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Select the option in which the numbers share the same relationship as that shared by the given pairs of numbers. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 тАУ Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 18, 111 13, 81
15, 93
19, 114
12, 69
17, 104
15, 93
The correct option is A (15, 93). The underlying mathematical relationship in the given pairs is that the second number is obtained by multiplying the first number by 6 and then adding 21 (i.e., Number * 6 + 21). For 18 and 111: (18 * 6) + 21 = 108 + 21 = 129 is incorrect; let us check: 18 * 6 = 108, wait. Let's check 18 * 6 + 3 = 111? Let's check cube or difference: 111 - 18 = 93. 81 - 13 = 68. Wait, looking at Option A: 93 - 15 = 78. Let's look at the product or another rule: 18 * 6 = 108, 108 + 3 = 111; 13 * 6 = 78, 78 + 3 = 81. For Option A: 15 * 6 = 90, 90 + 3 = 93. Thus, multiplying the first number by 6 and adding 3 yields the second number.
The correct option is A (15, 93). The underlying mathematical relationship in the given pairs is that the second number is obtained by multiplying the first number by 6 and then adding 21 (i.e., Number * 6 + 21). For 18 and 111: (18 * 6) + 21 = 108 + 21 = 129 is incorrect; let us check: 18 * 6 = 108, wait. Let's check 18 * 6 + 3 = 111? Let's check cube or difference: 111 - 18 = 93. 81 - 13 = 68. Wait, looking at Option A: 93 - 15 = 78. Let's look at the product or another rule: 18 * 6 = 108, 108 + 3 = 111; 13 * 6 = 78, 78 + 3 = 81. For Option A: 15 * 6 = 90, 90 + 3 = 93. Thus, multiplying the first number by 6 and adding 3 yields the second number.
Number analogy and logical reasoning tests form an integral part of quantitative aptitude and reasoning sections in competitive exams like SSC CGL, CHSL, and Railways, evaluating numerical pattern recognition.
Identify the relationship between the first and second numbers in the given pairs without breaking down digits.
The tested operation is multiplication followed by addition: (Number ├Ч 6) + 3.
Option A successfully follows the established pattern: 15 ├Ч 6 + 3 = 93.
Operations must be performed on whole numbers as per the strict instruction of the question.
Option B (19, 114) gives 19 ├Ч 6 + 3 = 117, which does not equal 114.
Option C and Option D fail to satisfy the exact constant multiplier and addition rule.
A is correct тАФ Option A (15, 93) follows the exact mathematical pattern of multiplying the first number by 6 and adding 3.
Always test simple linear multipliers and addition/subtraction combinations before looking at squares or cubes in number analogy questions.