Question : If the 8-digit number 123456xy is divisible by 8, then the total possible pairs of (x, y) are:
Option 1: 8
Option 2: 13
Option 3: 10
Option 4: 11
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Correct Answer: 13
Solution : Given: 123456xy is divisible by 8 Let us take the last 3 digits. So, 6xy is divided by 8. The numbers which divide 8 from 600 to 700 are: 600, 608, 616, 624, 632, 640, 648, 656, 664, 672, 680, 688, 696. Hence, the correct answer is 13.
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Question : If $(x-\frac{1}{3})^2+(y-4)^2=0$, then what is the value of $\frac{y+x}{y-x}$?
Question : If the nine-digit number 3422213AB is divisible by 99, then what is the value of 2A + B?
Question : $\text { If } x^2+y^2+z^2=x y+y z+z x \text { and } x=1 \text {, then find the value of } \frac{10 x^4+5 y^4+7 z^4}{13 x^2 y^2+6 y^2 z^2+3 z^2 x^2}$.
Question : An 11-digit number 7823326867X is divisible by 18. What is the value of X?
Question : If the five-digit number 235xy is divisible by 3,7 and 11, then what is the value of (3x - 4y)?
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