IPM 2013 Mega Final

Eshan draws the six vertices of a regular hexagon and then connects some of the 6 points with lines to obtain a geometric figure. Then which of the following figure cannot be obtained surely?

• Trapezium

• Right angled triangle

• Obtuse angled triangle

• Square

A student writes seven consecutive natural numbers and the sum of the smallest three number is 33, which of the following is the sum of the largest three numbers?

• 42
• 45
• 48
• 39

The perimeter of the figure is equal to which of the following expression

• 3a + 4 b

• 3a + 8b

• 6a + 6b

• 6a + 8b

In which of the following, the fractions are in the descending order of their values?

A rectangular pattern on a wall was created with two kinds of tiles: solids and stripes.

Some tiles have fallen off the wall as shown in the picture besides. How many solid tiles have fallen off?

• 8

• 9

• 7

• 6

• 192⁰ F

• 212⁰ F

• 132⁰ F

• 932⁰ F

An electronic digital watch shows 20:07. What time should pass at the earliest after which the same digits appear again in a different order?

• 4 hr 20 min
• 6 hr
• 10 hr 55 min
• 24 hr

Find the number in place of ♣ in the following:

1000000 ÷ 1000 = 10000 ÷ ♣

• 1000

• 100

• 10

• None of these

A square garden was divided into four parts: Pool (P), Flower bed (F), Lawn (L) and Sandbox (S). See the picture besides. The lawn and the flower bed are squares, the perimeter of the lawn is 20m and of the flower bed is 12 m, what is the perimeter of the pool?

• 16 m

• 8 m

• 14 m

• None of these

In the year, 2012, Mrs. Gokhale celebrated her 20th marriage anniversary on the 153rd day of the year. On which of the following dates did she marry?

• 10th June 1992
• 10th June 1991
• 11th June 1992
• 15th July 1992