A basket contains only three kinds of fruits guavas, mangoes

Question

A basket contains only three kinds of fruits – guavas, mangoes and pears. What is the minimum number of fruits that should be picked from the basket to ensure that at least 5 guavas or at least 7 mangoes or at least 8 pears are picked?

A. 12
B. 17
C. 18
D. 20
E. 21

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himabindureddy · Answer

One should pick at least the specified number of fruits, hence 5+7+8 = 20 should be the answer
Ans: D

himabindureddy · Answer

Ok, 20 should be the maximum, minimum should be any one kind of fruit satisfied. Hence ,

5+6+7 = 18 ( 5 guavas, 6 mangoes, 7 pears)
4+7+7 =18
4+6+8 = 18

Ans:C

okHedwig · Answer

Hi - Ans 18

Suppose we say 12 fruits : in that there could be a chance of picking 4G, 6M & 2 P which is undesirable outcome 
What is the max fruits for undesirable outcome : 4G + 6M + 7P = 17
therefore to get min value of fruits picked with desirable outcome = 17+1 G = 18Ans

Thanks

findingmyself · Answer

This is a worst-case scenario problem:

Let say the worst case scenarios be picking 4 guava, 6 mangoes and 7 pears

Total to be picked for getting 4 guava or 6 mangoes or 7 pears= 4+6+7=17

The next pick will be either 5 guava or 7 mangoes or 8 pears

Total required is 4+6+7+1=18 fruits.

Ayeka · Answer

If we pick 4 guavas, 6 mangoes, and 7 pears. Then no matter what fruit we pick next, it ensure that at least 5 guavas or at least 7 mangoes or at least 8 pears are picked

Minimum number = 4+6+7=17 
18th fruit we pick will either give as at least 5 guavas, or at least 7 mangoes or at least 8 pears

Required number = 17+1=18

KevoK · Answer

The wording can throw off some people, so whenever you encounter questions like this, just consider what the question asks:  to ensure that at least 5 guavas or at least 7 mangoes or at least 8 pears are picked

We need to think about the maximum number of fruit that we can pick that doesnt reach the requirement:That is 4 guavas, 6 mangoes and 7 pears

4+6+7 = 17

And then the fruit that will be picked after that must satisfy one of the 3 requirement

17+1 = 18.

Thus, 18 fruits

IMO: C

Souradeep17 · Answer

he needs at least 5 guavas or 7 mangoes or 8 pears 
So if he selects 4 guavas ,6 mangoes and 7 pears then the next selection will fulfill the criteria 
so the answer should be 4+6+7+1=18 Option C

A basket contains only three kinds of fruits guavas, mangoes

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A basket contains only three kinds of fruits guavas, mangoes

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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Perfect 805 Score Debrief by Julia

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