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The six digit number 21p53q4 is divisible by 44 .The number of combination of p and q that satisfy the above condition is

The six digit number 21p53q4 is divisible by 44 .The number of combination of p and q that satisfy the above condition is

Grade:11

1 Answers

Manish Tiwari
86 Points
6 years ago
Hello,N=21P53Q4If a number is divisible by 44 it means it is divisible by 4 and divisible by 11.Now applying divisibility rules-So, Q4 is divisible by 4. so, Q is an even number.N is divisible by 11.So, P + 9 - Q-6 = 0So, Q -P = 3As Q is even number, Q = 0,2,4,6,8As 0,2 are less than 3, hence they cant be considered.So, Q = 4,6,8 and P = 1,3,5So, ordered pairs are (1,4),(3,6),(5,8).Hope it helps!

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