Explanation

A seven-digit number starts from 1,000,000 and goes up to 9,999,999.

1000000 is the smallest possible number with exactly seven digits.

Explanation

Let's denote the width as w and the length as 3w (since the length is thrice the width).

The area of the window is:

w × 3w = 3w²

Given area = 18.75 sqm

3w² = 18.75

w² = 18.75 / 3

w² = 6.25

w = √6.25

w = 2.5

Length = 3w

= 3 × 2.5

= 7.5

Explanation

The Least Common Multiple (LCM) of 3 and 4 is 12, the smallest number divisible by both.

Multiples of 3: 3, 6, 9, 12...

Multiples of 4: 4, 8, 12...

Explanation

In the Cartesian coordinate system:

• 1st quadrant: (+, +)
• 2nd quadrant: (-, +)
• 3rd quadrant: (-, -)
• 4th quadrant: (+, -)

Given point P(-4, -7):

Both x (-4) and y (-7) coordinates are negative.

This point lies in the 3rd quadrant.

Explanation

20% of 180 = (20/100) × 180

= 0.2 × 180

= 36

Explanation

Explanation

O(P) = O(Q) means the number of elements in P is equal to the number of elements in Q.

This implies that P and Q have the same cardinality, which can be represented as P ~ Q (P is equivalent to Q).

Explanation

We are given the equation:

w = (2/3)t + 6

and asked to find w when t = 12.

Step-by-step:

w = (2/3 × 12) + 6

w = 8 + 6

w = 14

Explanation

Let the money Bilal has = x

Then Ahmed has = x + 20

Together they have:

x + (x + 20) = 150

→ 2x + 20 = 150

→ 2x = 130

→ x = 65

Bilal has 65 PKR.

Explanation

Let's find the square numbers between 63 and 143:

8² = 64 (since 8² = 64 > 63)

9² = 81

10² = 100

11² = 121

The next square number would be 12² = 144, which is greater than 143, so we stop at 11².

Now, let's calculate the sum:

64 + 81 + 100 + 121 = 366