Correct Answer: 498.6

Solution : Total number of people in all states
= 474 + 500 +444 + 495 + 580 = 2493
Total number of states = 5
Average number of people in all states
= $\frac{\text{Total number of people in all states}}{\text{Total number of states}}$
= $\frac{2493}{5}$ =

Correct Answer: $- (a^2+b^2+c^2)$

Solution : Given: $\frac{x+a^2+2c^2}{b+c}+\frac{x+b^2+2a^2}{c+a}+\frac{x+c^2+2b^2}{a+b}=0$
We know the algebraic identity, $(x^2-y^2)=(x+y)(x-y)$.
Substitute the value of $x=-(a^2+b^2+c^2)$ in the given equation, we get,
$\frac{–a^2–b^2–c^2+a^2+2c^2}{b+c}+\frac{–a^2–b^2–c^2+b^2+2a^2}{c+a}+\frac{–a^2–b^2–c^2+c^2+2b^2}{a+b}=0$
$⇒\frac{c^2–b^2}{b+c}+\frac{a^2–c^2}{c+a}+\frac{b^2–a^2}{a+b}=0$
$⇒\frac{(c–b)(b+c)}{b+c}+\frac{(a–c)(c+a)}{c+a}+\frac{(b–a)(a+b)}{a+b}=0$
$⇒c-b+a-c+b-a=0$
$⇒0=0$
It satisfies the equation.
Hence, the correct answer is $-(a^2+b^2+c^2)$.

Correct Answer: Odisha

Solution : The correct option is Odisha.

A well-known Adivasi traditional dance from Odisha, India, is the Dalkhai. In the Sambalpur region of Odisha, the dance has its origins. Most often, it is presented during the Dussehra celebration. It is performed by the tribes, who use

Correct Answer:

Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure. So, the left side of the reflected image will appear as the right

Correct Answer: (3)

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

The reason is that the verb "invite" is always followed by the preposition "to" in order to indicate the event or gathering to which someone is invited.

Therefore, the correct sentence is: "My friend has

Correct Answer: OOOO

Solution : Given:
JKLM : IIII :: PQRS : ?

Subtract consecutive natural numbers from each letter of JKLM to get the required code –
J – 1 = I; K – 2 = I; L – 3 = I; M – 4 = I
Thus, JKLM

Correct Answer: 1

Solution : The correct choice to improve the sentence is the first option.

Explanation: This option is the correct improvement. It uses the present tense "do not believe," which is the appropriate way to express disbelief in the present. It maintains proper verb tense and clarity.

am

Correct Answer: PRIMER

Solution : Given:
PREDICAMENT

Now, let's compare all the option words with the word PREDICAMENT –
First option: CEMENT; All the letters of the word CEMENT are present in the word PREDICAMENT.
Second option: DEMENTIA; All the letters of the word DEMENTIA are present in the word

Correct Answer: having all authority

Solution : The correct choice is the first option.

All in all is an idiomatic expression that is used when one is considering all aspects of something together.

Thus, all things considered is the appropriate meaning of the given idiom.

Correct Answer: A lengthy and aggressive speech

Solution : The correct choice is the fourth option.

The noun harangue is a lengthy and aggressive speech.