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Staff Selection Commission Combined Graduate Level Exam

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Question : The marked price of an article is 40% above its cost price. If its selling price is $73 \frac{1}{2} \%$ of the marked price, then the percentage profit is:

Option 1: 2.9%

Option 2: 2.7%

Option 3: 2.6%

Option 4: 2.5%

Team Careers360 19th Jan, 2024

Correct Answer: 2.9%


Solution : Let the cost price of the article be $100$.
Then marked price of the article is $(100 + 40) = 140$
Selling price is $73 \frac{1}{2}\%$ of the marked price
= $\frac{147}2\%$ of the marked price
= ${140 × (\frac{147}2)}\times \frac{1}{100}$
= $ \frac{(140 ×

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Question : Bridgmanite is

Option 1: A bridge on the River Thames

Option 2: Name of the game

Option 3: Earth's most abundant mineral

Option 4: Name of the music

Team Careers360 18th Jan, 2024

Correct Answer: Earth's most abundant mineral


Solution : The correct option is Earth's most abundant mineral.

Bridgmanite, also known as silicate perovskite, is a vital mineral found in the lower mantle of the Earth. It is named after Percy Bridgman, an American scientist who won the Nobel Prize in

24 Views

Question : The following formula is used to calculate which of the following?
$\frac{\text { Angle of arc at centre }}{360°} \times \pi \times \text{Diameter}$

Option 1: Length of a sector

Option 2: Area of an arc

Option 3: The radius of a circle

Option 4: Length of an arc

Team Careers360 11th Jan, 2024

Correct Answer: Length of an arc


Solution : The circumference of a circle = $2\pi r$
So, the length of an arc $=\frac{\text{Angle of arc at centre}(\theta)}{360°}​×2\pi r$
$=\frac{\text { Angle of arc at centre }}{360°} \times \pi \times \text{diameter}$
Hence, the correct answer is 'Length of an arc'.

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Question : If $x^{3}+\frac{1}{x^{3}}=110$, then find the value of $x+\frac{1}{x}$:

Option 1: 2

Option 2: 3

Option 3: 4

Option 4: 5

Team Careers360 15th Jan, 2024

Correct Answer: 5


Solution : Given: $x^{3}+\frac{1}{x^{3}}=110$
By using the algebraic identity,
$x^{3}+\frac{1}{x^{3}}=(x+\frac{1}{x})^3–3×x×\frac{1}{x}(x+\frac{1}{x})$
⇒ $110 = (x+\frac{1}{x})^3–3(x+\frac{1}{x})$
Now, putting the value of $(x+\frac{1}{x})=y$
⇒ $110 = y^3–3y$
By using trial and error, putting y = 5, we get
⇒ $110 = 5^3–3×5$
⇒ $110 = 125–15$
$110 =110$
Thus, $(x+\frac{1}{x})=5$

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Question : Find the greatest number that will divide 390, 495, and 300 without leaving a remainder.

Option 1: 5

Option 2: 15

Option 3: 25

Option 4: 35

Team Careers360 25th Jan, 2024

Correct Answer: 15


Solution : HCF of the given numbers:
390 = (2 × 3 × 5 × 13)
495 = (3× 3 × 5 × 11)
300 = (2 × 2 × 3 × 5 × 5)
Now HCF = (3 × 5) = 15
So, 15 is the

18 Views

Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.

All state universities and colleges in Uttar Pradesh, one of the (1)________ in India, will now (2)______ a "save water" ritual named 'Jal Bharo' in place of 'lamp lighting' to inaugurate their annual convocations. The governor of the state, who is also chancellor of state universities, instructed that every university and college in the state should install rainwater harvesting plants on its campus. 'Jal Bharo' signifies (3)_______ the vision of 'Jal Shakti'. This ceremony symbolises the (4)________ importance of water conservation, whereas the lamp lighting ceremony symbolised removing darkness through education and spreading the light of learning. It is really a (5)________ initiative. Every educational institute in India should ensure to save and recharge groundwater by installing rainwater harvesting plants. These kinds of initiatives provide awareness of using and saving water, the elixir of life.

Question:
Select the most appropriate option to fill in blank no. 5.

Option 1: laudable

Option 2: louder

Option 3: labelled

Option 4: lower

Team Careers360 21st Jan, 2024

Correct Answer: laudable


Solution : The correct choice is the first option

Laudable means deserving praise and commendation. The initiative by the colleges should be praised.

The meanings of the other options are as follows:

  • Louder is a comparative form of the adjective "loud", which means producing much noise.
9 Views

Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".

Indian women (1) / are good (2) / in cooking. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 18th Jan, 2024

Correct Answer: (3)


Solution : The correct choice is the third option.

In should be replaced with at to convey the intended meaning that Indian women excel in the skill of cooking. 

There is an error in the use of the preposition in the sentence. "Good at" emphasises proficiency when

9 Views

Question : Select the most appropriate synonym of the given word from the sentence.
Dangerous
The traffic police have released a safe advisory that driving without seat belts is risky, beneficial, and fearful for human life.

Option 1: Risky

Option 2: Beneficial

Option 3: Safe

Option 4: Released

Team Careers360 10th Jan, 2024

Correct Answer: Risky


Solution : The first option is the correct choice.

Dangerous means likely to cause harm or injury. Risky refers to a high degree of potential danger and being likely to cause harm.

The meanings of the other options are as follows:

  • Beneficial: Having a positive or
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Question : Which of the following revolts was led by Kanhu and Sidhu?

Option 1: Bhils Revolt

Option 2: Khasi Revolt

Option 3: Munda Revolt

Option 4: Santhal Revolt

Team Careers360 2nd Jan, 2024

Correct Answer: Santhal Revolt


Solution : The correct answer is the Santhal Revolt.

Sidhu Murmu and Kanhu Murmu led the Santhal uprising (1855–1856) in present-day Jharkhand, and Bengal in eastern India against both British colonial authority and the corrupt zamindari system.

The Santhals were woodland dwellers who relied on

31 Views

Question : A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately:

Option 1: 10.4 km/hr

Option 2: 10.8 km/hr

Option 3: 11.0 km/hr

Option 4: 12.2 km/hr

Team Careers360 3rd Jan, 2024

Correct Answer: 10.8 km/hr


Solution : Average speed = $\frac{total \;distance}{total \;time}$
Average speed = $\frac{10+12}{\frac{10}{12}+ \frac{12}{10}} = \frac{22}{244}\times 120 $
= 10.8 km/hr
Hence, the correct answer is 10.8 km/hr.

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