Number System : Aptitude Test (200 Questions with Explanation)
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- Formulas:-
- 0, 1, 2, 3, ----9. are called digits.
- 10, 11, 12,----- are called Number.
- Natural number (N) :- Counting numbers are called natural numbers.
Example:- 1, 2, 3,---etc. are all natural numbers. minimum natural number 1 and maximum natural
number ∞ - Whole numbers (W) :- All counting numbers together with zero from the set of whole numbers
Example:- 0, 1, 2, 3, 4, ------ are whole number. - Integers (Z) :- All counting numbers, 0 and -ve of counting numbers are called integers.
Example:- -∞---------, -3, -2, -1, 0, 1, 2, 3, -------∞ - Rational Numbers (Q) :- A Rational Number is a real number that can be written as a simple fraction
Example:- {p/q/p,q∈Z} - Irrational NUmbers :- An Irrational Number is a real number that cannot be written as a
simple fraction.
Example:- √ - Even numbers :- A number divisible by 2 is called an even number.
Example:- 0, 2, 4, 6, - - - - - - - - - - Odd numbers :- A number not divisible by 2 is called an odd number.
Example:- 1, 3, 5, 7, - - - - - - - Composite Numbers :- Numbers greater than 1 which are not prime, are called composite numbers.
Example:- 4, 6, 8, 9, 10, - - - -. 6 -> 1,2,3,6. - Prime Numbers:- A number greater than 1 having exactly two factors, namely 1 and itself is called
a prime number.
Upto 100 prime numbers are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 71, 73, 79, 83, 89, 97 - Co-prime Numbers:- Two natural numbers a and b are said to be co-prime if their HCF is 1.
Example:- (21, 44), (4, 9), (2, 3), - - - - - - Twin prime numbers :- A pair of prime numbers (as 3 and 5 or 11 and 13) differing by two are
called twin prime number.
Example:- The twin pair primes between 1 and 100 are
(3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73). - Face value:- Face value is the actual value of the digit.
Example:- In the number 7635, the "7" has a face value of 7, the face value of 3 is 3 and so on - Place value:- The value of where the digit is in the number, such as units, tens, hundreds, etc.
Example:- In 352, the place value of the 5 is "tens"
Place value of 2 * 1 = 2;
Place value of 5 * 10 = 50;
Place value of 3 * 100 = 300.
- 1. What is the place value of 7 in the numeral 2734?
A.) 70
B.) 7
C.) 700
D.) 7.00
Answer: Option 'C'
7 × 100 = 700
- 2. What is the place value of 3 in the numeral 3259
A.) 300
B.) 30
C.) 3
D.) 3000
Answer: Option 'D'
3 × 1000 = 3000
- 3. What is the diffference between the place value of 2 in the numeral 7229?
A.) 20
B.) 200
C.) 180
D.) 18
Answer: Option 'C'
200 - 20 = 180
- 4. What is the place value of 0 in the numeral 2074?
A.) 100
B.) 70
C.) 7.0
D.) 0
Answer: Option 'D'
Note : The place value of zero (0) is always 0. It may hold any place in a number,
its value is always 0.
- 5. What is the diffference between the place value and face value of 3 in the numeral 1375?
A.) 300
B.) 3
C.) 297
D.) 303
Answer: Option 'C'
place value of 3 = 3 × 100 = 300
face value of 3 = 3
300 - 3 = 297
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