Question
How many factors of 23 × 33 ×
54 × 73 are divisible by 50 but not by 100.Solution
50=52×2 100=52×22 23 × 33 × 54 × 73 =52×2×22×52×33×73) =52×33×73 Total factor=3×4×4 =48.
More Divisibility rules Questions
- What number must be subtracted from 66 and 54 such that the resulting numbers are in the ratio 4:3?
À two-digit number decreases by 18 when its both digits are written in reverse order. If unit digit of original number is equal to the unit digit of 22...
- How many numbers between 200 and 1000 are divisible by both 20 and 30?
- Average marks scored by a student in 5 subjects is 75. If average marks scored by him excluding his highest and lowest marks is 60 and highest marks scored...
- The divisor is 25% of the quotient and 5 times the remainder. If the remainder is 4, then what is the dividend?
- The ratio of the number of boys to the number of girls who are present in a class is 3:2. The number of girls who are absent is 15, which is 25% of the tot...
Find the sum of the first 60 natural numbers.
What is the smallest number that must be added to 750, so that it becomes completely divisible by 42?
- Sonal had a total income of Rs. 45000. She spent Rs. 5000 less than the amount she saved. What portion of her income did she spend in percentage?
How many numbers in the range from 150 to 1000 are divisible by 5, 10, and 20?