A puzzle for kids

A puzzle for kidsSham S. Misri

Three guests give the waiter a $10 bill each in payment of a $28 dinner check. Immediately thereafter they recall the waiter and complain that the check was too high. The waiter agrees to reduce it to $25. He returns to them five $1 bills in change. Each diner takes a $1 bill and tells the waiter to keep the remaining $2.

            Thus the dinner cost each diner $9 total = $27

                                                                        Tip= $2                       

                                                                     Total = $29

Since they had given the waiter $10 each, there is one dollar apparently unaccounted for. The question is, where did $1 go?

S. S. Misri‘s solution:

The apparent loss is $1 is due to an error in accounting practice.

The valid accounting would be as follows:

Cost of dinner for 3 persons = $ 25.00

                  Change to diners = $3

                                        Tip = $2

                                     Total = $30

By reverse accounting:

The dollar 2 tip is twice accounted for; once in the $29.00 figure and second time in the $27.00

What should be the pattern?

1, 8, 27, 64...

Sham S. Misri

1, 8, 27, 64...

Solution:

Take factors:

1= 1. 1. 1 = 1³

8= 2. 2. 2 =2³

27= 3. 3. 3= 3³

64= 4. 4. 4. = 4³

^{Therefore the pattern is} one cube, two cubes, three cubes, four cubes and so on.

*This question was put to me by Parum of 4^th grade on 12^th Nov. 2012.

Thank you.

Puzzle K-4

Sham S. Misri

Shivam Nautiyal

Question: this question is used to see the mental and logical thinking of humans.

A bat and a ball together cost one $1.10.  If the bat cost $1 more than the ball, what is the price of each? [First work out in ten seconds; then take your time to work out the answer and see which one is correct.]

Solution

Bat and ball together cost = $1.10

The bat, as you already know, costs $1 more than the ball.

Now using the information above you can find their costs using algebraic equations. 

Let’s denote the ball as x and bat as y and carry out the equations.

x + y = $1.10

Or x + ($1 + x) = $1.10

Or 2x + $1 = $1.10

Or 2x = $1.10 - $1

Or 2x = $0.10

Or x = $0.05

Therefore, the ball costs $0.05 and the bat costs $1.05.

What is unique about the number 4?

Sham S. Misri

i)                    It is the only number which is spelled with the same number of letters as its numerical value.

                                                F-O-U-R

ii)                  To the nearest one, four is the average temperature of the oceans in degrees Celsius.

iii)                 Water has the maximum density at 4⁰ Centigrade.

Puzzle K-2 (For Kids) 02-06-2013

Sham.s.Misri

Shivam

In these questions, the three numbers in each group below are related in the same way. 

The first two brackets have been done for you. Find the rule that connects the three numbers in each bracket, and use the rule to find the umber in the third bracket.

Q.1 (7 [17] 12)    (23 [53] 32)

              

                (45[?] 35)

   Q.2 (4 [27] 8)      (5 [25] 6)

              (12 [?] 8)  

Solve the puzzle… if you can. Answers given on 03-06-2013

Puzzle K-1 ( For kids)

Sham S. Misri

Shivam

In these questions, the three numbers in each group below are related in the same way. The first two brackets have been completed for you.

Find the rule that connects the number in the first two brackets and then use this rule to find the missing number in the third group. Good luck!

Q1.      (6 [ 14 ] 4)    (10 [ 26 ] 8)

(14 [ ? ] 10)

Q2.      (2 [ 6 ] 10)    (3 [ 7 ] 11)

(11 [ ? ] 19)

(Find the answers… if you can!) Solution will be given in the Blog dated 1^st June 2013.