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Staff Selection Commission Combined Graduate Level Exam

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Question : In $\triangle {ABC} $, AB = 48 cm, BC = 55 cm and AC = 73 cm. If O is the centroid of the triangle, then the length (in cm) of BO (correct to one decimal place) is:

Option 1: 25.6

Option 2: 24.3

Option 3: 20.4

Option 4: 18.3

Team Careers360 25th Jan, 2024

Correct Answer: 24.3


Solution :
Since 48, 55, and 73 are triplets
$\triangle ABC$ is a right-angled triangle and $\angle B = 90^\circ$
We know that in a right-angled triangle,
Length of the median from the right-angled vertex = $\frac{\text{Length of hypotenuse}}{2}$
⇒ $BM = \frac{AC}{2} = \frac{73}{2}$
And we

24 Views

Question : The value of $\frac{27 \times(0.25)^3+125(0.05)^3}{(0.75)^2-0.25 \times 0.5}$ is :

Option 1: 1

Option 2: 0.75

Option 3: 0.25

Option 4: 0.5

Team Careers360 9th Jan, 2024

Correct Answer: 1


Solution : Given expression,
$\frac{27 \times(0.25)^3+125(0.05)^3}{(0.75)^2-0.25 \times 0.5}$
= $\frac{27×(0.25)^3+(5×0.05)^3}{(0.75)^2−0.25×0.5}$
= $\frac{27×(0.25)^3+(0.25)^3}{(0.25×3)^2−0.25×0.5}$
= $\frac{(0.25)^3×(27+1)}{(0.25)^2×9−0.25×0.5}$
= $\frac{(0.25)^3×(28)}{(0.25)×[(9×0.25)−0.5]}$
= $\frac{(0.25)^3×(28)}{(0.25)×[2.25−0.5]}$
= $\frac{0.25×0.25×28}{1.75}$
= $\frac{0.25×28}{7}$
= 1
Hence, the correct answer is 1.

36 Views

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

In most organisations, there are predators who take advantage of the meek ones.

Option 1: supporters

Option 2: philanthropists

Option 3: benefactors

Option 4: exploiters

Team Careers360 18th Jan, 2024

Correct Answer: exploiters


Solution : The most appropriate choice is the fourth option.

Explanation: Exploiters are individuals who take advantage of others for their gain or benefit, often at the expense of the exploited. This term is synonymous with predators in the context of the sentence, as it refers to

36 Views

Question : Identify the INCORRECTLY spelt word in the given sentence.
One part of the philosophy of life’s meaning consists of the systemetic attempt to identify what people have in mind when they think about the topic.

Option 1: attempt

Option 2: philosophy

Option 3: think

Option 4: systemetic

Team Careers360 7th Jan, 2024

Correct Answer: systemetic


Solution : The correct choice is the fourth option.

Explanation:
The incorrectly spelled word in the sentence is systemetic. The correct spelling is systematic. The vowel 'e' should be replaced with 'a'.
Systematic means having a methodical, organised approach, following a system or a plan in a

10 Views

Question : Select the INCORRECTLY spelled word.

Option 1: Concieve

Option 2: Detect

Option 3: Predict

Option 4: Stimulate

Team Careers360 11th Jan, 2024

Correct Answer: Concieve


Solution : The correct choice is the first option.

The word concieve is incorrect, and the correct spelling is conceive.

It means to form or develop an idea, thought, or plan in the mind; to imagine or create mentally.

It is often used in the context of

49 Views

Question : A man bought 500 metres of electronic wire at 50 paise per metre. He sold 50% of it at a profit of 5%. At what percentage should he sell the remainder so as to gain 10% on the whole transaction?

Option 1: 13%

Option 2:

12.5%

Option 3:

15%

Option 4:

20%

Team Careers360 8th Jan, 2024

Correct Answer:

15%


Solution : The cost price of the electronic wire = Rs. 0.50 per metre.
The man bought 500 metres, so the total cost price = Rs. 0.50 × 500 = Rs. 250
He sold 50% of it at a profit of 5%.
The selling price of these

13 Views

Question : Select the option that can be used as a one-word substitute for the given group of words

The murder of a large number of people from a particular nation or ethnic group.

Option 1: Geronticide

Option 2: Honour killing

Option 3: Genocide

Option 4: Mariticide

Team Careers360 21st Jan, 2024

Correct Answer: Genocide


Solution : The correct choice is the third option.

Explanation: "Genocide" is a term that specifically refers to the systematic and intentional killing of a large number of people from a particular nation or ethnic group, with the aim of destroying that group in whole or

5 Views

Question : Comprehension:

In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

The modern world (1) ________ around technology. It has advanced dramatically in the beyond twenty years, and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science, which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smartphones keep us constantly connected to the virtual world, the wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the Internet to pay our bills, book tickets, travel, and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2) ________ data and reduces external interference, is currently in development.
On the other hand, such rapid progress comes with some (3) ________. Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4) ________ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programmes were established to help people get off of it. However, technology's benefits (5)________ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well, but not completely.

Select the most appropriate option to fill in the blank no. 4.

Option 1: secret

Option 2: confidential

Option 3: regular

Option 4: common

Team Careers360 18th Jan, 2024

Correct Answer: confidential


Solution : The most appropriate choice is the second option.

The term confidential refers to information that is private or not meant to be disclosed to others. In the context of the passage, it discusses the theft of personal and confidential data.

29 Views

Question : Which of the following is used as a cooling medium for the Large Hadron Collider (LHC) and the superconducting magnets in MRI scanners and NMR spectrometers?

Option 1: Neon

Option 2: Chlorine

Option 3: Argon

Option 4: Helium

Team Careers360 8th Jan, 2024

Correct Answer: Helium


Solution : The correct option is Helium.

The cooling medium used for the Large Hadron Collider (LHC), superconducting magnets in MRI (Magnetic Resonance Imaging) scanners, and NMR (Nuclear Magnetic Resonance) spectrometers is typically liquid Helium (LHe). Liquid Helium is used to maintain the superconducting properties of the

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