Analogy

Number Analogy

Understanding Number Analogy is a crucial step in solving questions on reasoning ability. The reasoning ability is checked mainly by the questions related to Number Analogy. The candidates are asked to identify and point out relationships, similarities or differences, and dissimilarities in a series or between groups of numbers. In the following section, we will try and get acquainted with the concept of analogies.

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Number Analogy of the First Kind

We shall see how to identify and use this concept to solve some questions. Broadly speaking, the Number analogy based questions may be of two types:

  1. Find a missing number from a given analogy.
  2. Find a set of numbers that are related to the same rule as the one given.

If you read newspapers you will find this section very very easy. In these kinds of questions, in bank exams, you will be asked to guess the missing number or complete a series from a given series of numbers. The tricks or the time savers here are to look for the common rules. Check for relations like “is a factor of”, “is a multiple of”, “is a root of”, “is a square of”, or a combination of these rules. Let us again see this with the help of an example:

Q. no. 1: If x = 3 and y = 27, then x : y :: y : _______________

  1. 19
  2. 196
  3. 1968
  4. 19683
Number Analogy

                                       Source: Wikipedia

Again, as we have done in the previous examples, we first try to find out the relation between the two given numbers. Here the two numbers are 3 and 27. We see that 3x3x3 = 27. In other words, 33 = 27. Hence 273  is the number that we are looking for. Using the calculator, we see that 273 = 19683. Note: In many bank exams an onscreen calculator is provided.

Number Analogy of the Second Kind

Q no. 2) What number will follow the given series of numbers: 3, 6, 11, __ _?

  1. 13
  2. 16
  3. 18
  4. 22

Here let us try and find the rule that generates the given numbers. The first term is 3. The second is 6 and the third is 11. Often times, the number of the term (i.e. whether it is first, second, third or fourth) is very crucial. If we try this [term number]2 + 2, then we have:

First term = [1]2 + 2 = 3;  which is the given first term. Second term of the series = [2]2 + 2 = 6; again the second term. And the third term = [3]2 + 2 = 11; which is the third term of the given series. Hence the rule is correct and we can use it to find the missing term. The missing term is = [4]2 + 2 = 18. Hence the answer is 18.

Memory-Based Questions

Q. no. 3) 11 : 121 :: 13 : ____

  1. 156
  2. 169
  3. 179
  4. 216

Answer: The answer is clearly B) 169 as 112 = 121. Therefore, 132 = 169 but if you haven’t memorized the squares of the first few numbers, it will eat into your time. So the main objective is to cut down on the time and for that, you need to commit certain things to the memory. Following is a list of some numbers and their squares that are commonly encountered. Some important squares:

112 = 121; 122 = 144; 132  = 169; 142 = 196; 152 = 225;

162  = 256; 172 = 289; 182  = 324; 192 = 361; 212 = 441;

Q. no. 4)  Complete the analogy: 144 : 23 :: 169: _____

  1. 32
  2. 24
  3. 25
  4. 26

Answer: I will make it easy, the answer here is C) 25. How did I get it? If you look above to the common squared values of a few numbers, you will see that 144 is the square of 12 and 144 – 23 = 121, which is the square of 11 or the square of the number “one” step below 12. Similarly, 169 is the square of 13 and we can reach the answer in two easy steps:

Step 1: Find the square of the number “one” below the given number (which is 13). The number is 12 and 122 = 144.

Step 2: Subtract this value of the squared number from the given number i.e. 169 -144 = 25. Therefore, the answer is 25. You will find a lot of interesting number analogies. Let us try and see an example where you will be asked to guess a pair based on a given pair.

Pair-Analogy-Based Questions

Q. no. 5) Select the pair that has the same analogy as the given pair: 9876: 12234567

  1. 34562: 89776
  2. 123: 122345
  3. 654321: 922346
  4. 9993: 8886

Answer: These questions can look very difficult, sometimes even not solvable. This would be true if you hadn’t read this article! If you take a careful look at the given set of numbers, you will find that they are related to a rule. The sum of all digits is 30 in both the numbers. There is no other relation between the two numbers. So start checking the options. You may want to save time and argue that you only need to check the first number of the given pairs. But that would be wrong and dangerous. What if the options followed the rule that the pair should have the same sum of the digits, even if it is different than 30? That said, you should ideally check both the numbers.

Summary

Follow the following steps to solve the questions based on the number analogy:

  1. Step 1 – Gather all information from the given pair ( relations, sums, squares etc.)
  2. Step 2 – Apply the same rules, relations, formulae that you guessed in step 1 to all the options.

Practice Questions

Q 1: If x = 144 and y = 18, then x : y what

  1. 96: 12
  2. 13: 169
  3. 169: 13
  4. 256: 16

Answer: A) 96: 12

Q 2: Guess the next number: 19 : 361 :: 66 : ____

  1. 693
  2. 256
  3. 4356
  4. 5346

Answer: C) 4356.

