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# Mani, Sani and Karna have x, y and z number of chocolates respectively

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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
Mani, Sani and Karna have x, y and z number of chocolates respectively  [#permalink]

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28 Jun 2018, 10:04
1
3
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Difficulty:

45% (medium)

Question Stats:

62% (01:41) correct 38% (01:42) wrong based on 123 sessions

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Mani, Sani and Karna have x, y and z number of chocolates respectively. Does Sani have the average of the total number of chocolates among all three?

(1) y is 20% more than z and 25% less than x.

(2) x = 32.
Math Expert
Joined: 02 Aug 2009
Posts: 7103
Re: Mani, Sani and Karna have x, y and z number of chocolates respectively  [#permalink]

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28 Jun 2018, 18:27
Mani, Sani and Karna have x, y and z number of chocolates respectively. Does Sani have the average of the total number of chocolates among all three?

Is x+z=2y??

(1) y is 20% more than z and 25% less than x.
Since it gives us a ratio between 3, should be sufficient..
Let z=100, y=120% of 100=120
Also y=75% of X.....120=75% of X
X=120*4/3=160
So 100,120,160
Y is not the average
Sufficient

(2) x = 32.
Insufficient

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Joined: 13 Oct 2013
Posts: 136
Concentration: Strategy, Entrepreneurship
Mani, Sani and Karna have x, y and z number of chocolates respectively  [#permalink]

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07 Oct 2018, 00:55
Hi Chetan2u
I did not understand this part "x+z=2y??"
should not it be, y= x+y+z/3?

chetan2u wrote:
Mani, Sani and Karna have x, y and z number of chocolates respectively. Does Sani have the average of the total number of chocolates among all three?

Is x+z=2y??

(1) y is 20% more than z and 25% less than x.
Since it gives us a ratio between 3, should be sufficient..
Let z=100, y=120% of 100=120
Also y=75% of X.....120=75% of X
X=120*4/3=160
So 100,120,160
Y is not the average
Sufficient

(2) x = 32.
Insufficient

A

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Joined: 02 Aug 2009
Posts: 7103
Re: Mani, Sani and Karna have x, y and z number of chocolates respectively  [#permalink]

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09 Oct 2018, 00:01
sunita123 wrote:
Hi Chetan2u
I did not understand this part "x+z=2y??"
should not it be, y= x+y+z/3?

chetan2u wrote:
Mani, Sani and Karna have x, y and z number of chocolates respectively. Does Sani have the average of the total number of chocolates among all three?

Is x+z=2y??

(1) y is 20% more than z and 25% less than x.
Since it gives us a ratio between 3, should be sufficient..
Let z=100, y=120% of 100=120
Also y=75% of X.....120=75% of X
X=120*4/3=160
So 100,120,160
Y is not the average
Sufficient

(2) x = 32.
Insufficient

A

hi..

it is same..
$$y=\frac{x+y+z}{3}.........3y=x+y+z........2y=x+z$$
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Re: Mani, Sani and Karna have x, y and z number of chocolates respectively &nbs [#permalink] 09 Oct 2018, 00:01
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