NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 14
NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 14
Question:
How many multiples of 4 lie between 10 and 250?
Given:
The range of numbers is between 10 and 250. We need to find the number of multiples of 4 within this range.
To Find:
The number of multiples of 4 between 10 and 250.
Formula:
The number of multiples of i between a and b is given by \( \frac{m}{i} - \frac{n}{i} + 1\) where
m ≤ b and n ≥ a and are divisible by i.
Solution:
The smallest multiple of 4 greater than 10 is 12.
The largest multiple of 4 less than 250 is 248.
The number of multiples of 4 between 10 and 12 can be calculated using the formula as:
⇒ The number of multiples of 4 = \( \frac{248}{4} - \frac{12}{4} + 1\)
⇒
The number of multiples of 4 = 62 - 3 + 1
⇒
The number of multiples of 4 = 60
Result:
Therefore, there are 60 multiples of 4 between 10 and 250.
Next question solution:
NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 15
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