PE 4 - Numbers Analogy | Analogy & Odd One Out
In each of the following questions there is a certain relationship between first and second numbers. Find the number which has the same relationship with third as second has with first.
169 : 13 :: 289 : ?
- A.
19
- B.
17
- C.
27
- D.
23
Answer: Option B
Explanation :
√169 = 13
∴ √289 = 17
Hence, option (b).
Workspace:
122 : 170 :: 290 : ?
- A.
362
- B.
299
- C.
315
- D.
34
Answer: Option A
Explanation :
112 + 1 = 122
132 + 1 = 170
172 + 1 = 290
∴ 192 + 1 = 362
Hence, option (a).
Workspace:
49 : 81 :: 64 : ?
- A.
36
- B.
100
- C.
121
- D.
144
- E.
Answer: Option B
Explanation :
72 = 49
(7 + 2)2 = 92 = 81
⇒ 82 = 64
(8 + 2)2 = 102 = 100
Hence, option (b).
Workspace:
22 : 39 :: 45 : ?
- A.
88
- B.
85
- C.
84
- D.
86
Answer: Option B
Explanation :
22 × 2 – 4 = 39
∴ 45 × 2 – 5 = 85
Hence, option (b).
Workspace:
17 : ? :: 145 : 195
- A.
42
- B.
35
- C.
30
- D.
24
Answer: Option B
Explanation :
145 = 122 + 1
195 = 142 - 1
17 = 42 + 1
∴ ? = (4 + 2)2 - 1 = 35
Hence, option (b).
Workspace:
343 : 36 :: 2197 : ?
- A.
225
- B.
196
- C.
144
- D.
256
Answer: Option C
Explanation :
343 = 73
36 = 62 = (7 – 1)2
2197 = 133
∴ ? = (13 - 1)2 = 144
Hence, option (c).
Workspace:
38 : 121 :: 139 : ?
- A.
256
- B.
169
- C.
361
- D.
289
Answer: Option B
Explanation :
121 = 112 = (3 + 8)2
∴ ? = (1 + 3 + 9)2 = 132 = 169
Hence, option (b).
Workspace:
520 : 738 :: ? : 350
- A.
220
- B.
222
- C.
230
- D.
248
Answer: Option B
Explanation :
520 = 512 + 8 = 83 + 8
738 = 729 + 9 = 93 + 9
350 = 343 + 7 = 73 + 7
? = 63 + 6 = 216 + 6 = 222
Hence, option (b).
Workspace:
Feedback
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.