Contents

### Arithmetical Reasoning Tricks, tips & questions

Following are the Arithmetical Reasoning questions and Arithmetical Reasoning shortcut tricks that will help you to pass IBPS clerk exam and IBPS PO,thus getting a good IBPS result.

### Arithmetical Reasoning

In this, there are three types of questions on this topic as follows:

- Calculation based problems
- Data based questions
- Problems on ages
- Venn diagram based questions

### Calculation based problem

Based on simple calculations like addition, subtraction, multiplication and division with numbers.

### Data based questions

It is based on data and related question.

### Questions & Answers

Question 1:The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago

Solution:

Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.

Question 2: A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?

Solution:

Clearly, we have :

B-3 = E ...(i)

B + 3 = D ...(ii)

A+B = D + E+10 ...(iii)

B = C + 2 ...(iv)

A+B + C + D + E= 133 ...(v)

From (i) and (ii), we have : 2 B = D + E ...(vi)

From (iii) and (vi), we have : A = B + 10 ...(vii)

Using (iv), (vi) and (vii) in (v), we get:

(B + 10) + B + (B - 2) + 2B = 133

5B = 125

B = 25.

Question 3: A is three times as old as B. C was twice-as-old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

Solution:

We have : A = 3B ...(i) and

C - 4 = 2 (A - 4) ...(ii)

Also, A + 4 = 31 or A= 31-4 = 27.

Putting A = 27 in (i), we get: B = 9.

Putting A = 27 in (ii), we get C = 50.

Question 4:In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?

Solution:

Let d and s represent the number of daughters and sons respectively.

Then, we have :

d - 1 = s and 2 (s - 1) = d.

Solving these two equations, we get: d = 4, s = 3.