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Number system
Quantitative aptitude
B GAYATHRI
EXECUTIVE TRAINER
Why number system……
The number system is a fundamental topic in
competitive exams because it's the basis for many
mathematical operations and concepts. A strong
understanding of number systems is essential for
solving questions in other areas, such
as: simplification, ratio and proportion, percentage,
profit and loss, and averages.
ered…
DIVISIBILITY RULE
FINDING UNIT DIGIT
PRACTICE QUESTIONS
PLACE VALUE & FACE VALUE
Number System Basics for Aptitude preparation
t is prime number…..????
How?
Is 39 a prime number?
YES
Its your turn…
NO
DIFFERENCE BETWEEN PLACE & FACE VALUE
What is the numerical difference between
the place value and face value of 6 in the
number 48697?
600 – 6 = 594
What is the numerical sum of the place
value and face value of 2 in the number
352435?
2000 + 2 = 2002
….
If the number 97215A6 is divisible by
11, find the smallest whole number in
the place of A.
3
8
6
4
bility rule
What is the rule
for 7..?
isibility rule of 7, 11 & 13
Is 325687 divisible by
7?
YES
NO
Its your turn…
….
If the number 97215A6 is divisible by
11, find the smallest whole number in
the place of A.
3
8
6
4
TRY TO SOLVE….
Which of the following numbers are divisible
by 2, 5 and 10?
149
30000
19400
720345
TRY TO SOLVE….
Check whether the numbers are divisibility
by 4:
23408
150126
34972
100246
TRY TO SOLVE….
In each of the following numbers without doing actual division,
determine whether the first number is divisible by the second number:
3409122 ; 6
11309634; 8
2450 ; 7
17218 ; 3
TRY TO SOLVE….
If the number 1005x4 is completely divisible by 8, then the
smallest integer in place of x will be:
0
2
4
1
Number System Basics for Aptitude preparation
What is Unit Digit….??
Number System Basics for Aptitude preparation
CYCLICITY OF NUMBERS
DIGIT 4 AND 9
4 ^ (odd) = 4
4 ^ (Even) = 6
9 ^ (odd) = 9
9 ^ (Even) = 1
249^33 + 254^36 + 256^133
Find unit digit of
9 + 6 + 6 = 21
The Answer is 1.
CYCLICITY OF NUMBERS
DIGIT 2, 3, 7 AND 8
Eg : 212 ^ 79
Divide the power by 4
79 / 4.
The remainder is 3
Hence, 2^3 = 8.
The unit digit is 8.
25^6527 + 36^526 + 73^54
Find unit digit of
0
The Answers are
3
2
3

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Number System Basics for Aptitude preparation