Question
A number divided by 84 leaves a remainder of 25. What will
be the remainder if this number is divided by 12?Solution
ATQ,
Let the number be (84x + 25)
We know that 84 is divisible by 12, so 84x will be divisible by 12 as well.
25 = 12 × 2 + 1
Remainder when 25 is divided by 12 = 1
So, required remainder = 1
Determine the highest possible value of (x + y) if the number '3x725y4' is divisible by 12.
The product of two positive values is 81 times the product of the first value and the reciprocal of the second value. A third value is 50% more than the...
How many integers between 100 and 999 have all digits distinct?
The number of present boys to girls is in the ratio 2:1. If 15 girls are absent and they form 25% of the total class, and no boy is absent, then find th...
The sum of a positive number 'A' and its square is 90. Find the value of (A2 - 7A).
Let ‘x’ be the least number divisible by 9, 12, 16, 18 and 20, and also ‘x’ is a perfect square. Find the remainder when ‘x’ is divided by 9...
A student was required to calculate 9/20 of a number, but by mistake he calculated 11/20 of it. His answer exceeded the correct one by 65. Find the number.
- What should be subtracted from (5/12) so that it becomes (1/8)?
- A number when divided by 187 leaves a remainder of 28. What is the remainder when the same number is divided by 11?
0! +1! +2! +3!........+98! What will be the remainder when divided by 5?
Relevant for Exams:
