Quantitative Aptitude focuses on several topics like Problems on numbers in Arithmetic, which is the science that studies the relationships between numbers. It includes all methods that apply to numbers. Numbers are expressed as figures – 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 known as digits. 0 is considered as inconsequential digit, but the remaining digits are considered significant.
Table of Contents: 
Numerals are groups of figures that represent a number. Numbers are classified into the following types:
 Natural numbers: Natural numbers are numbers that we use to count objects. They are denoted by ‘N’. N= {1, 2, 3, 4, 5,….}
 Whole numbers are formed by including ‘zero’ in natural numbers. They are identified by the letter ‘W’. W={0, 1, 2, 3, 4, 5,…….}
 Prime Number: A number other than one is referred to as a prime number, if it can only be divided by one and itself.
 Composite Numbers: A composite number is any number other than 1 that is not a prime number. e.g. 4,6, 8,9,12,14
 Even Number: A number divisible by two is known as an even number. e.g., 2, 4, 8, 12, 24, 28…. It also has the form 2n (where n is a whole number).
 Odd number: Odd number is a number that is not divisible by two. e.g.,3,9,11,17,19,…….
 Consecutive Numbers: A succession of numbers that are all greater than the one before it by one is referred to as a consecutive number. 2. e.g., 6, 7, 8, 13, 14, 15, 16, or 101, 102, 103, 16.
 Integers: Integers are a set of numbers that includes both whole and negative values. It is denoted by I. For example, I ={ 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, 5…}.
 Rational numbers: Rational numbers are can be expressed as fractions. They are denoted by Q. For example, 1/2, 3 /4, 8/9, and 13/15 are rational numbers. Rational numbers are those that can be expressed as a/b, where a and b are integers and b is not 0.
 Irrational numbers: Irrational numbers are cannot be expressed as p/q (where p and q are integers and q is not zero). For example, √3 = 1.732, √2 = 1.414. However, repeating decimals, such as 8/3 = 2.666 or 2. overline 6 form, are rational numbers.
 Real numbers: Real numbers encompass rational and irrational numbers.
Practice Quizzes
Problems on Numbers Quiz 1 – Coming Soon 
Problems on Numbers Quiz 2 – Coming Soon  Problems on Numbers Quiz 3 – Coming Soon 
For More Aptitude Quizzes – Click Here
Some Important Formulas To Solve Problems on numbers
Click Here to Download PDF
Example problems on Problems on numbers
Q1. If the product 4864*9 P 2 is divisible by 12, the value of p:
A) 1
B) 2
C) 3
D) 4
Answer: A) 1
Explanation:
Clearly 4864 is divisible by 4
So, 9 P 2 must be divisible by 3. So (9+P+2) must be divisible by 3.
So P=1.
Q2. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct , then the correct answer would be :
A) 553681
B) 555181
C) 555681
D) 556581
Answer: C) 555681
Explanation:
987 = 3 * 7 * 47.
So, the required number must be divisible by each one of 3, 7, 47
553681 => (Sum of digits = 28, not divisible by 3)
555181 => (Sum of digits = 25, not divisible by 3)
555681 is divisible by each one of 3, 7, 47.
Q3. How many terms are in the G.P. 3, 6, 12, 24, ……., 384 ?
A) 8
B) 9
C) 10
D) 11
Answer: A) 8
Explanation:
Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 384 => a * r^(n1) = 384
=> 3 * 2^(n1) = 384 => 2^(n1) = 128 = 2^(7)
=> n1 = 7 => n = 8.
Q4. What is the simplified result of following the steps below in order?
1.Add 5y to 2x
2.Multiply the sum by 3
3.Substract x+y from the product
A) 5x + 14y
B) 5x + 16y
C) 5x + 5y
D) None
Answer: A) 5x + 14y
Explanation:
Step 1 :2x + 5y
Step 2 :3(2x + 5y) = 6x + 15y
Step 3 :(6x + 15y) – (x +y) = 6x + 15y – x – y (watch that last minus sign!)
This gives 5x + 14y
Q5. If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers?
A) 2,3 and 5
B) 6,8 and 10
C) 6, 4 and 15
D) 12, 9 and 15
Answer: C
Explanation:
Smart Approach:
By ‘Hit & Trial’ method
(2 + 3) ≠ 10. Option ‘A’ gets eliminated
(6 + 8) ≠ 10. Option ‘B’ gets eliminated too.
(6 + 4) = 10
(4 + 15) = 19
& (15 + 6) = 21
It’s evident that the numbers in option ‘C’ satisfy the given condition.
Hence, option ‘C’ is the correct answer.
