Question : Directions: In the following question, select the number that can be placed at the sign of the question mark (?) from the given alternatives.
Option 1: 112
Option 2: 144
Option 3: 156
Option 4: 186
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Correct Answer: 156
Solution : Add the first and second numbers of the lower blocks and then multiply the resultant with its preceding number to get the top left number of the upper block similarly, add the second and third numbers of the lower block and multiply the resultant with its preceding number to get the top right number of the upper block.
In the first figure
– (2 + 3)
× (2 + 3 – 1) = 5
× 4 = 20;
(3 + 6)
× (3 + 6 – 1) = 9
× 8 = 72
In the second figure
– (3 + 7)
× (3 + 7 – 1) = 10
× 9 = 90;
(7 + 4)
× (7 + 4 – 1) = 11
× 10 = 110
Similarly, in the third figure
– (1 + 7)
× (1 + 7 – 1) = 8
× 7 = 56; (7 + 6) × (7 + 6 – 1) = 13 × 12 = 156
Therefore, 156 is the required missing number for the given figure. Hence, the third option is correct.
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