Arithmetic Reasoning
The capacity to understand and solve mathematical issues utilizing basic arithmetic operations such as addition, subtraction, multiplication, and division is known as Arithmetic Reasoning. This talent entails calculating and analyzing numerical relationships using logic, critical thinking, and problem-solving approaches. Arithmetic thinking entails not only performing calculations but also comprehending underlying concepts, recognizing patterns, and making informed decisions based on numerical data.
Arithmetic Reasoning for SSC
Arithmetical Reasoning entails solving a number or word problem using fundamental arithmetic. These questions cover a wide range of concepts that must be solved using basic mathematics, such as ages and weights, number systems, ratios and proportions, profit, loss, and discounts, HCF, LCM, SI & CI, time & distance, sequences & patterns, probability, square roots, etc.
Arithmetical Reasoning questions are asked in almost every SSC exam - be it SSC CGL, SSC CHSL, SSC JE, Delhi Police, or any other related competition in the government sector in India.
Arithmetic Reasoning Syllabus
SSC syllabus for Arithmetic Reasoning is vast. The below table entails the Arithmetic Reasoning syllabus in detail:
Arithmetic Reasoning Syllabus |
Calendar |
Clock |
Data Sufficiency |
Inequality |
Missing Number |
Mixed Series |
Number Arrangement |
Number Series |
Order And Ranking |
Ranking |
Statement Based |
Arithmetic Reasoning Formulas
Some basic math formulas are applied in Arithmetic Reasoning, we are providing you all with important Arithmetic Reasoning formulas below:
- Addition: a + b = c
- Subtraction: a - b = c
- Multiplication: a * b = c
- Division: a / b = c
- Average: (a + b + c + ... + n) / n
- Percentage: (part/whole) * 100
- Ratio: a: b
- Proportion: a / b = c / d
- Distance: Speed * Time
- Speed: Distance / Time
- Time: Distance / Speed
- Simple Interest: I = P * R * T / 100 (where I = interest, P = principal, R = rate, and T = time)
- Compound Interest: A = P(1 + r/n)^(nt) (where A = amount, P = principal, r = annual interest rate, n = number of times interest is compounded per year, and t = time in years)
- Profit or Loss: Profit = Selling Price - Cost Price (Loss = Cost Price - Selling Price)
- Percent Increase or Decrease: (New Value - Old Value) / Old Value * 100
- Fractions:
- Addition: a/b + c/d = (ad + bc) / bd
- Subtraction: a/b - c/d = (ad - bc) / bd
- Multiplication: (a/b) * (c/d) = (a * c) / (b * d)
- Division: (a/b) ÷ (c/d) = (a * d) / (b * c)
- Decimal to Fraction: To convert a decimal to a fraction, write the decimal as the numerator and the denominator as a power of 10 based on the number of decimal places. Then, simplify the fraction.
- Fraction to Decimal: Divide the numerator by the denominator.
- Fraction to Percentage: (Fraction) * 100
- Percentage to Fraction: (Percentage) / 100
- Percentage to Decimal: (Percentage) / 100
- Decimal to Percentage: (Decimal) * 100
- Least Common Multiple (LCM): The smallest multiple that is exactly divisible by each of the numbers.
- Greatest Common Divisor (GCD): The largest number that divides two or more numbers without leaving a remainder.
- Prime Numbers: A number greater than 1 that has only two factors: 1 and itself.
- Factors: The numbers that can be multiplied together to get the original number.
- Square of a Number: a² = a * a
- Cube of a Number: a³ = a * a * a
- Square Root: √a is the number that, when multiplied by itself, equals a.
- Cube Root: ∛a is the number that, when multiplied by itself three times, equals a.
Arithmetic Reasoning Questions and Answers
Arithmetic Reasoning questions and answers are as follows:
1, 2, 8, 33, 148, ?
