1. Select the number pair in the options in which the two numbers are related in the same way as the given pair has two numbers 243 : 164 :: ?
A) 200 : 165 B) 219 : 63 C) 135 : 71 D) 154 : 56
Sol: In the given pair 2 × 4 × 3 = 24
1 × 6 × 4 = 24
If you see option (B), 2 × 1 × 9 = 18
6 × 3 = 18
Ans: B
2. In the following question, select the related number from the given alternatives. 5624 : 52 :: 9723 : ?
A) 54 B) 74 C) 76 D) 56
Sol: In the first set, 5624
↓
(5 + 6 + 2) × 4
=13 × 4 = 52
Similarly, 9723
↓
(9 + 7 + 2) × 3
=18 × 3 = 54
Ans: A
3. In the following question, select the related number from the given alternatives. 2345 : 24 :: 3567 : ?
A) 18 B) 27 C)54 D) 94
Sol: In the given set
2345 ⇒ 2 × (3 + 4 + 5) = 24
Similarly,
3567 ⇒ 3 × (5 + 6 + 7) = 3 × (18) = 54
Ans: C
4. In the following question, find the related number from the given alternatives. 236 : 461 :: 392 : ?
A) 456 B) 617 C) 723 D) 919
Sol: In this question, if we observe 236 + x = 461
⇒ x = 461− 236 ⇒ 225
In the same way,
392 + 225 = 617
Ans: B
5. Select the number pair in which the two numbers are related in the same way as the two numbers of the following number pair are related. 234 - 99
A) 123 - 50 B) 144 - 129 C) 623 - 50 D) 238 - 96
Sol: In this question, logic is
234 ⇒ 23 + 33 + 4 3 = 8 + 27 + 64 =99
In the similar way, option (B),
144 ⇒ 13 + 43 + 43 =1 + 64 + 64 = 129
Ans: B
6. Select the option which is related to the third number in the same way as the second number is related to the first number. 437 : 28 :: 596 : ?
A) 30 B) 35 C) 40 D) 80
Sol: Here, logic is
437 ⇒ 4 + 3 + 7 = 14 ⇒ 14 × 2 = 28
437 : 28
Similarly, 596 ⇒ 5 + 9 + 6 = 20
⇒ 20 × 2 = 40
Ans: C
7. Select the option which is related to the first number in the same way as the third number is related to the fourth number and the fifth number is related to the sixth number. 169 : ? :: 225 : 60 :: 324 : 72
A) 52 B) 56 C) 62 D) 45
Sol: If you observe this question carefully, the numbers 169, 225 and 324 are perfect squares.
225 ⇒ 152 ⇒ for 60 ⇒ 15 × 4
324 ⇒ 182 ⇒ for 72 ⇒ 18 × 4
Now 169 ⇒ 132 ⇒ 13 × 4 = 52
Ans: A
8. Select the option that is related to the third number in the same way as the second number is related to the first number. 2809 : 53 :: 1504 : ?
A) 31 B) 32 C) 33 D) 35
Sol: Here, in the question it is clearly said that, how the second number is related with, so we have to start with second number and try to find the logic
9. Select the option that is related to sixth term in the same way as the first term is related to the second term and the third term is related to the fourth term. 653 : 13 :: 478 : 18 :: ? : 16
A) 594 B) 135 C) 672 D) 863
Sol: Here, logic is
653 ⇒ 6 + 5 + 3 ⇒ 14 ⇒ (14 −1) = 13
478 ⇒ 4 + 7 + 8 ⇒19 ⇒ (19 −1) =18
so if check options
594 ⇒ 5 + 9 + 4 ⇒ 18 ⇒ (18 −1) = 17
135 ⇒ 1 + 3 + 5 ⇒ 9 ⇒ (9 −1) = 8
672 ⇒ 6 + 7 + 2 ⇒ 15 ⇒ (15 −1) = 14
863 ⇒ 8 + 6 + 3 ⇒ 17 ⇒ (17 − 1) = 16
Ans: D
10. Select the option that is related to the third number in the same way as the second number is related to the first number and sixth number is related to the fifth number 67 : 54 :: 43 : ? :: 72 : 63
A) 25 B) 36 C) 28 D) 43
Sol: Here, First set ⇒ 67 ⇒ 6 + 7 = 13
67 − 13 = 54
Third set 72 ⇒ 7 + 2 ⇒ 9
72 − 9 = 63
In the similar way,
43 ⇒ 4 + 3 = 7
43 −7 = 36
Ans: B
11. Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number. 18 : 162 :: 8 : ? :: 14 : 98
A) 82 B) 32 C) 42 D) 64
Sol: Here logic is
18 × (half of 18) = 18 × 9 =162
14 × (half of 14) = 14 × 7 = 98
In the similar way
8 × 4 = 32
Ans: B
12. Select the option that is related to the third number in the way as the second number is related to the first number and the sixth number is related to the fifth number.82 : 69 :: 33 : ? :: 25 : 37
A) 15 B) 38 C) 32 D) 30
Sol: The logic is....
