IMO- Mathematics Olympiad Class 8: Questions 809 - 814 of 1029

Find the length of the longest pole that can be placed in a room 11 m long, 6 m broad and 8 m high.

Mansi gets 3 marks for each correct answer and loses 1 marks for each wrong answer. He attempts 100 problems and obtains 60 marks. The number of problem incorrect is________.

On the April 1, 2012 Megha’s salary increased from Rs. 10, 000 to Rs. 16, 000. Simultaneously the rate of income tax decreased by 37.5%. So the amount of income tax paid by Megha remains constant, what is the amount of income tax paid by her?

Two bills of Rs. 6075 and Rs. 8505 respectively are to be paid by cheques of the same amount. What will be the largest possible amount of each cheque?

Reena correctly answered 40 % of the questions in a maths test contained exactly 60 questions. How many of the questions did he answer incorrectly?

Amit wrongly answered 30 % of the questions in a chemistry test contained exactly 100 questions. How many of the questions did he answer correctly?