## Bharat Gupta is teaching live on Unacademy Plus

Base System Problems part 5

Normally, numbers are written with base 10. Binary numbers have a base of 2. If 19527 = 3 * 7 * 7 * 131, in what base can be written as 110100? a. 3 b.5 C7 How many numbers (in base 10) are there such that base 8 representation and base- 12 representation of the numbers are both three-digit numbers? a. 367 b. 368 c. 461 d. 462 d. 8 How many numbers have exactly 3 digits when expressed in either base 5 or base 11? A three digit non-zero number 'abc' in base 5, when converted to base 7, becomes 'cba'. Which of the following is necessarily true? a. a must be 2 b. c must be 2 c. b must be 0 d. None On planet Jupiter the people use a certain number system to the base 'n' (n > 2), Mark, a resident of the planet, one day received twice his daily wage because the digits of this wage, which was a 2 digit number, were reversed. If the value of 'n' is the least possible value. Then the decimal representation of the difference between Mark's correct and wrong wage for the day is a. 18 b. 8 c. 27 d. 9

Normally, numbers are written with base 10. Binary numbers have a base of 2. If 19527 = 3 * 7 * 7 * 131, in what base can be written as 110100? c. 7 d. 8

Normally, numbers are written with base 10. Binary numbers have a base of 2. If 19527 = 3 * 7 * 7 * 131, in what base can be written as 110100? c. 7 d. 8 o loo = 49 (393)

How many numbers have exactly 3 digits when expressed in either base 5 or base 11? a. b. 2 C. 5 d. 7

How many numbers have exactly 3 digits when expressed in either base 5 or base 11? a. b. 2 C. 5 d. 7 No.ur lolaere wlumao, nvuti. Alo S-baal 10tove thre

How many numbers have exactly 3 digits when expressed in either base 5 or base 11? a. 4 b. 5 C. 6 d. 7 oi0 hove tue Lon O l ll bese 121 133D

How many numbers have exactly 3 digits when expressed in either base 5 or base 11? a. 4 b. 5 C. 6 d. 7 23 tt bese 1330 121 Cowwon ko. 121,122, 123, l29

How many numbers (in base 10) are there such that base - 8 representation and base 12 representation of the numbers are both three-digit numbers? a. 367 b. 368 c. 461 d. 462

How many numbers (in base 10) are there such that base - 8 representation and base 12 representation of the numbers are both three-digit numbers? a. 367 b. 368 c. 461 d. 462 2 han -9 9 172 baan _ 12 12 123-1 144 sll bn -12 1vy = 511-143 = 36 b