Explanation

Explanation

Explanation

To find the loss percentage:

Cost Price (CP) = Rs. 120,000

Selling Price (SP) = Rs. 96,000

Loss = CP - SP = 120,000 - 96,000 = Rs. 24,000

Loss percentage = (Loss / CP) × 100

= (24,000 / 120,000) × 100

= 0.2 × 100

= 20%

Explanation

Explanation

Let's calculate:

= 3⁰ = 1

= 3¹ × 3² = 3 × 9 = 27

= 1 + 27 - 1/3

= 9

Explanation

Let's solve for x:

x/2 + x/3 + x/6 = 10

To add these fractions, find a common denominator (6):

3x/6 + 2x/6 + x/6 = 10

6x/6 = 10

x = 10

Explanation

Let's simplify the expression:

√25^(3x) = √(5²)^(3x) = √(5^(6x)) = 5^(3x)

Now, divide by 5^(6x-2):

5^(3x) / 5^(6x-2) = 5^(3x - 6x + 2) = 5^(-3x + 2)

For this to equal one of the given options (5, 10, 15), let's see if -3x + 2 = 1 (for 5¹ = 5):

-3x + 2 = 1

-3x = -1

x = 1/3

Then, 5^(-3(1/3) + 2) = 5¹ = 5

Explanation

Let's simplify the expression:

√(12 + 2√35)

This can be rewritten as:

√(7 + 5 + 2√(7 × 5))

= √(√7 + √5)²

= √7 + √5

Explanation

Let's evaluate the expression step by step:

1. Calculate 2022²:

2022² = 4,088,484

2. Calculate 1²:

1² = 1

3. Calculate 2022² - 1²:

4,088,484 - 1 = 4,088,483

4. Divide by 2021:

4,088,483 ÷ 2021 = 2023

Explanation

Let's calculate:

5! = 5 × 4 × 3 × 2 × 1 = 120

√120 + 1 

√121 = √11×11

= 11