Question
Find the largest 5-digit number that is divisible by 12,
15, 18, and 24. Also, what is the remainder when this number is divided by 11?Solution
Step 1: Find the Least Common Multiple (LCM) of 12, 15, 18, and 24. Prime factorization: 12 = 2² × 3 15 = 3 × 5 18 = 2 × 3² 24 = 2³ × 3 LCM = 2³ × 3² × 5 = 360. Step 2: Find the largest 5-digit number divisible by 360. The largest 5-digit number is 99999. Divide 99999 by 360: 99999 ÷ 360 = 277.77 (take the integer part, 277). Multiply 277 by 360: 277 × 360 = 99720. Step 3: Find the remainder when 99720 is divided by 11. 99720 ÷ 11 = 9065, remainder 5. Correct Option: d
Current age of ‘A’ is 20% more than that of ‘B’. 5 years ago, the ratio of the ages of ‘A’ and ‘C’ was 5:6. If the total of current ages...
The ratio of the present ages of father and his son is 9:5. The product of their ages 3 years ago was 33 times of his son’s age that year. What wa...
The average of the current ages of Armaan, Biju, Chinky, and Danny is 31 years. Two years from now, the average age of Armaan and Biju will be 22 years....
Eight years ago, the ratio of the ages of A to B was 7:5. Currently, the average age of A, B, and C is 48 years. Twenty years from now, C will be 16 yea...
After 7 years, the age of Reena will be 5 years less than 3 times of her age, 4 years back. What is Reena’s present age?
At present, Naveen is six years younger than Mohit. Mohit’s age fifteen years hence will be equal to thrice that of Naveen three years ago. What w...
- Present age of ‘R’ is 30% more than that of ‘S’. 4 years ago, ‘R’ was 1.6 times as old as ‘S’. Find the present age of ‘S’.
A lad was asked his age by his friend. The lad said “The number you get when you subtract 25 times my age from twice the square of my age will be thri...
What is A's present age, if after 25 years his age will be 15 times his age 10 years back?
- Age of Riya, 8 years hence from now will be 50 years. Ratio of ages of Rahul and Riya, three years ago from now was 20:35, respectively. If the present age...
