Number Analogy Combined
Number Analogy Combined
NUMBER ANALOGY
Analogy means correspondence.
Introduction This section deals with two types of questions:
Example 1 : Find the missing term : 121 : 12 : : 25 : ?
(a) 1 (b) 2 (c) 6 (d) 7
Solution : (c) To find the missing term. Obtain the relationship as . As 121 is the square of 11. By adding 1 we get 12. Similarly, we can use this relation for next term: 25 is the square of 5. so answer is 5 + 1 = 6
Example 2 : Find the missing term: 5 : 124 : : 7 : ?
(a) 125 (b) 248 (c) 342 (d) 343
Solution : (c) To find the missing term. Obtain the relationship as . So, cube of 5 is 125. By subtracting 1 from 125, we get 124. Similarly, we can use this relation for next term: Cube of 7 is 343, By subtracting 1 , we get 342.
Example 3 : Find the missing term. 9 : 8 : : 16 : ?
(a) 27 (b) 18 (c) 17 (d) 14
Solution : (a) To find the missing term. Obtain the relationship as . So, if we take x = 3, y=2,
and
.
Similarly, we can use this relation for next term: , X = 4, Y = 2, X-1 = 4-1 = 3, Y+1 = 2+1 = 3 So, the answer is cube of 3 is 27.
Example 4 : Find the missing term: 16 : 27 :: 25 : ?
(a) 49 (b) 36 (c) 64 (d) 121
Solution : (c) In the given number analogy, first term is square of 4 and second term is cube of 3. Similarly, in case of third and fourth term. Third term is square of 5 and fourth term will be the cube of 4 is 64.
Similarly,
So, the answer is 64.
Example 5 : Select the pair in which the numbers are similarly related as in the given pair: 12 : 144
(a) 22 : 464 (b) 20 : 400 (c) 15 : 135 (d) 10 : 140
Solution: (d) The relationship is . So square of 12 is 144 and square of 20 is 400. So, correct answer is (b).
Example 6 : Select the pair in which the numbers are similarly related as in the given pair: - 11 : 1210
(a) 6 : 216 (b) 7 : 1029 (c) 8 : 448 (d) 9 : 729
Solution : (c) The relationship is So cube of 11 is 1331 and square of 11 is 121. 1331 - 121 = 1210. Similarly Cube of 8 is 512 and square of 8 is 64. 512 - 64 = 448. So option C is correct.
Example 7 : Complete the analogy: 144 : 23 :: 169: _____
(a) 34 (b) 42 (c) 24 (d) 25
Solution : So, its a tricky question. Lets start by analysing the relation between 144 and 23. So, 144 is square of 12, and number before 12 is 11. Adding 12 and 11 we get 23.
Similarly, apply this relation in next term: 169 is square of 13. and number before 13 is 12. Add 13 and 12 = 25. So option D is correct.
In each the following questions choose that set of numbers from the four alternative sets, that is similar to the given set. Given set : (6, 13, 22) | |||
| Right Option : C | |||
| View Explanation | |||
Find the missing term : 42 : 72 : : 110 : ______________ | |||
| Right Option : B | |||
| View Explanation | |||
Find the missing number : 11 : 1320 :: 12 : ? | |||
| Right Option : A | |||
| View Explanation | |||
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