Mathematics Previous Year Questions 2026 | RPF Constable

Mathematics - MOST IMPORTANT RPF Constable Previous Year Questions

Practice real questions from previous year exams of RPF Constable.

📘 Fractions and Decimals📚 Fraction Comparison and Ordering
Q1

Find the least among these fractions: 110,1100,91000,50010000\displaystyle \dfrac{1}{10}, \dfrac{1}{100}, \dfrac{9}{1000}, \dfrac{500}{10000}.

🎯 RRB RPF Constable -17/01/2019 (Shift-I)
📘 Fractions and Decimals📚 Fraction Comparison and Ordering
Q2

Which of the following sets of decimal numbers is in ascending order?

🎯 RRB RPF Constable -17/01/2019 (Shift-III)
📘 BODMAS with Decimals📚 Decimal BODMAS with Powers
Q3

Find the value of the given expression:
0.50.5+0.5(0.5)2+0.375(0.5)3+0.25(0.5)4\displaystyle \dfrac{0.5}{0.5} + \dfrac{0.5}{(0.5)^2} + \dfrac{0.375}{(0.5)^3} + \dfrac{0.25}{(0.5)^4}

🎯 RRB RPF Constable 12/03/2025 (Shift-II)
📘 Approximation and Estimation📚 Decimal Place Approximation
Q4

The value of 0.0006697 rounded to three digits of decimal will be:

🎯 RRB RPF Constable -22/01/2019 (Shift-I)
📘 BODMAS with Decimals📚 Terminating Decimal BODMAS
Q5

Find the value of 0.1404 ÷0.06\displaystyle \div 0.06:

🎯 RRB RPF Constable -18/01/2019 (Shift-I)
📘 Word Problems with One Variable📚 Fraction Numerator Denominator Problems
Q6

If 3 is added to the numerator and the denominator of a fraction, it becomes 1011\displaystyle \dfrac{10}{11}. And if 4 is subtracted from the numerator and the denominator, then it becomes 34\displaystyle \dfrac{3}{4}. What is the fraction?

🎯 RRB RPF Constable -25/01/2019 (Shift-III)
📘 Algebraic Divisibility Patterns📚 a Power n plus b Power n Divisible by a plus b when n is Odd
Q7

(73^{53} + 83^{53}) is divisible by:

🎯 RRB RPF Constable 06/03/2025 (Shift-I)
📘 Divisibility Rules📚 Divisibility by Composite Numbers
Q8

What is the smallest 5-digit number exactly divisible by 999?

🎯 RRB RPF Constable 04/03/2025 (Shift-I)
📘 Divisibility Missing Digit and Number Formation📚 Finding Missing Single Digit for Divisibility by 3 9 or 11
Q9

If the 7-digit number 689K348 is divisible by 9, then the value of K is:

🎯 RRB RPF Constable 18/03/2025 (Shift-I)
📘 Divisibility Rules📚 Divisibility by 7 13 and Other Primes
Q10

Which of the following numbers is divisible by 7?
a) 171
b) 119
c) 701
d) 387

🎯 RRB RPF Constable 12/03/2025 (Shift-II)
📘 Classification and Identification of Numbers📚 Counting Numbers in a Given Range
Q11

How many two-digit numbers are divisible by 5?

🎯 RRB RPF Constable 03/03/2025 (Shift-I)
📘 Divisibility Missing Digit and Number Formation📚 Finding Missing Single Digit for Divisibility by 3 9 or 11
Q12

Find the value of A for which the number 7365A2 is divisible by 9.

🎯 RRB RPF Constable 05/03/2025 (Shift-I)
📘 Divisibility Missing Digit and Number Formation📚 Finding Missing Single Digit for Divisibility by 3 9 or 11
Q13

What least value must be given to 'a' so that the number 3a4860115 is exactly divisible by 9?

🎯 RRB RPF Constable 07/03/2025 (Shift-I)
📘 Divisibility Rules📚 Divisibility by Composite Numbers
Q14

A seven-digit number is divisible by 77. If 91 is added to this number, the resulting number is always divisible by which of the following numbers?

🎯 RRB RPF Constable 17/03/2025 (Shift-III)
📘 Divisibility Missing Digit and Number Formation📚 Finding Missing Single Digit for Divisibility by 3 9 or 11
Q15

What will be the smallest value of m such that the five-digit number 1m813 is divisible by 11?

🎯 RRB RPF Constable 07/03/2025 (Shift-II)
📘 Classification and Identification of Numbers📚 Counting Numbers in a Given Range
Q16

How many numbers up to 310 are divisible by 8?

🎯 RRB RPF Constable 02/03/2025 (Shift-II)
📘 Classification and Identification of Numbers📚 Counting Numbers in a Given Range
Q17

How many total tens digit in the calculation from series 1 to 99?

🎯 RRB RPF Constable 17/01/2019 (Shift-II)
📘 Classification and Identification of Numbers📚 Prime and Composite Numbers Identification
Q18

Which of the following numbers is prime?

🎯 RRB RPF Constable -17/01/2019 (Shift-III)
📘 Properties of Even Odd and Consecutive Numbers📚 Product of Even and Odd Numbers
Q19

What will be the product of the smallest prime number and any whole number (except 0)?

🎯 RRB RPF Constable -20/01/2019 (Shift-II)
📘 Classification and Identification of Numbers📚 Smallest and Largest of Number Types
Q20

Calculate the difference between the largest and the smallest two-digit prime number.

🎯 RRB RPF Constable -17/01/2019 (Shift-I)