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23 Dec 2025, 02:49
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Let's write a sweetness scale (we do not know anything about the sweetness distance between Mangoes, Apples and Lemons, we have only the order) :
M---|--A----|---L
the "|" represents the sweetness points of an equal weighted fruit salad of the two. Now we must think that with a fruit mix of M and A we stand between M and A for the sweetness, while with a mix of A and L we stay between A and L and with a fruit salad of M and L we can stay between M and L (before or after A, we do not know).
The question is if Mangoes are present in the salad.
I) The sweetness of the salad is less than A. => it can be made of A&L or M&L => NOT SUFFICIENT
II) Fruit salad sweeter than a mix of A&L => it can be M&L or M&A, both cases contains mango => SUFFICIENT
IMO B!
M---|--A----|---L
the "|" represents the sweetness points of an equal weighted fruit salad of the two. Now we must think that with a fruit mix of M and A we stand between M and A for the sweetness, while with a mix of A and L we stay between A and L and with a fruit salad of M and L we can stay between M and L (before or after A, we do not know).
The question is if Mangoes are present in the salad.
I) The sweetness of the salad is less than A. => it can be made of A&L or M&L => NOT SUFFICIENT
II) Fruit salad sweeter than a mix of A&L => it can be M&L or M&A, both cases contains mango => SUFFICIENT
IMO B!
msignatius
23 Dec 2025, 03:49
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So, I got this wrong 
Tricky question that traps you if you aren't all that careful. Again, trying to explain it helped me realize I was wrong.
Sweetness is defined as the sugar content per unit of weight.
At a fruit stand, mangoes (M) are sweeter than apples (A), apples are sweeter than lemons (L).
So we have M > A > L.
We can also visualize what sweetness could imply by assuming - M is 8 grams of sugar per 50 grams; A is 5 grams of sugar / 50g; L is 1 gram / 50 g.
We also know that we can only really use combinations of two, and that equal weight will be used no matter what. Combinations could be:
M + A
M + L
L + A
Cool, with all this information, let's look at the statements.
Statement I: The fruit salad is less sweet than apples.
Now, I can look at my assumed values again: Apple is 5 grams of sugar / 50 grams. Now, any mixture involving M and A, will obviously be sweeter than apple. For instance, 100 grams of M+A will have 8 + 5 = 13 grams of sugar / 100 grams, which in a relative ratio, is 6.5 grams / 50 grams.
However, what if the mixture involves M and L? M is 8 grams of sugar / 50 grams; L is 1 gram of sugar / 50 grams. That's 9 grams per 100 grams or 4.5 grams of sugar per 50 grams, which is LESS than apple.
Clearly, if you assume different values in different proportions this can go either way, but this kind of assumption is enough for you to know that STATEMENT I alone is not sufficient.
Statement II: The fruit salad is sweeter than a fruit salad made using apples and lemons.
This just says that the fruit salad in the stem is sweeter than an A + L fruit salad. There's a very simple way to figure this out: the other two possible combinations both contain mango, and any other combination will take, will thus, contain mango and be sweeter. There's no other way to look at this.
Statement II alone is sufficient - Answer is B.
Tricky question that traps you if you aren't all that careful. Again, trying to explain it helped me realize I was wrong.Sweetness is defined as the sugar content per unit of weight.
At a fruit stand, mangoes (M) are sweeter than apples (A), apples are sweeter than lemons (L).
So we have M > A > L.
We can also visualize what sweetness could imply by assuming - M is 8 grams of sugar per 50 grams; A is 5 grams of sugar / 50g; L is 1 gram / 50 g.
We also know that we can only really use combinations of two, and that equal weight will be used no matter what. Combinations could be:
M + A
M + L
L + A
Cool, with all this information, let's look at the statements.
Statement I: The fruit salad is less sweet than apples.
Now, I can look at my assumed values again: Apple is 5 grams of sugar / 50 grams. Now, any mixture involving M and A, will obviously be sweeter than apple. For instance, 100 grams of M+A will have 8 + 5 = 13 grams of sugar / 100 grams, which in a relative ratio, is 6.5 grams / 50 grams.
However, what if the mixture involves M and L? M is 8 grams of sugar / 50 grams; L is 1 gram of sugar / 50 grams. That's 9 grams per 100 grams or 4.5 grams of sugar per 50 grams, which is LESS than apple.
Clearly, if you assume different values in different proportions this can go either way, but this kind of assumption is enough for you to know that STATEMENT I alone is not sufficient.
Statement II: The fruit salad is sweeter than a fruit salad made using apples and lemons.
This just says that the fruit salad in the stem is sweeter than an A + L fruit salad. There's a very simple way to figure this out: the other two possible combinations both contain mango, and any other combination will take, will thus, contain mango and be sweeter. There's no other way to look at this.
Statement II alone is sufficient - Answer is B.
Bunuel
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23 Dec 2025, 04:32
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Bunuel
Sw = Su/w
and exactly two equal weights of fruits used among m, a, l
sw
m> a > l
To find does fruit salad contain mango?
(1) The fruit salad is less sweet than apples.
ma fruit salad will definitely be more sweeter than apple (avg sugar)
al fruit sald will definitely be less sweeter than mango
but ml may or may not be sweeter than apple (depending how less sweet lemon is in comparison with mango, avg can be greater than or lesser than sweetness of apple)
Possible cases if contains mango
al No
ml Yes
Insufficient
(2) The fruit salad is sweeter than a fruit salad made using equal weights of apples and lemons and no other ingredients.
So fruit salad cannot be al as it will have same level of sweetness as above.
Case 1: ml
sweetness of al (a+l)/2
of ml (m+l)/2
we know that m > a
so (m+l)/2 > (a+l)/2
Contains Mango? Yes
Case 2: ma
sweetness of al (a+l)/2
of ma (m+a)/2
we know that m > l
so (m+a)/2 > (a+l)/2
Contains Mango? Yes
Sufficient
Correct Answer: B
