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Aptitude · Q296

Number System

Competitive Exams · Aptitude · question 296

Q296

If a = 4011 and b = 3989, then value of ab = ?

A.
15999879
Answer
B.
15899879
C.
15989979
D.
15998879

Answer: Option A

Solution

Answer: Option A
Solution:
a = 4011
b = 3989
a × b = 4011 × 3989
         = 15999879

Shortcut method :
a = 4011 ⇒ (4000 + 11)
b = 3989 ⇒ (4000 - 11)
[(a - b) (a + b) = a2 - b2]
According to the question,
a × b = (4000 + 11) (4000 - 11)
        = 40002 -112
        = 16000000 - 121
        = 15999879