Q 3: 23 : 506 what 12 : ____

  1. 132
  2. 123
  3. 321
  4. 312

Answer: A) 132

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Sai Rohith
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Sai Rohith

5:62::8:?, Solve the problem

sadadasda
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sadadasda

5:62

5:5*12+2

8: 8*12+12

or

5:6+7*8
8:9+10*11

seriously options are key to find the pattern

Vicky
Guest
Vicky

5×12=60
Now 60+2=62
Similarly 8×12=96
So,96+2=98

Arya
Guest
Arya

140

Raju
Guest
Raju

98

sai sameer
Guest
sai sameer

ans: 5 square revers +1, 8 square reverse +1=47

Geetanjali Malik
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Geetanjali Malik

5:62::8:?
5*12=60+2
=62
In the same way
8*12=96+2
=98

KARAN singh Thakur
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KARAN singh Thakur

146 is the answer

Raj
Guest
Raj

8:98
Here I explain
8+1=9, add one with8
Add 9 with 8
9+8=17,
Add answer is 1+7=8

8:98.

Sai Ashritha
Guest
Sai Ashritha

99.2 is the answer

Keshav Sharma
Guest
Keshav Sharma

2:12 :: 3 : solve

Jalaj
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Jalaj

18

Ilyas
Guest
Ilyas

18

Lucky
Guest
Lucky

68:100::45:?

Tera Gaand Maar Dunga
Guest
Tera Gaand Maar Dunga

77

Muskan
Guest
Muskan

81

Aman
Guest
Aman

6^2 + 8^2= 100
4^2+ 5^2= 41..
41 is the answer

Sam
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Sam

15:50::80:?

Sam
Guest
Sam

and how

Anonymous
Guest
Anonymous

18

Akhalesh Kumar
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Akhalesh Kumar

15*3+5=50
80*3+5=245

Manoj
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Manoj

39:143::221:?

sujatha
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sujatha

1011:10111::11111:
find next number analogy

Akhalesh Kumar
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Akhalesh Kumar

1011*10+1=10111
11111*10=111110+1=111111

marc
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marc

8:100::12:? solve this problem

sai kiran reddy
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sai kiran reddy

4*2=8
4*25=100
6*2=12
6*25=150

Ravi Sagar
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Ravi Sagar

63:30::94:?
a) 54
b) 58
c)112
d) 52

Abdullah umar
Guest
Abdullah umar

if x=144 and y=18 what will be x:y=

Manna
Guest
Manna

x=144, y=18.
Therefore, x:y = 144:18.
144 and 18 have 18 as highest common factor (highest number which can divide both).
144/18=8. This implies, 144/18:18/18
Therefore, 144: 18= 8:1.

Ankit
Guest
Ankit

7:350 ::. ?
1) 4: 216
2) 5: 625
3) 6 : 222
4) 8: 636

Saif
Guest
Saif

12:312::10:? Solve

TUSAR RANJAN PANIGRAHI
Guest
TUSAR RANJAN PANIGRAHI

Ans-220
(10)^2+10(10+2)

Vikas
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Vikas

60:16::100:? Solve kijiye

Vikas
Guest
Vikas

60:16::100:?

jyoti rawat
Guest
jyoti rawat

10*6=60
10+6=16
10*10=100
10+10=20

Jay
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Jay

46:22::76:55::81:65::36:15::27:?
Solve this

Jay
Guest
Jay

23:29::35:128::52:13:94:?

RAM KRISHNA
Guest
RAM KRISHNA

26:39 the analogy is 19:494 how? Prove me sir

Maaz
Guest
Maaz

GO-484, BY-927, HE-?

Pragya kumar
Guest
Pragya kumar

961

guest
Guest
guest

Q 1: If x = 144 and y = 18, then x : y what

96: 12
13: 169
169: 13
256: 16

Pragya kumar
Guest
Pragya kumar

96:12

guest
Guest
guest

Q 2: Guess the next number: 19 : 361 :: 66 : ____

693
256
4356
5346

Pragya kumar
Guest
Pragya kumar

4356

Smruti Ranjan Mohapatra
Guest
Smruti Ranjan Mohapatra

fake site don’t do anything, don’t completly rely on this site , no reply , no answer, only fake assurance, no attendant present, no responsibility, the only thing I know about them is that they want only money for their business nothing else.

Sohanpal Kashyap
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Sohanpal Kashyap

34:21: ::124:? Help any one

Amarendraparida
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Amarendraparida

14:20::81:?

Prince
Guest
Prince

Slove 19:399::21?

Ekdkk
Guest
Ekdkk

483

Babli Kumari
Guest
Babli Kumari

128 147 164 173 wrong number find with explains

Shree
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Shree

find analog 7:13::9:?

sunil
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sunil

2:12::3:? solve the question

Shubhi
Guest

PST:01::NPR:?, Solve the problem

Gowda
Guest
Gowda

228:56::336: ?

1.108
2.63
3.72
4.36

Shivi manhas
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Shivi manhas

18:5::12:? Solve the problm

Arun Gyanba Kamble
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Arun Gyanba Kamble

What is answer of 64:12::72:?

aish
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aish

14

Syed shamsi
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Syed shamsi

Solve 123 : 216 :: 245 😕

Sneha
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Sneha

55:25 :: 73:?

Kaviyadharshini
Guest
Kaviyadharshini

48:122::168:?

Tirtha Lad
Guest
Tirtha Lad

PEN=16 BOAY=6

PAMPI=?

1. 21

2. 23

3. 20

4. 19

Guest
Guest
Guest

8: 72::12: ? Solve the problem

S.D.R
Guest
S.D.R

29:59::76:?
solve the problem

Arup bhattacharya
Guest
Arup bhattacharya

72:81::64:?

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