Question : Directions: In the following question, select the missing number from the given responses.
If (7 × 8 )/9 = 3; (8 × 9)/144 = 12; (10 × 11)/169 = 13; then (12 × 13)/441 = ?
Option 1: 196
Option 2: 225
Option 3: 144
Option 4: 21
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Correct Answer: 21
Solution :
Here, in each equation, the number in the denominator of L.H.S. is the square of the number in R.H.S.
Like, (7 × 8)/9 = 3→√9 = 3
(8 × 9)/144 = 12→√144 = 12
(10 × 11)/169 = 13→√169 = 13
Similarly, for (12 × 13)/441→√441 = 21
Therefore, the missing number is 21. Hence, the fourth option is correct.
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