Staff Selection Commission Combined Graduate Level Exam
Question : The fourth proportional to 16, 26, and 32 is:
Option 1: 16
Option 2: 52
Option 3: 54
Option 4: 24
Correct Answer: 52
Solution : The fourth proportional to 16, 26 and 32 = $\frac{26 × 32}{16}$ = 52 Hence, the correct answer is 52.
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any error, mark 'No error' as your answer.
Karan call the restaurant / to ask if he could / reserve a table for tomorrow.
Option 1: Karan call the restaurant
Option 2: reserve a table for tomorrow
Option 3: to ask if he could
Option 4: No error
Correct Answer: Karan call the restaurant
Solution : The correct choice is the first option.
The error in the sentence is related to the verb-tense agreement. The original sentence uses the base form of the verb call, but it should be in the past tense to match the context of
Question : Tarun owned a plot of land having an area that was 10% more than the area of the plot owned by Basab, while the area of the plot of land owned by Nakul was 40% more than the area of the plot owned by Tarun. If the area of the plot owned by Nakul was 2695 square feet, what was the area (in square feet) of the plot owned by Basab?
Option 1: 1750
Option 2: 1740
Option 3: 1780
Option 4: 1800
Correct Answer: 1750
Solution : Let $x$ be the area of the plot owned by Basab. According to the question, The area of Tarun's plot is 10% more than that of Basab ⇒ The area of Tarun's plot $=x+0.10x=1.10x$. Similarly, the area of Nakul's plot is 40% more than that
Question : S, T, and U can complete a work in 40, 48, and 60 days, respectively. They received Rs. 10,800 to complete the work. They began the work together, but T left 2 days before the completion of the work and U left 5 days before the completion of the work. S has completed the remaining work alone. What is the share of S (in Rs.) from the total money?
Option 1: 4000
Option 2: 4320
Option 3: 4500
Option 4: 4860
Correct Answer: 4860
Solution : S’s 1 day work =$\frac{1}{40}$ T’s 1 day work = $\frac{1}{48}$ U’s 1 day work = $\frac{1}{60}$ Let the work be completed in $x$ days, such that S worked for all $x$ days, T worked for $(x - 2)$ days, and U for $(x -
Question : Which among the following is used to treat indigestion?
Option 1: Antacid
Option 2: Antiseptic
Option 3: Analgesic
Option 4: Antibiotic
Correct Answer: Antacid
Solution : The correct option is antacid.
Antacids and acid-lowering drugs such as proton pump inhibitors (PPIs) can help relieve symptoms caused by high stomach acid which can be a reason for indigestion.
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".
Me and my wife (1)/ were at home (2)/ last night. (3)/ No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The error lies in the first part of the sentence.
"Me and my wife" should be corrected to "My wife and I".
The correction follows the rule of using pronouns correctly in a sentence. When referring to oneself along with someone else, the first-person pronoun
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 effects of plastic bags on the environment are really (1)______ devastating because there is no disposal method that will really help eliminate the problem. The biggest problem with them is that once they have been (2)______, they end up in the trash, which then ends up in the landfill or is burned. The indefinite period of time that it takes for the average plastic bag to break (3)______ can be literally hundreds of years. Throughout the world, plastic bags are responsible for the suffocation and deaths of woodland animals, as well as (4)______ soil nutrients. The land litter that is made up of plastic bags has the potential to kill over and over again. It has been estimated that one bag has the potential to inadvertently kill one animal per every three months due to unintentional digestion or inhalation. There are always alternatives to plastic bags, and the search for more alternatives continues. Question: Select the most appropriate option to fill in the blank number 1.
Option 1: vaguely
Option 2: randomly
Option 3: quite
Option 4: seldom
Correct Answer: quite
Solution : The right choice is the third option.
The word quite emphasises the considerable or significant level of devastation caused by plastic bags in the environment. It indicates that the significant or considerable consequences of plastic bags on the environment are notably severe, stressing the
Question : A booklet released by the Lok Sabha Secretariat has listed out words and expressions that would be considered unparliamentary in both the Lok Sabha and Rajya Sabha. Which of the following words is not declared unparliamentary?
Option 1: Shakuni
Option 2: Nautanki
Option 3: Chakkar
Option 4: Girgit
Correct Answer: Chakkar
Solution : The correct option is Chakkar.
The word chakkar is not declared unparliamentary by the Lok Sabha Secretariat. The other three words, Shakuni, Nautanki, and Girgit, are all considered unparliamentary, as they are to be abusive, insulting, or defamatory. Shakuni is a character from the
Question : Directions: The sum of the ages of a father and a son presently is 70 years. After 10 years, the son's age is exactly half that of the father. What are their ages now?
Option 1: 45 years, 25 years
Option 2: 50 years, 20 years
Option 3: 47 years, 23 years
Option 4: 50 years, 25 years
Correct Answer: 50 years, 20 years
Solution : Let the father's present age be A, and his son's present age be B.
As per the given information, The sum of the father's present age and his son's present age is 70 years ⇒ A + B = 70
After 10
Question : If $2 \cot \theta = 3$, find the value of $\frac{\sqrt{13} \sin \theta – 3 \tan \theta}{3 \tan \theta + \sqrt{13} \cos \theta}$
Option 1: $\frac{1}{\sqrt{13}}$
Option 2: $\frac{2}{\sqrt{13}}$
Option 3: 0
Option 4: $\frac{2}{3}$
Correct Answer: 0
Solution : $2 \cot \theta = 3$ $⇒\cot \theta=\frac{3}{2}$ $⇒\frac{\text{Base}}{\text{Perpendicular}} =\frac{3}{2}$ $⇒\frac{AB}{BC}= \frac{3}{2}$ Let $AB = 3k, BC = 2k$ From Pythagoras' Theorem, $AC^{2} = AB^{2} + BC^{2}$ $⇒AC^{2} = (3k)^{2} + (2k)^{2}$ $⇒AC^{2} = 13k^2$ $⇒AC = \sqrt{13}k$ $\sin\theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}} = \frac{2k}{\sqrt{13}k}=\frac{2}{\sqrt{13}}$ $\cos\theta = \frac{\text{Base}}{\text{Hypotenuse}}
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