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. If log2(8) = x, what is the value of x?
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Solution
log2(8) = log2(2^3) = 3.
Correct Answer:
B
— 3
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Q. If log3(27) = x, what is the value of x?
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Solution
27 = 3^3, so x = 3.
Correct Answer:
C
— 3
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Q. If log3(9) + log3(3) = x, what is the value of x?
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Solution
log3(9) = 2 and log3(3) = 1, so x = 2 + 1 = 3.
Correct Answer:
B
— 2
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Q. If logx(16) = 4, what is the value of x?
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Solution
x = 16^(1/4) = 2.
Correct Answer:
B
— 4
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Q. If M is the grandmother of N and O is the father of N, how is O related to M?
A.
Son
B.
Daughter
C.
Grandson
D.
None of the above
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Solution
O is the father of N, making him the son of M.
Correct Answer:
A
— Son
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Q. If n is an even integer, which of the following is always odd?
A.
n + 1
B.
n + 2
C.
n - 2
D.
n - 1
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Solution
n - 1 is odd since subtracting 1 from an even number results in an odd number.
Correct Answer:
D
— n - 1
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Q. If n is an odd integer, which of the following is always even?
A.
n + 1
B.
n - 1
C.
2n
D.
All of the above
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Solution
Both n + 1 and n - 1 are even, and 2n is always even.
Correct Answer:
D
— All of the above
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Q. If P is sitting to the right of Q and R is sitting to the left of P, who is sitting between Q and R?
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Solution
The arrangement is Q, P, R. P is between Q and R.
Correct Answer:
A
— P
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Q. If P is the sister of Q and R is the brother of Q, how is R related to P?
A.
Brother
B.
Sister
C.
Cousin
D.
None of the above
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Solution
R is the brother of Q, and since P is the sister of Q, R is also P's brother.
Correct Answer:
A
— Brother
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Q. If Product D's sales in Q1 were 50% of its Q2 sales, what were the Q1 sales?
A.
50
B.
75
C.
100
D.
125
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Solution
Let Q2 sales be x. Then Q1 sales = 0.5x. If Q2 sales = 200, then Q1 sales = 0.5 * 200 = 100.
Correct Answer:
C
— 100
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Q. If S is sitting between T and U, and V is sitting to the left of S, who is sitting to the right of T?
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Solution
The arrangement is V, S, T, U. U is to the right of T.
Correct Answer:
B
— U
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Q. If S is the daughter of T and U is the son of T, how is U related to S?
A.
Brother
B.
Sister
C.
Cousin
D.
None of the above
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Solution
U is the son of T, and since S is the daughter of T, U is S's brother.
Correct Answer:
A
— Brother
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Q. If T is sitting to the right of U and V is sitting to the left of T, who is sitting in the middle?
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Solution
The arrangement is U, V, T. V is in the middle.
Correct Answer:
A
— U
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Q. If the average of 10 numbers is 20, what is the sum of those numbers?
A.
180
B.
200
C.
220
D.
240
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Solution
Sum = Average × Number of items = 20 × 10 = 200.
Correct Answer:
B
— 200
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Q. If the average of five numbers is 20, what is the sum of those numbers?
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Solution
Average = Sum of numbers / Number of numbers. Therefore, Sum = Average * Number = 20 * 5 = 100.
Correct Answer:
A
— 80
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Q. If the code for 'DOG' is '5127', what is the code for 'CAT'?
A.
3120
B.
3127
C.
5120
D.
5127
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Solution
D=4, O=15, G=7; C=3, A=1, T=20. The code for 'CAT' is 3120.
Correct Answer:
A
— 3120
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Q. If the compound interest on a certain sum for 2 years at 10% per annum is $121, what is the principal amount?
A.
$1000
B.
$1100
C.
$1200
D.
$1300
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Solution
Let Principal = P. Then, CI = P(1 + r/100)^n - P = P(1 + 0.1)^2 - P = P(1.21 - 1) = 0.21P. Given CI = 121, we have 0.21P = 121, thus P = 121 / 0.21 = $1000.
Correct Answer:
A
— $1000
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Q. If the compound interest on a sum of money for 2 years at 10% per annum is $121, what is the principal amount?
A.
$1000
B.
$1100
C.
$1200
D.
$1300
Show solution
Solution
Using the formula for compound interest, A = P(1 + r/n)^(nt). Here, A = P + 121, r = 0.1, n = 1, t = 2. Solving gives P = 1000.
Correct Answer:
A
— $1000
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Q. If the day before yesterday was Friday, what day is today?
A.
Saturday
B.
Sunday
C.
Monday
D.
Tuesday
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Solution
If the day before yesterday was Friday, then today is Sunday.
Correct Answer:
B
— Sunday
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Q. If the day before yesterday was Friday, what day will it be two days after tomorrow?
A.
Saturday
B.
Sunday
C.
Monday
D.
Tuesday
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Solution
If today is Sunday, then two days after tomorrow (Tuesday) is Sunday.
Correct Answer:
B
— Sunday
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Q. If the diameter of a circle is 10 m, what is its circumference?
A.
31.4 m
B.
25.0 m
C.
20.0 m
D.
15.7 m
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Solution
Circumference = πd = π(10) ≈ 31.4 m.
Correct Answer:
A
— 31.4 m
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Q. If the HCF of two numbers is 1, what can be said about the numbers?
A.
They are even
B.
They are odd
C.
They are coprime
D.
They are multiples of each other
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Solution
If the HCF is 1, the numbers are coprime, meaning they have no common factors other than 1.
Correct Answer:
C
— They are coprime
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Q. If the HCF of two numbers is 15 and their LCM is 150, what is the product of the two numbers?
A.
225
B.
1500
C.
300
D.
75
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Solution
The product of the two numbers is equal to the product of their HCF and LCM, which is 15 * 150 = 2250.
Correct Answer:
B
— 1500
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Q. If the HCF of two numbers is equal to one of the numbers, what can be inferred?
A.
The numbers are equal
B.
One number is a multiple of the other
C.
The numbers are coprime
D.
The numbers are both prime
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Solution
If the HCF is equal to one of the numbers, it means that one number is a multiple of the other.
Correct Answer:
B
— One number is a multiple of the other
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Q. If the LCM of two numbers is 120 and one of the numbers is 30, what is the other number?
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Solution
The other number can be found using the formula: LCM = (a * b) / HCF. Here, 120 = (30 * b) / HCF. Assuming HCF is 30, b = 120 / 30 = 40.
Correct Answer:
A
— 40
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Q. If the LCM of two numbers is 36 and their HCF is 6, what is the product of the two numbers?
A.
72
B.
108
C.
216
D.
144
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Solution
The product of the two numbers is LCM * HCF = 36 * 6 = 216.
Correct Answer:
C
— 216
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Q. If the LCM of two numbers is 60 and their HCF is 5, what is the product of the two numbers?
A.
300
B.
600
C.
120
D.
150
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Solution
The product of the two numbers is HCF * LCM = 5 * 60 = 300.
Correct Answer:
A
— 300
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Q. If the LCM of two numbers is 72 and one of the numbers is 8, what is the other number?
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Solution
The other number can be found using the formula LCM(a, b) = (a * b) / HCF(a, b). Here, 72 = (8 * x) / HCF(8, x). The other number is 18.
Correct Answer:
B
— 18
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Q. If the LCM of two numbers is 84 and one of the numbers is 12, what is the other number?
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Solution
The other number can be found using the formula: LCM = (a * b) / HCF. Here, 84 = (12 * b) / HCF. The other number is 28.
Correct Answer:
C
— 28
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Q. If the length of a rectangle is doubled and the width remains the same, how does the area change?
A.
It doubles
B.
It triples
C.
It remains the same
D.
It quadruples
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Solution
Area = length × width; if length is doubled, area also doubles.
Correct Answer:
A
— It doubles
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