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=(1005)(1004)  
= 100 2 +[(5)(4)]100+(5)(4)  
=10000+(9)100+20    =10000900+20  
=10020900  
=9120  
Hence, 95 × 96 = 9120.
Therefore, the correct option is 1.
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Evaluate 95 × 96 without multiplying directly: