Quantitative Aptitude & Reasoning MCQ & Objective Questions
Quantitative Aptitude & Reasoning is a crucial component of many school and competitive exams in India. Mastering this subject not only enhances your problem-solving skills but also boosts your confidence during exams. Practicing MCQs and objective questions helps you familiarize yourself with the exam format and improves your ability to tackle important questions efficiently. Regular practice is key to achieving higher scores in your exam preparation.
What You Will Practise Here
Basic Arithmetic Operations and their applications
Number Series and Patterns
Percentage, Ratio, and Proportion
Time, Speed, and Distance problems
Data Interpretation and Analysis
Logical Reasoning and Puzzles
Algebraic Expressions and Equations
Exam Relevance
Quantitative Aptitude & Reasoning is a significant part of various examinations, including CBSE, State Boards, NEET, and JEE. In these exams, you can expect questions that test your analytical skills and numerical ability. Common question patterns include multiple-choice questions that require quick calculations and logical deductions, making it essential to practice regularly to excel.
Common Mistakes Students Make
Misinterpreting the question requirements, leading to incorrect answers.
Overlooking the importance of units in measurement problems.
Failing to apply the correct formulas in different scenarios.
Rushing through calculations, resulting in careless mistakes.
FAQs
Question: What are the best strategies for solving Quantitative Aptitude MCQs?Answer: Focus on understanding the concepts, practice regularly, and learn to manage your time effectively during exams.
Question: How can I improve my reasoning skills for competitive exams?Answer: Engage in regular practice with a variety of reasoning questions and puzzles to enhance your logical thinking.
Start your journey towards mastering Quantitative Aptitude & Reasoning today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!
Q. Find the value of x in the equation 3x^2 - 12 = 0.
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Solution
Add 12 to both sides: 3x^2 = 12. Divide by 3: x^2 = 4. Thus, x = ±2.
Correct Answer:
B
— 2
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Q. Find the value of x in the equation 4x^2 + 8x + 3 = 0.
A.
x = -1
B.
x = -3/2
C.
x = -1/2
D.
x = -3
Show solution
Solution
Using the quadratic formula x = [-b ± √(b² - 4ac)] / 2a gives x = [-8 ± √(64 - 48)] / 8 = [-8 ± 4] / 8.
Correct Answer:
B
— x = -3/2
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Q. Find the value of x in the equation 4x^2 - 16x + 15 = 0.
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Solution
Factoring gives (4x - 3)(x - 5) = 0, so x = 3 or x = 5.
Correct Answer:
B
— 3
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Q. Find the value of x in the equation 5x - 2 = 3x + 6.
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
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Solution
Subtract 3x from both sides: 2x - 2 = 6. Add 2: 2x = 8. Divide by 2: x = 4.
Correct Answer:
A
— x = 2
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Q. Find the value of x in the equation 5x - 2(3 - x) = 4.
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
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Solution
Distributing gives 5x - 6 + 2x = 4. Combining like terms: 7x - 6 = 4. Thus, 7x = 10, x = 10/7.
Correct Answer:
B
— x = 2
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Q. Find the value of x in the equation x^2 + 6x + 9 = 0.
A.
x = -3
B.
x = 3
C.
x = 0
D.
x = -9
Show solution
Solution
This is a perfect square: (x + 3)^2 = 0, so x = -3.
Correct Answer:
A
— x = -3
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Q. Find the volume of a sphere with a radius of 5 cm.
A.
33.51 cm³
B.
65.45 cm³
C.
523.60 cm³
D.
125.66 cm³
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Solution
Volume = (4/3)πr³ = (4/3)π(5)³ = (500/3)π ≈ 523.60 cm³.
Correct Answer:
C
— 523.60 cm³
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Q. Five friends are sitting in a circle. If A is to the immediate left of B and C is to the immediate right of A, who is sitting opposite to B?
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Solution
The arrangement is A, C, D, E, B. D is opposite to B.
Correct Answer:
D
— E
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Q. From the table, what is the growth rate of sales from Year 1 to Year 2?
A.
10%
B.
20%
C.
30%
D.
40%
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Solution
Sales in Year 1 were $1000 and in Year 2 were $1300. Growth rate = ((1300 - 1000) / 1000) * 100 = 30%.
Correct Answer:
C
— 30%
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Q. How many units of Product C were sold in Q3 according to the bar graph?
A.
1200
B.
1300
C.
1400
D.
1500
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Solution
The bar graph shows that 1500 units of Product C were sold in Q3.
Correct Answer:
D
— 1500
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Q. How much did sales increase from Q2 to Q3?
A.
10 units
B.
20 units
C.
30 units
D.
40 units
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Solution
Sales increased from 120 units in Q2 to 150 units in Q3, which is an increase of 30 units.
Correct Answer:
B
— 20 units
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Q. If $1000 is invested at a compound interest rate of 6% per annum, what will be the amount after 2 years?
A.
$1123.60
B.
$1260
C.
$1156.16
D.
$1200
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Solution
Amount = Principal * (1 + Rate)^Time = 1000 * (1 + 0.06)^2 = 1000 * 1.1236 = $1123.60.
Correct Answer:
C
— $1156.16
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Q. If '123' is coded as '321', what is the code for '456'?
A.
654
B.
645
C.
564
D.
546
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Solution
The code reverses the digits. So, 456 becomes 654.
Correct Answer:
A
— 654
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Q. If '123' is coded as '456', what is the code for '789'?
A.
012
B.
345
C.
678
D.
901
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Solution
Each digit is increased by 3.
Correct Answer:
C
— 678
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Q. If '1234' is to '4321', then '5678' is to?
A.
8765
B.
7658
C.
6785
D.
5678
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Solution
The digits are reversed.
Correct Answer:
A
— 8765
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Q. If 'A' is coded as 'Z', 'B' as 'Y', and 'C' as 'X', how is 'X' coded?
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Solution
The letters are reversed in the alphabet.
Correct Answer:
B
— Y
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Q. If 'A' is coded as 1, 'B' as 2, and so on, what is the sum of the letters in 'BAD'?
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Solution
B=2, A=1, D=4; sum = 2 + 1 + 4 = 7.
Correct Answer:
B
— 5
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Q. If 'A' is to '1', 'B' is to '2', then 'C' is to?
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Solution
Each letter corresponds to its position in the alphabet.
Correct Answer:
A
— 3
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Q. If 'CAT' is to 'DOG', then 'PEN' is to?
A.
QFO
B.
QEP
C.
QEN
D.
QEM
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Solution
Each letter is shifted forward by one position.
Correct Answer:
A
— QFO
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Q. If 'MANGO' is coded as 'NBOHP', how is 'APPLE' coded?
A.
BQQMF
B.
BQQME
C.
BQQMD
D.
BQQMG
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Solution
Each letter is shifted forward by one position.
Correct Answer:
A
— BQQMF
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Q. If 'RAT' is to 'SBU', then 'BAT' is to?
A.
CBU
B.
CAV
C.
CAX
D.
CAY
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Solution
Each letter is shifted forward by one position.
Correct Answer:
A
— CBU
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Q. If 10 liters of a 20% sugar solution is mixed with 5 liters of a 30% sugar solution, what is the percentage of sugar in the new mixture?
A.
24%
B.
26%
C.
28%
D.
30%
Show solution
Solution
Sugar from 20% solution = 2L, from 30% = 1.5L. Total sugar = 3.5L, total volume = 15L, new % = (3.5/15)*100 = 23.33%.
Correct Answer:
A
— 24%
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Q. If 20% of a mixture is water and the rest is alcohol, what is the ratio of alcohol to water in the mixture?
A.
4:1
B.
5:1
C.
1:4
D.
1:5
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Solution
Water = 20%, Alcohol = 80%. Ratio = 80:20 = 4:1.
Correct Answer:
B
— 5:1
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Q. If 25% of a number is 50, what is the number?
A.
150
B.
200
C.
250
D.
300
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Solution
Let the number be x. Then, 0.25x = 50. Solving gives x = 50 / 0.25 = 200.
Correct Answer:
B
— 200
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Q. If 2x + 3 = 11, what is the value of x?
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Solution
2x = 11 - 3 = 8, so x = 8/2 = 4.
Correct Answer:
B
— 3
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Q. If 2x - 3 = 5, what is the value of x?
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Solution
Adding 3 to both sides gives 2x = 8, so x = 4.
Correct Answer:
B
— 2
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Q. If 2x - 3 = 7, what is the value of x?
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Solution
2x = 10, so x = 5.
Correct Answer:
C
— 5
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Q. If 2x^2 + 3x - 5 = 0, what is the value of x using the quadratic formula?
A.
x = 1
B.
x = -1
C.
x = 2
D.
x = -2
Show solution
Solution
Using the quadratic formula x = [-b ± √(b² - 4ac)] / 2a, we find x = [-3 ± √(9 + 40)] / 4.
Correct Answer:
B
— x = -1
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Q. If 2x^2 + 8x + 6 = 0, what is the value of x?
A.
x = -1
B.
x = -3
C.
x = -2
D.
x = -4
Show solution
Solution
Dividing the equation by 2 gives x^2 + 4x + 3 = 0, which factors to (x + 1)(x + 3) = 0.
Correct Answer:
B
— x = -3
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Q. If 2^(x) = 16, what is the value of x?
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Solution
16 = 2^(4), so x = 4.
Correct Answer:
C
— 4
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