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Graduate Aptitude Test in Engineering

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Question : Parts of the following sentence have been given as options. Select the option that contains an error.
The committee was divided on the issue, and neither side were willing to compromise on the compensation amount to be given.

Option 1: and neither side were willing to

Option 2: amount to be given

Option 3: compromise on the compensation

Option 4: The committee was divided on the issue

Team Careers360 19th Jan, 2024

Correct Answer: and neither side were willing to


Solution : The correct choice is the first option.

Explanation:

The subject in this sentence is "neither side", which refers to a singular subject. Therefore, it should be followed by a singular verb.

So, the correct sentence would be: "The committee was

15 Views

I am civil engineering graduate , i want to appear for Gate cse what should be the correct roadmap for me ?

Tanya Gupta 22nd Jan, 2024

Hello,


As you're interested in appearing for GATE CSE even though you're a civil engineering graduate. I would suggest you to st art with the basics, since you're transitioning from civil engineering to computer science, it's important to build a strong foundation with the concepts of computer science like programming,

37 Views

Question : It is  necessary for products which are not produced according to predetermine specifications such as in the case of agriculture products. Which function of marketing is highlighted in the given statement?

Option 1: Packaging

Option 2: Labelling

Option 3: Standardization

Option 4: Grading
 

Team Careers360 19th Jan, 2024

Correct Answer: Grading
 


Solution : Grading is the process of classification of products into different groups on the basis of some of its important characteristics such as quality,size,etc. Grading is particularly necessary for products which are not produced according to predetermined specifications.

Hence, option D is correct.

22 Views

Question : A chord of length 48 cm is at a distance of 7 cm from the centre of the circle. What is the length of the chord of the same circle which is at a distance of 15 cm from the centre of the circle?

Option 1: 40 cm

Option 2: 45 cm

Option 3: 35 cm

Option 4: 42 cm

Team Careers360 22nd Jan, 2024

Correct Answer: 40 cm


Solution :
The perpendicular from the centre of a circle to a chord bisects the chord.
By Pythagoras theorem:
Hypotenuse2 = Base2 + Perpendicular2
MP = PN = $\frac{\text{MN}}{2}$ = $\frac{48}{2}$ = 24 cm
Distance from the centre as $d_{1}$ = 15 cm

6 Views

Question : If the radius of a right circular cylinder open at both ends is decreased by 25% and the height of the cylinder is increased by 25%, the curved surface area of the cylinder thus formed:

Option 1: remains unaltered

Option 2: is increased by $25\%$

Option 3: is increased by $6.25\%$

Option 4: is decreased by $6.25\%$

Team Careers360 19th Jan, 2024

Correct Answer: is decreased by $6.25\%$


Solution : The curved surface area of a right circular cylinder before the change, where $r$ is the radius and $h$ is the height $ = 2\pi rh$
The radius is decreased by $25\%$,
$r' = 0.75r$
The height is increased by $25\%$,
$h'

12 Views

Question : The oath of office is administered to the Governor by the:

Option 1: Chief Justice of India

Option 2: Speaker of Legislative Assembly

Option 3: Chairman of Legislative Council

Option 4: Chief Justice of the High Court

Team Careers360 21st Jan, 2024

Correct Answer: Chief Justice of the High Court


Solution : The correct answer is Chief Justice of the High Court.

A state's governor is chosen by the president and serves at his pleasure for five years. The governor's oath is administered by the Chief Justice of the relevant State

13 Views

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=

10 Views

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

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