Elitmus Exam Numerical Ability Arithmetic

sum of two no is 100 and sum of their reciprocal is 4/51 , if the smallest no is L then which of the following is true , ( i forgot the options)

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Elitmus Other Question

K=log base 3n,n <1000 n and k are whole no. How many value of k and n are possible.
A.5
B.6
C.7
D.none of these
how many different ways we can write the sum of 7 (for eg 1 + 1 + 5 +2 =7 , 3 + 4=7 , remember 3 + 4 is same as 4+3)
a) 13 b)14 c)18 d)27 or 28