CSAT Practice Questions – Simple Equations

1. The sum of two natural numbers is 100 and their difference is 4. Then what is the difference between their squares?

2. A piece of string is 40 cm long. It is cut into three pieces. The longest piece is three times as long as the middle-sized and the shortest piece is 23 cm shorter than the longest piece. Find the length of the shortest piece.

3. How many pairs of natural numbers are there such that difference between whose squares is 20

4. In an objective type test of 120 questions, 3 marks are allotted for every correct answer and 1 mark is deducted for every wrong answer. After attempting all the 120 questions, a student got a total of 232 marks. What is the number of incorrect responses?

5. The cost of 3 hamburgers, 5 milk shakes and 1 order of fries at a certain fast food restaurant is Rs 1175. At the same restaurant the cost of 5 hamburgers, 9 milk shakes and 1 order of fries is Rs 1975. Then, what is the cost of 2 hamburgers, 2 milk shakes and 2 order of fries at this restaurant?

6. The denominator of a fraction is 4 less than twice the numerator. If the numerator and the denominator are both increased by 2, the fraction becomes 3/4. Find the fraction

7. Out of two thirds of total number of cricket matches, a team has won 17 matches and lost 3. What is the maximum number of more matches the team can lose if they need to win at least three-fourth of the total matches and no match shall end in a tie?