Question : The number of factors of 196 which are divisible by 4 is:
Option 1: 228
Option 2: 4
Option 3: 57
Option 4: 3
Correct Answer: 3
Solution : The number of factors of 196 = 2 × 2 × 7 × 7 2 × 2 = 4 is divisible by 4. 2 × 2 × 7 = 28 is divisible by 4. 2 × 2 × 7 × 7 = 196 is divisible by 4. So, the required number is 3. Hence, the correct answer is 3.
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Question : The number 1563241234351 is:
Option 1: divisible by 11 but not by 3
Option 2: neither divisible by 3 nor by 11
Option 3: divisible by both 3 and 11
Option 4: divisible by 3 but not by 11
Question : A six-digit number 763254 is divisible by 18. If we subtract five times of 41 from the number, then the new number which is formed will be divisible by:
Option 1: 2
Option 2: 7
Option 3: 5
Question : The largest six-digit number is divisible by 198, if the digits are rearranged, even then the number will be divisible by:
Option 1: 3
Option 2: 6
Option 3: 2
Option 4: 66
Question : The number 150328 is divisible by 23. If the digits are rearranged in descending order and five times of 13 is subtracted from the new number thus formed, then the resultant number will be divisible by:
Option 2: 5
Option 3: 11
Option 4: 2
Question : If the number 6336633P is divisible by 132, then the value of P is:
Option 1: 4
Option 2: 2
Option 3: 3
Option 4: 6
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