Xavier Aptitude Test 2019 Paper

Question : 49 of 98

Marks: +1, -0

√^3{7^a×(35)^{b+1}×(20)^{c+2}}

is a whole number then which one of the statements below is consistent with it ?

Solution:

√^3{7^a×(35)^{b+1}×(20)^{c+2}}

={7^{a/3}×(35)^{{b+1}/3}×(20)^{{c+2}/3}}

If a = 3, 6 = 2 and c = 1, then

={7^{a/3}×(35)^{{b+1}/3}×(20)^{{c+2}/3}}

={7^{3/3}×(35)^{{3}/3}×(20)^{{3}/3}}

= 7 × 35 × 20

, which is a whole number.

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