## SERIES AND ANALOGIES – Reasoning

They are designed to measure student’s ability to find logical patterns, which may be used on simple mathematical rules and properties.

A sequence of number is given, where one needs to define the pattern between the numbers. This pattern needs to apply in the series to find out the missing number. There can be infinite ways to create the series, but all numbers within the series should have the same relationship between them. Due to various patterns that can be used to create the series, this can be often difficult and time-consuming to solve the given series.

**Some questions are:**

**1. Find the missing number in the following number series:**

** 125, 225, 216, 324, 343?**

a. 196

b. 441

c. 576

d. 512

e. 451

**Solution** – 125 =53, 225 = (5*3)3, 216 =63, 324 = (6*3)3, 343 =73, 441= (7*3)2

**2. Find the missing number in the following number series:**

** -37, -28, -3, 46, ? , 248**

a. 127

b. 110

c. 146

d. 128

e. 126

**Solution** – -37 → -28 =32 , -28 → -3 =52, -3 → 46= 72, 46 → 127 =92, 127 → 248=112

**3. Find the missing number in the following number series:**

** 4, 18, ? , 100, 180, 294**

a. 40

b. 38

c. 57

d. 48

e. 28

**Solution** – 4= 1*22, 18=2*32, 48=3*42, 100=4*52, 180=5*62, 294=6*72

**4. Find the missing number in the following number series:**

** 10, 15, ? , 27, 33**

a. 21

b. 23

c. 24

d. 28

e. 25

**Solution** – 10= 2+3+5, 15=3+5+7, 21= 5+7+9, 27=7+9+11, 33=9+11+13.

For online test series of **SBI Clerk Exam**, click **Online Bank coaching classes**.

Following questions are sharing for practice, try yourself. Answers are shared below.

**5. Find the missing number in the following number series:**

** 17, 24, ? , 36, 42, 44**

a. 25

b. 26

c. 28

d. 32

e. 38

**6. What should come at the place of question mark (?) in the following number series?**

** 70, 105, 158, 237, ?, 510**

a. 315

b. 298

c. 296

d. 351

e. 397

**7. What should come at the place of question mark (?) in the following number series?**

** 4, 12, 60, ? , 3780, 41580**

a. 485

b. 465

c. 420

d. 492

e. 482

**8. What should come at the place of question mark (?) in the following number series?**

** 3, 4, 9, 32, ? , 924**

a. 165

b. 155

c. 185

d. 175

e. None of these

**9. What should come at the place of question mark (?) in the following number series?**

** 221, 109, 53, 25, 11, ?**

a. 6

b. 4

c. 8

d. 10

e. 15

**10. What should come at the place of question mark (?) in the following number series?**

** 649.6875, 433.125, 173.25, 49.5, ?, 2**

a. 13

b. 10

c. 11

d. 15

e. 9

Mock test papers, online test series for **IBPS/SBI PO & Clerk** are available, click **Online banking classes** for details.

**ANSWERS**

**1. b**

** 2. a**

** 3. d**

** 4. a**

** 5. c**

** 6. d**

** 7. c**

** 8. b**

** 9. b**

** 10. c**

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