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Q.


Evaluate 103 × 107 without multiplying directly:

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a

11021

b

00121

c

99121

d

66121  

answer is A.

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Detailed Solution

Given: 103 × 107
Let us first split 103 and 107:
103 × 107 = (100 + 3) (100 +7)
Let us use identity here,
(x + a) (x + b) = x² + (a + b) x + ab:
103×107=(100+3)(100+7)  
= 100 2 +(3+7)100+3×7  
=10000+10×100+21  
=10000+1000+21  
=11021  
Hence, 103 × 107 = 11021
Therefore, the product of 103 × 107 is 11021.
So, the correct option is 1.
 
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