MBA Exam

For a positive integer n, let Pn denote the product of the digits of n, and Sn denote the sum of the digits of n. The number of integers between 10 and 1000 for which Pn + Sn = n is:
[CAT 2005]

1) 81
2) 16
3) 18
4) 9

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MBA Other Question

2^10^20^30/11+3^18^36^44^64/19-5^22^33^44/23

1) 4
2) 8
3) 3
4) 4
5) None of these
Vickie is expecting a baby. She must pick two given names (in order)
for her child from the names she is considering. Girls' names being
considered are Rachel, Jessye, Faith and Kate. Boys' names are Jason,
Brent and Grant. She is also considering the name Sandy for both a girl
or a boy. How many ways of naming the child are being considered?

1) 20
2) 9
3) 8
4) 7