The difference between the place values of $7$ and $3$ in the number $527435$ is
Aptitude
Number System
Difficulty: Easy
Choose an option
-
A4
-
B5
-
C45
-
D6970
Answer
Correct Answer: 6970
Explanation
### Concept & Logic
Find the individual positional values (place values) of the specific digits and subtract the smaller value from the larger value.
### Step-by-Step Solution
**Given:**
The number is $527435$. We need the difference between the place values of $7$ and $3$.
**Calculation:**
1. The digit $7$ is in the thousands place. Its place value is $7000$.
2. The digit $3$ is in the tens place. Its place value is $30$.
3. Subtract the two values:
$$7000 - 30 = 6970$$
### Exam Strategy & Shortcut
Use the unit digit trick for fast subtraction. You are calculating $7000 - 30$. The last two digits will be $00 - 30 = 70$. Scan the options for a number ending in $70$. Option (d) is the only match, saving you full calculation time.
### Common Pitfall
Students might rush and subtract the **face values** ($7 - 3 = 4$), falling for Option A. Always pause to confirm whether the question asks for "place" or "face" value.
### Final Answer
Therefore, the correct answer is **6970**.