Whole numbers, integers, place value, divisibility, HCF and LCM.
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Q1 · Number System · EASY
A number is divisible by 9 if the sum of its digits is divisible by 9. What is the smallest digit that can replace * in the number 45*8 so that it becomes divisible by 9?
Q2 · Number System · MEDIUM
The HCF of two numbers is 12 and their LCM is 180. If one of the numbers is 36, what is the other number?
Q3 · Number System · HARD
In a four-digit number, the digit in the thousands place is twice the digit in the ones place, the digit in the hundreds place is 3 more than the digit in the tens place, and the digit in the tens place is 2. If the sum of all digits is 14, what is the digit in the thousands place?
Q4 · Number System · MEDIUM
What is the greatest 3-digit number that leaves a remainder of 3 when divided by 7?
Q5 · Number System · MEDIUM
The product of two consecutive even integers is 168. What is the sum of these two integers?