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How many of the toys are blue and size B?

In each production lot for a certain toy, 25 percent of the toys are red and 75 percent of the toys are blue. Half the toys are size A and half are size B. If 10 out of a lot of 100 toys are red and size A, how many of the toys are blue and size B?

(A) 15
(B) 25
(C) 30
(D) 35
(E) 40

Written by Take GMAT Team on October 5th, 2007 with 22 comments.
Read more articles on GMAT Problem Solving and GMAT Question of the Day.

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22 comments

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Get your own gravatar by visiting gravatar.com beckee529
#1. July 21st, 2007, at 10:42 AM.

answer would be D

Get your own gravatar by visiting gravatar.com abbas
#2. July 21st, 2007, at 1:27 PM.

D

Get your own gravatar by visiting gravatar.com Biplav
#3. July 21st, 2007, at 11:22 PM.

D 35
am confused with the information though

Get your own gravatar by visiting gravatar.com Harsh
#4. July 22nd, 2007, at 7:47 AM.

The answer is D obviously

Get your own gravatar by visiting gravatar.com Nrip Nihalani
#5. July 22nd, 2007, at 6:54 PM.

D

Total A sized Toys = 100 - 50 = 50
Number of A sized Toys which are Red = 25 - 10 = 15
Thus Rest of A sized Toys which are then Blue = 50 - 15 = 35

Get your own gravatar by visiting gravatar.com Ankit
#6. July 22nd, 2007, at 10:23 PM.

The Ans is D… 35..

Get your own gravatar by visiting gravatar.com rati
#7. July 23rd, 2007, at 12:20 PM.

ans..
d- 35

Get your own gravatar by visiting gravatar.com dartz
#8. July 23rd, 2007, at 12:20 PM.

hi ankit…can you explain the answer?

Get your own gravatar by visiting gravatar.com Jesson
#9. July 23rd, 2007, at 8:47 PM.

easy way is to create a small table

Size A Size B
Red 10
Blue

Above is the information we have. Now using the percentages we ned to fill the blanks. Red is 25% in total number and so in size B it has to be 15. Now we know that Size B is 50% and so if red size B is 15% then blue size B must be 35%. Similarly for Blue size A shld be 40%. Below is the completed table:

Size A Size B
Red 10 40
Blue 40 35

Get your own gravatar by visiting gravatar.com krishna
#10. July 30th, 2007, at 8:32 PM.

The Information Provided i think is little ambiguous….

Get your own gravatar by visiting gravatar.com adarsh
#11. August 8th, 2007, at 3:06 PM.

jesson has given a clear picture for solution thanx
For those who find difficult here is simplified version

GIVEN DATA
SIZEA SIZEB TOTAL

RED 10 25

BLUE 75

TOTAL 50 50 100

NOW JUST FILL UP the blue and size b cols to get total

SIZEA SIZEB TOTAL

RED 10 (25-10)=15 25

BLUE (50-10)=40 (75-40)or(50-15)=35 75

TOTAL 50 50

Get your own gravatar by visiting gravatar.com adarsh
#12. August 8th, 2007, at 3:15 PM.

the tabular col is not displayin with spaces correctly sorry guys.
so explained here
in the given data table above
red and sizeA is 10

in the total coloum
red is 25 and blue is 75

now in the RED row total is 25 and sizeA is 10 so RED&SizeB is (25-10)=15
NOW (TOTAL OF SIzEA IS 50), SIZEA&RED is 10
so in blue row SIZEA AND BLUE COLOR IS 50-10=40
similarly TOTAL SIZEB IS 50,Now REDsizeB is 15
So BLUE &SIZEB is (TOTAL SIZEB - RED&SIZEB)=(50-15)=35

Get your own gravatar by visiting gravatar.com rexupen
#13. August 10th, 2007, at 9:45 PM.

D
@ Krishna hope this works for u…
Given:
of 100 … 25 need to be REd & 75 to be blue :)

50 of size A & 50 of size B.. :)
so
10 of size A r Red so red of size B =25-10 =15 red of size B
& since total of size A is 50 from which 10 are RED so 40 blue of size A … completes 50 for size A

now for size B: either u can get by 75-40=35
or total 50 of size B - 15 red of size B = 35 of size B in blue .. completing 50 for sizeB also ;)

hope clear

Get your own gravatar by visiting gravatar.com Anil
#14. August 14th, 2007, at 3:15 PM.

you just need to make this grid
R B
A 10 ? | 50
B ? ? | 50
————
25 75
Now its simple since 10 + ? = 50 i.e. 40 are Blue and size A
Now using this 40 + ? = 75 i.e. reqd ans: 35

Get your own gravatar by visiting gravatar.com alec
#15. October 5th, 2007, at 7:45 PM.

How is this a very hard question?

If you know that 25% are red, that means in a lot of 100, 25 are red.
If 10 of those are size A, that leaves 15 for size B.

Since there can only be 50 size Bs, 50 - 15 = 35

This was more like a junior high level math problem.

Get your own gravatar by visiting gravatar.com Ankur Chawla
#16. October 7th, 2007, at 3:15 AM.

Very simple question

Ans is D

With Regards
Ankur Chawla

Get your own gravatar by visiting gravatar.com Gaargi
#17. October 9th, 2007, at 7:35 AM.

D

Get your own gravatar by visiting gravatar.com hari
#18. October 29th, 2007, at 5:36 AM.

Red Blue
(25%) (75%)

A(50%) 10 in 100 =>40

B(50%) =>15 =>35

Get your own gravatar by visiting gravatar.com hari
#19. October 29th, 2007, at 5:40 AM.

——————————————–
————-Red——————–Blue
———— (25%)——————(75%)

A(50%)…..10 in 100………….=>40
.
.
B(50%)…..=>15………………=>35

Get your own gravatar by visiting gravatar.com Gmack
#20. November 2nd, 2007, at 3:32 AM.

Clearly D…none of the questions on this site seem hard at all. And i’m not that smart.

Get your own gravatar by visiting gravatar.com Harjeet Singh
#21. December 18th, 2007, at 11:23 AM.

Red Blue Total
size A 10 40 50%
size B 15 35 50%
Total 25 % 75 % 100%

total no of toys =100

Get your own gravatar by visiting gravatar.com shilpa
#22. August 22nd, 2008, at 12:47 AM.

D

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