Traditional Approach:
Let the numbers be x, y and z. then
x + y = 10 …..(1) y + z = 19 …..(2) x + z = 21 ….(3)
Adding (1), (2) and (3),
we get : 2(x + y + z) = 50 or (x + y + z) = 25.
Thus, x = (25 – 19) = 6; y = (25 – 21) = 4; z = (25 – 10) = 15.
Hence, the required numbers are 6, 4 and 15.
Hence, option C is correct.
Q6. The least number by which 1470 must be divided to get a number which is a perfect square is ?
A) 5
B) 6
C) 15
D) 30
E) None of these
Answer: D
Explanation:
1470 = 7 × 7 × 6 × 5
To make it a perfect square, it must be divided by 5 × 6 = 30.
Hence, option D is correct.
Q7. Of three numbers, the sum of the first two is 45, the sum of the second and the third is 55, and the sum of the third and thrice the first is 90. Find the third number.
A) 20
B. 25
C) 30
D) 15
E) None of these
Correct Option: C
Let the number be x, y and z.
Then x + y = 45 ….(i)
y + z = 55 ….(ii)
z + 3x = 90 …. (iii)
Now, from (i)
y = 45 – x
And from (ii) z = 55 – y
∴ z = 55 – (45 – x)
z = 10 + x
Putting the value of z in equn. (iii) , we have
3x + 10 + x = 90
∴ x = 20
y = 45 – 20 = 25 and z = 10 + 20 = 30.
Hence, option C is correct.


Use The Links Below To Practice TopicWise Quizzes.
Reasoning Topic Wise Quiz  
Number Analogy  
Number Classification Quiz  Letter Series  Letter Analogy 
Letter Classification  Word Analogy  Word Classification 
Coding And Decoding  Directions  Problem Based On Alphabets 
Time Sequence, Ranking  Sitting Arrangement  Puzzle 
Coded Inequality  Syllogism  Input – Output Tracing 
Blood Relations  Clocks  Calendar 
Cubes & Dices  Inserting Missing Character  Non Verbal Series Quiz 
Paper Folding Quiz  Statement & Assumption Quiz  Non Verbal Analogy Quiz 
Paper cutting Quiz  Statement & Argument Quiz  Non Verbal Classification 
Statement & Conclusion Quiz  Dot situation Quiz 
Quantitative Aptitude Topic Wise Quiz  
Pipes and Cisterns Quiz  
Percentage Quiz  Mixtures & Alligations Quiz  Profit and Loss Quiz 
Quadratic Equation Quiz  LCM and HCF Quiz  Problems on Ages Quiz 
Partnerships Quiz  Probability Quiz  Simple Interest Quiz 
Compound Interest Quiz  Time and Distance Quiz  Boats and Streams Quiz 
Problems on Trains Quiz  Averages Quiz  Areas & Volumes Quiz 
Data Interpretation Quiz  Number System Quiz  Quantity Comparison Quiz 
Permutation Quiz  Combinations Quiz  Data Sufficiency Quiz 
English Topic Wise Quiz  
Synonyms & Antonyms Quiz  Error Spotting Quiz  
Active / Passive Voice Quiz  Cloze Test Quiz  
Fill in the blanks Quiz  Phrasal Verbs Quiz  Sentence Improvement Quiz 
Paragraph Completion Quiz  Sentence Starters Quiz  Sentence Connectors Quiz 
Idioms & Phrases Quiz  Word Associates Quiz  Sentence Completion Quiz 
Banking Awareness Topic Wise Quiz  
Structure of Banking Quiz  History of Banking Quiz  Reserve Bank of India Quiz 
Monetary Policy of RBI Quiz  Types of Accounts Quiz  Financial Inclusion Quiz 
Banking Ombudsman Quiz  Know Your Customer Quiz  Atm and it's Types Quiz 
Priority Sector Lending Quiz  Negotiable Instruments Quiz  NPA and its Resolutions Quiz 
Types Of Banking Quiz  Basel Norms & Risk Types  Financial Market Quiz 
Government Schemes Quiz  FDI And FPI Quiz:  Committees In Banking Quiz 
Banking Terminologies Quiz  Banking Abbreviations Quiz  Technologies & Codes Used in Banking Quiz 
Payments & Settlement System in India Quiz  Financial Institutions & Differentiated Banks Quiz 
General Knowledge Quiz  
Modern History Quiz  
World Geography Quiz  India Geography Quiz  Environment & Ecology Quiz 
Indian Economy Quiz  Physics Quiz  Chemistry Quiz 
Biology Quiz  Science & Technology Quiz  Static G.K Quiz 
Current Affairs Quiz  
Daily Current Affairs Quiz  Weekly Current Affairs Quiz  Monthly Current Affairs Quiz 