82 ⇒ 8 2 ⇒ 64 ⇒ 64 + 5 = 69
25 ⇒ 2 5 ⇒ 32 ⇒ 32 + 5 = 37
33 ⇒ 3 3 ⇒ 27 ⇒ 27 + 5 = 32
Ans: C
13. Select the number pair in which the two numbers are related in the same way as the two number in the following number pair are related. 17 : 255
A) 20 : 400 B) 23 : 483 C) 25 : 650 D) 17 : 289
Sol: 17 ⇒ 17 − 1 ⇒ 16 ⇒ 162 ⇒ 256
↓
256 − 1 = 255
In the similar way, If you see option (B)
23 ⇒ 23 −1 ⇒ 22 ⇒ 222 ⇒ 484
↓
484 −1= 483
Ans: B
14. In the following question, select the related number from the given alternatives. 734 : 42 :: 254 : ?
A) 20 B) 35 C) 40 D) 60
Ans: A
15. Select the number pair in which the two numbers are related in the same way as are the two number pair. 6 : 108
A) 7 : 147 B) 8 : 180 C) 9 : 100 D) 12 : 96
Sol: In this question logic is
6 ⇒ 6 2 ⇒ 36 ⇒ 36 × 3 = 108
7 ⇒ 7 2 ⇒ 49 ⇒ 49 × 3 = 147
Ans: A
16. Find out the set of number amongst the four sets of numbers given in the alternatives which is most like the set given in the questions. (7, 9, 17)
A) (2, 3, 9) B) (5, 6, 12) C) (8, 10, 20) D) ( 11, 13, 18)
Sol: Here, the logic is...
(7, 9, 17) ⇒ 7 + 9 ⇒ 16 ⇒ 16 + 1 = 17
Similarly,
(5, 6, 12) ⇒ 5 + 6 ⇒ 11 ⇒ 11 + 1 = 12
Ans: B
17. Find the correct answer from the options, that is similar to the given group. (29, 31, 37)
A) (17, 21, 29) B) (31, 37, 39) C) (13, 15, 23) D) (41, 43, 47)
Sol: (29, 31, 37) Here, if you abserve all the numbers in this set are prime number
In the option (A), 21 is not prime
In the option (B), 39 is not prime
In the option (C), 15 is not prime.
In the option (D), (41, 43, 47) are prime numbers.
Ans: D
18. Select the related number from the given alternatives. 357 : 1 :: 826 : ?
A) 3 B) 1 C) 2 D) 4
Sol: Here, the logic is..
357 ⇒ 3 + 5 ⇒ 8 ⇒ (8 − 7) = 1
Similarly,
826 ⇒ (8 + 2) ⇒ 10 ⇒ (10 − 6) = 4
Ans: D
19. Find out a set of numbers given in the alternatives, which is the most similar to the numbers given the question set. (7, 40, 140)
A) (6, 24, 70) B) (6, 80, 100) C) (3, 5, 26) D) (8, 48, 192)
Sol: Here, the logic is.... (7, 40, 140)
Ans: D
20. In the following question, select the related number from the given alternatives. 7324 : 32 :: 9833 : ?
A) 44 B) 75 C) 42 D) 68
