Staff Selection Commission Combined Graduate Level Exam
Question : Simplify the following expression. $(2 \times 7-5+9 \div 3) \div(4+2)^2 \times 2$
Option 1: $2$
Option 2: $\frac{3}{2}$
Option 3: $\frac{2}{3}$
Option 4: $1.5$
Correct Answer: $\frac{2}{3}$
Solution : $(2 \times 7-5+9 \div 3) \div(4+2)^2 \times 2$ $=\frac{(2\times 7-5+\frac{9}{3})}{(6)^2} \times 2$ $=\frac{(14-5+3)}{36} \times 2$ $=\frac{12}{36} \times 2$ $=\frac{2}{3}$ Hence, the correct answer is $\frac{2}{3}$.
Question : Which of the following statements are correct regarding the Supreme Court judgement on the validity of the 103rd Constitutional Amendment Act? A. The Supreme Court of India’s Constitution Bench for this case consisted of 5 judges. B. The Constitution Bench upholds the 10% of EWS reservation with a 3-2 majority. C. As per the Supreme Court judgement, the 103rd Constitutional Amendment is valid although it violates the basic structure of the Indian Constitution.
Option 1: A, B and C
Option 2: A and C only
Option 3: B and C only
Option 4: A and B only
Correct Answer: A and B only
Solution : The correct answer is A and B only.
The amendment act establishes a 10% reservation for economically weaker members of society for admission to central government-run educational institutions. The Constitution (103 Amendment) Act, 2019, is the official name for the 103rd Amendment
Question : Select the option that expresses the given sentence in passive voice.
The Mesopotamians invented the decimal system.
Option 1: The decimal system was invented by the Mesopotamians.
Option 2: The decimal system is invented by the Mesopotamians.
Option 3: The decimal system is an invention of the Mesopotamians.
Option 4: The decimal system has been invented by the Mesopotamians.
Correct Answer: The decimal system was invented by the Mesopotamians.
Solution : The correct choice is the first option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject
Question : Select the most appropriate ANTONYM of the given word.
Incoherent
Option 1: Gloomy
Option 2: Apparent
Option 3: Pensive
Option 4: Rational
Correct Answer: Rational
Solution : The fourth option is the correct choice.
Incoherent describes something that lacks logical consistency, while rational denotes clarity and logical reasoning, making them antonyms in this context.
The meanings of the other options are as follows:
Question : If the diameter of a sphere is 7 cm, find the volume of the sphere. (use $\pi=\frac{22}{7}$) (Rounded up to two decimal places).
Option 1: $184 \ \text{cm}^3$
Option 2: $201.34\ \text{cm}^3$
Option 3: $128.87 \ \text{cm}^3$
Option 4: $179.67 \ \text{cm}^3$
Correct Answer: $179.67 \ \text{cm}^3$
Solution : Given: The diameter of a sphere is 7 cm. Volume of the sphere = $\frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere. Volume of the sphere $=\frac{4}{3}\pi (\frac{7}{2})^{3}=\frac{4}{3}×\frac{22}{7}×(\frac{7}{2})^{3} = 179.67 \ \text{cm}^3$ Hence, the correct answer is $179.67 \ \text{cm}^3$.
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. I went on (1) _____ trying to 'find out how to'; but I wrote two or three novels without feeling that I had made (2) _____ progress. It was not until I wrote 'Ethan Frome' that I suddenly felt the artisan's full (3) _____ of his implements. When 'Ethan Frome' first appeared, I was (4) _____ criticised by the reviewers for what was considered the clumsy structure of the tale. I had pondered long on this structure, had felt its peculiar difficulties, and possible awkwardness, but could think of no (5) _____ which would serve as well in the given case: and though I am far from thinking 'Ethan Frome' is my best novel, and am bored and even exasperated when I am told that it is, I am still sure that its structure is not its weak point.
Question:
Select the most appropriate option to fill in blank no. 5.
Option 1: adjudication
Option 2: adulteration
Option 3: alternate
Option 4: alternative
Correct Answer: alternative
Solution : The correct answer is the fourth option.
Alternative means available as another possibility or choice, which fits perfectly in the sentence. The sentence conveys the author's contemplation and struggles with a particular structure in their writing.
Therefore, the correct sentence should be: "I had pondered
Question : A and B can do a work together in 18 days. A is three times as efficient as B. In how many days can B alone complete the work?
Option 1: 60 days
Option 2: 72 days
Option 3: 54 days
Option 4: 64 days
Correct Answer: 72 days
Solution : Given: A and B can do a work together in 18 days. A is three times as efficient as B. Total work = Time × Efficiency Let the efficiencies of B and A are 1 and 3 respectively. So, total work = 18 ×
Question : Directions: Select the option that represents the letters that when placed from left to right in the following blanks, will complete the letter series. _VJRWB_ _RWBVL_ _BV_ _W
Option 1: AVKRWMR
Option 2: AWKRXNR
Option 3: BVKRWMR
Option 4: BWKRWMR
Correct Answer: BVKRWMR
Solution : Given: _VJRWB_ _RWBVL_ _BV_ _W
To fill the series we have to divide the series – _VJRW / B_ _RW / BVL_ _ / BV_ _W
Let's check each option – First option: AVKRWMR; AVJRW / BVKRW / BVLRW /
Question : The modulus of rigidity is the ratio of:
Option 1: longitudinal stress to longitudinal strain
Option 2: Volume stress to volume strain
Option 3: shearing stress to shearing strain
Option 4: tensile stress to tensile strain
Correct Answer: shearing stress to shearing strain
Solution : The correct option is - shearing stress to shearing strain
The modulus of rigidity, also known as the shear modulus or G, is a material property that describes its response to shear stress. It is defined as the ratio of the
Question : The import and export of a country (in lakhs rupees) during a certain period is given in the following bar graph. Read the bar graph carefully and answer the following question. What is the percentage increment in imports during the year 2016-17 as compared to the year 2015-16? (correct up to two decimals)
Option 1: 60.62%
Option 2: 62.60%
Option 3: 38.50%
Option 4: 65.32%
Correct Answer: 62.60%
Solution : Import in 2016-17 = 1200 Import in 2015-16 = 738 According to the formula, ⇒ Increment = 1200 – 738 = 462 $\therefore$ Required percentage $=\frac{462}{738}×100 = 62.60\%$ Hence, the correct answer is 62.60%.
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