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Graduate Aptitude Test in Engineering

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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

Team Careers360 12th Jan, 2024

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=

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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: $\pm\frac{\sqrt{5}}{2}$

Team Careers360 24th Jan, 2024

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 $\pm\frac{2}{\sqrt{5}}$.

13 Views

what is the Syllabus for Gate 2024( CSE)??

Sajal Trivedi 10th Jan, 2024

Hello aspirant,

The 30 topic areas on the GATE 2024 syllabus have been made available by IISc Bangalore. Candidates can visit the official website, gate2024.iisc.ac.in, to download the GATE 2024 admission card. The CSE, Civil, Electrical, Mechanical, and other paper GATE test syllabus 2024 pdf is available here. Key subjects

78 Views

Can Btech Biotechnology students apply through GATE (BT/XL) score in BARC.

Tanya Gupta 23rd Jan, 2024

Hello,

Yes, B.Tech Biotechnology students can apply through GATE (BT/XL) scores for BARC. GATE scores are accepted for admission to the BARC Training School programs. It's a great opportunity for B.Tech Biotechnology students to pursue research and training in the field of nuclear science and technology.

You will have to

16 Views

best books to start prepration of gate

Tanya Gupta 10th Jan, 2024

Hello,


Below are some books from which you can start your GATE preparation:


•How to Prepare for Quantitative Aptitude by Arun Sharma

•Verbal and Non-Verbal Reasoning by R.S. Aggarwal

•Higher Engineering Mathematics by B.S. Grewal

•An Insight into Chemical Engineering by M. Subbu

•Heat Transfer by JP Holman

•Geophysics by

8 Views

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

Team Careers360 11th Jan, 2024

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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