Q1: Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
(क्या शून्य एक परिमेय संख्या है? क्या आप इसे p/q के रूप में लिख सकते हैं?)

Solution (हल):
Yes, zero is a rational number. It can be written in the form of p/q where p and q are integers and q ≠ 0.
For example: 0 = 0/1, 0/2, 0/5, etc.

Q2: Find six rational numbers between 3 and 4.
(3 और 4 के बीच छह परिमेय संख्याएं ज्ञात कीजिए।)

Solution (हल):
We multiply and divide the given numbers by (6 + 1) = 7.
3 = 3 × (7/7) = 21/7
4 = 4 × (7/7) = 28/7
The six rational numbers are: 22/7, 23/7, 24/7, 25/7, 26/7, 27/7

Q3: Find five rational numbers between 3/5 and 4/5.
(3/5 और 4/5 के बीच पांच परिमेय संख्याएं ज्ञात कीजिए।)

Solution (हल):
We multiply the numerator and denominator by (5 + 1) = 6.
(3/5) × (6/6) = 18/30
(4/5) × (6/6) = 24/30
The five rational numbers are: 19/30, 20/30, 21/30, 22/30, 23/30

Q4: State whether the following are true or false. Give reasons.
(सत्य या असत्य बताइए और कारण दीजिए।)

1. Every natural number is a whole number.
   True (सत्य): Natural numbers start from 1, whole numbers start from 0.
2. Every integer is a whole number.
   False (असत्य): Integers include negative numbers (like -2), whole numbers do not.
3. Every rational number is a whole number.
   False (असत्य): Fractions like 1/2 are rational but not whole numbers.