Explanation

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

Both 3 and 5 are prime numbers.

9 is not a prime number because it can be divided by 1, 3, and 9.

Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

Evaluate the expressions inside the parentheses:

    - 11 - 2 = 9

Replace the expressions with their values:

    - (8(9) - 5(9))/3

Multiply the numbers:

    - 72 - 45 = 27

Divide by 3:

    - 27/3 = 9

So, the correct answer is: 9

Explanation

Let the numbers be a, b and c Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131 (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400 ⇒ (a + b + c) = 400−−−√ = 20

Explanation

Let the ten's digit be x and unit's digit be y

Then, x + y = 15 and x - y = 3   or   y - x = 3

Solving x + y = 15   and   x - y = 3, we get: x = 9, y = 6

Solving x + y = 15   and   y - x = 3, we get: x = 6, y = 9

So, the number is either 96 or 69

Hence, the number cannot be determined.

Explanation

12/35

sum of numbers = 12

Product of numbers =35

Let the numbers be x and y

x+ y= 12

xy= 35

According to question we have to find 1/x + 1/y

 1/x + 1/y =(y+ x)/xy

 1/x + 1/y=12/35

sum of their recriprocal is 12/35

Explanation

Given:  

y = 5  

Expression: 10y × √(y³ − y²)

Step-by-step:

1. y³ = 5³ = 125  

2. y² = 5² = 25  

3. y³ − y² = 125 − 25 = 100  

4. √(100) = 10  

5. 10y = 10 × 5 = 50  

6. Final result: 50 × 10 = 500

Explanation

By definition, 1 ream = 500 sheets of paper.

This is a standard unit used in offices and the printing industries worldwide

Explanation

Harmonic Mean (H.M): The reciprocal of the arithmetic mean of the reciprocals of the numbers.

Geometric Mean (G.M): The nth root of the product of the numbers.

Arithmetic Mean (A.M): The sum of the numbers divided by the count of numbers.

Explanation

One megawatt (MW) is equal to 1,000 kilowatts (kW).

This is because the prefix "mega-" means "one million" or "10^6".

"Watt" is the unit of power.

1 megawatt (MW) = 1,000 kilowatts (kW)

1 kilowatt (kW) = 1,000 watts (W)

Explanation