# Logical Reasoning – Solved Examples

In SBI PO Main Exam, one of the important reasoning topics is **Logical Reasoning**. Here you can check out some examples which are asked in SBI PO 2016 Main Exam and SBI Clerk 2016 Prelim Exam.

**Types:**

Based on Shapes

Based on Two Series of Numbers

Based on Numbers/Words

**Based on Shapes:(SBI Clerk 2016 Pattern):**

In the following question, Hexagon represents the people who live in Hyderabad and like Blue, Triangle represents the people who live in Bengaluru and like Pink, Rectangle represents the people who live in Mumbai and like Red and Circle represents the people who live in Chennai and like Yellow.

**How many persons like blue and belong to Bengaluru?**

A. 24

B. 32

C. 36

D. 30

E. 18

**Ans – D. 30**

**Explanation:**

Persons like Blue and belong to Bengaluru = 8 + 22 = 30

Triangle represents Bengaluru

Hexagon represents the people who like Blue**How many persons like Blue, Yellow and Red together?**

A. 25

B. 32

C. 36

D. 38

E. None of these

**Ans – A. 25**

**Explanation:**

Persons like Blue, Yellow and Red together = 25 persons only.

Hexagon represents the people who like Blue

Rectangle represents the people who like Red

Circle represents the people who like Yellow

**Based on Series of Numbers:(SBI PO Mains 2016 Pattern)**

In each of the following questions, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered. The operations of numbers progress from the left to the right.

**Rules:**

(i) If an odd number is followed by a composite odd number, they are to be multiplied.

(ii) If an even number is followed by an odd number they are to be added.

(iii) If an even number is followed by a number which is the perfect square, the even number is to be subtracted from the perfect square.

(iv) If an odd number is followed by a prime odd number, the first number is to be divided by the second number.

(v) If an odd number is followed by an even number the second one is to be subtracted from the first number.

**I. 68 7 5**

**II. 85 5 a**

**If ‘a’ is the resultant of the first row what is the resultant of second row?**

A. 255

B. 232

C. 249

D. 234

E. None of the Above

**Ans – A. 255**

**Explanation:**

68 + 7 = 75 [Rule II] – If an even number is followed by an odd number they are to be added.

75 / 5 = 15 [Rule IV] – If an odd number is followed by a prime odd number, the first number is to be divided by the second number.

a = 15

85 / 5 = 17 [Rule IV] – If an odd number is followed by a prime odd number, the first number is to be divided by the second number.

17 * 15 = 255.[Rule I] – If an odd number is followed by a composite odd number, they are to be multiplied.**I. 12 36 15**

**II. b 13 15**

**If b is the resultant of the first row, what will be the resultant of the second row?**

A. 65

B. 75

C. 20If an odd number is followed by a composite odd number, they are to be multiplied.

D. 45

E. None of the Above

**Ans – D. 45**

**Explanation:**

36 – 12 = 24 [Rule III] – If an even number is followed by a number which is the perfect square, the even number is to be subtracted from the perfect square.

24 + 15 = 39 [Rule II] – If an even number is followed by an odd number they are to be added.

b = 39

39 / 13 = 3 [Rule IV] – If an odd number is followed by a prime odd number, the first number is to be divided by the second number.

3 * 15 = 45 [Rule I]- If an odd number is followed by a composite odd number, they are to be multiplied.

**Based on Numbers/Words – Single Series:(All Clerical Level Exams)**

**Study the sets of numbers given below and answer the questions which follow:**

**229 642 821 476 308**

**Which of the following numbers will be obtained if the second digit of the lowest number is added to the third digit of the highest number after adding four to each number?**

A. 5

B. 6

C. 7

D. 8

E. None of the Above

**Ans – D. 8**

**Explanation:**

Lowest Number = 229 + 4 = 233

Highest Number = 821 + 4 = 825

3 + 5 = 8**If the digits in each of the five numbers are arranged in descending order, the position of how many numbers will not change?**

A. None

B. One

C. Two

D. Three

E. Four

**Ans – C. Two**

**Explanation:**Original Series – 229 642 821 476 308

Rearranged Series – 922 642 821 764 830

642 821