Numbers
Practice Questions on Number System
| Q29) The difference between a positive fraction and its reciprocal is 5/6. The fraction is: 1) 3/2 2) 2/15 3) 4/5 4) 2/3
Let the required fraction be y.  Hence, Option 1. Q30) On dividing a number by 24 remainder obtained is 11. What is the remainder when the same number is divided by 11. 1) 2 2) 5 3) 0 4) Cannot be determined
As 24 is not divisible by 11, so we cannot solve this question. Hence, option 4. Q31) A 3-digit number 5a2 is added to another 3-digit number 764 to give a 4-digit number 12b6, which is divisible by 11. Then (a + b) = ? 1) 7 2) 8 3) 10 4) 9
5a2 + 764 = 12b6 a + 6 = b As, 12b6 is divisible by 11 so, 7 - b = 0 i.e. b = 7 a + 6 = 7 i.e. a = 1 a + b = 8 Hence, option 2. Q32) On dividing a number by 24 remainder obtained is 11. What is the remainder when the same number is divided by 8. 1) 0 2) 5 3) 1 4) 3
As 24 is divisible by 8, so required remainder is 3 (Remainder obtained on dividing 11 by 8). Hence, option 4. Q33) The number of employees in a company is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be: 1) 87:100 2) 110:111 3) 85:98 4) 97:84
In such questions it is always adviseable to check options. Number of employees in the company is a prime number and is less than 300. Option 1: Total employees are 187. 187 is not a prime number. Option 2: Total employees are 221. 221 is not a prime number. Option 3: Total employees are 183. 183 is not a prime number. Option 4: Total employees are 181. 181 is a prime number. Hence, option 4. |