Explanation

0 (since the square of a prime number is not prime)

A prime number is a positive integer greater than 1 that has no positive divisors other than 1 and itself.

The square of a prime number is not prime because it has at least three divisors: 1, the prime number, and the square itself.

Explanation

When two dice are rolled, there are 36 possible outcomes

The outcomes that result in a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1), which are 6 in total.

So, the probability of getting a sum of 7 is 6/36 = 1/6.

Explanation

i^25 = i^(24+1) = i^1 = i (since i^4 = 1)

(1/i)^32 = (i^-1)^32 = i^(-32) = i^0 = 1 (since i^4 = 1)

So, (i^25 - (1/i)^32)^2

= (i - 1)^2

= i^2 - 2i + 1

= -1 - 2i + 1

= -2i

Explanation

 The ASCII 7-bit code is a character-encoding scheme that uses 7 bits to represent characters.

- The number of bits in ASCII 7-bit code is 7.

Explanation

R = xS⁴  

When S = 5, R = 6  

So,  

6 = x × (5)⁴ = x × 625  

⇒ x = 6 / 625

Now find R when S = 8:  

R = (6 / 625) × (8)⁴ = (6 / 625) × 4096  

= 24576 / 625 = 39.3216

Explanation

In a Geometric Progression, the nth term is given by:

Tn​=a×r^n−1

Where:

• a = first term

• r = common ratio

• n = term number

Explanation

0.005 × 10,000 = 50
So the question becomes: 50 is what percent of 50?

50/50​×100=100%

Explanation

Surface area of a cube = 6 × (side)²

=6×32=6×9=54 cm²

Explanation

An equation of the form ax² + bx + c = 0 is called a quadratic equation.

Here, it has no x-term, but still fits that form.

Explanation

If he works hard, he will pass the examination

This is a first conditional sentence

"If + present simple, will + base form of the verb".