Elitmus
Exam
Numerical Ability
Number System
four distinct odd numbers (w^2+x^2) (y^2+z^2) is always divisible by
op:
1
4
5
10
Read Solution (Total 16)
-
- answer will be 4 because-
1.square of odd number will be an odd number...(w^2=odd) similarly the others.
2. sum off 2 odd numbers will be an even number.(w^2+x^2)=even
3.multiplication of 2 even numbers will be an even number.(w^2+x^2)*(y^2+z^2)
4.One even number can be divisible by 2. so multiplication of 2 even numbers can be divisible by 4.
- 8 years agoHelpfull: Yes(16) No(1)
- sorry op;
2
4
5
10
i think 4
- 8 years agoHelpfull: Yes(5) No(1)
- Ans is 2: Because square of odd number will be odd and sum of two odd number is even
and every even number is divisible by 2
- 8 years agoHelpfull: Yes(2) No(1)
- always divisible by 1
- 8 years agoHelpfull: Yes(2) No(3)
- answer is 2 because
1.odd*odd=odd
2.odd+odd=even
3.even*even=even
All even number divisible by 2(not necessary that all even number will be divisible by 4 ,5 and 10) - 8 years agoHelpfull: Yes(2) No(0)
- answer is 1
because any number is easily divisible by 1 its not matter that that is even or odd - 8 years agoHelpfull: Yes(1) No(5)
- the answer is 4
- 8 years agoHelpfull: Yes(1) No(0)
- the soln. will be divisible by all..... 1,2 and 4
and not divisible by 5 and 10. - 8 years agoHelpfull: Yes(1) No(1)
- let put numbers 3,5,7,9
we have (3^2+5^2)*(7^2+9^2)=34*130 i.e. divisible by 10
one more time we can swap values and answer will still be divisible by 10
hence answer is 10
please correct if I am wrong. - 8 years agoHelpfull: Yes(1) No(2)
- addition of two odd numbers give you an even number and multiplication of even number is always even number.So it is divisible by 4
- 8 years agoHelpfull: Yes(0) No(0)
- on squaring of odd no we will gate an odd no.
i.e- 3*3=9
5*5=25
and we know addition of two odd numbers will give an even no
so,
(w*w+x*x)=even which is divisible by 2
y*y+z*z=even which is also divisible by 2
now
(w*w+x*x)(y*y+z*z) will be devisible by 2*2+4
- 8 years agoHelpfull: Yes(0) No(0)
- 4
summation of two odd squares will leave an even number in two brackets. One two from each bracket will lead to a divisibility by 4. - 8 years agoHelpfull: Yes(0) No(0)
- take w=2,x=3,y=4,z=5
u will get 533 which is divisible by 1 not by 2or 4 - 8 years agoHelpfull: Yes(0) No(9)
- all are true
- 8 years agoHelpfull: Yes(0) No(4)
- correct option is 4
odd^2=odd
even+even=even
and even*even=even - 8 years agoHelpfull: Yes(0) No(0)
- Same question they have asked for me one month before.
- 7 years agoHelpfull: Yes(0) No(0)
Elitmus Other Question