It's a Question of your Career!

Correct Answer: 1966

Solution : The correct option is 1966.

The High Court of Delhi was established in 1966. Initially, the High Court of Delhi had jurisdiction over the union territory of Himachal Pradesh. The High Court of Delhi was established with four judges. It is the only union

Correct Answer: Bihar

Solution : The correct answer is Bihar

As of the 2011 Census, India's overall literacy rate was 74.04%. Breaking it down, the male literacy rate is higher at 82.14%, while the female literacy rate is comparatively lower at 65.46%. Notably, Bihar reports the country's lowest literacy rate

Correct Answer: 1504

Solution : Given: $2x+3y=16$ and $xy=9$
We know that $(a+b)^{3}=a^{3}+b^{3}+3ab(a+b)$
⇒ $(2x+3y)^{3}=8x^{3}+27y^{3}+18xy(2x+3y)$
Putting the given values, we have,
⇒ $(16)^{3}=8x^{3}+27y^{3}+18×9×(16)$
⇒ $4096=8x^{3}+27y^{3}+2592$
⇒ $8x^{3}+27y^{3}=4096–2592$
⇒ $8x^{3}+27y^{3}=1504$
Hence, the correct answer is 1504.

Correct Answer: (9, 81, 729)

Solution : Given:
(7, 49, 343); (8, 64, 512)

The second number is the square of the first number and the third number is the cube of the first number –
(7, 49, 343)→(7)² = 49; (7)³ = 343
(8, 64, 512)→(8)² 

Correct Answer: Establish

Solution : The correct choice is the first option.

Abrogate means to officially revoke or repeal a law, agreement, or formal decision. Establish means to set up, create, or bring into existence something that typically endures or continues over time, which makes it the opposite

Correct Answer: $89 \frac{83}{93} \mathrm{~km} / \mathrm{hr}$

Solution : The speed of a car going from A to B is 110 km/hr while coming back, its speed is 76 km/hr.
Let $a=110$ and $b=76$
So, the average speed in this journey $=\frac{2ab}{a+b}=\frac{2×110×76}{110+76}=\frac{8360}{93}=89 \frac{83}{93}\mathrm{\ km/hr}$
Hence, the correct answer is $89\frac{83}{93}\mathrm{\

Correct Answer: Aunt

Solution : According to the given information, the family tree is shown below –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, according to the above family tree, Chitra is the aunt of Sheetal. Hence, the third option

Correct Answer: (2)

Solution : The error lies in the second part of the sentence.

The phrase "very kind enough" is redundant, as "kind enough" already implies a high level of kindness.

Therefore, the correct sentence is: He was kind enough to invite me.

Correct Answer: $24 \sqrt{2}$

Solution : Given: $(x+\frac{1}{x})=6$, and $x>1$.
We know,
$(x–\frac{1}{x})^2=(x+\frac{1}{x})^2–4×x×\frac{1}{x}$
⇒ $(x–\frac{1}{x})^2=(6)^2–4$
⇒ $(x–\frac{1}{x})=\sqrt{32}=4\sqrt2$
⇒ $x^2–\frac{1}{x^2}=(x+\frac{1}{x})(x–\frac{1}{x})$
⇒ $x^2–\frac{1}{x^2}=(6)(4\sqrt2)=24\sqrt2$
Hence, the correct answer is $24\sqrt2$.

Correct Answer:

Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the