Arithmetical reasoning is the ability to understand and solve the questions by applying basic mathematical concepts. In this blog we covered 50+ most important Arithmetical Reasoning Questions and Answers, that already asked in competitive exam, and it will help you to understand different types of Arithmetical reasoning questions. Arithmetical reasoning is one of the mix type question concepts, which is asked in every government exam like SSC, JE, RRB, MPSC, UPSC, WCL, Group-D and more. In this post we also provide Arithmetical Reasoning Questions and Answers pdf, for offline practice. By regular practicing and honing your arithmetical reasoning skills, students can easily tackle the Arithmetical questions.

What is the arithmetical reasoning?

Arithmetic reasoning is the ability to solve mathematical problems by applying basic arithmetic concepts such as addition, subtraction, multiplication, and division. In arithmetical reasoning questions, it is important to identify what kind of calculation is required. This will help you to choose the most efficient method to solve the problem. It is a fundamental skill that is required for success in many competitive exam and academic exams. The problems on these tests are usually word problems, and they can be quite challenging.

Arithmetical reasoning is one of the mix types of reasoning question. If you are thinking about How many topics are in arithmetic reasoning so, there are various topic include in arithmetic reasoning like Average, age problems, speed and distance train, number series etc. such type of mathematical questions are covered

Tips and Tricks to Solve Arithmetical Reasoning question

To do well on an arithmetical reasoning test, you need to be able to read the problem, identify the relevant information, and then use that information to solve the problem. There are a few key things to keep in mind when doing arithmetical reasoning.

• First, it’s important to be able to break down a problem into smaller pieces. This will make it easier to solve and understand.
• second, make sure that you understand the basic arithmetic operations (addition, subtraction, multiplication, and division)
• third, you need to be able to think abstractly. This means being able to see the relationships between numbers and concepts, and how they work together.
• Finally, it’s helpful to practice with a variety of problems. This will give you a better understanding of the different types of problems you may encounter.

Arithmetical Reasoning Questions And Answers PDF

Q-1. Ashok’s mother was 3 times as old as Ashok 5 years ago. After 5 years she will be twice as old as Ashok. How old is Ashok today?

(a) 10 years (b) 15 years
(c) 20 years (d) 25

View Answer and Solution 
  
Answer: (b)
Solution:
Supose the present age of Ashok is Fyears and that of his mother is y years
5 years ago
3 ( F-5) = (y-5)
⇒ 3F - 15 = y-5
⇒ 3F- y = 10 …..(i)
5 years hence,
2 (F + 5) = (y + 5)
⇒ 2F + 10 = y + 5
⇒ 2F- y = - 5 …………. (ii)
From equations (i) and (ii)
F = 15 years

Q-2. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, what is the present age of the wife?

(a) 60 years (b) 51 years
(c) 48 years (d) 45 years

View Answer and Solution 
  
Answer: (d)
Solution:
Suppose the present age of son is F years.
Therefore, present age of the father = 4F years
According to question,
F + 3 = 15
∴ F = 15 - 3 = 12 years
There present age of father
4F = 4 × 12 = 48 years
∴The present age of the wife
= 48 – 3
= 45 years

Q-3. Hari is twice as old as Johnny, who is three years older than Rahul. If Hari’s age is five times Rahul’s age, how old is Johnny?

(a) 2 years (b) 4 years
(c) 5 years (d) 8 years

View Answer and Solution 
  
Answer: (c)
Solution:
According to question
Age of Hari
2F = 5y
or, 2F-5y = 0 …..(i)
Again F= 3+ y
or, F- y = 3 ………….(ii)
On solving equations (i) and (ii),
we get
y=2
∴ Age of Johny
=3+ y
= 3 + 2 = 5 years

Q-4. A father’s age is one year more than 5 times of his son’s age. After 3 years, the father’s age would be 2 year less than four times the son’s age. Find the present age of the father.

