The square root of 463 is between
(A) 21 and 22
(B) 22 and 23
(C) 23 and 24
(D) 24 and 25
(E) 25 and 26
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An open Blog with tentative solutions and discussion of GMAT questions
Blogue para afixar e discutir a resolução de exercícios do GMAT
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1 comment:
The problem becomes quite clear if we think in the relation 20^2 = 400. This is a usefull relation, since 20 is a "base" to the alternative answers, as well as 400 is a base for the square. So, how about thinking of solving the equation (20+i)^2 = 400 + 63?
The first member can be developed by the square of a sum: 20^2 + 2x20xi + i^2. Thus we can eliminate the 400 term on both members, yielding: 40i + i^2 = 63. This is quite simple to analyse, as for i=1 one obtains in the first member 41 (less than 63), whereas for i=2 we obtain 84 (more than 63). This points clerrly to the conclusion that the solution lies between (20+1) and (20+2), thus the correct answer will be (A)
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