Question
Find the largest four-digit number which when divided
by 5, 7, 9, and 12, leaves a remainder 2, 4, 6, and 9 respectively.Solution
Here we can see that the difference (3) between numbers and remainder is same along all four numbers. 5 = 5¹
7 = 7¹
9 = 3²
12 = 2² × 3¹ LCM of (5, 7, 9, 12) = 2² × 3² × 5 × 7
= 4 × 9 × 5 × 7
= 1260 Largest four-digit number which is a multiple of 1260 = 8,820 So, the required number = 8820 − 3 = 8,817
More No. System Questions
Let X and Y be two related variables. The two regression lines are given by x-y+1=0 and 2x-y+4=0. The two regression lines pass through the point:
Of 10 computer chips, 4 are defective. What is the probability of selecting 3 without replacement, only one of which is defective?
Calculate Personal Income:
