Explanation

The mean proportional between two numbers a and b is a number x such that: a : x :: x : b

In this case, we want to find the mean proportional between 64 and 81.

Let's set up the proportion: 64 : x :: x : 81

We can rewrite this as: 64/x = x/81

Cross-multiplying, we get: 64 × 81 = x^2

Simplifying, we get: 5184 = x^2

Taking the square root of both sides, we get:

x = √5184

x = 72

So, the mean proportional between 64 and 81 is 72.

Explanation

Hussain Shaheed Suhrawardy was a Pakistani left-wing statesman of Bengal.

Among the  Founding Fathers of modern-day Pakistan.

He was elected as the fifth Prime minister of Pakistan

Served  as Prime minister from 1956 to 1957.

Explanation

Mustafa Kemal, later known as Ataturk

He was born in Thessaloniki (also called Salonika) on July 12, 1881

1st President of Turkey In office 29 October 1923 – 10 November 1938

Died: 10 November 1938 (aged 57), Istanbul, Turkey

Resting place: Anıtkabir, Ankara

Explanation

Let's use the quadratic formula to find the roots:

x = (-b ± √(b² - 4ac)) / 2a

For the given equation x² - 3x + k + 1 = 0:

a = 1, b = -3, c = k + 1

The roots differ by unity, so:

√(b² - 4ac) = 1

(-3)² - 4(1)(k + 1) = 1

9 - 4k - 4 = 1

5 - 4k = 1

-4k = -4

k = 1

Explanation

Given:

Sum of numbers = -8

Product of numbers = 15

The algebraic expression representing this is:

x^2 - (sum)x + (product) = 0

x^2 - (-8)x + 15 = 0

x^2 + 8x + 15 = 0

The correct answer is: x^2 + 8x + 15

Explanation

Arithmetic mean= (18+3)/2=10.5

formula: sum of n A.M= n*A.M

4A.M=4*10.5

         =42

Explanation

White goods are considered durable consumption goods.

This means they are goods that are designed to last for a significant period

They are used by consumers for their personal needs

White goods like refrigerators, washing machines, and dishwashers

They are built to withstand frequent use and last for several years. 

Explanation

The 2025 Australian federal election was held on Saturday, 3 May 2025.

All 150 seats in the House of Representatives and 40 of 76 seats in the Senate were up for election.

The Albanese Labor government won a second term with a landslide victory.

The opposition Liberal–National Coalition, led by Peter Dutton, was defeated.

Explanation

Given data:

The seller sells 40% of his apples.
After selling, he still has 420 apples.
Concept/Formula:

The concept used to solve this problem is related to "percentage". The seller was left with 60% of his apples (100% - 40% = 60%) when he had 420 apples left.

Solution:

⇒ the 420 apples represent 60% of his original stock (since he sold 40%).

⇒ If 60% of the original stock equals 420 apples, then 1% can be calculated by dividing 420 by 60.

Hence, 1% = 420 ÷ 60 = 7 apples.

⇒ Now, to find the total original stock (100%), the amount per 1% is multiplied by 100.

Therefore, the original amount = 7 × 100 = 700 apples.

Therefore, originally, he had 700 apples.

Explanation

The Android operating system was initially developed by Android Inc. in 2003.

Later, in 2005, Google acquired Android Inc. and has continued to develop and maintain the Android OS