What is X in the sequence 132, 129, 124, 117, 106, 93, X ?

A.74

B.75

C.76Correct

D.77

Explanation & Solution

Correct Answer: (C) 76

The differences between consecutive terms in the sequence are consecutive prime numbers in increasing order: $132 - 129 = 3$ , $129 - 124 = 5$ , $124 - 117 = 7$ , $117 - 106 = 11$ , and $106 - 93 = 13$ . The next prime number is 17, so $X = 93 - 17 = 76$ .

हिंदी में प्रश्न एवं आदर्श उत्तर

अनुक्रम 132, 129, 124, 117, 106, 93, X में X क्या है?

A.74

B.75

C.76सही

D.77

सही उत्तर: (C) 76

श्रेणी के क्रमागत पदों का अंतर बढ़ती हुई अभाज्य संख्याएँ हैं: $132 - 129 = 3$ , $129 - 124 = 5$ , $124 - 117 = 7$ , $117 - 106 = 11$ , तथा $106 - 93 = 13$ । अगली अभाज्य संख्या 17 है, अतः $X = 93 - 17 = 76$ होगा।

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