The answer is 27.  Once you assume that 9 is twice 5, you conclude that 5 = 4.5 (9/2).  Therefore, 6 times 4.5 is 27.

They were 95 miles apart 30 minutes before the two trains crossed each other.

Since one train is traveling at 105 MPH, and the other at 85 MPH, the relative speed is 190 MPH (105 + 85).  One hour (or 60 minutes) before they crossed, they would have been 190 miles apart.  Since the question asked how far away they were 30 minutes before they crossed, then it would be half that distance, or 95 miles.

1349

Option “C” is the answer: three statements are false.  Since each statement concludes that there is a different number of false statements, that proves that only one statement can be correct (hence the object is to decide which statement is true).  Given that one statement is true, by definition, the other three must be false!

Three socks and four shoes would guarantee that you would have a matching pair of each.  Since there are only two colors of socks, it doesn’t matter how many are in the heap, as long as you take at least three, you are certain to have two of the same.  As for the shoes, you must pick four, because selecting only three could result in one shoe in each of the three colors!

The milkman filled the three gallon jug, and then emptied the contents into the five gallon jug.  He then filled the three gallon jug again, and continued to fill the five gallon jug until it was full.  The milk remaining in the three gallon jug was precisely one gallon.

The fore wheel is 8 feet in circumference and the hind wheel 12 feet.

Just one look at the number 999919 and we know that it cannot be a prime number. And if the problem has to have only one answer, this number can have only two factors. The factors are 991 and 1009. both of which are primes. We know that each cat killed more mice than there were cats, and,therefore,the correct answer, clearly, is that …… 991 cats killed 1009 mice.

No It cannot be done. Each rectangle covers one white square and one black square, because on a chess board the white and black squares are always adjacent…..The two squares which we remove from the chess board are of the same colour, and so the remaining board has two more boxes of one colour than the other. And after the rectangles have covered 60 boxes, there will be left two squares of the same colour…… Obviously the remaining rectangle cannot cover these two squares.