Latest TCS Aptitude Question SOLUTION: Find the value of; (209*144)^2 + (209*209)+(209*144)+(144*144) = ? a) 905863729 b) 905368729 c) 905729368 d) 65

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(#M40022770) TCS Logical Reasoning question Keep an EYE

Find the value of; (209*144)^2 + (209*209)+(209*144)+(144*144) = ?
a) 905863729
b) 905368729
c) 905729368
d) 65

Asked In TCS jyotikumari (10 years ago)

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Read Solution (2) :

ANKIT VERMA  (10 years ago)

its like ab2+a2+b2+ab
solve it (a+b)2-(ab(1-ab))
124609+905739120=905863729

Is this solution Helpfull? Yes (11) | No (3)  

karthik  (10 years ago)

Let (209*144)^2 + (209*209)+(209*144)+(144*144)= S
put 144 =P and 209 = Q
then the above equatXion becomes as
(PQ)^2 + Q^2 + PQ + P^2 = (P+Q)^2 - PQ +(PQ)^2
= (P+Q)^2 + PQ( PQ -1)
put back the values
= (144+209)^2 + 144*209(144*209 - 1)
= 353^2 + 30096*30095
=124609 + 905739120
=905863729

Is this solution Helpfull? Yes (3) | No   

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