(a) 30 years (b) 40 years
(c) 31 years (d) 29 years

View Answer and Solution 
  
Answer: (C)
Solution:
Suppose the age of son is = F years
Therefore, the age of father will be
5F + 1
Again,
4 (F+3)-2=5F+1+3
4F+12 -2= 5F+4
10 - 4 = 5F-4F
∴ F= 6
Age of father
= 5F+ 1
= 5 x 6+1 = 31 years

Q-5. The age of a father is twice that of his son’s at present age. After 5 years the sum of their ages will be 85. How old are they now?

(a) 40, 20 (b) 26, 76
(c) 60, 30 (d) 50, 25

View Answer and Solution 
  
Answer: (d)
Solution:
Suppose the present age of son = F years
∴ Ages of father = 2F years
According to question
F + 5 + 2F + 5 = 85
3F + 10 = 85
3F = 85 - 10 = 75
F= 75/ 3
F=25 years
2F= 50 years

Arithmetical Reasoning Questions and Answers

Q-6. ‘X’ and her grandfather differ in their ages by 50 years. After 6 years, if the sum of their ages is 152, their present ages are ?

(a) 24, 74 (b) 26, 76
(c) 45, 95 (d) 25, 75

View Answer and Solution 
  
Answer: (C)
Solution:
Suppose the present age of X = F years.
Her grandfather's present age
= F+ 50 years
According to question,
F + 6 + F + 50 + 6
⇒ 2F + 62 = 152
⇒ 2F = 152 - 62
∴ F= 90/2 = 45
F+ 50 = 45+ 50 = 95 years

Q-7. The sum of the ages of a father and a son presently are 70 years. After 10 years the son’s age is exactly half that of the father’s. What are their ages now?

(a) 45 years, 25 years (b) 50 years, 20 years
(c) 47 years, 23 years (d) 50 years, 25 years

View Answer and Solution 
  
Answer: (b)
Solution:
Suppose,
The present age of son = F years
The present age of father = y years
F+ y = 70 …..(i)
According to question,
2 (F+10) = y + 10
⇒ 2x + 20 = y + 10
⇒ 2F -y = -10 ……(ii)
From equations (i) and (ii)
F= 20
∴ y = 70-20 = 50

Q-8. Two years ago a mother was 4 times as old as her son. Six years from now her age will become more than double her son’s age by 10 years. What is the present ratio of their ages?

(a) 2 : 1 (b) 38 : 11
(c) 19 : 7 (d) 3: 1

View Answer and Solution 
  
Answer: (b)
Solution:
Suppose the present age of son = F years
Present age of mother = y years
According to question.
4 (F - 2) = y - 2
4F - 8 = y - 2
4F - y =6 …..(i)
2 (F + 6) + 10 = y + 6
⇒2F + 12 + 10 = y +6
⇒ 2F - y = -16 …..(ii)
From equations (i) and (ii)
F = 11
∴ y = 4 x 11 - 6 = 38
Required Ratio
= 38 : 11

Q-9. A bus leaves Delhi with half the number of women as men. At Meerut, ten men get down and five women get in. Now there are equal number of men and women. How many passengers boarded the bus initially at Delhi?

(a) 36 (b) 45
(c) 15 (d) 30

View Answer and Solution 
  
Answer: (b)
Solution:
Suppose the number of women boarded the bus as Delhi is F
Therefore, the number of men = 2F
According to question,
2F - 10 = F + 5
2F - F = 10 + 5
∴ F= 15
Total number of passengers boarded the bus initially
= 3F
= 3 × 15 = 45

Q-10. Determine the correct answer for the unsolvable equation using the given equations.
If 6 × 5 = 91
8 × 7=169
10 × 7=211 then 11 × 10 = ?

(a) 331 (b) 993
(c) 678 (d) 845

View Answer and Solution 
  
Answer: (a)
Solution:
6 × 5 = 30
30 × 3 + 1 = 91
8 × 7 = 56
56 × 3 + 1 = 169
10 × 7 = 70
70 × 3 + 1 = 211
Similarly,
11 × 10 = 110
110 × 3 + 1 = 331