It's a Question of your Career!

Correct Answer: 9

Solution : Sum of all interior angles = $14×90^{\circ}$ = $1260^{\circ}$
Let the number of sides of the polygon be $n$.
⇒ $1260^{\circ}$ = $(n-2)×180^{\circ}$
⇒ $(n-2)$ = $\frac{1260}{180}$
⇒ $(n-2)$ = $7$
⇒ $n$ = $2+7$ = $9$
Hence, the correct answer is 9.

Correct Answer: $\sqrt{2} \cos \theta$

Solution : According to the question,
⇒  $\cos \theta-\sin \theta=\sqrt{2} \sin \theta$
⇒ $(\cos\theta + \sin\theta)^{2} = 2 \sin^{2}\theta$
⇒ $\cos^{2}\theta + \sin^{2}\theta + 2\sin\theta\cos~\theta = 2\sin^{2}\theta$
⇒ $\sin^{2}\theta - \cos^{2}\theta - 2\sin~\theta~cos\theta = 0$
⇒ $\sin^{2}\theta + \cos^{2}\theta - 2\sin\theta\cos\theta = 2 \cos^{2}\theta$
⇒

Correct Answer: 4

Solution :

LCM of 2, 3, 4, 5, 6 and 7 is 420.
The number should be between 2000 and 2500.
So, the number is = 420 × 5 = 2100
The remainder will be 1 in each case so the number = 2100 + 1 =

Correct Answer: Puri

Solution : The correct option is Puri.

Puri is not traditionally associated with the Kumbh Mela. The Kumbh Mela is a major Hindu festival and pilgrimage that rotates among four locations: Prayagraj (formerly Allahabad), Haridwar, Nashik and Ujjain. Puri,  in the eastern Indian state of Odisha,

Correct Answer: Rohit Dahiya

Solution : The correct answer is Rohit Dahiya.

Rohit Dahiya won bronze medals on the final day of the World Championship 2022 in Sofia, Bulgaria. He defeated his opponent, Ukraine's Ruslan Abdiiev, in the 82 kg. India ended the World U20 Wrestling Championships 2022 with

Correct Answer: Kerala

Solution : The correct option is Kerala.

The Indian Navy Sailing Championship 2022, celebrating both Azadi ka Amrit Mahotsav, and Khelo India, was held at the picturesque Indian Naval Academy (INA) in Ezhimala, Kerala, from October 18th to 21st, 2022. This premier sailing event saw nearly 100

Correct Answer: 4 : 21

Solution :
AD : DB = 2 : 3
Let AD =$2x$
DB = $3x$
Now, the ratio of the area of the similar triangle is equal to the square of the ratio of their corresponding sides.
Hence, in similar $\triangle ABC$ and $\triangle ADE$

Correct Answer: 48

Solution : Given: 25 × 7 ÷ 175 – 196 ÷ 14 × 2 + 625 ÷ 25 × 3
= $25 × \frac{7}{ 175} - \frac{196}{14} × 2 + \frac{625}{ 25} ×3$
= 1 – 14 × 2 + 25 × 3
= 1 – 28

Correct Answer: Article 21

Solution : The correct answer is Article 21.

The KA Najeeb vs. Union of India case is primarily concerned with a breach of Article 21 of the Indian Constitution. Article 21 of the Indian Constitution provides the right to life and personal liberty, and the

Correct Answer: 2

Solution : Given: $(x-2)(x-p) = x^2-ax+6$
⇒ $x^2-px-2x+2p=x^2-ax+6$
⇒ $x^2-(p+2)x+2p=x^2-ax+6$
By comparing both sides of the equation,
$p+2=a$
⇒ $a-p=2$
Hence, the correct answer is 2.