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Question : If $\left(x-\frac{1}{x}\right)=10$, what is the value of $\left(x^4+\frac{1}{x^4}\right)?$

Option 1: 10404

Option 2: 10402

Option 3: 10406

Option 4: 10400

Team Careers360 23rd Jan, 2024

Correct Answer: 10402


Solution : $(x-\frac{1}{x})=10$
Squaring both sides,
$x^{2}+ \frac{1}{x^{2}} – 2 = 100$
⇒ $x^{2}+\frac{1}{x^{2}}=102$
Squaring both sides again,
$x^{4}+\frac{1}{x^{4}}+2=10404$
⇒ $x^{4}+\frac{1}{x^{4}}=10402$
Hence, the correct answer is 10402.

43 Views

Question : A hemispherical bowl is made of 1 cm thick steel. The inside radius of the bowl is 4 cm. The volume of the steel (in cm3) used in making the bowl is:

Option 1: $40\frac{2}{3}\pi$

Option 2: $27\frac{1}{3}\pi$

Option 3: $41\frac{1}{3}\pi$

Option 4: $35\frac{1}{3}\pi$

Team Careers360 23rd Jan, 2024

Correct Answer: $40\frac{2}{3}\pi$


Solution : Given: Inner radius $(r)$ = 4 cm
Outer radius $(R)$ = 4 + 1 = 5 cm
According to the question,
The volume of steel used
= $\frac{2}{3}×\pi (R^3-r^3)$
= $\frac{2}{3}×\pi (5^3-4^3)$
= $\frac{2}{3}×\pi (125-64)$
= $\frac{2}{3}×\pi ×61$
= $\frac{122}{3}×\pi$
= $40\frac{2}{3}\pi\ \text{cm}^3$
Hence, the

33 Views

Question : Directions: Three different positions of the same dice are shown. Select the letter that will be on the face opposite to the one having A.

Option 1: B

Option 2: F

Option 3: N

Option 4: Z

Team Careers360 24th Jan, 2024

Correct Answer: Z


Solution : Taking dice positions 2 and 3 with Z as the common face –

Moving clockwise from the common face with Z –

So, the opposite faces of the dice are –


Therefore, the opposite face of the A is Z. Hence, the fourth option is

13 Views

Question : Directions: Which answer figure will complete the pattern in the question figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : According to the question figure –
In row 1: The number of vertical lines is 1 and the number of horizontal lines is increased by 1.
In row 2: The number of vertical lines is 2 and the number of horizontal lines is increased by 1.

9 Views

Question : Directions: In the following question, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
XYZ, ABC, UVW, DEF, RST, GHI, ?

Option 1: UVW

Option 2: JKL

Option 3: OPQ

Option 4: NOP

Team Careers360 20th Jan, 2024

Correct Answer: OPQ


Solution : Given:
XYZ, ABC, UVW, DEF, RST, GHI, ?

In the above-given series, subtract 3 from the place value of each letter of the terms of odd places and add 3 to the place value of each letter of the given term at even places.
Odd

11 Views

Question : "Unfinished: A Memoir" is the autobiography of ___.

Option 1: Priyanka Chopra Jonas

Option 2: Deepika Padukone

Option 3: Kareena Kapoor

Option 4: Alia Bhatt

Team Careers360 21st Jan, 2024

Correct Answer: Priyanka Chopra Jonas


Solution : The correct answer is Priyanka Chopra Jonas.

"Unfinished: A Memoir" is the autobiography of Priyanka Chopra Jonas. Priyanka Chopra is a Bollywood actress who is married to an American singer, actor Nick Jonas. Unfinished: A Memoir offers insights into Priyanka Chopra Jonas's

23 Views

Question : " India Wins Freedom" is the autobiography of 

Option 1: Abul Kalam Azad 

Option 2: Muhammad Ali 

Option 3: Zakir Hussain 

Option 4: Syed Ahmad Khan 

Team Careers360 24th Jan, 2024

Correct Answer: Abul Kalam Azad 


Solution : Correct Answer is Abul Kalam Azad 

Maulana Azad's India Wins Freedom is an account of the partition of India from the point of view of the author. It contains the author's personal experiences during the independence of India, as well as his ideas

19 Views

Question : Pradhan Mantri Awas Yojana - Urban was launched by which Union Ministry?

Option 1: Ministry of Finance

Option 2: Ministry of Housing and Urban Affairs

Option 3: Ministry of Human Resource Development

Option 4: Ministry of Rural Development

Team Careers360 23rd Jan, 2024

Correct Answer: Ministry of Housing and Urban Affairs


Solution : The correct option is the Ministry of Housing and Urban Affairs.

Pradhan Mantri Awas Yojana - Urban, launched by the Ministry of Housing and Urban Affairs, aims to provide affordable housing for all by 2022. It addresses urban housing shortages,

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