APTITUDE Problems On Surds and Indices

February 8th, 2011 by seenu Leave a reply »
1. Find the value of [5[81/3+271/3]3]1/4





2. Find the value of (243)n/5 * 32n+1 / 9n * 3 n-1





3. If x= ya , y = zb , z = xc then find the value of abc.





4. The value of (8-25-8-26) is (a) 7* 8-25 (b) 7*8-26 (c ) 8* 8-26 (d) None





5. 1/(1+xb-a+xc-a)+1/(1+xa-b+xc-b)+1/(1+xb-c+xa-c)=? (a) 0 (b) 1 ( c ) xa-b-c (d) None of the above





6. (xb/xc)b+c-a (xc/xa)c+a-b (xa/xb)b+a-c = ? (a) xabc (b) 1 ( c) xab+bc+ca (d) xa+b+c





7. If ax = by = cz and b2 = ac then ‘y’equals (a)xz/x+z (b)xz/2(x-z) (c)xz/2(z-x) (d)2xz/x+z





8. If 2x = 4y =8z and (1/2x +1/4y +1/6z) =24/7 then the value of 'z' is (a) 7/16 (b) 7 / 32 (c ) 7/48 (d) 7/64





9. If 3x-y = 27 and 3x+y = 243 then x is equal to (a) 0 (b) 2 (c ) 4 (d) 6





10. 13) If x=3+2 √2 then the value of (√x – 1/ √x) is [ √=root] (a) 1 (b) 2 (c ) 2√2 ( d) 3√3







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