Explanation

Find HCF of 408, 468, and 516

• Prime factorizations:

  • 408 = $2^3\cdot 3<br>$

  • 468 = $2^2 cdot 3 cdot 13$
    

  • 516 = $2^2\cdot 3\cdot 43$

Common: 2^2.3 = 4.3=12

Explanation

Average = (12 + 15 + 18) ÷ 3 = 45 ÷ 3 = 15

Explanation

Salary: 80,000:70,000:50,000

Total Salary: 200,000

Average Formula: Amount/ Total Amount (the sum of the numbers divided by the total number of values in the set)

8:7:5

Explanation

Sh5-9-2023

Explanation

The player's average runs in 10 innings is 32, so the total runs scored is: 10 x 32 = 320 runs.

To increase the average by 4, the new average will be: 32 + 4 = 36 runs.

Since the player has played 11 innings now (10 previous + 1 next), the total runs required to achieve the new average is: 11 x 36 = 396 runs.

To find out how many runs the player needs to score in the next innings, subtract the runs already scored from the total runs required: 396 - 320 = 76 runs.

So, the correct answer is: 76

Explanation

To calculate David's average marks, we need to add up all his marks and divide by the number of subjects:

English: 76

Mathematics: 65

Physics: 82

Chemistry: 67

Biology: 85

Total marks: 76 + 65 + 82 + 67 + 85 = 375

Number of subjects: 5

Average marks: 375 ÷ 5 = 75

So, David's average marks are: 75

Explanation

score of 8 players is 192

score of 1 player is 192/8 = 24

Explanation

Clearly, from 1 to 100, there are ten numbers with 3 as the unit's digit- 3, 13, 23, 33, 43, 53, 63, 73, 83, 93;

and ten numbers with 3 as the ten's digit - 30, 31, 32, 33, 34, 35, 36, 37, 38, 39.

So, required number = 10 + 10 = 20.

Explanation

The average age of six girls is 126 months. 

=(120+124+123+130+130+129+130)/7

=(886)/7

=126

Sh5-9-2023

Explanation

Four years ago, the average age of A, B, and C was 25 years.

This means that the total age of A, B, and C four years ago was 25 x 3 = 75 years.

Since then, all three have aged 4 years, so their total age now is 75 + 4 + 4 + 4 = 87 years.

Five years ago, the average age of B and C was 20 years.

This means that the total age of B and C five years ago was 20 x 2 = 40 years.

Since then, both B and C have aged 5 years, so their total age now is 40 + 5 + 5 = 50 years.

Now, we know that the total age of A, B, and C is 87 years, and the total age of B and C is 50 years.

So, A's current age is 87 - 50 = 37 years.

The correct answer is: 37 years