IPM 2016 Mega Final

When I open my mathematics book, there are two pages which face me and the product of the two page numbers is 1806. What is the sum of the two page numbers?

• 87
• 85
• 45
• 73

A jar filled with water weighs 1 kg. When one-half of the water is poured out, the jar and the remaining water weights 575 gm. How much does the jar weigh?

• 500 gm

• 350 gm

• 150 gm

• 250 gm

A certain number is divisible by 3 and also by 5. When the number is divided by 7, the remainder is 4. What is the smallest three digit number that satisfies these conditions?

• 115
• 165
• 175
• 135

• 3 km

• 30 km

If the series 5, 9, 13, 17, 21,….. is continued, then which of the following numbers given below would appear in this series?

• 6152
• 4065
• 9135
• 3336

Which expression could represent the area of the given figure?

• 2 (8x + 7)

• 21x + 15

• 15x2 + 21x

• 105x2

X, Y and Z are three distinct single digit numbers, satisfying the addition besides. X is not equal to 0. Find the value of the three digit integer XYZ.

• 594

• 495

• 465

• 509

Place each of the digits from 0 to 9 in the boxes without repetition. The greatest sum possible of these numbers will be?

• 10656

• 9876

• 10876

• 9087

In a certain month, three Sundays have fallen on even numbered days. What day of the week was the 20th of that month?

• Sunday
• Thursday
• Monday
• Friday

• 500

• 5

• 50

• 0.05