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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 : Parts of the following sentence have been given as options. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any errors, mark 'No error' as your answer.
He has been presented off honorary awards.
Option 1: No error
Option 2: presented off
Option 3: He has been
Option 4: honorable awards
Correct Answer: presented off
Solution : The error is in the second option.
Explanation: The verb presented is generally followed by a preposition with when indicating the recipient of an award or honour. The phrase presented off is grammatically incorrect in this context. Using the correct preposition is crucial
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 : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
My granny says that / it is quite all right / to get married young, / though I do not absolute agree with her a bit on this.
Option 1: My granny says that
Option 2: though I do not absolute agree with her a bit on this.
Option 3: it is quite all right
Option 4: to get married young
Correct Answer: though I do not absolute agree with her a bit on this.
Solution : The error lies in the second option.
Explanation:
The error is in the phrase do not absolute agree. The correct adverb to use here is absolutely. Absolutely in this context emphasises the
Question : Which among the following is not an example of the 4th Generation of Computers?
Option 1: Apple II
Option 2: TRS-80
Option 3: ICL 2900
Option 4: STAR 1000
Correct Answer: ICL 2900
Solution : The correct option is ICL 2900.
The ICL 2900 is an example of a 3rd generation computer, not a 4th generation computer. The ICL 2900 is a series of mainframe computers developed by International Computers Limited (ICL) during the 1970s.
The 4th generation 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 = $\frac{60}{100}×\frac{80}{100}×\frac{90}{100}×100=43.2$% $\therefore$
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