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Question : If $xy(x+y)=m$, then the value of $(x^3+y^3+3m)$ is:

Option 1: $\frac{m^3}{xy}$

Option 2: $\frac{m^3}{(x+y)^3}$

Option 3: $\frac{m^3}{x^3y^3}$

Option 4: $mx^3y^3$

Team Careers360 19th Jan, 2024

Correct Answer: $\frac{m^3}{x^3y^3}$


Solution : Given: $xy(x+y)=m$
We know that the algebraic identity is $(x+y)^3=x^3+y^3+3xy(x+y)$.
$xy(x+y)=m$
⇒ $(x+y)=\frac{m}{xy}$
Take the cube on both sides of the above equation, we get,
$(x+y)^3=(\frac{m}{xy})^3$
⇒ $x^3+y^3+3xy(x+y)=\frac{m^3}{x^3y^3}$
Substitute the value of $xy(x+y)=m$ in above equation, we get,
$x^3+y^3+3m=\frac{m^3}{x^3y^3}$
Hence, the correct answer is $\frac{m^3}{x^3y^3}$.

14 Views

Question : Direction: A paper is folded and cut as shown below. How will it appear when unfolded?

 

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 9th Jan, 2024

Correct Answer:


Solution : When the paper is unfolded, the following figures will be obtained–

 

Hence, the second option is correct.

10 Views

Question : Case Study: ABC Retail Chain (Continued)

The next step ABC Retail Chain should take after evaluating alternative courses of action is:

Option 1: Selecting an alternative
  

Option 2: Developing premises
    

Option 3: Setting objectives and goals

 

Option 4: Allocating resources

Team Careers360 14th Jan, 2024

Correct Answer: Selecting an alternative
  


Solution : The correct answer is (a). Selecting an alternative

Once ABC Retail Chain has evaluated the various courses of action, the next logical step is to select the most appropriate alternative based on the evaluation criteria. This involves making a decision and choosing the

17 Views

Question : If $\sec A=\frac{17}{15}$, then what is the value of $\cot A$?

Option 1: $\frac{15}{21}$

Option 2: $\frac{15}{7}$

Option 3: $\frac{8}{15}$

Option 4: $\frac{15}{8}$

Team Careers360 24th Jan, 2024

Correct Answer: $\frac{15}{8}$


Solution : Given: $\sec A=\frac{17}{15}$
$⇒\cos A = \frac{15}{17}$
$⇒\sin A = \sqrt{1-\cos^2 A}= \sqrt{1-(\frac{15}{17})^2}$ = $\sqrt{\frac{64}{289}}$ = $\frac{8}{17}$
$\therefore \cot A = \frac{\cos A}{\sin A} = \frac{\frac{15}{17}}{\frac{8}{17}} = \frac{15}{8}$
Hence, the correct answer is $\frac{15}{8}$.

54 Views

ipu cet application form date and exam date

Shivanshu 24th Mar, 2024

Dear aspirant !!

Hope you are doing good !

The IPU CET online application form was released on February 1, 2024 and students can apply for IPU CET online till March 31, 2024 . The IPU CET application form 2024 will remain available to candidates seeking admission until May 31,

8 Views

Question : Directions: In a certain code language, NUMBER is written as 156897, and BARREN is written as 847791. How is RUBBER written in that code language?

Option 1: 759597

Option 2: 758897

Option 3: 795957

Option 4: 795579

Team Careers360 16th Jan, 2024

Correct Answer: 758897


Solution : Given:
NUMBER is written as 156897 and BARREN is written as 847791.

On combining the letters of both the given words, the codes for each letter are –
Like, NUMBER is written as 156897; N→1; U→5; M→6; B→8; E→9; R→7
And, BARREN is written as

127 Views

In my class 12th i had 6 subject and i failed in one subject but my overall result is pass. So i want to know that it is compulsory to give compartment exam or not bcoz i dont want to give compartment exam.

Tanya Gupta 15th Jan, 2024

Hello,

Since you are overall pass, you are not required to give compartment exam. CBSE provides you the option to give compartment to improve your score. If you are comfortable with having a failed subject in your marksheet, then you can skip it as you are overall pass.

However, it

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