Multiple choice general knowledge math & puzzles

If one-seventh of a number exceeds its eleventh part by 100 then the number is.......

  1. 1100

  2. 1925

  3. 1875

  4. 7700
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number be x. Then x/7 - x/11 = 100. Multiplying by 77 (LCM of 7 and 11): 11x - 7x = 7700, so 4x = 7700 and x = 1925. The number is 1925.

AI explanation

To solve this problem, let's assume the number as "x".

According to the given information, one-seventh of the number exceeds its eleventh part by 100. Mathematically, we can represent this as:

$\frac{x}{7} - \frac{x}{11} = 100$

To simplify the equation, we need to find a common denominator, which is 77:

$\frac{11x}{77} - \frac{7x}{77} = 100$

Now we can combine the two fractions:

$\frac{11x - 7x}{77} = 100$

Simplifying further:

$\frac{4x}{77} = 100$

To isolate x, we can cross multiply:

$4x = 7700$

Dividing both sides by 4:

$x = 1925$

Therefore, the correct answer is option B) 1925.

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