Free Quantitative Reasoning MCQs with Answers

111. 210 oranges and 252 apples are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?

• A. 10
• B. 11
• C. 210
• D. 250

Explanation: 210 and 252. Highest common factor is 42. 210 factors to = 2*5*3*7252 factors to = 2*2*3*3*7210/42 = 5252/42 = 65+6= 11 cartons

112. In a recipe two liters of milk required 3 spoons of chocolate powder and whenever 4 spoons of chocolate is used there should by 5 spoons of sugar. What is the relationship b/w milk and sugar?

• A. For 3 litres of 2 spoons of sugar
• B. For 2 litres of milk 5 spoons of sugar
• C. For 4 litres of 2 spoons of sugar
• D. For 8 litres of milk 15 spoons of sugar

Explanation: A, B, C are wrong as 15 spoons of sugar are required for 8 litres of milk. D is correct as 4 Spoon of the chocolate powder require 5 spoon of the sugar For 1 spoon chocolate, we need 5/4 spoons of sugar For 3 spoon chocolate, we need 15 / 4 spoons of sugar For 2 liters of milk, we need 3 spoon chocolate then need 15/4 spoons sugar For 8 liter milk, we need 15 spoons of the sugar.

113. In a garrison there is enough food for 800 men for 20 days. After 5 days 200 men desert. How would the food will last now:

• A. 10
• B. 20
• C. 8
• D. 40

Explanation: Initially, there's enough food for 800 men for 20 days, meaning the total food available is 800 men x 20 days = 16,000 man-days of food.After 5 days, 800 men have consumed 800 men x 5 days = 4,000 man-days of food, leaving 12,000 man-days of food.With 200 men deserting, 600 men remain. The remaining food will now last for 12,000 man-days / 600 men = 20 days.Options A, C, and D are incorrect because the calculations show that the food lasts for 20 days after the changes. Option B is correct because it reflects this outcome accurately.

114. If the price of petrol be raised by 12.5% , find by what percentage should a consumer decrease the consumption of petrol so that there is no change in his monthly expenditure on petrol?

• A. 12.5%
• B. 15%
• C. 11.11%
• D. 20%

Explanation: To solve this problem, you need to understand the concept of maintaining a constant expenditure when the price of a product changes. If the price of petrol increases by 12.5%, the consumer can reduce their consumption to keep their expenditure the same. The formula for calculating the required percentage decrease in consumption is given by:Percentage decrease = (Price Increase % / (100 + Price Increase %)) x 100Substituting the given values, we have:{12.5 / (100 + 12.5)} x 100 = 11.11%Therefore, the consumer should decrease their petrol consumption by 11.11% to maintain the same monthly expenditure. Other options suggest incorrect percentage changes that would either increase or decrease the expenditure from the original amount.

115. What percent is one minute of an hour:

• A. 66%
• B. 1.66%
• C. 60%
• D. 1/60 %

Explanation: To determine what percent one minute is of an hour, recognize that there are 60 minutes in an hour. Therefore, one minute is 1/60th of an hour. To express this as a percentage, you multiply by 100, resulting in (1/60) * 100% = 1.67%. Option B is the correct answer. Option A, 66%, is far too large, and Option C, 60%, is incorrect as it represents the proportion of an hour relative to itself. Option D, 1/60 %, does not correctly convert the fraction to a percentage.

116. Maria's salary is 40% more than Saleh's. What percentage of money does Saleh gets less than Maria?

• A. 40%
• B. 60%
• C. 28.57%
• D. 26.5%

Explanation: Saleh's salary = XMariah's salary= 1.4xHence,C is correct 1.4x-x/1.4x ×100 0.4x/1.4x ×1000.4/1.4 ×100 40/1.428.57%

117. The product of a number x and four decreased by twelve. Which of the following is an expression for the statement above?

• A. 4x + 12
• B. 4(x + 12)
• C. 4(x - 12)
• D. 4x - 12

Explanation: The correct expression for the statement 'The product of a number x and four decreased by twelve' is 4x - 12. This is because 'the product of a number x and four' translates to multiplying x by 4, resulting in 4x. 'Decreased by twelve' means subtracting 12 from this product, leading to the expression 4x - 12.Option A is incorrect because it adds 12 instead of subtracting, resulting in 4x + 12. Option B is incorrect because it suggests adding 12 to x before multiplication, resulting in 4(x + 12). Option C is incorrect because it suggests subtracting 12 from x before multiplication, resulting in 4(x - 12).

118. Which of the following expressions is equivalent to a(b-c)-b(a+c)-c(a-b)?

• A. bc
• B. 2ac
• C. -2bc
• D. -2ac

Explanation: To simplify the expression a(b-c)-b(a+c)-c(a-b), start by expanding each term: a(b-c) = ab - ac, -b(a+c) = -ba - bc, -c(a-b) = -ca + cb. Combining all terms results in ab - ac - ba - bc - ca + cb. Simplifying further, ab cancels out with -ba and -bc cancels out with cb, leaving -2ac. Therefore, Option D is correct. Option A is incorrect as it oversimplifies, Option B contains a sign error, and Option C focuses on the wrong terms during simplification.

119. Which of the following expressions is equivalent to:

• A. a - 3c
• B. a + 5c
• C. a + c
• D. a - c

Explanation: Option D is correct as the simplification of the given expression results in a - c. The other options are incorrect because they do not represent the simplified form of the expression. Option A, a - 3c, is incorrect as it introduces an unnecessary subtraction of 3c. Option B, a + 5c, is incorrect as it adds 5c, which is not part of the original expression. Option C, a + c, is incorrect because it adds c instead of subtracting it, which does not match the simplified form of a - c.

120. In three plays, a football team loses 5 yards and then gains 32 yards by completing a pass. Then a penalty was called and the team lost 10 yards. How many yards did the team actually gain?

• A. 17
• B. 23
• C. 27
• D. 9

Explanation: A is correct asStart= 0 0-5=-5 (lose 5 yards) -5+32= 27 (gain 32 yards) 27-10= 17 (lose 10 yards) B,C,D are incorrect as the team gained 17 yards