Ratio and Proportion, Indicies and logrithm

01) Two numbers are in the ratio 7:8, If 

      3 is added to each of them, their 

      ratio becomes 8:9. The numbers are:

      (a) 14, 16

      (b) 24, 27

      (c) 21, 24

      (d) 16, 18

02) The value of the expression :

       a^log_a^b.log_b^c.log_c^d.log_d^e

              (a) t

         (b) abcdt

         (c) (a+b+c+d+t)

        (d) None

^{03) If log}₁₀₀₀₀x = -1/4, then x given by :

     (a) 1/100

     (b) 1/10

     (c) 1/20

     (d) None of these

04) If 2^x- 2^x-1 = 4, then the value of  X^x is :

        (a) 2

        (b) 1

        (c) 64

        (d)27

05) If log [ (a + b) / 4] = 1/2 (log a+ log b)

       then :

        (a/b) + (b/a)

       (a) 12

       (b) 14

       (c) 16

       (d) 8

06) In a film shooting, A and B received money

       in a certain ratio in the same ratio. If A gets 

       Rs. 160000 and C gets Rs. 250000. Find the 

       amount received by B?

       (a) Rs. 200000

       (b) Rs. 250000

       (c) Rs. 100000

       (d) Rs. 150000