MBA Exam Verbal Ability Miscellaneous

let Sm denote the sum of the squares of first m natural numbers.For how many values of m <100 , is Sm a multiple of 4 ?For how many values of m <100 , is Sm a multiple of 4Question: For the above question , for how many values will the sum of cubes of first m natural numbers be amultiple of 5 ( if m < 50 )?

1) 20
2) 21
3) 22
4) None of these

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Divisible by 4 will be 24 (12=12)
and divisible by 5 will be 27(9+9+9)
9 years agoHelpfull: Yes(0) No(0)

MBA Other Question

There is a tank of capacity 165 litres. it has N taps numbered from 1-N. At the start of the t^th minute where 1<_t<_N the tap numbered t which fills the tank at t litres/min is opened. If it takes exactly N min to fill the tank then find N?

1) 8
2) 9
3) 7
4) 10
Q . IF 15X^2 + 8Y^2 DIVIDED BY 22 = XY AND X,Y ARE TWO NOS BELONGING TO THE SET OF THE FIRST 100 NATURAL NOS , HOW MANY DISTINCT ORDERED PAIRS (X,Y) ARE POSSIBLE ? no

1) 53
2) 50
3) 47
4) 41