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If square tiles are to be fitted on a square floor in such a way that the floor looks the same from all the sides. The tiles are available in 6 different colors. In how many ways can the floor be made if it should have maximum possible colors?

1296

60

256

360

None of these

Let x, y be distinct positive reals. Determine the minimum value of and determine when that minimum occurs.

6

3

5

4

Find the largest value for for pairs of real numbers (x, y) which satisfy

Find the number of pairs (x,y) of integers such that

0

2

1

Find the number of real roots

More than 3

What is the sum of the smallest and the largest number of Fridays the 13th that can occur in any year ?

How many 3-digit numbers are such that one of the digits is the average of the other two?

112

120

104

96

Four Equilateral triangles are formed taking one of their sides as the sides of the square, the third vertices of equilateral triangles being inside the square. The ratio of the area of fig formed by the third vertices of the triangles to that of the square is nearly

1/2

1/4

.54

.27

A parking lot has 16 spaces in a row. Twelve cars arrive, each of which requires one parking space, and their drivers chose spaces at random from among the available spaces. Auntie Em then arrives in her SUV, which requires 2 adjacent spaces. What is the probability that she is able to park?

137/280

143/280

17/28

11/28

Let b be an odd square and n be any natural number. Then Find b?

81

49

441

9

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