Question
If a ten-digit number 57a61395z2 is divisible by 72, then
find the number of possible values of ‘a’.Solution
ATQ,
Since, the number 57a61395z2 is divisible by 72, therefore it has to be divisible by 8 and 9, individually
If the number is divisible by 8, therefore last three digits should be divisible by 8
Hence, z = 0, 4 and 8
Now, check divisibility by 9
When z = 0, sum of the digits = 47 + a
Hence, a = 2
When z = 4, sum of the digits = 51 + a
Hence, a = 3
When z = 8, sum of the digits = 55 + a
Hence, a = 1
Therefore, number of possible values of a = 3
For which of the following consumption functions, the value of income multiplier, k=4?
Which of the following four-firm concentration ratios is most consistent with perfect competition?
The primary deficit in a government budget will be zero, when _______
Which policy tool is more effective under a fixed exchange rate regime according to the Mundell-Fleming Model?
Refer the following table. How many students scored up to 40 marks?
The level of current inflation is 12% and inflation for the previous year was 6%. The strength of the effect of unemployment on the wages is 1.5. Calcul...
Ability to pay principle is related with?
An economy’s output in year 0 is 10 percent below its maximum potential output and the maximum potential output steadily increases at the rate of 5 pe...
Suppose the wedding dress industry is a perfectly competitive constant cost industry. Suppose also that market demand for wedding dresses is described b...
Which of the following is NOT a postulate of the Classical Model of full-employment equilibrium?