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14 Views

Question : If $pq(p+q)=1$, then the value of $\frac{1}{p^{3}q^{3}}-p^{3}-q^{3}$ is equal to:

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 23rd Jan, 2024

Correct Answer: 3


Solution : Given: $pq(p+q)=1$
⇒ $(p+q)=\frac{1}{pq}$
Cubing both sides,
⇒ $p^3+q^3+3pq(p+q)=\frac{1}{p^3q^3}$
Thus,
$\frac{1}{p^3q^3}–p^3–q^3= 3pq(p+q)$
Putting the value of $(p+q)=\frac{1}{pq}$
$= \frac{3}{pq}(pq)$
$=3$
$\therefore\frac{1}{p^3q^3}–p^3–q^3=3$
Hence, the correct answer is 3.

17 Views

Question : Select the most appropriate meaning of the underlined idiom in the given sentence.
Being an ardent professional, the lawyer always kept his clients at an arm’s length.

Option 1: Away from each other.

Option 2: At a distance.

Option 3: Under wraps.

Option 4: Alert and prepared.

Team Careers360 16th Jan, 2024

Correct Answer: At a distance.


Solution : The correct choice is the second option.

In the context of the sentence "Being an ardent professional, the lawyer always kept his clients at an arm’s length which means to maintain a professional distance or detachment from some person.

The meanings of

2 Views

Question : Who will be India’s Chief G20 Coordinator from May 2022?

Option 1: Harsh Vardhan Shringla

Option 2: Rajiv Gauba

Option 3: Shashi Tharoor

Option 4: Ajit Doval

Team Careers360 19th Jan, 2024

Correct Answer: Harsh Vardhan Shringla


Solution : The correct answer is Harsh Vardhan Shringla.

India's chief coordinator for the G20 Presidency in 2023 was Harsh Vardhan Shringla, born in 1962. In the past, he has held positions as India's High Commissioner to Bangladesh, Ambassador to Thailand and Foreign Secretary

14 Views

Question : Directions: In the following question, select the missing number from the given responses.

Option 1: 22

Option 2: 24

Option 3: 25

Option 4: 28

Team Careers360 13th Jan, 2024

Correct Answer: 24


Solution : For each figure, multiply and add the numbers in the top right and bottom left corners to get the top left and bottom right numbers respectively.
Figure one: 4 × 7 = 28; 4 + 7 = 11
Figure two: 5 × 5 = 25;

15 Views

Question : Rajaraja I and Rajendra I belonged to the ____________ dynasty.

Option 1: Chola

Option 2: Pallava

Option 3: Pandya

Option 4: Chalukya

Team Careers360 19th Jan, 2024

Correct Answer: Chola


Solution : The correct answer is Chola.

Rajendra Chola I, also known as Gangaikonda Chola or the Bringer of the Ganges, was a formidable Chola Emperor who reigned from 1014 to 1044 CE. In 1014 CE, he ascended to the throne, succeeding his father, Rajaraja I.

17 Views

Question : If $a^2+b^2+1=2 a$, then the value of $a^4+b^7$ is:

Option 1: 1

Option 2: 0

Option 3: 2

Option 4: 4

Team Careers360 21st Jan, 2024

Correct Answer: 1


Solution : Given: $a^2+b^2+1=2 a$
⇒ $a^2+b^2+1-2a=0$
⇒ $a^2+1-2a+b^2=0$
⇒ $(a-1)^2+b^2=0$
If the sum of the squares of two numbers is zero then both the numbers are zero.
So, $(a-1)=0$ and $b=0$
$\therefore a=1,b=0$
Putting the values, we get
$a^4+b^7=1+0=1$
Hence, the correct answer is 1.

19 Views

Question : Rate of interest is determined by 

Option 1: The rate of return on the capital invested 

Option 2: Central Government 

Option 3: Liquidity preference 

Option 4: Commercial Banks 

Team Careers360 11th Jan, 2024

Correct Answer: Liquidity preference 


Solution : Correct Answer is Liquidity preference 

In a free market where supply and demand are in flux, interest rates are set. The amount of money available depends on how willing consumers, businesses, and governments are to save. Some of these interest rates in India are

27 Views

Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.
TRA : FNW :: MNG : LJP :: FOK : ?

Option 1: PLJ

Option 2: PKJ

Option 3: PLI

Option 4: PKI

Team Careers360 15th Jan, 2024

Correct Answer: PKI


Solution : Given:
TRA : FNW :: MNG : LJP :: FOK : ?

Follow the pattern to obtain the required term –

Thus, TRA is coded as FNW.
And, MNG : LJP –

Thus, MNG is coded as LJP.
Similarly, follow the same pattern for FOK

5 Views

Question : Select the most appropriate option to fill in the blank.

And to think after all these years you still have the __________to say such things to me!

Option 1: tangential

Option 2: brightness

Option 3: arrogance

Option 4: fitness

Team Careers360 11th Jan, 2024

Correct Answer: arrogance


Solution : The correct choice is the third option.

Explanation: The sentence structure suggests that the missing word should be a noun that complements the verb "have". The word arrogance fits this context, as it refers to an attitude of superiority or self-importance, often manifested in

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