IPM 2014 Mega Final

In a two by two multiplication square, the numbers outside the square are the product of the numbers inside the square horizontally and vertically. In the same way, using the digits 1 to 9, each only once complete the three by three multiplication square and find the sum of the digits represented by A, B and C.

• 12

• 15

• 21

• 17

• 18

• 9

• 6

• 3

The smallest number divisible by 5, 7 and 20 is:

• 105
• 280
• 135
• 140

When a natural number is divided by another natural number the answer was 3.125. If both the natural numbers were less than 50, then which of the following could be the sum of these natural numbers?

• 17
• 33
• 41
• 22

On the first day of the school, every student of class IV shook hands with each other student. If there were in all 14 students in class IV, how many handshakes took place?

• 91
• 140
• 182
• 196

What is the sum of all those natural numbers which when added to 29 gives a two digit square number?

• 107
• 79
• 114
• 62

A rectangle is formed by placing two square of equal size as shown. If the perimeter of the rectangle is 42 cm, then its area would be?

• 84 sq. cm

• 98 sq. cm

• 21 sq. cm

• 42 sq. cm

What greatest same digit need to replace the ♣ in the number 67♣♣4, so that it is divisible by 12?

• 5
• 9
• 2
• 8

A water tank can hold 162 liters of water. Jay pours 9 buckets of water into the tank and leaves for work. If each bucket can contain 4 jugs of water and a jug contains one and a half liter of water, then Jay's wife will require to pour how many buckets to fill the tank?

• 9
• 12
• 18
• 24

A Roman company began in the year MCDXLIX and closed in the year MDCLXV. How long did the company operate?

• CCXVI
• CDVI
• MMVI
• DCLXVI