In this article, you will read the definition, formula, tricks and solutions of important questions about Even Numbers.
On the previous page, we have shared the post of Natural Number, an important chapter of mathematics, so definitely read the Natural Number.
Let us read and understand the information on even numbers on this page.
What is an Even Number
Natural numbers which are exactly divisible by 2 are called even numbers.
Like :- 2, 4, 6, 8, 10, ………
The numbers which end in 2, 4, 6, 8, 0 are all even numbers.
Even Numbers from 1 to 100
| 2 | 22 | 42 | 62 | 82 |
| 4 | 24 | 44 | 64 | 84 |
| 6 | 26 | 46 | 66 | 86 |
| 8 | 28 | 48 | 68 | 88 |
| 10 | 30 | 50 | 70 | 90 |
| 12 | 32 | 52 | 72 | 92 |
| 14 | 34 | 54 | 74 | 94 |
| 16 | 36 | 56 | 76 | 96 |
| 18 | 38 | 58 | 78 | 98 |
| 20 | 40 | 60 | 80 | 100 |
Even Number Based Questions
Q.1 The sum of two consecutive even number is 180. are the number?
A.36
B.68
C.98
D.89
Suppose that
first number = x
Second number = x + 2
According to question, x + x + 2 = 180
2x + 2 = 180
2x = 180 – 2
2x = 178
x = 178/2
x = 89
Q.2 The sum of three consecutive even number is 600. are the number?
A.132
B.111
C.198
D.100
Suppose that
first number = x
Second number = x + 2
Third number = x + 4
According to Question,
x + x + 2 + x + 4 = 600
3x + 6 = 600
3x = 600 – 6
3x = 594
x = 594/3
x = 198
Q.3 The sum of four consecutive even number is 504. are the number?
A.166
B.420
C.234
D.584
Suppose that
first number = x
Second number = x + 2
Third number = x + 4
According to question, x + x + 2 + x + 4 = 504
3x + 6 = 504
3x = 504 – 6
3x = 498
x = 498/3
x = 166
Q.4 The sum of three consecutive even number is 519. is the first number?
A.171
B.88
C.198
D.200
Suppose that
first number = x
Second number = x + 2
Third number = x + 4
According to Question,
x + x + 2 + x + 4 = 519
3x + 6 = 519
3x = 519 – 6
3x = 513
x = 513/3
x = 171
first number = 171
Q.5 The sum of three consecutive even number is 114. What is the middle number among them?
A.38
B.40
C.42
D.44
Let the three consecutive even number be x, x + 2, x + 4 respectively.
According to Question,
x + x + 2 + x + 4 = 114
3x + 6 = 114
3x = 114 – 6
3x = 108
x = 36
middle number = x + 2
middle number = 36 + 2
middle number = 38
Q.6 The sum of three consecutive even number is 822. are the largest number
A.165
B.187
C.276
D.289
Let the first number = x
Second number = x + 2
Third number = x + 4
According to Question,
x + x + 2 + x + 4 = 822
3x + 6 = 822
3x = 822 – 6
3x = 816
x = 816/3
x = 272
Bigger number = x + 4
Bigger number = 272 + 4
bigger number = 276
Q.7 The sum of three consecutive even number is 1,221. are the largest number.
A.16
B.268
C.380
D.409
Let the first number = x
Second number = x + 2
Third number = x + 4
According to Question,
x + x + 2 + x + 4 = 1,221
3x + 6 = 1,221
3x = 1,221 – 6
3x = 1,215
x = 1,215/3
x = 405
Bigger number = x + 4
Bigger number = 405 + 4
bigger number = 409
Hence the largest number will be 409.
Q.8 The sum of four consecutive even number is 2,348. are number.
A.16
B.216
C.380
D.584
Solution:- According to the question,
Suppose that
first number = x
Second number = x + 2
Third number = x + 4
Fourth number = x + 6
x + x + 2 + x + 4 + x + 6 = 2,348
4x + 12 = 2,348
4x = 2,348 – 12
4x = 2,336
x = 2,348/4
x = 584
Hence the highest number will be 584.
Q.9 The sum of four consecutive even number is 4,676. is the smallest number.
A.1,620
B.1,170
C.1,180
D.2,300
Solution:- According to the question,
Suppose that
first number = x
Second number = x + 2
Third number = x + 4
Fourth number = x + 6
x + x + 2 + x + 4 + x + 6 = 4,676
4x + 12 = 4,676
4x = 4,664 – 12
4x = 4,664
x = 4,664/4
x = 1,166
Bigger number = x + 4
Larger number = 1,166 + 4
Larger number = 1,170
Hence the largest number will be 1,170.
Q.10 The sum of four consecutive even number is 5000. are the largest number.
A.1,667
B.2,680
C.3,180
D.1,251
Solution:- According to the question,
Suppose that
first number = x
Second number = x + 2
Third number = x + 4
Fourth number = x + 6
x + x + 2 + x + 4 + x + 6 = 5000
4x + 12 = 5000
4x = 5000 – 12
4x = 4,988
x = 4,988/4
x = 1,247
Bigger number = x + 4
Larger number = 1,247 + 4
Larger number = 1,251
Hence the largest number will be 1,251.
FAQ
Ans. Even number from 1 to 100 include : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100.
Ans. Odd numbers are those numbers that cannot be divided into two equal parts, whereas even numbers are those numbers that can be divided into two equal parts.
Examples of odd numbers are 3, 5, 7, 9, 11, 13, 15,…
Examples of even numbers are 2, 4, 6, 8, 10,
Ans. 12 is an even number.
Ans. Zero is an even number.
Ans. Yes, 2 is a prime number.
According to the definition of prime numbers, any whole number which has only 2 factors is known as a prime number. Now, the factors of 2 are 1 and 2. Since there are exactly two factors of 2, it is a prime number.
| Read More : | ||
| Natural Number | Even Number | Odd Number |
| Whole Number | Integer Number | Prime Number |
| Irrational Number | Real Number | Unreal Number |
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