Explanation

91

Hence, total number of ways =(3×5×5)+(3×5)+1=91.

Explanation

Let 45 x A = (25 x 900)/100

∴ A = (25 x 9)/45 = 5

Explanation

• To solve 8 × (8 + 8): 
  • 8 + 8 = 16
  • 8 × 16 = 128
  • So, the answer is 128.

Explanation

360

The word is "leader". Total number of ways = 6! / 2!

∴ The total number of passes is 360.

Explanation

A sentence in "If....then..." form is called an implication. The only time when an implication is false is when the "If" part of the sentence is true and the "then" part of the sentence is false. The number 32 makes the first part of the statement true and the second part of the statement false.

Explanation

The command to obtain a numerical solution in Mathematica is NSolve. 

NSolve is specifically designed for finding numerical solutions to equations or systems of equations.

Explanation

An uncountable set (like real numbers) has more elements than can be listed.

The union of a countable and uncountable set is always uncountable

A ∪ B is uncountable 

Explanation

To find the smallest integer divisible by both 25 and 30, determine their least common multiple (LCM).

The multiples of 25 are 25, 50, 75, 100, 125, 150, and the multiples of 30 are 30, 60, 90, 120, 150.

The smallest common multiple is 150, making it the LCM.

Thus, 150 is the smallest integer divisible by both.

Explanation

Explanation

Here the value of 1 square yard to feet is 9 sq ft.

For example, if you want to convert 2 square yards into square feet,

you need to multiply 2 with 9, i.e.,

2 × 9 = 18 square feet.

SH19-8-2023