IPM 2015 Mega Final

What is the smallest prime number that is the sum of three different prime numbers?

• 11
• 15
• 19
• 17

Which of the following is divisible by all the integers from 1 to 10 inclusive?

• 23 x 34
• 45 x 56
• 34 x 45
• 56 x 35

Find the greatest two digit number which leaves a remainder of 3 when divided by both 5 and 7?

• 98
• 93
• 87
• 73

The product of two 2 digit number is 2730 as shown. The letters F and L represents different digits from 1 to 9. What could be the different between the two 2 digit numbers?

• 33

• 43

• 38

• 48

The six faces of the dice are numbered 1 to 6. Two such dice are dropped on the table and the total of the numbers visible on both the dices is 35. What is the greatest product the numbers facing the table have?

• 12
• 10
• 36
• 30

A machine cracks open 180000 walnuts per hour. How many walnuts is that per second?

• 180
• 36
• 50
• 360

What is the value of 1 - 0.2 + 0.03 - 0.004 ?

• 0.834
• 0.826
• 0.926
• 1.234

In a certain year, January had exactly four Tuesdays and four Saturdays. On what day did January 31 fall that year?

• Wednesday
• Thursday
• Friday
• Monday

What is the value of x in the given triangle?

• 55

• 60

• 115

• 50