A. 265B. 465
C. 565
D. 765
Answer ||| D
2. In the following series, choose the number that can replace the question mark (?).
4, 6, 11, 24, 51, 130, ?
A. 289B. 241
C. 277
D. 298
Answer ||| A
3.In the following series, choose the number that can replace the question mark (?).
1, 2, 3, 8, 15, ?, 105, 384
A. 54B. 68
C. 72
D. 48
Answer ||| D
4. Select the missing number from the given series in the following question.
67, 46, 24, 1, –23, ?
A. –48B. –38
C. –46
D. –50
Answer ||| A
5. In the following series, choose the number that can replace the question mark (?).
242, 288, ?, 392, 450
A. 338B. 375
C. 316
D. 324
Answer ||| A
13. In the following series, choose the number that can replace the question mark (?).
189, 532, 316, ?, 377
A. 384B. 291
C. 441
D. 405
Answer ||| C
6. To finish the given sequence, which letter cluster will replace the question mark (?)?
LAFI, MCGL, ?, OGIR, PIJU
A. NFHOB. NEIO
C. NFIO
D. NEHO
Answer ||| D
7. Two positions of the same dice are shown. There are six symbols on the cube that is ¥, ∞, µ, ρ, β, Σ, what will be in front of symbol β?
A. ∞
B. Σ
C. ¥
D. ρ
Answer ||| A
8. Examine the faces of the dice before answering the question.
Which colour is opposite to Red?
A. Yellow
B. Pink
C. Green
D. Black
Answer ||| D
9. Which colour is opposite to yellow?
A. VioletB. Red
C. Purple
D. Blue
Answer ||| A
10.How many triangles are there in the given figure?
B. 44
C. 46
D. 54
Answer ||| B
11.If 5 November 2019 was Tuesday, then what was the day of the week on 5 December 2011?
A. TuesdayB. Sunday
C. Monday
D. Saturday
12.If 3rd January is Sunday, what date will be three days after the fourth Wednesday in the month?
A. 30B. 27
C. 26
D. 23
13.If Shankar 37 rank ahead of Kalyan in one test. The rank of Kalyan is 37^{th} from the last. Total participant of that test is 94. What is Shankar’s rank from start?
14.In a row of thirty-two girls, M is twelfth from the left end and there are seventeen girls between M and N. N is the right of M. What is N’s position from the right end of the row?
15.M, N, O, P, Q are five friends. O is fastest guy. P can run faster than N and Q. M can run faster than Q. N is slower than M. Who is slowest?
Arithmetic Reasoning PDF
To practice and prepare for these arithmetic questions, candidates often rely on Arithmetic Reasoning Questions PDFs. These PDFs provide a convenient and accessible resource that contains a wide range of arithmetic reasoning questions with detailed solutions. The PDF format allows candidates to easily download and print the material for offline studying or use it on digital devices.
Arithmetic Reasoning Questions PDF (Check Here)
By utilizing these PDFs as part of their preparation strategy, candidates can enhance their arithmetic reasoning abilities and score well in the reasoning section.
Books for Arithmetic Reasoning
Arithmetic reasoning is a critical component of many competitive exams. It tests a candidate's ability to solve mathematical problems and apply arithmetic concepts in practical scenarios.
By referring to the best books, candidates gain access to comprehensive study material specifically designed to cover the arithmetic reasoning syllabus in-depth. These books provide explanations, examples, and practice questions that help candidates understand and master various arithmetic topics such as fractions, percentages, ratios, and more.
Book Name | Author |
Verbal & Non-Verbal Reasoning | R. S. Aggarwal |
Verbal & Non-Verbal Reasoning (Hindi) | Kiran Publication |
Fast Track Objective (Arithmetic Reasoning) | Arihant Publication |
Additionally, best books for arithmetic reasoning often include previous years' question papers and mock tests, allowing candidates to familiarize themselves with the exam pattern and gain valuable experience. They provide an opportunity to assess one's progress and identify areas that require further improvement.
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