IPM Mega Final 2009

An aeroplane started flying at 7:45 a.m. and landed after 10 hours 21 minutes. What was the time when it landed?

• 5:56 p.m.
• 6:10 p.m.
• 6:06 p.m.
• 5:36 p.m.

A few boys are playing with their dogs in the backyard. The total number of legs when counted is 30. From the given alternatives, which cannot be the number of boys and dogs playing in the backyard?

• 5 boys & 5 dogs
• 3 boys & 6 dogs
• 7 boys & 4 dogs
• 4 boys & 6 dogs

The digits 1, 2, 3, 4 and 9 are each used once to form the smallest possible five digit even number. The digit in the tens place of that five digit number is?

• 9
• 4
• 2
• 1

A mango can be exchanged for three apples. An apple can be exchanges for 2 bananas. A banana can be exchanged for 3 strawberries. In this way, how many strawberries will be required to get 2 mangoes?

• 18
• 9
• 36
• 24

In a class, there are 60 students. Their roll numbers begin from 1 and end at 60. The class teacher says, "All students having their roll numbers divisible by 6, 8 or 12 will go to the playground and the remaining will go to the library. How many students will go to the library?

• 22
• 45
• 38
• 43

Point S is shown on the number line. Which fraction best represents the point S on the number line?

A teacher writes the following number sentence on the board, 15 / 3 = □. Which of the following is another way to write the above number sentence.

• 15 + □ = 3
• 15 x □ = 3
• 3 + □ = 15
• 3 x □ = 15

Three brothers: Prasad, Shivam and Vishal have Rs. 520 in all. Mother takes Rs. 90 from Prasad and Rs. 45 from Shivam and gives Rs. 5 to Vishal. Now all of the three have equal amount. What amount did Shivam have before his mother took Rs. 45 from him?

• Rs. 175
• Rs. 225
• Rs. 150
• Rs. 140

A bucket can hold 8 litres of water and a jug can hold 400 ml. of water. To fill the bucket by this jug, how many jugs of water will have to be poured into the bucket?

• 25
• 200
• 20
• 250

A student is asked to write all even numbers between 1 to 100. And you are asked to count the number of times the digit 7 is used. What would be your answer?

• 19
• 5
• 20
• 0