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Q.


Evaluate 95 × 96 without multiplying directly:

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a

  9120

b

  3120

c

  4120

d

  6120 

answer is A.

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Detailed Solution


Given: 95 × 96
Let us now split 95 and 96:
95 × 96 = (100 - 5 ) (100 - 4)
We shall use identity here,
(x + a) (x + b) = x² + (a + b) x + ab:
95×96=(100−5)(100−4)  
= 100 2 +[(−5)−(4)]100+(−5)(−4)  
=10000+(−9)100+20    =10000−900+20  
=10020−900  
=9120  
Hence, 95 × 96 = 9120.
Therefore, the correct option is 1.
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Evaluate 95 × 96 without multiplying directly: