Staff Selection Commission Combined Graduate Level Exam
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
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
Question : Directions: Select the option related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Bull : Cow :: Gander : ?
Option 1: Doe
Option 2: Goose
Option 3: Mare
Option 4: Hen
Correct Answer: Goose
Solution : Given: Bull : Cow :: Gander : ?
Like, the male cow is called a bull. Similarly, a gander is a male bird, and its female is called a goose.
Hence, the second option is correct.
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
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.
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
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
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
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
Question : Select the INCORRECTLY spelled word.
Option 1: Concieve
Option 2: Detect
Option 3: Predict
Option 4: Stimulate
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
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%
Correct Answer:
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
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
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
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
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.
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
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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