Explanation

To find the number of shelves needed, divide the total number of books (24375) by the number of books that can be arranged in each shelf (375):

24375 ÷ 375 = 65

So, 65 shelves will be needed.

Explanation

2 is smaller than 3

The number on the left is less than the number on the right; 2 < 3

ND-31-8--2023

Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

• Divide 28 by 7: 28 ÷ 7 = 4
• Multiply 4 by 2: 4 × 2 = 8
• Add 9 to 8: 9 + 8 = 17

So, the correct answer is: 17

Explanation

January    31

July            31

March         31

February    28

Explanation

35 ÷ 7 = 5.

35 divided by 7 equals 5, with no remainder.

Explanation

The set of nth roots of unity, denoted by {ω₀, ω₁, ..., ωₙ₋₁}, forms a group under the operation of multiplication.

Explanation

Given:

n = (3/2) / (1/4)

To divide by a fraction, we multiply by its reciprocal:

n = (3/2) × (4/1)

= (3 × 4) / 2

= 12 / 2

= 6

So, n = 6.

The answer is 5 and 7.

Explanation

Given:

x = 0.3

The expression is:

(x^0.5 ∗ x^0.2 ∗ x^0.3) / x

Using exponent rules:

= x^(0.5 + 0.2 + 0.3) / x

= x^1 / x

= x / x

= 1

Explanation

Failed candidates in English = (100 - 70) = 30%
Failed candidates in Mathematics = (100 - 80) = 20%
Candidates who fail in both subject = 10% Candidates who only fail in English = 30 - 10 = 20%
Candidates who only fail in Mathematics = 20 - 10 = 10%
Percentage of passed students in both subject
= 100 - (Candidates who only fail in English + Candidates who only fail in Mathematics + Candidates who fail in both subject)
= 100 - (20 + 10 + 10)
= 60%
According to the question,
60% of students = 144
Total students :
= 

 
= 240

****

RY 16-01-2023

Explanation

9600=27∗3∗52 So the total number of divisors= 8∗2∗3=48