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Correct Answer: 15127

Solution : Given:
$a+\frac{1}{a}=7$----------------(1)
Squaring both sides we get,
⇒ $a^2+\frac{1}{a^2}+2×a×\frac{1}{a}=49$
⇒ $a^2+\frac{1}{a^2}=49-2=47$ ------------------(2)
Now cubing equation 1 we get,
⇒ $a^3+\frac{1}{a^3}+3a×\frac{1}{a}(a+\frac{1}{a})=7^3$
⇒ $a^3+\frac{1}{a^3}+3×7=343$
⇒ $a^3+\frac{1}{a^3}=343-21=322$ ----------------(3)
Multiplying equations 2 and 3 we get
⇒ $a^5+a+\frac{1}{a}+\frac{1}{a^5}=47×322$
⇒ $a^5+\frac{1}{a^5}=47×322-(a+\frac{1}{a})$
⇒ $a^5+\frac{1}{a^5}=47×322-7$
$\therefore a^5+\frac{1}{a^5}=15127$
Hence, the correct answer is

Correct Answer: National Commission for Protection of Child Rights

Solution : The correct answer is the National Commission for the Protection of Child Rights.

The E-Baal Nidan portal has been redesigned by the National Commission for Protection of Child Rights (NCPCR) with additional features to make it easier for complainants,

Correct Answer: 56

Solution : Let's check the options –
First option: 16; 2⁴ = 16; 16 can be expressed as a power of 2. 
Second option: 56; 56 cannot be expressed as a power of 2.
Third option: 128; 2⁷ = 128; 128 can be expressed as

Correct Answer: 1024

Solution : The correct option is 1024.

One kilobit (kbit) is equivalent to 1024 bits in computer science and digital information. This is based on the binary system, which commonly measures data in powers of two. 

Correct Answer: Discribe

Solution : The correct choice is the first option.

"Discribe" is an incorrectly spelled word because it contains the wrong vowel "i" in the beginning in place of "e". The correct spelling of the word is describe, which means to give an account or representation in

Correct Answer: 1, 2, 9

Solution : In the three figures, there are various regions some of which are common for either two or all three of them. The shaded regions in the following figure are the ones that are part of only one geometric figure.

So, 1, 2, and

Correct Answer:

Solution : When the given folded paper is unfolded, it will look like –

Hence, the first option is correct.

Correct Answer: 98998

Solution : To be divisible by 8, the last three digits of a number must form a multiple of 8
(a) 98984: The last three digits are 984, a multiple of 8 (8 * 123). So, 98984 is divisible by 8.
(b) 98992: The last three digits

Correct Answer: 0

Solution : Dividend = Divisor × Quotient + Remainder
So, given number = 78 × 280 + 0
Since 78 is divisible by 13 and 280 is divisible by 5, 78 × 280 is divisible by 65.
So, the remainder when the given number is divided by

Correct Answer: (2)

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

"Much" should be replaced with "many", as "much" is used to refer to large quantities that are uncountable in nature, whereas "many" is used to refer to large quantities that are countable in nature. It