MBA Exam Numerical Ability Data Sufficiency

333^555 + 555^333 is divisible by?

1) 2
2) 3
3) 37
4) 111
5) All of these

Read Solution (Total 1)

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The last digit of 333555 will be odd, and the last digit of 555333 will be odd.
odd + odd Þ even
So, the last digit is even, which is divisible by 2.
Both the numbers are individually divisible by 3. So 333555 + 555333 is divisible by 3.
And similarly, both the numbers are divisible by 37, so, 333555 + 555333 is divisible by 37.
Hence this expression is divisible by all three numbers. Answer : (4)
Note : If the number consists of same in the multiples of 3, then it is always a multiple of 37
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MBA Other Question

There were two escalators (moving stairways) in a mall, with the same number of steps, the first one moving up and the second moving down at the same speed. Ram and Sameer walk up the first escalator at their respective uniform speeds. Ram took 2 steps in the time that Sameer took one. Ram and Sameer reached the top of the escalator after taking 30 steps and 20 steps respectively. Ram then started to walk down the second escalator. At the same time, Tarun started to walk up the second escalator at twice Ram's speed. How many steps would Tarun take before meeting Sameer?

1) 20
2) 24
3) 40
4) 48
'xyzw' is a 4 digit number where 'x' is even, 'y' is smallest odd number. 'z' is largest prime number possible and 'w' is a multiple of 3. if 'xyzw+n' is divisible by 11, then n cannot be:

1) 6711
2) 6717
3) 9711
4) 9717