Correct Answer: 536

Solution : Given: $\frac{(x^{2} - 1)}{x} = 8$
⇒ $x - \frac{1}{x} = 8$
Cubing on both sides,
⇒ $x^{3}- \frac{1}{x^{3}} - 3 \times x \times \frac{1}{x} \times (x - \frac{1}{x})= (8)^3$ [Since, $(a - b)^{3} = a^{3} - b^{3} - 3ab (a - b)$]
⇒ $x^{3}-

Correct Answer: (3)

Solution : The correct choice is the third option.

"Since" should be replaced with "for" to convey the intended meaning that Vipul had been sick for some time. The preposition "for" is the correct preposition to denote the period of time. "Since" is used when a particular

Correct Answer: Rs. 3000

Solution : Minimum cost price = 150 × 15 = Rs. 2250
Maximum selling price = 350 × 15 = Rs. 5250
Maximum profit = 5250 – 2250 = Rs. 3000
Hence, the correct answer is Rs. 3000.

Correct Answer: 4

Solution : Given:
?, 9, 19, 39, 79

The pattern followed here is –
79 – 39 = 40→40 ÷ 2 = 20
39 – 19 = 20→20 ÷ 2 = 10
19 – 9 = 10→10 ÷ 2 = 5
Now, subtract 5 from 9 to

Correct Answer: Ctrl + N

Solution : The correct option is Ctrl + N.

In MS Word 365, the shortcut key to open a new file is Ctrl + N. Pressing this key combination creates a new, blank document. It is a quick and efficient way for users to

Correct Answer: had to shoot

Solution : The correct choice is the fourth option.

"Had to shoot" is correct, as the sentence is talking about an event that already occurred in the past, and hence the simple past tense should be used. The sentence conveys the meaning that the actors

Correct Answer: The author wrote the book over a period of two years.

Solution : The correct choice is the first option.

Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert active to passive, we make the subject perform the action, and rephrase

Correct Answer: $\sqrt{2}:1$

Solution : Since the bases of the hemisphere and cone are equal, their radii are also equal.
⇒ radius of hemisphere = radius of cone = $r$
Height of hemisphere = radius of hemisphere = $r$
Also, height of cone = height of hemisphere = $r$
The

Correct Answer: 46

Solution : Given:
BOY is coded as 42.

Add the position values of the letters of BOY to obtain the required code –
Position values of the letters of BOY; B→2; O→15; Y→25
BOY→2 + 15 + 25 = 42
Thus, BOY is coded as 42.
Similarly,

Correct Answer: Number of machines used in a factory.

Solution : The correct answer is the Number of machines used in a factory.

The "number of machines used in a factory" is not a flow concept. Flow concepts typically involve the movement or transfer of something over time, such