$1260 \div 14 \div 9 = x$
Aptitude
Number System
Difficulty: Easy
Choose an option
-
A9
-
B10
-
C81
-
D810
-
ENone of these
Answer
Correct Answer: 10
Explanation
### Concept & Rule
This question tests the **Continuous Division Rule**. When an expression involves multiple consecutive division operations, they must be executed strictly from left to right. Alternatively, you can convert consecutive divisions into a single multiplication in the denominator.
$$ A \div B \div C = \frac{A}{B \times C} $$
### Step-by-Step Solution
* **Given:** The expression $1260 \div 14 \div 9$.
* **Step 1:** Convert the consecutive divisions into a single fraction to avoid decimal complications.
$x = \frac{1260}{14 \times 9}$
* **Step 2:** Multiply the terms in the denominator.
$14 \times 9 = 126$
* **Step 3:** Substitute the denominator back into the fraction.
$x = \frac{1260}{126}$
* **Step 4:** Perform the final simplification.
$x = 10$
### Exam Strategy & Shortcut
Memorizing multiplication tables up to $20$ is crucial for banking exams. If you know that $14 \times 9 = 126$, you can look at $1260 \div 14 \div 9$ and immediately see the relationship.
You are essentially evaluating $1260 \div 126$. The digits perfectly align, leaving just the zero, making the answer $10$ in less than two seconds.
### Common Pitfall
The most dangerous mistake here is dividing right-to-left. A student might incorrectly calculate $14 \div 9$ first, or arbitrarily rearrange the order. Division is **not commutative or associative**. Always calculate left-to-right or use the denominator rule.
### Final Answer
Therefore, the correct answer is **10**.