## Bharat Gupta is teaching live on Unacademy Plus

Base System Problems part 7

The numbers (43)7, (50)7, (54)7 are n which of the following base is in a. A.P c. H.P 5016 a perfect cube? b. 9 d. 7 d. None of these If the arithmetic mean of (12% and (33)7 is (10)n, then the value of n is (756)n : (618), a. (93)10 c. (108)10 0: (135)n:? b. (216)10 d. (11310 b. 8 c. 12 d. 16 abcd is a four digit no in base 7 such The unit digit of each of X and Y when expressed to the base n is a. If the units digit of that 2(abcd) = bcda. (a, b # 0) Find when expressed to the base n is either 2 or the value of a. 2 5, find n a. 1 b. 2 c. 3 d. CBD e. Data insufficient b. 6 C. 10 d. 12 e. 14

The numbers (43)7, (50)7, (54)7 are in c. H.P. d. None of these

The numbers (43)7, (50)7, (54)7 are in c. H.P. d. None of these 2 1 5 24 A. P

In which of the following base is 5016 a perfect cube?

In which of the following base is 5016 a perfect cube? on = 17s f 13 = 1718-12

If the arithmetic mean of (12), and (33), is (10), , then the value of n is: a. 4 b. 8 c. 12 d. 16

If the arithmetic mean of (12), and (33), is (10), , then the value of n is: a. 4 b. 8 c. 12 d. 16 2. 2. 32 14 "V

(756)n (618)10: (135)n:? a. (93)10 b. (216)0 c. (108)o d. (113)10

(756)n (618)10: (135)n:? a. (93)10 b. (216)0 c. (108)o d. (113)10 n> 113