Explanation

Let's break it down:

Cars washed in 18 minutes = 8

Cars washed per minute = 8 / 18

To find cars washed in 3 hours (180 minutes):

Cars washed in 180 minutes = (8 / 18) * 180

= 8 * 10

= 80

Explanation

Let's simplify:

(2⁰⋅⁶ ∗ 4⁰⋅³ ∗ 8⁰⋅²) / 2¹⋅⁸

= (2⁰⋅⁶ ∗ (2²)⁰⋅³ ∗ (2³)⁰⋅²) / 2¹⋅⁸

= (2⁰⋅⁶ ∗ 2⁰⋅⁶ ∗ 2⁰⋅⁶) / 2¹⋅⁸

= 2¹⋅⁸ / 2¹⋅⁸

= 1

Explanation

"Set off" is a phrasal verb that means to start a journey or trip.

Example: They set off early in the morning to avoid traffic.

Explanation

A = {1,2} and B = {a, b} have the same number of elements (both have 2 elements), so they are equivalent sets.

They are not equal sets because their elements are different.

Explanation

Step 1: Identify the pattern

Let's analyze the given numbers:

101 = 20: 10 * 2 = 20 (first two digits multiplied)

354 = 75: 3 * 25 = 75 (first digit * last two digits)

333 = 63: 3 * 21 = 63 (first digit * last two digits)

Step 2: Apply the pattern

If the pattern is the first digit multiplied by the last two digits:

828: 8 * 20.25 doesn't fit directly, but 8 * 20 = 160 + 2 = 162 (8 * 20 + 2 = 162), or simply 8 * (20 + 0.25) = 162.

However, a simpler pattern could be:

101: 10 * 2 = 20

354: 3 * 25 = 753

33: 3 * 21 = 638

28: 8 * 20.25 = 162

Explanation

Let's calculate Akram's current age:

Akram's age = 2 × Aslam's age

= 2 × 11

= 22 years

The difference in their ages is:

22 - 11 = 11 years

When Akram is 50 years old, Aslam will be:

50 - 11 = 39 years old

Explanation

Let's denote the cost of an apple as A and the cost of a mango as M.

Given equations:

2A + 3M = 86 ... (1)

4A + M = 112 ... (2)

Multiply equation (2) by 3:

12A + 3M = 336 ... (3)

Subtract equation (1) from equation (3):

(12A - 2A) + (3M - 3M) = 336 - 86

10A = 250

A = 250 / 10

A = 25

Explanation

The kidneys filter the blood to remove waste products and excess fluids, forming urine.

They play a key role in maintaining the body's fluid and electrolyte balance.

Explanation

The Angstrom (Å) is commonly used to measure wavelengths of light, where

1 Å = 10⁻¹⁰ meters.

Light wavelengths typically range from 4000 Å to 7000 Å.

Explanation

Step 1: Determine the total parts in the ratio

The ratio is 1:2:3, so the total parts are 1 + 2 + 3 = 6

Step 2: Calculate Noor's share

Noor's share is 1 out of 6 parts, so his share of the profit is (1/6) * 600

Step 3: Calculate the amount

(1/6) * 600 = 100