In a stationery store, A costs X dollars, B costs Y dollars,

Question

In a stationery store, A costs X dollars, B costs Y dollars, if $10 is enough to buy 5 A and 3 B, whether $10 is enough to buy 4A and 4B?
1). A costs less than $1
2). $10 is enough to buy 11 A.

AmitGUPTA · Answer

Another E.

1st statement

x < 1, let suppose x = 0.2 $ & y = 3 $

10>= 5A + 3B -- given than 5A + 3B = 10 $

But if put same value in 10 >= 4A + 4B , to buy 4 B items itself we need 12$.
So 1st statement does not conclude anything

2nd statement

10 >= 11A => A =< 10/11 ..again same as 1st statement

Theoldnewcomer · Answer

Case 1 
Let A be 2 Cents -- 99 Cents
10$ is never sufficient

Case 2
Any Value for A will make 4a+4b greater than 10$

Hence IMO D is the answer

mdfrahim · Answer

E.
None of the statements says anything abt. B. hence insuff. (B can be as low as .000001 cents or can be as high as 3.3)

chill · Answer

The stem says 5A+3B <= 10
Asked 4A + 4B <= 10
Case:1
Let A = .01$, B--> 3.31............. Not sufficient to Buy 4A + 4B
Let A = .99$, b --> 1.68 .......... Not sufficient to Buy 4A + 4B

Hence Statement 1 is sufficient to say NO

Case: 2
Its the same as Case-1

IMO D

Whats the OA??

vcbabu · Answer

OA is E .

stat1 &2 mean the same.

Theoldnewcomer · Answer

Any value satisfying either case 1 or case 2 will always make 4a+4b greater than 10$
Any explaination supporting OA will be very helpful

lahoosaher · Answer

given - $10 is enough to buy 5 A and 3 B

5A+3B 10 and for min value of A 4A+4B 10 and for min value of A 4A+4B < 10.

statement 2 is also INSUFFICIENT.

Together they say only that A is less than 1$ or (10 / 11)$ which is not sufficient either.

IMO E

In a stationery store, A costs X dollars, B costs Y dollars,

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