Quantitative Aptitude
SURDS AND INDICES MCQs
Surds & Indices, Indices And Surds, Power
Total Questions : 753
| Page 19 of 76 pages
Answer: Option C. -> 2.9
Answer: (c).2.9
Answer: (c).2.9
Answer: Option C. -> 4
Answer: (c).4
Answer: (c).4
Answer: Option A. -> 25
Answer: (a).25
Answer: (a).25
Answer: Option B. -> 10000
Answer: (b).10000
Answer: (b).10000
Answer: Option D. -> 1000
Answer: (d).1000
Answer: (d).1000
Answer: Option B. -> 13
Answer: (b).13
Answer: (b).13
Answer: Option B. -> `root3(4)`
Sol. Given surds are of order 4, 2 and 3 respectively. Their L.C.M. is 12 .
Changing each to a surd of order 12 , we get :
`root4(6) = 6^( 1/4) = 6^( 1/4 xx 3/5) = (6^(3/12)) = (6^3)^(1/12) = (216)^(1/12)`
`sqrt(2) = 2^(1/2) = 2^(1/2 xx 6/6) = (2^(6/12)) = (2^6)^(1/12) = (64)^(1/12)`
`root3(4) = 4^(1/2) = 4^(1/3 xx 4/4) = (4^(4/12)) =( 4^4)^(1/12) = (256)^(1/12)`
Clearly , `(256)^(1/12) > (216)^(1/12) i.e. , root3(4)`
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