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Question

The product of two consecutive natural numbers is 380. The greater of the two numbers is:

The correct answer is
20

Let the two consecutive natural numbers be $n$ and $n+1$.

Product Calculation

The problem states that their product is 380:

$n \times (n+1) = 380$

Finding the Numbers

We need to find two consecutive natural numbers that multiply to 380. We can estimate the numbers by taking the square root of 380:

$\sqrt{380} \approx 19.49$

This suggests the numbers are close to 19.49. Let's test the consecutive natural numbers around this value:

  • If the smaller number $n=19$, the next number is $n+1=20$.
  • Check the product: $19 \times 20 = 380$.

This matches the given product.

Identifying the Greater Number

The two consecutive natural numbers are 19 and 20.

The greater of these two numbers is 20.

This corresponds to Option A.

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Important Questions from Number system (Railways)

  1. The product of two consecutive natural numbers is 650. The greater of the two numbers is:
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