There were 2 apples and 5 bananas in a basket

Question

Hi Guys,

I have come across the following DS Question. Unfortunately I am unable to form a equation so need your help.

Q-1  There were 2 apples and 5 bananas in a basket. After additional apples and bananas were placed in the basket, the ratio of the number of apples to the number of bananas was 1/2.    
How many apples were added ?

(A)  The number of apples added was 2/3 rd the number of bananas added.

(B)  A total of 5 apples and bananas were added.

Now OA is D.

Ya the second part is pretty straight forward.

But can someone get an equation using 1st clue.

Thanks,
Friend

abhijit_sen · Answer

Suppose number of apples added = a, and number of bananas added = b
a+2/b+5 = 1/2 => 2a+4 = b+5 
=> 2a=b+1

Statement 1:
Tells us a/b=2/3 => 1.5a=b
Alongwith equation from question we can get the value of a as well as b.

Statement 2:
Tells us b, so a can be calculated.

Answer D.

greatchap · Answer

Thanks for help abhijit. But I was wondering if your equation for statement 1 was okay. Since ques says no of apples added was 2/3 rd of bananas then should the equation be a = 2/3 * b. Kinda confused you see.

prov · Answer

hope i could help
you already knew that a=2/3 *b
then we divide both sides of equation by b
we get a/b = 2/3

greatchap · Answer

Thanks for explanation guys.

I came across a ques in OG which confused me totally.

Q-124 In the equation x^2 + bx + 12 = 0. x is a variable and b a constant. What is the value of b ?

(1) x - 3 is a factor of x^2 + bx + 12
(2) 4 is the root of equation x^2 + bx + 12 = 0.

Now i just couldn't go ahead. what do i do ????

abhijit_sen · Answer

First of all you should post this question as new topic and not part of old question, so take care in future.

Anyway here is the solution.

Original equation x^2 + bx + 12 = 0. x is a variable and b a constant. What is the value of b ?

Statement 1:
Tells us x-3 is a factor means x=3 should be one solution to this equation.
Putting x=3 in Original equation we have 3^2+b*3+12=0
=> b = -21/3 = -7

Statement 2:
Tells us 4 is root of the equation, means it is another value of x.
So 4^2+b4+12=0
=>b=-28/4 = -7

As both statements can tell you value of b alone, so Answer is D.

greatchap · Answer

Thanks for the guidance. And I will remember to posts different ques as new posts. Cheers...

There were 2 apples and 5 bananas in a basket

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