$1260 \div 14 \div 9 = x$

Aptitude Number System Difficulty: Easy
Choose an option
  • A
    9
  • B
    10
  • C
    81
  • D
    810
  • E
    None 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**.
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