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What types of RRB ALP number system questions are asked in the paper?
Candidates can expect the RRB ALP number system questions asked in the paper to be related to divisibility, statement-based questions, natural numbers, and fraction-based questions.
How many questions are asked from the number system in RRB ALP?
It is expected that around 3 to 4 questions from the number system will be asked in the RRB ALP exam.
What is the difficulty level of RRB ALP number series questions asked in the paper?
Candidates can expect a moderate to difficult level of questions asked from the number series in the exam.
How can I prepare for the RRB ALP number series topic for the exam?
Candidates should have a basic knowledge of the number system and practice questions for the exam.
RRB ALP Number System Questions With Solutions, Download PDF
Divya Sharma14 Aug, 2025
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RRB ALP Number System Questions: Number System is one of the topics covered in the mathematics section of the ALP exam. Candidates who are preparing for the RRB ALP exam. They should focus on solving RRB ALP number system questions. Start by getting the RRB number system basic concepts. Get the knowledge of the number, divisibility, whole numbers, natural numbers, and many more. Then, candidates can begin solving number series problems. They know how to apply the basic concepts in attempting the questions.
RRB ALP Number System Questions
RRB ALP Number System Questions are expected to be around 3 to 4 questions in the paper. The level of the questions expected is around a moderate to difficult level. Candidates who know the basic number system concepts. They can attempt the questions asked in the ALP mathematics paper. Regular practice and conceptual knowledge can make candidates a pro in solving problems on the number series topic.
RRB Number System Basics
The RRB Number System Basics covers the natural numbers, whole numbers, prime numbers, even numbers, and odd numbers. Candidates should be able to understand the basic concepts to solve RRB ALP number system questions asked in the exam. A table has been compiled covering the basic concepts related to the number series.
RRB Number System Basics
Topic
Concept
Examples
Natural Numbers
Counting numbers starting from 1
1, 2, 3, 4… (0 not included)
Whole Numbers
All natural numbers, including 0
0, 1, 2, 3…
Integers
Positive & negative whole numbers including 0
…-3, -2, -1, 0, 1, 2, 3…
Even Numbers
Divisible by 2
-6, -4, 0, 2, 4…
Odd Numbers
Not divisible by 2
-5, -3, 1, 3, 5…
Prime Numbers
Exactly two factors: 1 and itself
2, 3, 5, 7, 11…
Composite Numbers
Numbers with factors other than 1 and itself
4, 6, 8, 9…
Co-Prime Numbers
Two numbers with no common factor other than 1
(2,3), (6,35)
Rational Numbers
Numbers expressed as p/q, q ≠ 0
2, 3/7, 2.5
Irrational Numbers
Cannot be expressed as p/q; non-terminating, non-repeating
√2, π
Real Numbers
All numbers on the number line
Includes rational & irrational numbers
Digits
Symbols 0–9 are used to form numbers
0,1,2…9
Place Value
Value of a digit based on its position
In 324: 3 → 300, 2 → 20, 4 → 4
Face Value
Value of the digit itself
In 324: 3 → 3
Proper Fraction
Numerator < Denominator
1/2, 3/7
Improper Fraction
Numerator ≥ Denominator
5/4, 13/2
Mixed Fraction
Whole number + proper fraction
1 ¼, 4 1/6
LCM
Smallest number divisible by given numbers
LCM of 4 & 6 = 12
HCF
The largest number that divides the given numbers exactly
HCF of 12 & 18 = 6
Divisibility Rules
Shortcuts to check divisibility
2: last digit 0,2,4…;
3: sum of digits divisible by 3;
5: last digit 0 or 5
Number System Tricks For Candidates
Number System Tricks are provided for the candidates to practice the questions quickly for the exam. These smart tricks are effective in using the answers without involving much calculation during the exam.
Number System Tricks For Candidates
Trick
Description
Example
Solution / Notes
Trick-1
Remainder of (x+a)n(x + a)^n when divided by xx is the same as the remainder of ana^n.
What is the remainder when 1910019^{100} is divided by 20?
Remainder when A×B×CA \times B \times C is divided by nn is the same as remainder when Amod n×Bmod n×Cmod nA \mod n \times B \mod n \times C \mod n is divided by nn.
