Among 100 people who are being interviewed, 68 like music and 75 like sports. How many people like both music and sports ?

How many numbers ranging from 1 to 100 are not multiplies of 3 and not divisible by 7 ?

30 out of a group of 40 students completed their mathematics homework. 25 students completed their science homework.

How many students completed both homework ?

A staircase has 10 steps. How many ways are there for Tommy to walk from the first step to the 10^th step if either 2 or 3 steps are taken each time ?

A survey was made on 250 studens on their preferred school activities: badminton, volleyball and basketball. 140 of them liked badminton, 120 of them liked volleyball and 100 of them liked basketball. 40 of them liked both badminton and volleyball but not basketball. 20 of them liked badminton and basketball but not volleyball. How many liked both volleyball and basketball but not badminton, given 10 liked all three activities ?

Among 64 students, 28 of them like Science, 41 like Mathematics and 20 like English. 24 of them like both Mathematics and English. 12 students like both Science and English. 10 students like both Science and Mathematics. How many students like all the three subjects ?

A hostel has 22 rooms to accommodate 124 students. 4 students can stay in a small room. A big room can accommodate 7 students. How many small rooms are there in the hostel ?

A test consists of 50 questions. Each question carries 2 marks. 1 mark is deducted for every wrong answer. Howard scores 85 in this test. How many questions does he answer correctly ?

A single-trip ticket costs 12 dollars. A two-way ticket for the same trip costs 18 dollars. Mr Frost pays 114 dollars in all for 8 tickets. Find the number of two-day tickets that he guys.

A small boat can carry 4 students. A big boat can carry 6 students. A teacher hires 11 boats to carry 52 students for a river excursion. How many big boats are there ?

A bus ticket to Town A cost 25 dollars. A bus ticket to Town B cost 36 dollars. Angeline paid 555 dollars in total for 20 such bus tickets. How many of these bus tickets were to Town A ?

There are 60 cars and trucks in a car park. They have a total of 312 wheels. How many trucks are there if each truck has 6 wheels ?

A farmer has 100 rabbits and chickens. The animals have 320 legs altogether. How many rabbits are there ?

A quiz consists of 15 questions. 8 marks are awarded for each correct answer. 4 marks are deducted if the answer is wrong. Melanie scores 84 marks in the quiz. How many questions has she answered wrongly ?

100 game cards are given to 16 children. Some of the children receive 4 game cards each while the rest receive 8 game cards each. How many children have received 4 game cards ?