Surds and Indices · General Aptitude

ABC26GN1867 · Simplify : (i) (27) 3 (ii) (1024) 5 (iii)  .  125  2 2  2  3 × 

ABC26GN1890 · [3]5 is a surd of the order · 2008

ABC26GN1892 · 50 8= ? · 2006

ABC26GN1893 · Which of the following are equal in value? I. 41 II. 14 III. 40 IV. 04

ABC26GN1894 · If 289=171/5 x, then x= ? · 2009

ABC26GN1896 · (81)4 (9)5= ? · 2009

ABC26GN1872 · What is the quotient when (x-1-1 ) is divided by (x-1) ?

ABC26GN1873 · If 2x-1+2x+1=1280, then find the value of x.

ABC26GN1875 · Find the value of \(16)3/2+(16)-3/2 \. self-practice

ABC26GN1876 · If (1/5 )3 y=0.008, then find the value of (0.25)y.

ABC26GN1878 · Find the value of (243)n/5 32 n+19n 3n-1. self-practice

ABC26GN1879 · Find the value of (21/4-1 ) (23/4+21/2+21/4+1 ). self-practice

ABC26GN1897 · (343 49)/(216 16 81)= ? · 2010

ABC26GN1899 · (16 32)/(9 27 81)= ? · 2009

ABC26GN1881 · If   =  , then find the value of x.  q  p rx − s px − q rx − s − ( px − q )  p  q  p  p

ABC26GN1900 · 93 (81)2 (27)3=(3)? · 2010

ABC26GN1882 · If x=ya, y=zb and z=xc, then find the value of abc.

ABC26GN1901 · (6)4 (36)3 216=6(?-5) · 2010

ABC26GN1883 · Simplify : (xaxb )^ (a2+b2+a b ) (xbxc )^ (b2+c2+b c ) (xcxa )^ (c2+a2+c a ).

ABC26GN1902 · (0.2)2, 1/100,(0.01)1/2,(0.008)1/3. Of these, which one is the greatest? · 2004

ABC26GN1884 · If 8x.2y=512 and 33x+2y=96, then what is the value of x and y ? (M.A.T., 2004)

ABC26GN1903 · Which of the following expressions has the greatest value?

ABC26GN1885 · Find the largest from among [4]6, √(2) and [3]4.

ABC26GN1904 · (10)24 (10)21-= ? · 2008

ABC26GN1905 · The value of (256)5/4 is

ABC26GN1887 · If x=3+2 √(2), find the value of (√(x)-1√(x) ).

ABC26GN1906 · The value of (√(8))1/3 is

ABC26GN1907 · The value of (32/243 )-4/5 is

ABC26GN1908 · The value of (-1/216 )-2/3 is

ABC26GN1912 · The value of (0.03125)-2/5 is · 2006

ABC26GN1913 · (1/2 )-1/2 is equal to · 2005

ABC26GN1914 · Simplified form of [ ([5]x-3/5 )-5/3 ]5 is · 2010

ABC26GN1915 · What will come in place of both the question marks in the following question? (Bank Recruitment, 2010) (?)2/342=5(?)1/3

ABC26GN1934 · Simplify  a   a  ; the result is (M.B.A. , 2011)   4

ABC26GN1950 · If 2n+4-2n+2=3, then n is equal to

ABC26GN1951 · If 2n-1+2n+1=320, then n is equal to

ABC26GN1952 · If 3 – 3 x – 1 = 18, then the value of xx is

ABC26GN1956 · If x=5+2 √(6), then √(x)-1√(x) is · 2009

ABC26GN1957 · (4+√(7)), expressed as a perfect square, is equal to (Section Officers', 2005)

ABC26GN1958 · √(8-2 √(15)) is equal to · 2007

ABC26GN1959 · √(6-4 √(3)+√(16-8 √(3))) is equal to · 2010

ABC26GN1960 · The value of 1√(12-√(140))-1√(8-√(60))-2√(10+√(84)) is · 2005

ABC26GN1961 · The value of the expression √(4+√(15))+√(4-√(15))-√(12-4 √(5)) is

ABC26GN1962 · If N=√(√(5)+2)+√(√(5)-2)√(√(5)+1)-√(3-2 √(2)), then the value of N is · 2009

ABC26GN1963 · Given that 100.48=x, 100.70=y and xz=y2, then the value of z is close to

ABC26GN1964 · If m and n are whole numbers suchthat mn=121, then the value of (m-1)n+1 is · 2001

ABC26GN1965 · Number of prime factors in (216)3/5 (2500)2/5 (300)1/5 is

ABC26GN1966 · Number of prime factors in 612 (35)28 (15)16(14)12 (21)11 is

ABC26GN1967 · 1+(3+1) (32+1 ) (34+1 ) (38+1 ) (316+1 ) (332+1 ) is equal to · 2005

ABC26GN1968 · 11+a(n-m)+11+a(m-n)= ? · 2006