Subset of Set of Real Numbers

Q. If $N$ is the set of all Natural Numbers, $W$ is the set of all Whole Numbers, $Z$ is the set of all Integers, $Q$ is the set of all Rational Numbers, $P$ is the set of all Irrational Numbers, $R$ is the set of all Real Numbers, then choose the correct option(s).

1. $N\subset Z\subset W\subset R$
2. $N\subset Z\subset P$
3. $N\subset Z\subset Q\subset R$
4. $N\subset W\subset Q\subset R;P\subset R$

Q. If $\frac{432}{2^m\times 5^n}$ ends after five places of decimal, then the possible values of m and n cannot be

यदि $\frac{432}{2^m\times 5^n}$ का मान दशमलव के पांच स्थान पश्चात् समाप्त होता है, तब m व n के संभावित मान कौनसे नहीं हो सकते है

1. m = 9, n = 3
   
2. m = 7, n = 5
   
3. m = 9, n = 5
   
4. m = 9, n = 9
   

Q. If $N$ is the set of all Natural Numbers, $W$ is the set of all Whole Numbers, $Z$ is the set of all Integers, $Q$ is the set of all Rational Numbers, $P$ is the set of all Irrational Numbers, $R$ is the set of all Real Numbers, then choose the correct option(s).

1. $N\subset Z\subset W\subset R$
2. $N\subset Z\subset P$
3. $N\subset Z\subset Q\subset R$
4. $N\subset W\subset Q\subset R;P\subset R$

Q. If $Z$ is the set of all Integers, $W$ is the set of Whole Numbers, $N$ is the set of Natural Numbers, then which of the following is/are correct?

1. $N\subset W\subset Z.$
2. $N\subset Z$
3. $Z\subset N$
4. $Z\subset W$

Q. If $P$ is the set of all Irrational Numbers, $Q$ is the set of all Rational Numbers, $Z$ is the set of all Integers, then $Z\subset Q;Z\subset ̸P.$

1. False
2. True

Q. If $Z$ is the set of all Integers, $W$ is the set of Whole Numbers, $N$ is the set of Natural Numbers, then $N\subset W\subset Z.$

1. True
2. False