Number Analogy














Q. Find the missing number in the series 4, 23, 60, 121, ?


Options: A. 212  B. 313  C. 243  D. 332


Soln


4 = 23- 4 , 23 = 33 − 4 , 60 = 43 – 4 , 121 = 53− 4 


Next term: 63 – 4 = 216 – 4 = 212


Trick: 2³−4, 3³−4, 4³−4, 5³−4 ⇒ 6³−4 = 212


Ans: A. 212



Q)  20,40,200,400,2000, 4000, ? Option: A 8000 B 200 C 2000 D4000

Given: 20, 40, 200, 400, 2000, 4000, ?

Look at the numbers in pairs: i. 20 → 40 (double),  ii. 200 → 400 (double),  iii. 2000 → 4000 (double)

Next pair should be: 4000 → 8000 (double)

Ans: (A) 8000

 

Q. 11 : 121 :: 12 : ?

Option: A. 154 B. 169 C. 141 D. 132

Soln

Rule: Multiply the first number by 11










  • 11 × 11 = 121

  • 12 × 11 = 132


Ans: (D) 132


Q)  15    36    28


       10    20    24


        7      9     11


        12    25    ?


Option: A. 17 B. 15 C. 36 D. 35


 Soln


       C1    C2    C3


       15    36    28


       10    20    24


        7      9     11


        12    25    ?


Each Column:



  • Column 1: 15 + 7 − 10 = 12

  • Column 2: 36 + 9 − 20 = 25

  • Column 3: 28 + 11 − 24 (39 − 24 = 15) = ?


Ans: (B) 15


Q)  57, 84, 148, 273, ?


Option: A. 516 B. 423 C. 489 D. 356


 Let's find the pattern.


Differences:



  • 84 − 57 = 27

  • 148 − 84 = 64

  • 273 − 148 = 125


Notice: 27 = 3³,  64 = 4³,  125 = 5³


So the next difference should be: 6³ = 216


Therefore, 273 + 216 = 489


Ans: (C) 489


Q) 28, 33, 31, ?,  34, 39 


Option: A 34 B 35 C 36 D 37


 Given series: 28, 33, 31, ?, 34, 39


Observe the pattern:



  • 28 → 33 = +5

  • 33 → 31 = −2

  • 31 → ? = +5

  • ? → 34 = −2

  • 34 → 39 = +5


So the pattern is: +5, −2, +5, −2, +5


Therefore, 31 + 5 = 36


Check: 36 − 2 = 34


Ans: (C) 36


Q. 11529 : 72135 :: 152943 : ? 


Option : (a) 213549 b) 203448 c) 163044 d) 62034


Given:


11529 : 72135 :: 152943 : ?


Split the numbers into three parts: 11529 → 1, 15, 29 : 72135 → 7, 21, 35


Pattern hike: + 6



  • 1 + 6 = 7

  • 15 + 6 = 21

  • 29 + 6 = 35


So, each part increases by 6.


Now apply the same rule to 152943→ 15, 29, 43



  • 15 + 6 = 21

  • 29 + 6 = 35

  • 43 + 6 = 49


Therefore: 152943 → 213549


Ans: (a) 213549


Q. xy_ mx_zm_yzmxyz _ _


Option : (a)xyzmx  (b) zyxmx  (c) zутих  (d) yzxmy


Series: xy(z)m / x(y)z m /(x)yz m /xyz(mx)


Missing letters are: z → y → x → mx 


So the pattern continues as: xyz(mx)


Ans / উত্তৰ: (b) zyxmx


Q. Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.


10 : 45 :: 6 : 25 :: 9 : ?


Option: (A) 42 | (B) 40 | (C) 36 | (D) 38


Soln



  • Observe the pattern: 10 → 45 (10 × 5 − 5 = 45)

  • Now check: 6 × 5 − 5 = 25

  • So the rule is: n×5−5

  • Apply the rule for 9: 9 × 5 − 5 (45 - 5 = 40)

  • Ans: (B) 40


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