IPM 2011 Mega Final

An addition question is show besides, the sum is divisible by 3. If the missing middle digit in the top number is A, and the missing middle digit in the answer is B, which of the following can be the values of A and B?

• A = 4 and B = 7

• A = 1 and B = 7

• A = 4 and B = 1

• A = 3 and B = 7

At D.A.V School, students of 4th grade either bring rose or a card on the Teacher's day. There are 100 girls who brought cards and 70 boys who brought roses. There are 160 boys in the 4th grade. If 160 students in all brought roses, then which of the following statement is completely true?

• The number of girls is equal to the number of boys in 4th grade
• The number of boys are less by 20 than the number of girls in 4th grade
• The number of girls are 30 more than the number of boys in 4th grade
• The number of boys are more by 20 than the number of girls in 4th grade

A man has exactly Rs. 15 in his wallet comprising of eight notes of denomination Rs 1, Rs 2 and Rs 5 only. What is the number of Rs. 2 notes in his wallet?

• 2
• 5
• 3
• 4

A typist types the numbers 1 to 1000, how many times did he press the number keys in all?

• 2999
• 2889
• 2893
• 2787

What is the value of M and N if M39048458N is divisible by 8 and 11, where M and N are single digit integers?

• M = 7 and N = 8
• M = 8 and N = 6
• M = 5 and N = 4
• M = 6 and N = 4

When 242 is divided by a certain divisor, the remainder obtained is 8. When 698 is divided by the same divisor, the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?

• 11
• 17
• 13
• 23

How many units of cubes are needed to build this solid figure?

• 27

• 22

• 15

• 19

• 24

• 9

• 14

• 26

In a certain year, there were exactly four Fridays and exactly four Mondays in January. On what day of the week did 20th January fall that year?

• Saturday
• Monday
• Thursday
• Sunday

The odd numbers from 1 through 17 are placed in the magic square, so that the sum of the numbers in each row, column and diagonal are equal. What number can be at 'X' in the box.

• 11

• 7

• 9

• 15