Staff Selection Commission Combined Graduate Level Exam
Question : Of the 1000 inhabitants in a town, 60% are male of whom 20% are literate. If of all the inhabitants, 25% are literate, what percentage of the females in the town are literate?
Option 1: 27.5
Option 2: 32.5
Option 3: 37.5
Option 4: 22.5
Correct Answer: 32.5
Solution : Given: The total inhabitants = 1000 60% are male, so the number of males = (1000 × $\frac{60}{100}$) = 600 So, the number of females = (1000 – 600) = 400 Now, 25% of inhabitants are literate = (1000 × $\frac{25}{100}$) = 250 Also, of
Question : Direction: Madhavi and Shalini are good in drama and Computer Science. Anjana and Madhavi are good in Computer Science and Physics. Anjana, Purnima, and Nirmala are good in Physics and History. Nirmala and Anjana are good in Physics and Math. Purnima and Shalini are good in History and Drama. Who is good in Physics, History, and Drama?
Option 1: Nirmala
Option 2: Purnima
Option 3: Anjana
Option 4: Shalini
Correct Answer: Purnima
Solution : Given: Madhavi and Shalini are good in Drama and Computer Science. Anjana, Purnima, and Nirmala are good in Physics and History. Anjana and Madhavi are good in Computer Science and Physics. Nirmala and Anjana are good in Physics and Math. Purnima and Shalini are good
Question : Directions: A situation is given, followed by two conclusions I and II. Read the situation and both the conclusions carefully and select the correct answer. Situation: Since the past 15 years, 75% of the products in the world’s pottery market come from Country K. However, the employment in the pottery industry of Country K has been consistently declining by 5 - 9% every year since the past 3 years. Conclusions: I. Even after declining employment, Country K has enough potters to continue contributing equally to the international market. II. The local demand for pottery in Country K has substantially decreased leading to less interest among potters.
Option 1: Neither I nor II can be concluded
Option 2: Only II can be concluded
Option 3: Only I can be concluded
Option 4: Both I and II can be concluded
Correct Answer: Only I can be concluded
Solution : Given: Situation: Since the past 15 years, 75% of the products in the world’s pottery market come from Country K. However, the employment in the pottery industry of Country K has been consistently declining by 5-9% every year since the past
Question :
Which one of these animals is jawless:
Option 1:
Sphyrna
Option 2:
Trygon
Option 3: Myxine
Option 4: Shark
Correct Answer: Myxine
Solution : The correct option is Myxine.
Myxine, often known as a hagfish, is a prehistoric, eel-like marine organism of the Myxini class. Unlike sharks (Sphyrna and Trygon), hagfish do not have actual jaws and instead eat by rasping away at food with their tooth-like projections.
Question : Select the INCORRECTLY spelled word in the following sentence. There lies no guarantee that the hierchical structural framework between the elite and downtrodden sections of the society is right.
Option 1: hierchical
Option 2: guarantee
Option 3: structural
Option 4: downtrodden
Correct Answer: hierchical
Solution : The correct choice is the first option.
Explanation: The incorrectly spelled word in the sentence is "hierchical". The correct spelling is hierarchical, which refers to a system or structure that is arranged in a hierarchy with levels of importance or authority, often organised
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".
The writer is (1) / evidently enamoured at (2) / the subject. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence has an error in part (2).
It should be: "The writer is evidently enamoured with the subject."
Here's the justification: When expressing a strong liking or admiration for something, we use "enamoured with" but not "enamoured at." So, it should be "enamoured
Question : Directions: Which letter cluster will replace the question mark (?) to complete the given series? EGJM, GFLN, IENO, ?, MCRQ
Option 1: KDPP
Option 2: KPDD
Option 3: KPDK
Option 4: KPDP
Correct Answer: KDPP
Solution : Given: EGJM, GFLN, IENO, ?, MCRQ
Add 2 in the place value of the first and the third letter, subtract 2 from the place value of the second letter, and add 1 in the place value of the fourth letter to find the next term
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 45 * 86 * 23 * 36 * 18 * 2021
Option 1: ×, +, –, ÷, =
Option 2: +, –, ×, ÷, =
Option 3: –, ×, +, ÷, =
Option 4: +, ×, –, ÷, =
Correct Answer: +, ×, –, ÷, =
Solution : Given: 45 * 86 * 23 * 36 * 18 * 2021
Replace the * sign given in the equation with the assigned signs in the options. Let's check the options – First option: ×, +, –, ÷, = ⇒ 45
Question : If $m+n=1$, then the value of $m^{3}+n^{3}+3mn$ is equal to:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 1
Solution : Given: $m+n=1$ Cubing both sides, we get $(m+n)^3=1^3$ ⇒ $m^3+n^3+3mn(m+n)=1$ Putting the value of $(m+n)$ ⇒ $m^3+n^3+3mn(1)=1$ Thus, $m^3+n^3+3mn=1$ Hence, the correct answer is 1.
Question : If $x+ \sqrt{5} = 5+\sqrt{y}$ are positive integers, then the value of $\frac{\sqrt{x}+y}{x+ \sqrt{y}}$ is:
Option 1: 1
Option 2: 2
Option 3: $\sqrt{5}$
Option 4: 5
Solution : Given: $x+ \sqrt{5} = 5+\sqrt{y}$ By comparing rational and irrational numbers, we get ⇒ $x = 5$ and $\sqrt{y} = \sqrt{5}$ ⇒ $y = 5$ By putting the values of $x$ and $y$ in the given expression, $ \frac{\sqrt{x}+y}{x+ \sqrt{y}}$ $=\frac{\sqrt{5}+5}{5+ \sqrt{5}}$ $= 1$ Hence,
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