 ## Puzzles3

```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.
```

(a)12345
(b)12489
(c)65292
(d)14567

```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
(c)149578
(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?

```

(a)24/1456
(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.
```

(a)1245678
(b) 1478965
(c) 1622400
(d)1457892

```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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