Match the following
`{:(,"Column-I",,"Column-II"),((A),"Even number",(p),(22)/(7)),((B),"Rational number",(q),pi),((C),"Irrational number",(r),0),((D),"Real number",(s),sqrt(2)),(,,(t),1.bar(234)):}`

Answer

To solve the problem of matching the items in Column-I with those in Column-II, we will analyze each item in Column-I and find its corresponding match in Column-II.

### Step-by-Step Solution:

1. **Match A (Even number)**:
- An even number is defined as a number that is a multiple of 2.
- Among the options in Column-II, the only even number is **0** (which can be expressed as 0 = 2 × 0).
- Therefore, we match **A with r**.

2. **Match B (Rational number)**:
- A rational number is any number that can be expressed in the form of p/q, where p and q are integers and q ≠ 0.
- In Column-II, **22/7** is a rational number as it can be expressed in the form of p/q.
- **0** can also be expressed as 0/1, which is a rational number.
- However, **π** (pi) and **√2** are not rational numbers.
- The only matches for rational numbers are **22/7** and **0**.
- Thus, we can match **B with p** (for 22/7) and **B with r** (for 0).

3. **Match C (Irrational number)**:
- An irrational number is a number that cannot be expressed as a fraction of two integers.
- From Column-II, **π** and **√2** are both irrational numbers.
- Therefore, we can match **C with q** (for π) and **C with s** (for √2).

4. **Match D (Real number)**:
- Real numbers include all rational numbers and irrational numbers.
- Since all the numbers in Column-II (22/7, π, 0, and √2) are real numbers, we can conclude that **D matches with all items in Column-II**.

### Final Matches:
- A → r (Even number → 0)
- B → p (Rational number → 22/7)
- C → q (Irrational number → π)
- D → s (Real number → √2)

### Summary of Matches:
- A (Even number) → r (0)
- B (Rational number) → p (22/7)
- C (Irrational number) → q (π)
- D (Real number) → s (√2)