What is the remainder when 56×58×9656 \times 58 \times 96 is divided by 13?
Candidates should start applying the number system tricks to solve RRB ALP number system questions for the exam. Consistent practice can help the candidates to get a conceptual understanding and improve their speed to face the questions.
RRB ALP Number Series Questions
SNo.
Question
Options
Solutions
1
How many whole numbers are there between 244 and 332 which are exactly divisible by 7?
(a) 15
(b) 23
(c) 8
(d) 13
(d)
2
If the number 517 * 324 is completely divisible by 3, then the smallest whole number in the place of * will be?
(a) 2
(b) 3
(c) 4
(d) 5
(a)
3
If x and y are two digits of the number 653xy such that this number is divisible by 80, then x + y =?
(a) 2
(b) 3
(c) 4
(d) 5
(a)
4
In a division sum, the divisor is 5 times the quotient and 4 times the remainder. What is the dividend, if the remainder is 5?
(a) 80
(b) 85
(c) 75
(d) 104
(b)
5
How many numbers from 1 to 100 are there?
Which is exactly divisible by 4 but also has 4 as a digit?
(a) 21
(b) 20
(c) 7
(d) 10
(c)
6
The minimum number that should be added to 2351 so that the number is divisible by 7.
(a) 1
(b) 6
(c) 5
(d) 8
(a)
7
The minimum number that should be subtracted from 8774 so that the number is divisible by 13.
(a) 1
(b) 12
(c) 5
(d) 8
(b)
8
On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the sum of the digits of the divisor.
(a) 12
(b) 19
(c) 17
(d) 21
(c)
9
When 121012 is divided by 12, the remainder is
(a) 0
(b) 2
(c) 3
(d) 4
(d)
10
The difference in the place values of 3 used at two places in the number 934530 is
(a) 29970
(b) 30070
(c) 29570
(d) 29990
(a)
11
Which of the following is a divisor of 53 – 33?
(a) 2
(b) 8
(c) 4
(d) None of these
(a)
12
What is the common factor of (1719 + 1919) and (1717 + 1917)?
(a) (19 – 17)
(b) (1717 + 1917)
(c) (1719 + 1919)
(d) (17 + 19)
(d)
13
Arrange the given ratios in descending order: (i) 7:15, (ii) 15:23, (iii) 17:25, (iv) 21:39
(a) (iii) > (i) > (ii) > (iv)
(b) (i) > (iv) > (iii) > (ii)
(c) (iii) > (ii) > (iv) > (i)
(d) (iv) > (i) > (ii) > (iii)
(c)
14
What is the sum of the greatest six-digit number and the lowest 5-digit number?
(a) 199999
(b) 109999
(c) 1009999
(d) 919999
(c)
15
Find the sum of the smallest and the greatest 3-digit numbers formed by using the digits 1, 2, 3, 4 without any repetition of digits.
(a) 1099
(b) 544
(c) 534
(d) 555
(d)
16
The least number by which 12500 should be divided to get a perfect square is
(a) 3
(b) 5
(c) 15
(d) 10
(b)
17
Which of these numbers, 6400, 125, 9261 and 4913, is not a perfect cube?
(a) 6400
(b) 125
(c) 9261
(d) 4913
(a)
18
Statement I: All natural numbers are rational numbers.
Statement-II: 1 is the smallest prime number. Choose the correct answer.
(a) Both correct
(b) Both incorrect
(c) Statement I correct, Statement II incorrect
(d) Statement-I incorrect, Statement II correct
(c)
19
What is the value of the expression 1 – 2 + 3 – 4 + 5 – 6 ... up to 100 terms?
(a) –50
(b) –55
(c) –49
(d) –60
(a)
20
What is the sum of all three-digit numbers which are divisible by 15?
(a) 41200
(b) 36825
(c) 32850
(d) 28750
(c)
RRB ALP Number System PDF
Start the preparation and practice of number system topics using the RRB ALP number system PDF. It provides a quick recap of the number system's basic concepts. Candidates get RRB ALP number system questions along with the solutions. They can solve the questions and know the different tricks to apply in the paper to get quick solutions. It is without involving in much calculations in the exam.
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