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.In China of the Tang dynasty unprecedented social chaos prevailed but yet there was a great mathematician and court astronomer who reveled in numerical riddles. In his compilation of such puzzles: the total number of puzzles is equal to the product of the number of puzzles that are classified as easy and extremely difficult. Now: if 1/3 of a number is 6 more than 1/6 of the same number. What is the number in the binary system?

O 10101

O 110

O 100100

O 100101


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The great Indian mathematician Bhaskaracharya formulated this problem in the twelfth century for his teenaged prime number aged daughter Lilavati. He also authored the eponymous Lilavati, a compendium of mathematical puzzles, in which the number of problems that use this formula is the sum of two prime numbers. The product of the two prime numbers is smaller than the total number of problems in the Lilavati. Now if the difference of any two numbers is 6 and their product is 18. what is the sum of their squares?

O 72.00

O 54.00

O 42.00

O 44.00

. When a man weighing SO Kg ru.ns at an average speed of 10 Km1r, his rate of energy dissipation is four times higher than when he runs at an average speed of 3 Km hr. However, when a 60 Kg man runs at 12 Km hr: his rate of energy dissipation is only three times higher than when he runs at an average speed of 6 km hr. If a man walks at 4 mph over a certain journey and jogs back over the same route at 6 mph at an altitude of 200 meters. What is his average speed for the jou.rney in mph?

O 6.00

O 2.40

O 120.00

O 4.80