Analogy All Reasoning Aptitude

The patten is 2n² + 1

Consider the given sequence {5, 10, 17} → 2² + 1 = 5, 3² + 1 = 10, 4² + 1 = 17

Similarly,

{37, 50, 65} → 6² + 1 = 37, 7² + 1 = 50, 8² + 1 = 65

Hence, the correct answer is C. {37, 50, 65}.

Let's try to figure out the relationship between the numbers in the given number pair: 13 : 338.

One possible pattern that fits is squaring the first number and then multiplying by 26:

13² = 169
169 * 2 = 338

Now, let's apply the same pattern to the answer choices:

A. 9² = 81
   81 * 2 = 162 (not the same)

B. 15² = 225
   225 * 2 = 450 (not the same)

C. 8² = 64
   64 * 2 = 128 (matches the pattern)

D. 5² = 25
   25 * 2 = 50 (not the same)

The set of numbers that is similar to 13 : 338, following the pattern, is:

C. 8:128

The pattern followed is

7 : 54

7 : 7² + 5

Option 1:

8 : 69

8 : 8² + 5

Option 2:

15 : 224

15 : 15² – 1

Option 3:

4 : 17

4 : 4² + 1

Option 4:

9 : 81

9 : 9²

Hence, option A is the correct answer.

The pattern followed is,

20 × 2 + 2 = 42, 72 - 42 = 30

Similarly,

18 × 2 + 2 = 38, 68 - 38 = 30

Hence, D. (18, 38, 68) is the correct answer

The pattern followed is

33 × 6 = 198

Similarly,

19 × 6 = 114

So,

19 : 114

Hence,  C. “114” is the correct answer.

The pattern in the given set (11, 16, 31) involves increasing differences:

The difference between the second and first terms is 5.
The difference between the third and second terms is 15.

Among the options:

A. (17, 22, 37) matches this pattern.

So, the correct answer is:

A. (17, 22, 37)

The pattern is as follows:

For the first set:
4262 = 4 + 2 + 6 + 2 = 14
4271 = 4 + 2 + 7 + 1 = 14

For the second set:
2139 = 2 + 1 + 3 + 9 = 15
2346 = 2 + 3 + 4 + 6 = 15

For the third set:
7132 = 7 + 1 + 3 + 2 = 13
9521 = 9 + 5 + 2 + 1 = 17
2572 = 2 + 5 + 7 + 2 = 16

Both 2139 and 2346 add up to 15.

Therefore, B. 2346 is the correct answer following the same pattern.

"Flower" is related to "Bouquet" in the sense that a bouquet is a collection of flowers. 

Following the same pattern, "Animal" is related to "Herd" because a herd is a group of animals.

So, the correct answer is:

A. Herd

The pattern or logic applied here is as follows:

11 : 242 → 11 : (112 × 2)

15 : 375 → 15 : (152 × 2), where (152 × 2) does not equal 375.

5 : 52 → 5 : (52 × 2), where (52 × 2) does not equal 52.

8 : 128 → 8 : (82 × 2), where (82 × 2) equals 128.

9 : 729 → 9 : (92 × 2), where (92 × 2) does not equal 729.

Therefore, the option B. '8 : 128 is the correct option following the same pattern.

The pattern or logic applied here is: 

(1st number + 3rd number) × 2 = 2nd number

(25, 144, 47) follows this pattern as (25 + 47) × 2 = 72 × 2 = 144.

 (16, 82, 23) does not follow the pattern as (16 + 23) × 2 = 39 × 2 ≠ 82.

(9, 72, 8) does not follow the pattern as (9 + 8) × 2 = 17 × 2 ≠ 72.

(15, 96, 340) does not follow the pattern as (15 + 340) × 2 = 355 × 2 ≠ 96.

(19, 78, 20) follows the pattern as (19 + 20) × 2 = 39 × 2 = 78.

Therefore, the correct answer is B. (19, 78, 20).