1.An officer was hired on a contract with a maximum daily wage totaling Rs. 4956. However, due to some days of absence, he received only Rs. 3894. How many days was the officer absent?
2.A man was hired under the agreement that he would receive the highest daily wage. The total contract amount was Rs. 1189, but he was ultimately paid Rs. 1073. How many days did he actually work?
3.When determining the highest common factor (HCF) of two numbers, the final divisor obtained is 41, and the sequence of quotients from the start are 2, 4, and 2. What are the two numbers?
4.What is the smallest perfect square number that is divisible by 21, 36, and 56 without any remainder?
5.The HCF and LCM of two numbers are 12 and 396, respectively. If one of the numbers is 36, what is the other number?
6.Five bells start ringing simultaneously and then continue to ring at intervals of 5, 10, 15, 20, and 25 seconds respectively. After how much time will they all ring together again?
7.What is the smallest five-digit number that is divisible by 12, 15, and 18 without any remainder?
8.Find the smallest number that, when divided by 20, 25, 35, and 40, leaves remainders of 14, 19, 29, and 34 respectively.
9.A pile of coconuts is split into groups of 2, 3, and 5, and in each case, there is exactly one coconut left over. What is the smallest number of coconuts in the pile?
10.What is the smallest number such that when you add 1 to it, the result is divisible by 12, 18, 24, 32, and 40?
11.What is the smallest five-digit number whose highest common factor (HCF) with 144 is exactly 144?
12.What is the largest four-digit number whose highest common factor (HCF) with 144 is exactly 144?
13.What is the smallest four-digit number that is divisible by 4, 6, 8, and 10?
14.What is the largest five-digit number that is exactly divisible by 32, 36, 40, 42, and 48?
15.Two numbers have a product of 2160 and their highest common factor (HCF) is 12. What are these numbers?
16.Four bells start ringing simultaneously and continue to ring at intervals of 8, 10, 12, and 16 seconds respectively. After how many seconds will all four bells ring together again?
17.What is the smallest number that, when reduced by 7, is divisible by 21, 28, 36, and 45?
18.What is the smallest number that, when increased by 3, is exactly divisible by 8, 12, and 18?
19.What is the smallest number that, when divided by 8, 12, and 16, leaves a remainder of 3 in each case?
20.What is the smallest perfect square that exactly divides the numbers 8, 12, and 18?