Question : What is the greatest four-digit number which when divided by 3 and 4 leaves remainder 2 in each case?

Option 1: 9994

Option 2: 9996

Option 3: 9998

Option 4: 9995

Question : Which is the smallest three-digit number which when increased by 5 becomes divisible by both 2 and 3?

Option 1: 102

Option 2: 105

Option 3: 103

Option 4: 108

Question : If the number formed by the last two digits of a three-digit integer is an integral multiple of 6, the original integer itself will always be divisible by:

Option 1: 6

Option 2: 3

Option 3: 2

Option 4: 4

Question : The ratio of a two-digit number and the sum of the digits of that number is 4 : 1. If the digit at the unit's place is 3 more than the digit at the ten's place, then the number is:

Option 1: $47$

Option 2: $69$

Option 3: $36$

Option 4: $25$

Question : The average of three numbers of which the greatest is 16 is 12. If the smallest is half of the greatest, the remaining number is:

Option 1: 12

Option 2: 8

Option 3: 14

Option 4: 10