It's a Question of your Career!

Correct Answer: $\frac{13}{12}$

Solution : Given: $x-\frac{1}{x}=5$
Cubing both sides, we get
$(x-\frac{1}{x})^3=5^3$
⇒ $x^3-\frac{1}{x^3}-3(x\times\frac{1}{x})(x-\frac{1}{x})=125$
⇒ $x^3-\frac{1}{x^3}-3\times5=125$
⇒ $x^3-\frac{1}{x^3}=140$
Thus,$\frac{x^6+3 x^3-1}{x^6-8 x^3-1}$
Taking $x^3$ as common, we get:
= $\frac{x^3+3-\frac{1}{x^3}}{x^3-8-\frac{1}{ x^3}}$
= $\frac{x^3-\frac{1}{x^3}+3}{x^3-\frac{1}{ x^3}-8}$
Putting the values, we get:
= $\frac{140+3}{140-8}$
= $\frac{143}{132}$
= $\frac{13}{12}$
Hence, the correct answer is

Correct Answer: 6

Solution : According to the dice rule if two or three positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.

So, the opposite

Correct Answer: –, +, ×, ÷, ×, ×, =

Solution : Given:
[{(44 # 38) # (2 # 5)} # (4 # 2)] # 5 # 10

Replace # with the mathematical signs and solve the equations one by one.
Let's check the given options –
First option: ×, ÷,

Correct Answer: Rs. 2,100

Solution : Selling price by A = Rs. 4,800
Loss = 20% of Cost price
Selling price = Cost price – loss
Rs. 4,800 = 80% of Cost price
⇒ Cost price by A = $\frac{4800}{0.8}$ = Rs. 6,000
Profit = 15% of Cost price by

Correct Answer: Sri Lanka

Solution : The correct answer is Sri Lanka.

The Vedda people are recognized as the original inhabitants of Sri Lanka. They have a rich history and culture that has been rooted in the island nation for thousands of years. The Vedda community has primarily resided

Correct Answer: IR

Solution : Given:
BY : GT :: DW : ?

Like, BY→B and Y are the opposite letters of each other.
GT→G and T are the opposite letters of each other.
Similarly, DW→D and W are the opposite letters of each other.
Let's check the options –

Correct Answer: Sodium carbonate

Solution : The correct option is Sodium carbonate.

When sodium bicarbonate (baking soda) is heated to high temperatures, it undergoes a chemical reaction and decomposes into three separate compounds: sodium carbonate (soda ash), water, and, carbon dioxide gas. This reaction's chemical equation is 2NaHCO₃

Correct Answer: 3:24 p.m.

Solution : Speed of thief = 48 km/hr
Distance travelled by him in 30 mins = $48\times \frac{30}{60}=24$ km
Owner speed = 58 km/hr
Their relative speed = 58 – 48 = 10 km/hr
Time = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{24}{10}=2.4\ \text{hours}$ = 2 hours 24 minutes
The

Correct Answer: NQEM

Solution : Given:
REAS : SGDW :: ABRO : BDUS :: MOBI : ?

In the above-given pairs, add consecutive numbers starting from 1 in the positional values of the letters to obtain the next letter cluster.
Like, REAS : SGDW→R + 1 = S; E +

Correct Answer: late

Solution : The correct choice is the second option.

Explanation: In this context, the sentence is referring to the time when the figure of Arthur first appeared in Welsh poetry. The word "late" is used to convey that this appearance happened in the later part of