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Divisibility and Remainder Questions for Railway Exams

Railway Divisibility and Remainder Questions bring together the Divisibility and Remainder 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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Divisibility and Remainder 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 7-digit number 46A484B is divisible by 24. What is the minimum value of (A + B)?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q10The 7-digit number 32A776B is divisible by 24. What is the minimum value of (A + B)?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Divisibility and Remainder Questions for Railway Continue with short revision, PYQs and timed practice for the exams in this category.
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Q11Which of the following numbers is not divisible by 88?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q12In a division sum, the divisor is 2 times the quotient and 4 times the remainder. If the remainder is 22, what is the dividend?
RRB ALP CBT-I2026Divisibility and Remainder
Q13In a division sum, the divisor is 10 times the quotient and 6 times the remainder. If the remainder is 25, what is the dividend?
RRB ALP CBT-I2026Divisibility and Remainder
Q14In a division sum, the divisor is 14 times the quotient and 5 times the remainder. If the remainder is 56, what is the dividend?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q15In a division sum, the divisor is 5 times the quotient and 4 times the remainder. If the remainder is 15, what is the dividend?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q16In a division sum, the divisor is 2 times the quotient and 3 times the remainder. If the remainder is 10, what is the dividend?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q17In a division sum, the divisor is 9 times the quotient and 3 times the remainder. If the remainder is 42, what is the dividend?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q18A number leaves a remainder of 2 when divided by 5 and a remainder of 3 when divided by 7. What is the smallest positive integer that satisfies both conditions?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q19Nisha noted the number 76488 in her register. What is the remainder when it is divided by 8?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
Q20A positive integer N divides 228, leaving a remainder of 18. What is the greatest two-digit value of N?
RRB NTPC (UG) CBT-I2026Divisibility and Remainder
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