If 4 times an integer x is increased by 10, the result is always greater than 18 and less than 34. What is the least value of x?

Question: If 4 times an integer x is increased by 10, the result is always greater than 18 and less than 34. What is the least value of x?

Solution:
প্রশ্নমতে,
4x + 10 > 18 এবং 4x + 10 < 34
অর্থাৎ, 18 < 4x + 10 < 34

এখন,
18 - 10 < 4x < 34 - 10
⇒ 8 < 4x < 24
⇒ 8/4 < x < 24/4
∴ 2 < x < 6

যেহেতু x একটি integer, তাই x-এর সম্ভাব্য মানগুলো হলো যথাক্রমে,
3, 4, 5

সুতরাং, x-এর least value = 3

সঠিক উত্তর: খ) 3