number pairs

Consider the pair of numbers (28,168) and (26,132).If you divide the product of two numbers in any pair by the sum of those two numbers, you will get the same result in in each case.
Take the first pair (28,168). Product = 28 x 168 = 4704.Sum = 28 + 168 = 196.
                                           Product /Sum =4704/196 =24.
Take the second pair (26,312). Product = 26 x 312 =8112. Sum =26 + 312 = 338.
                                                Product/Sum =8112/338 = 24.

We get same result  24 in both the cases.Now, can you suggest any other pair of numbers so that product of two numbers when divided by the sum of two numbers leaves 24 as answer?

perfect square number

A,B,C and D represents four different digits. Find the values A,B,C and D if each of 5AABBCCAA and AABBDDCC5 is a perfect square number.

smallest number 4

Find the smallest number which when divided by 6183,5724 and 7812 leaves 3816,4275 and 2187 respectively as remainders.

square deal 2

There are three square size card boards of sides 18 cms, 24 cms and 40 cms.
Cut each of the card boards in to two identical parts in such a way that all six
pieces can be arranged to form one larger square.

NOTE: 18x18+24x24+40x40=50x50.

musical instrument

Five pairs of words are given below.

1.CAST     NEAT

2.MOLE   DONE

3.RENT    BOOM

4.GIRL     VAIN

5.LIEN     CART  

Rearrange the letters in each pair of words
to form a musical instrument.

addition 4

In the figure given below,each of letters B,G,M,A,D,E,W,N and T represents a different digit.

No letter represents  0.

What is the value of D ,if M+A+D=B+A+N=D+E+W=G+E+T=17 ?

           

magic square 5

  Forty five of the numbers from 1 to 81 have been placed in the 9x9

  grid given below.

	12		60		74		37
30	40	53		11		55	68	81
	71		29		52		18
15		2		73		44		31
	47		10	23	9		76
65		61		54		13		3
	1		80		67		34
46	32	45		4		79	56	69
	63		49		39		6

                                                magic square 9x9

Place the remaining numbers in the blank spaces in such a way that sum of nine numbers in every horizontal row, every vertical column, every 3x3 box and each corner to corner diagonal is 369.