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Number System Questions for Railway Exams

Railway Number System Questions bring together the Number System questions available from Railway papers on PrepShots. Practise across the different exams in this group, compare the question mix and open any question to view its complete solution.

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Number System Railway Questions

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Q1The 7-digit number 71A510B is divisible by 3. What is the maximum value of (A + B)?
RRB Section Controller2025Divisibility and Remainder
Q2The 7-digit number 98A038B is divisible by 3. What is the maximum value of (A + B) ?
RRB Section Controller2025Divisibility and Remainder
Q3The 7-digit number 34A690B is divisible by 3. What is the maximum value of (A + B) ?
RRB Section Controller2025Divisibility and Remainder
Q4The 7-digit number 23A908B is divisible by 3. What is the maximum value of (A + B)?
RRB Section Controller2025Divisibility and Remainder
Q5The 7-digit number 82A337B is divisible by 3. What is the maximum value of (A + B) ?
RRB Section Controller2025Divisibility and Remainder
Q6Which of the following numbers is completely divisible by 6?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q7Which of the following digits should replace X so that the three-digit number 2X2 is divisible by 4?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q8A transaction code 92419 is not divisible by 13. To make it divisible by 13, the least digit should be appended at the end of the number. What is that digit?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q9The least number which when increased by 7 is divisible by each of the numbers 32, 36, 54 and 64 is:
RRB Section Controller2025LCM and HCF
Q10The sum of the digits of the greatest number that will divide 1359, 1871 and 2767 leaving the same remainder 15 in each case is:
RRB Section Controller2025LCM and HCF
Number System Questions for Railway Continue with short revision, PYQs and timed practice for the exams in this category.
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Q11The largest four-digit number which when divided by 7, 6 and 10 leaves the remainder 5 in each case, is:
RRB NTPC (UG) CBT-I2026LCM and HCF
Q12The largest four-digit number which when divided by 15, 12 and 14 leaves remainder 5 in each case is:
RRB NTPC (UG) CBT-I2026LCM and HCF
Q13If the LCM of two numbers is 192 and their HCF is 32. If the first number is 64, find the second number.3197
RRB Group D2025LCM and HCF
Q14The sum of two numbers is 50 and their LCM is 429. The two numbers are:2607
RRB Group D2025LCM and HCF
Q15The sum of two numbers is 60 and their HCF and LCM are 12 and 72 respectively. Then find the sum of the reciprocals of the two numbers.
RRB Group D2025LCM and HCF
Q16The sum of two numbers is 88 and their L.C.M. is 870. The two numbers are:
RRB Group D2025LCM and HCF
Q17The sum of two numbers is 54 and their LCM is 195. The two numbers are:
RRB Group D2025LCM and HCF
Q18If the HCF of three numbers is 23 and they are in the ratio 1:2:3, then the numbers are:
RRB Group D2025LCM and HCF
Q19If the HCF of two numbers is 12 and their product is 2160, what is the LCM of the two numbers?
RRB Group D2026LCM and HCF
Q20The product of two numbers is 324 and their HCF is 3. Then their LCM will be:
RRB Group D2026LCM and HCF
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