal is observed by the Tamil population. Pongal, which is observed over four days, ushers in the Tamil month of Thai, which is seen as fortunate. Every year, it usually occurs on January 14 or

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Question : Select the option that can be used as a one-word substitute for the given group of words.
A person who gives help and sympathy to people who need it.

Option 1: Preacher

Option 2: Moralist

Option 3: Samaritan

Option 4: Pardoner

Team Careers360 25th Jan, 2024

Correct Answer: Samaritan


Solution : The correct answer is the third option.

A person who gives help and sympathy to those in need, especially someone who provides assistance to strangers or those facing difficulties. This term is derived from the biblical parable of the Good Samaritan.

The meanings of the

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Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution’.
She lived in well-resourced surroundings.

Option 1: luxurious

Option 2: luxuriousness

Option 3: luxury

Option 4: No substitution

Team Careers360 23rd Jan, 2024

Correct Answer: luxurious


Solution : The correct option is the first option.

Explanation:
Luxurious best fits the context of describing opulent or lavish surroundings, indicating a high level of comfort and wealth. The sentence implies that she lived in surroundings that were well-equipped or affluent, indicating a level of luxury

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Question : Two numbers are 90% and 75% less than a third number. By what percentage should the first number be increased so that it becomes equal to the second number?

Option 1: 250

Option 2: 200

Option 3: 150

Option 4: 100

Team Careers360 23rd Jan, 2024

Correct Answer: 150


Solution : Given: Two numbers are 90% and 75% less than a third number.
Let the third number be 100.
Now, the first and second numbers are 90% and 75% less than the third number.
So, the first number = (100 – 100 × $\frac{90}{100}$) = 10

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Question : The surface area of a sphere is 221.76 cm2. Its volume (in cm3) is (correct to one decimal place):
(Take $\pi=\frac{22}{7}$)

Option 1: 315.6

Option 2: 289.8

Option 3: 280.4

Option 4: 310.5

Team Careers360 23rd Jan, 2024

Correct Answer: 310.5


Solution : The total surface area of the sphere = $4\pi r^2$
Where, $r$ = radius of the sphere
According to the question, we have
$4\pi r^2 = 221.76$
$⇒4 \times (\frac{22}{7}) \times r^2 = 221.76$
$⇒ r^2 = 17.64$
$\therefore r = 4.2\ \text{cm}$
Now,
The

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