Prepare for General Aptitude Tests with this free Quantitative Reasoning MCQs practice quiz. Attempt every question, submit the test and review the correct answers with explanations.
About This Quantitative Reasoning Practice Quiz
- Questions: 20
- Time: 20 minutes
- Difficulty: Mixed
How to Attempt the Quiz
Select one answer for each question, use the question palette to move between questions, mark difficult questions for review and submit the test to see your score.
Interactive Practice Test
Quantitative Reasoning Quiz – 1
20 questions • 20 minutes
20:00
Question 1 of 20Speed, Distance and Time
A car travels 150 km in 3 hours at a constant speed. What is its speed?
Explanation: Speed equals distance divided by time. Therefore, 150 ÷ 3 = 50 km/h.
Question 2 of 20Weighted Averages
Twenty students have an average score of 60, while thirty students have an average of 70. What is the combined average?
Explanation: The total score is 20 × 60 + 30 × 70 = 3,300. Dividing by 50 gives 66.
Question 3 of 20Arithmetic Sequences
What is the 10th term of the arithmetic sequence 5, 9, 13, 17, ...?
Explanation: The common difference is 4. The 10th term is 5 + 9 × 4 = 41.
Question 4 of 20Inequalities
What is the smallest integer satisfying 2x − 5 > 9?
Explanation: Solving gives 2x > 14, so x > 7. The smallest integer solution is 8.
Question 5 of 20Direct Variation
If y varies directly as x and y = 18 when x = 6, what is y when x = 10?
Explanation: For direct variation, y/x is constant. Since 18/6 = 3, y = 3 × 10 = 30.
Question 6 of 20Ratios
The ratio of boys to girls in a class is 3:5. If there are 64 students, how many are boys?
Explanation: The total ratio is 8 parts. Boys represent 3 parts, so 64 × 3/8 = 24 boys.
Question 7 of 20Successive Percentages
A product receives successive discounts of 20% and 10%. What is the single equivalent discount?
Explanation: The remaining price is 0.80 × 0.90 = 72% of the original, so the equivalent discount is 28%.
Question 8 of 20Pipes and Cisterns
Pipe A fills a tank in 6 hours, pipe B in 8 hours, and a drain empties it in 24 hours. How long will all three take together?
Explanation: The net rate is 1/6 + 1/8 − 1/24 = 1/4 tank per hour. The tank fills in 4 hours.
Question 9 of 20Quadratic Equations
What is the larger root of x² − 7x + 12 = 0?
Explanation: Factor as (x − 3)(x − 4) = 0. The roots are 3 and 4, so the larger root is 4.
Question 10 of 20Area of Triangles
What is the area of a triangle with base 14 cm and height 9 cm?
Explanation: Triangle area is 1/2 × base × height. Therefore, 1/2 × 14 × 9 = 63 cm².
Question 11 of 20Sets and Venn Diagrams
In a group of 100 people, 60 know English, 45 know Urdu, and 25 know both. How many know neither language?
Explanation: Using inclusion-exclusion, 60 + 45 − 25 = 80 know at least one. Therefore, 100 − 80 = 20 know neither.
Question 12 of 20Boats and Streams
A boat travels at 18 km/h downstream and 10 km/h upstream. What is the speed of the stream?
Explanation: Stream speed equals half the difference: (18 − 10) / 2 = 4 km/h.
Question 13 of 20Profit and Loss
An item costs Rs. 800 and is sold for Rs. 920. What is the profit percentage?
Explanation: Profit is 920 − 800 = 120. Profit percentage is 120/800 × 100 = 15%.
Question 14 of 20Discounts
A shirt marked Rs. 1,500 is offered at a 20% discount. What is the sale price?
Explanation: The discount is 20% of 1,500 = 300. Subtracting gives 1,500 − 300 = Rs. 1,200.
Question 15 of 20Algebraic Identities
If x + 1/x = 5, what is x² + 1/x²?
Explanation: Squaring gives x² + 2 + 1/x² = 25. Therefore, x² + 1/x² = 23.
Question 16 of 20Clock Problems
What is the smaller angle between the hands of a clock at 3:40?
Explanation: The hour hand is at 110° and the minute hand at 240°. Their smaller difference is 130°.
Question 17 of 20Compound Interest
What is the compound interest on Rs. 10,000 at 10% annually for 2 years?
Explanation: The amount is 10,000(1.10)² = 12,100. Compound interest is Rs. 2,100.
Question 18 of 20Coordinate Geometry
What is the distance between the points (2, 3) and (8, 11)?
Explanation: Distance = √[(8 − 2)² + (11 − 3)²] = √(36 + 64) = 10.
Question 19 of 20Basic Probability
A bag contains 3 red balls and 2 blue balls. What is the probability of drawing a red ball?
Explanation: There are 5 balls in total and 3 are red. The probability is therefore 3/5.
Question 20 of 20Cyclic Patterns
What is the units digit of 7²³?
Explanation: The units digits repeat 7, 9, 3, 1. Since 23 mod 4 = 3, the units digit is 3.