Question
Study the given pattern carefully and select the number
from among the given options that can replace the question mark (?) in it. 11Â Â Â Â Â Â Â Â 15Â Â Â Â Â Â 9 14Â Â Â Â Â Â Â Â 16Â Â Â Â Â Â ? 75Â Â Â Â Â Â Â 31Â Â Â Â Â Â 88Solution
First column = (14 + 11) x (14 – 11) = 25 x 3 = 75 Second column = (16 + 15) x (16 – 15) = 31 x 1 = 31 First column = (y + 9) x (y – 9) = 88 → y ² – 9 ² = 88 → y ² – 81 = 88 → y ² = 88 + 81 → y ² = 169 → y = 13
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