Graduate Aptitude Test in Engineering
Question : Total revenue from operations Rs. 9,00,000, Cash revenue from operations Rs. 3,00,000, Debtors Rs. 1,00,000, B/R Rs. 20,000. Trade Receivables Turnover Ratio will be :
Option 1: 5:1
Option 2: 10:1
Option 3: 7.5:1
Option 4: 9:1
Correct Answer: 10:1
Solution : The formula for trade receivables turnover ratio is equal to
Credit revenue from operations / average trade receivable
Credit revenue from operations= Total revenue for operations- cash revenue from operations.= 9,00,000-3,00,000= 6,00,000
Average trade receivables= 1,00,000+20,000/2 = 1,20,000/2= 60,000
trade receivables turnover ratio = 6,00,000/60,000=
Question : If $x-\frac{1}{x}=1$, then what is the value of $\left (\frac{1}{x-1}-\frac{1}{x+1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1} \right)\;$?
Option 1: $\pm \sqrt{5}$
Option 2: $\frac{2}{5}$
Option 3: $\pm\frac{2}{\sqrt{5}}$
Option 4: $\pm\frac{\sqrt{5}}{2}$
Correct Answer: $\pm\frac{2}{\sqrt{5}}$
Solution : Given: $x-\frac{1}{x}=1$ $⇒x^{2}-1=x$ $⇒x^{2}+1=x+2$ $\left (\frac{1}{x-1}-\frac{1}{x+1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1} \right)$ $=(\frac{2}{x^{2}-1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1})$ $=(\frac{1}{x^{2}-1}+\frac{1}{x^{2}+1})$ $=(\frac{2x^{2}}{(x^{2}-1)(x^{2}+1)})$ Using $x^{2}-1=x$ and $x^{2}+1=x+2$, we get, $=(\frac{2x^{2}}{(x)(x+2)})$ $=\frac{2x}{x+2}$ Solving $x^{2}-x-1=0$, we get $x=\frac{1\pm\sqrt{5}}{2}$ So, $x+2=\frac{5\pm\sqrt{5}}{2}$ When $x=\frac{1+\sqrt{5}}{2}$, $\frac{2x}{x+2}=\frac{2}{\sqrt{5}}$ When $x=\frac{1-\sqrt{5}}{2}$, $\frac{2x}{x+2}=-\frac{2}{\sqrt{5}}$ Hence, the correct answer is $\pm\frac{2}{\sqrt{5}}$.
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.
It is said that everyone lives (1) _________selling something. What you can (2) ____________from this statement is that teachers live by selling knowledge, philosophers live by selling wisdom and priests earn their living by selling spiritual comfort. Though it may be possible to measure the value of material goods in terms of money, it is extremely difficult to (3) __________the true value of the services which people perform for us. There are times when we would (4) ___________give everything we possess to save our lives, yet we might grudge paying a surgeon a high fee for offering us precisely the same service. The (5) ____________of society are such that skills have to be paid for in the same way that goods are paid for at a shop.
Question: Select the most appropriate option to fill in the blank number 2.
Option 1: separate
Option 2: derive
Option 3: revive
Option 4: choose
Correct Answer: derive
Solution : The second option is correct.
The sentence would read: "What you can derive from this statement is that teachers live by selling knowledge..."
In this context, derive means to obtain or receive, suggesting that one can obtain something (knowledge, in this case) from the given
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•How to Prepare for Quantitative Aptitude by Arun Sharma
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Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase. To go a long way
Option 1: To become successful in life
Option 2: To join a foreign company
Option 3: To avoid short cuts
Option 4: To go on a long drive
Correct Answer: To become successful in life
Solution : The correct choice is the first option.
The idiom to go a long way figuratively means making significant progress or achieving success in one's endeavours over time. It implies moving forward, making advancements, and accomplishing goals, especially in the context of
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