Q1)There is a safe with a 5 digit number as the key. The 4th digit is
4 greater than the second digit, while the 3rd digit is 3 less than
the 2nd digit. The 1st digit is thrice the last digit. There are 3
pairs whose sum is 11.
Find the number.



Q2)Find the smallest number such that if its rightmost digit is placed
at its left end, the new number so formed is precisely 50% larger
than the original number.

(a) 285714.
(b) 451267
(d) 145978


Q3)Two identical pack of cards A and B are shuffled throughly. One
card is picked from A and shuffled with B. The top card from
pack A is turned up. If this is the Queen of Hearts, what are the
chances that the top card in B will be the King of Hearts?

(b)52 / 2703
(c) 14/1246
(d) 87/1647


Q4)There is a 4-character code, with 2 of them being letters and the
other 2 being numbers.
How many maximum attempts would be necessary to find the
correct code? Note that the code is case-sensitive.

(b) 1478965
(c) 1622400


Q5)In a hotel, rooms are numbered from 101 to 550. A room is
chosen at random. What is the probability that room number
starts with 1, 2 or 3 and ends with 4, 5 or 6?

(a)320 rooms
(b)450 rooms
(c)110 rooms
(d)100 rooms


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