Question
Which of the following numbers is divisible by
22?ÂSolution
1. Checking 645372: Divisibility by 2: 645372 is even (last digit is 2) ⇒ Divisible by 2 Divisibility by 11: Sum of digits at odd places = 6 + 5 + 7 = 18 Sum of digits at even places = 4 + 3 + 2 = 9 Difference = 18 - 9 = 9 (Not Divisible by 11) ⇒ Not Divisible by 11 645372 is divisible by 22. 2. Checking 893002: Divisibility by 2: 893002 is even (last digit is 2) ⇒ Divisible by 2 Divisibility by 11: Sum of digits at odd places = 8 + 3 + 0 = 11 Sum of digits at even places = 9 + 0 + 2 = 11 Difference = 11 - 11 = 0 (Divisible by 11) ⇒ Divisible by 11 893002 is divisible by 22. 3. Checking 654320: Divisibility by 2: 654320 is even (last digit is 0) ⇒ Divisible by 2 Divisibility by 11: Sum of digits at odd places = 6 + 4 + 2 = 12 Sum of digits at even places = 5 + 3 + 0 = 8 Difference = 12 - 8 = 4 (Not divisible by 11) ⇒ Not divisible by 11 654320 is not divisible by 22. 4. Checking 602351: Divisibility by 2: 602351 is odd (last digit is 1) ⇒ Not divisible by 2 602351 is not divisible by 22. Correct Option: 1 (893002)
In a vessel, the ratio of milk to water is 3:2. 40 litres of mixture is taken out and 20 litres of water is added to the remaining mixture so that the q...
Mixtures A and B contain milk and water in the ratios 5:3 and 7:4 respectively. When they are blended, the total volume of the mixture is 0.65 litres, a...
- Two metal alloys 'M' and 'N' have gold and silver in the ratio of 5:2 and 7:3 respectively. If 112 grams of M and 150 grams of N are mixed together, then f...
110 litres of mixture contains water and milk in the ratio 2:5 respectively. If 26 litres of the mixture is replaced by same quantity of water, then fin...
A mixture contains 90% milk and rest water. A man withdrew some mixture and replaced it with same quantity of kerosene, such that the quantity of milk r...
A container initially contains 40 liters of petrol and an unknown quantity of diesel. Then 25% of the mixture is removed and poured into another contain...
Quantity of water in a 280 litres mixture (Milk + Water) is 40 litres less than the quantity of milk in it. Find the quantity of water to be mixed so th...
A 480 ml mixture has milk and honey in the ratio 7:h. After adding 96 ml of milk and 24 ml of honey to this mixture, the ratio of...
378 ml of mixture ‘A’ contains milk and water in the ratio 4:5 respectively. If the quantity of milk in mixture ‘B’ is 37.5% mor...
In a 120-litre chemical mixture, the chemicals A and B are in the ratio 5:7. How much of chemical A must be added to make the ratio 7:7 (i.e., equal amo...
Relevant for Exams:
