Puzzle 369

Can you find anagrams of the following words:

BINARY
ABROAD
RASCAL
ALTARS
BADGER
BARKED
MARBLE
UNABLE
TABLET
CALLER

[Ref: ZDVN] © Kevin Stone
Direct Link: www.brainbashers.com?ZDVN

Hint: These are the first letters of the words: B, A, S, A, B, B, R, N, B, C.

Answer: BINARY = BRAINY
ABROAD = ABOARD
RASCAL = SCALAR
ALTARS = ASTRAL
BADGER = BARGED
BARKED = BRAKED
MARBLE = RAMBLE
UNABLE = NEBULA
TABLET = BATTLE
CALLER = CELLAR (or RECALL)

Puzzle 370

A. The year 2013 uses four different digits. Before 2013 when did this last happen?
B. The digits in 2013 form a run of numbers (0, 1, 2, 3). When did this last happen (not necessarily the same digits)?
C. The digits in 2013 form a run of numbers (0, 1, 2, 3). When will this next happen (not necessarily the same digits)?

[Ref: ZWNJ] © Kevin Stone
Direct Link: www.brainbashers.com?ZWNJ

Hint: A. goes back a few years. B. goes back hundreds of years.

Answer:
A. 1987.
B. 1432.
C. 2031.

Puzzle 371

The legendary BrainBashers calendar has had a small problem.
Here is a listing showing the number of days in each month:

January 73
February 83
March 51
April 52
May 31
June 42
July 41
August 63
September ==?==

Using the same rules, how many days are in September?

[Ref: ZJSA] © Kevin Stone
Direct Link: www.brainbashers.com?ZJSA

Hint: The first digit represents something, the second digit represents something else.

Answer: 93.
The first digit is how many letters there are in the word, the second digit is how many vowels there are.

Puzzle 372

If you roll two normal 6-sided dice, the probability of rolling a total of 7 is 1/6.
What would the probability of rolling a total of 7 be if both dice were 7-sided instead?
How about a 8-sided dice? 9-sided? 10-sided?

[Ref: ZBMA]
Direct Link: www.brainbashers.com?ZBMA

Hint: How many possible ways are there to make 7?

Answer: 6/49.

There are 49 possible combinations when rolling two 7-sided dice.

There are still six ways of making a total of 7, therefore the probability is 6/49.

In each scenario, there are still only six ways of making a total of 7, the only thing that changes is the number of possible combinations.

7-sided > 6/49
8-sided > 6/64
9-sided > 6/81
10-sided > 6/100