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Question

The sum of two numbers is 88 and their L.C.M. is 870. The two numbers are:

This question was previously asked in
RRB Group D 2024 Question Paper PDF (21-Dec-2025) (Shift 2)
The correct answer is

30, 58

We need two numbers with sum 88 and LCM 870.

Option A: 30 and 58. Sum = 88 ✓. LCM: 30 = 2×3×5 and 58 = 2×29; LCM = 2×3×5×29 = 870 ✓.

Option D (the candidate's choice): 35 and 53. Sum = 88 ✓. But LCM(35,53) = 35×53 = 1855 ≠ 870 ✗.

The correct answer is : 30, 58.

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Important Questions from LCM and HCF

  1. Six bells begin to toll together and toll, respectively, at intervals of 3, 4, 6, 7, 8 and 12 seconds. After how many seconds, will they toll together again?

  2. A and B are two prime numbers such that A > B and their LCM is 209. The value of A 2 - B is:

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  4. Calculate the HCF of \(\frac{12}{5}\) \(\frac{14}{15}\)  and  \(\frac{16}{17}\) .

  5. Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF?

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