It's a Question of your Career!

Correct Answer: $4a^2$

Solution : Given: $\frac{(a^2+b^2-c^2)^2-(a^2-b^2+c^2)^2}{b^2-c^2}$
$= \frac{(a^2+b^2-c^2+a^2-b^2+c^2)(a^2+b^2-c^2-a^2+b^2-c^2)}{b^2-c^2}$
$= \frac{(2a^2)(2b^2-2c^2)}{b^2-c^2}$
$= \frac{4a^2(b^2-c^2)}{b^2-c^2}$
$= 4a^2$
Hence, the correct answer is $4a^2$.

Correct Answer: Lance Naik Manju

Solution : The correct answer is Lance Naik Manju.

Lance Naik Manju, a member of the Indian Army's Army Service Corps stationed in Bengaluru, made history in 2019 as the first female soldier-skydiver to successfully parachute from a height of 10,000 feet. This remarkable achievement

Correct Answer: 700 metres

Solution : A 1000-metre-long train is running at the speed of 72 km/hr.
In 85 seconds it crosses a bridge.
In 85 seconds the train travels = $\frac{72000}{3600}×85=1700$ metres
When the train crosses a bridge, the distance covered by the train is the sum of the

Correct Answer:

Solution : In the given figure, the following pattern is being followed –
1. In each alternative box that is in box 2 and box 4 a new letter or number is introduced in the centre of the box.
2. The element U changed its position from right

Correct Answer: In such manner as may be specified in rules made by the President

Solution : The correct answer is In such manner as may be specified in rules made by the President.

Orders and other instruments crafted and executed in the name of the President of India

Correct Answer: She is brave

Solution : The correct choice is the first option.

Brave should be replaced with braver, as it is the correct comparative form to be used because it helps compare the girl with other girls who were in the office and convey that she

Correct Answer: abnormally heavy downpours of rain, associated with thunderstorms

Solution : The correct answer is abnormally heavy downpours of rain, associated with thunderstorms.

Cloudburst is an extreme weather phenomenon in which abnormally high rainfall is witnessed over a short period. It is often associated with hail and thunderstorms. Usually,

Correct Answer: Ajay's wife's age and Ajay's age are the same

Solution : Given:
Let Ajay's age be x years.
Rahul's age = x + 5 years
Rahul's wife's age = x + 5 – 6 = x – 1 years
Ajay's wife's age = x – 1 + 1

Correct Answer: Warren Hastings

Solution : The correct answer is Warren Hastings.

Warren Hastings was the first governor-general of Bengal from 1773 to 1785. He became the governor-general of Bengal by the Regulating Act of 1773, which brought the presidencies of Madras and Bombay under Bengal’s control.

Correct Answer: 0

Solution : $\sec A=\frac{5}{4}$
$\cos A = \frac{1}{\sec A} = \frac{4}{5}$
$\sin A = \sqrt{1-\cos^2A}=\sqrt{1-(\frac{4}{5})^2}=\frac{3}{5}$
$\tan A = \frac{\sin A}{\cos A}=\frac{3}{4}$
$\therefore$ $\frac{\tan A}{1+\tan ^2 A}-\frac{\sin A}{\sec A}$
$= \frac{\frac{3}{4}}{1+(\frac{3}{4})^2}-\frac{\frac{3}{5}}{\frac{5}{4}}$
$= \frac{3\times 4}{16+9}-\frac{3\times4}{5\times 5}$
$=\frac{12}{25}-\frac{12}{25}$
$=0$
Hence, the correct answer is 0.