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# Data Sufficiency

Is ab an even number ? I. a is divisible by 3. II. (b+1) is divisible by 4. The correct answer it says is II, how?? If x^a = y^b > z^c, is x = y > z? I. a = b > c II. a = b = c The answer is III, how?? If n is a n...
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I know some of my question are dumb but ....er....well, I am dumb too.

Please show me how to solve this DS question.

Given that x and Y are non-negative. What is the value of X?

I 2X+2Y=20

Statement 1 -

2x+2ythat is x+y
(5+15=20 , 8+12=20..... )
so nothing can be said abt the value of x

Statement 2 -

x-2y>=20

(30-2*5=20,40-2*9=22)
so nothing can be said abt the value of x

now combining both the statements .....
we know that both x,y are non negative
and still
x+y = 20 (limiting case ...drop the x-2y = 20(limiting case ....drop the > sign)

we now x = 20 and y = 0
no other solution will satisfy ....u can have a try
so the answer is 3 ( i.e we have to use both the statements to get the answer)

HTH
Gautam
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ab = 10a + b

Aha...! Never thought of this perspective :). I always assumed ab was the product of a and b and not as two digits of the number. I guess it cannot be assumed unless specified :)

Bharathi.
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Hi,

ab = 10a + b

10a is even.

b+1 is div by 4 --> b is odd.

so even + odd = odd

So only ii is enough to answer

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Hi bhars,
i think the ans is III...i.e the Q can be answered by using both the statements together.
cos...
(a) implies tat '#' cud b '+' or '-'
(b) implies tat '#' cud b '+' or '*'
so no definite ans considering the statements individually,BUT if we combine them
then '#' sign surely represents '+'...n then we can find the value of 10#20 i.e 10+20=30

regards,

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If the symbol # represents one of the following operations: addition, subtraction , multiplication or division, what is the value of 10#20?

a.2#0 =2
b.2#2 = 4.

:) Bharathi

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When dealing with powers, you should see a few things.
(i) The sign of those numbers
(ii) whether the powers are odd or even
(iii) If the numbers are 1.

Thanks for this tip.
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Is ab an even number ?
I. a is divisible by 3.
II. (b+1) is divisible by 4.

All u can say is b is odd. a could be odd (in which case ab would be odd) or a could be even(in which case ab would be even). Answer as said by Arcade, is 4.

If x^a = y^b > z^c, is x = y > z?
I. a = b > c
II. a = b = c

When dealing with powers, you should see a few things.
(i) The sign of those numbers
(ii) whether the powers are odd or even
(iii) If the numbers are 1.

Only if all of these are given directly or indirectly, we can solve the problem. Since NOTHING has been said about x, y and z (whether integers, fractions
Bharathi.
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hi
i think the answer 2 the first question shud b choice 3.. from second option we get b is an odd number.. but we don't know anthg abt a.. it can even b a frction.. from the fact that a is a multiple of 3, we know that a is also an integer. so we can safely say that ab will b odd...

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If x^a = y^b > z^c, is x = y > z?
I. a = b > c
II. a = b = c

III] The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
.

How come both the statements can hold true at the same time !!
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I wud say
take a=3k
b is odd as (b+1) divisible by 4

so No.=ab= 3bk=Odd no. x k

Now depending on k the No. wud change so it shud b IV

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a is divisible by 3, so it is an odd number.
Dan

What do u say about a=12
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hi shub

Is ab an even number ?
I. a is divisible by 3.
II. (b+1) is divisible by 4.

The correct answer it says is II, how??

I think the correct answer is not II. it shud be III
a is divisible by 3, so it is an odd number.
(b+1) is divisible by 4,so (b+1) is a even number and hence b an odd number
As both a and b are odd numbers their product can never be an even number. therefore ab is an odd number. i.e the question can be solved using both I and II

If n is a natural number, is n ! I. n is an even number.
II. x > n

case 1)Taking n as 1 and x as 10, we get 1=1
case 2)with n as 2 and x as 10 , we get 2 case 3)with n as 2 and x as 1 , we get 2 > 1.5

so case 2 results r consistent(the other combinations do not result in a consistent 'yes' or 'no')

thus the answer is III..it can be answered using both the statements together.

If x^a = y^b > z^c, is x = y > z?
I. a = b > c
II. a = b = c

sounds tricky!

Dan
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Is ab an even number ?
I. a is divisible by 3.
II. (b+1) is divisible by 4.

The correct answer it says is II, how??

If x^a = y^b > z^c, is x = y > z?
I. a = b > c
II. a = b = c

If n is a natural number, is n ! I. n is an even number.
II. x > n

I] The question can be answered by one of the statements alone, but cannot be answered by using the other statement alone.

II] The question can be answered by using either statement alone.

III] The question can be answered by using both the statements together, but cannot be answered by using either statement alone.

IV] The question cannot be answered even by using both statements together.

WE shall follow the same options in all the DS questions.

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