Staff Selection Commission Combined Graduate Level Exam
Question : The square of the difference between two given natural numbers is 324, while the product of these two given numbers is 144. Find the positive difference between the squares of these two given numbers.
Option 1: 630
Option 2: 540
Option 3: 450
Option 4: 360
Correct Answer: 540
Solution : Let $a$ and $b$ be the two numbers. So, $ab$ = 144 and $(a-b)^2 = 324$ ⇒ $ab$ = 144 and $(a-b) = 18 $ We know that $(a+b)^2 = (a-b)^2 + 4ab$ ⇒ $(a+b)^2 = 324 + 576$ ⇒ $(a+b)^2 = 900$ ⇒ $(a+b)
Question :
Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
The Portsmouth Summer Art Festival is the only place in New Hampshire where we are fortunately see such diverse tales all in one place.
(1) we are able to fortunately see
(2) we are fortunate to see
(3) we are fortunate to seeing
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
It means that we are lucky or fortunate to have the opportunity to see diverse tales at the Portsmouth Summer Art Festival. It conveys the intended meaning clearly and concisely.
The other options are either grammatically incorrect or
Question : Which of the given sectors is largely driven by considerations of social welfare?
Option 1: Foreign
Option 2: Co-operative
Option 3: Public
Option 4: Private
Correct Answer: Public
Solution : The correct option is Public.
In the public sector, social welfare considerations play a crucial role in shaping policies and programmes that aim to address the needs of the population. This sector encompasses various areas such as healthcare, education, social services, and infrastructure development.
Question : Select the most appropriate synonym of the given word. Glorify
Option 1: Simplify
Option 2: Stupefy
Option 3: Praise
Option 4: Strengthen
Correct Answer: Praise
Solution : The most appropriate choice is the third option.
Glorify means to describe something with admiration, and praise also means to show admiration or warm approval of something or someone.
The meanings of the other options are as follows:
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The United Kingdom _______England, Wales, Scotland and Northern Ireland.
Option 1: comprises of
Option 2: comprises
Option 3: combines
Option 4: consists
Correct Answer: comprises
Solution : The correct answer is in option two.
The correct sentence is: "The United Kingdom comprises England, Wales, Scotland and Northern Ireland."
Comprises means to be made up of or to consist of. In this context, it means that the United Kingdom is made up of
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".
My friend's actual job (1) / involves a lot (2) / of administration. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : Explanation: The possessive form "friend's" is appropriately used to indicate that the job belongs to the friend.So, the correct sentence is:"My friend's actual job involves a lot of administration."
Question : The discount series, 10%, 20%, and 40% is equivalent to a single discount of:
Option 1: 50%
Option 2: 56.8%
Option 3: 60%
Option 4: 62.28%
Correct Answer: 56.8%
Solution : Let the cost price be Rs. 100. Net selling price = [100 − 40]% of [100 − 20]% of [100 − 10]% of Rs. 100 ⇒ Net selling price = 60% of 80% of 90% of Rs. 100 $\therefore$ Net selling price = $\frac{60}{100}×\frac{80}{100}×\frac{90}{100}×100=43.2$% $\therefore$
Question : Directions: If D = 4, DOG = 26, then what is the value of ANIMAL?
Option 1: 47
Option 2: 49
Option 3: 48
Option 4: 50
Correct Answer: 50
Solution : Given: D = 4, DOG = 26
Add the place value of the letters to get the required code – Like, the place value of the letter D; D→4 Thus, D is coded as 4. Place values of letters of DOG; D→4; O→15; G→7 DOG→4
Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: No cup is a plate. All cups are utensils. Some bottles are cups. Conclusions: I. Some utensils are not plates. II. Some bottles are not plates. III. No bottle is a plate.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions II and III follow
Option 3: All conclusions follow
Option 4: Only conclusions I and III follow
Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some utensils are not plates – From the Venn diagram, it is evident that no cups are plates. So, some
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Everyone hoped (of) good weather on the day of the wedding.
(1) for
(2) at
(3) about
Correct Answer: (1)
Solution : The sentence can be improved using the first option.
"For" is the correct choice, as "for" shows purpose whereas "of" shows possession, and it correctly conveys the idea of hoping for something, in this case, good weather.
Therefore, the correct sentence is: Everyone hoped for
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