CRACK THE CAT - DOUBT OVER MATHS (PROBLEM SOLVING)

Gaurav Mittal

Quote:

Originally Posted by rahul_parab2006

Q.5 -

Interest on 1/4th of Rs.10,00,000 @ 20%p.a.
= 20/100 * 1/4 * 10,00,000 = Rs. 50,000.

Charges for managing business =
Rs. 1000 * 12 = Rs. 12,000.

Assume, yearly profit be 'x', then
Ram's share : Shyam's share = 5 :2
i.e.
Ram's share = 5/7 x and Shyam's share 2/7 x.

Now, Ram's income = 4 (Shyam's income)

5x/7 - 12,000 + 50,000 = 4(2x/7 - 50,000 + 12,000)

5x/7 + 38,000 = 8x/7 - 1,52,000

3x/7 = 1,90,000

x = 13,30,000/3 = Rs. 4,43,333.
i.e. Rs. 4,40,000.

Hence, 3]

That's the same thing i've done and i got the same answer.... but was confused about which choice would be correct., since it is not given amongst the choices.

Gaurav Mittal

Hey rahul,
answer no. 4 is not very explanatory.... can u please explain it again.... in detail.

aynaval

1) If l a l > l b l and a < b, then which of the following is true?

1. a > 0 2. b > 0 3. a < o 4. b > l a l

Answer is 3. a<0

aynaval

Hi,

Just take any two numbers greater than 0...since we are talking abt variables, the rule shud be the same for any number thats greater than 0.
Say 5 and 7. a=5 and b=7.
now |5-7|=2 and |7-5| is also 2. Therefore, option 3.
For any two positive numbers, this will be true. Once the absolute sign is there, then a-b and b-a will be equal.

Regards
Lavanya

Gaurav Mittal

Quote:

Originally Posted by aynaval

1) If l a l > l b l and a < b, then which of the following is true?

1. a > 0 2. b > 0 3. a < o 4. b > l a l

Answer is 3. a<0

Simple thing is that from the given conditions, a should be always less than 0. So, if b is 3 or -3 and a = -5

So b can be positive or negative but a will always be negative.