Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. First row – 7, 343, 49 Second row – 6, 216, 36 Third row – 5, 125, ?
Option 1: 30
Option 2: 45
Option 3: 25
Option 4: 85
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Correct Answer: 25
Solution : Given: First row – 7, 343, 49 Second row– 6, 216, 36 Third row– 5, 125, ?
In each row, the second number is the cube of the first number, and the third number is the square of the first number. Like, first row: 7, 343, 49→(7) 3 = 343; (7) 2 = 49 And, second row: 6, 216, 36→(6) 3 = 216; (6) 2 = 36 Similarly, follow the same pattern for the third row 5, 125, ?→(5) 3 = 125; (5) 2 = 25
So, the missing number is 25. Hence, the third option is correct.
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