Even you

Number Theory Level 1

How many of the following 10 numbers are even integers?

0 , 1 , − 2 , 3 , − 1 , 5.0 , − 2.4 , 2 × 2 , − 2 × 3.5 , 2 2 \begin{array} {rrrrr} 0, && 1, &&-2, &&3, &&-1, \\ 5.0, &&-2.4, &&2 \times 2, &&-2 \times 3.5, &&\frac{2}{2} \end{array}


The answer is 3.

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Arron Kau by Arron Kau

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8 solutions

Shiv Gaur
Dec 17, 2013

Eveness is only with respect to Integers and not fractions. Thus 0, -2 and 2 x 2 are the three even numbers.

11 Helpful 0 Interesting 0 Brilliant 0 Confused

2.4 is decimal and decimal cannot be integer

Ankur Sharma - 7 years, 4 months ago

Correct

Mohammad Chhiddikur Rahman - 7 years, 4 months ago

that's right

Last Standing - 7 years, 5 months ago

good

Matheswari selvaraj - 7 years, 5 months ago

correct

Jaxim Farooq - 7 years, 2 months ago

but why not 2.4

Shubham Chaudhary - 7 years, 5 months ago
Prasun Biswas
Dec 21, 2013

Only 0,-2 and (2 * 2)=4 are even integers as they are divisible by 2. So, there are 3 even integers in the list.

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Pedro Loos
Dec 16, 2013

Even integers are all the numbers multiples of 2. That includes -2, -4, -8 and there goes on.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

EAAAAASSSSYYYY!!!

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Arvind Krishna
Feb 28, 2014

The only possible even integers in the given set that is divisible by 2 are 0,-2 and(2*2)=4. So the obvious answer is 3.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Vishnudatt Gupta
May 5, 2014

Eveness is only with respect to Integers and not fractions.

Thus 0, -2 and 2 x 2 are the three even numbers.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Sree Suresh
Mar 15, 2014

identifying the integers and then finding the even numbers among them thats it.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Abhishek Kumar
Feb 28, 2014

The fractions can't be included, as integers don't include them. The same goes for decimals. Hence, 0, -2 and 2 x 2 are even numbers remaining. So our answer is 3.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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