## Logical Questions

**Logical Questions: Directions for next 5 Logical Questions questions: Answer these ****Logical Questions**** on the basis of the information given below.**

At the start of game, A and B between them had four times as much money as C while B & C together had three times as much as A. At the end, A & B between them had three times as much as C, while B & C together had twice as much as A. B finished Rs. 200 poorer at the end. A, B, C are the only players.

**1.** What fraction of the total money did C have at the beginning of the game ?

(a) 1/3

(b) 1/8

(c) 2/9

(d) 1/5

**2. **What fraction of the total money did A win (or lose)?

(a) won 1/12

(b) lost 1/6

(c) lost 1/3

(d) won 1/5

**3. **What amount did B start with ?

(a) Rs. 575

(b) Rs. 375

(c) Rs. 825

(d) Rs. 275

**4.** What amount did C win (lose)?

(a) lost Rs. 50

(b) won Rs. 75

(c) lost Rs. 125

(d) won Rs. 175

**5.** How much money did A have at the end of the game?

(a) Rs. 375

(b) Rs. 500

(c) Rs. 325

(d) Rs. 1100

Related posts:

ArunSays:October 19th, 2009 at 2:14 am

the answers to the questions are

1. d

2. a

3. c

4. b

5. b

let at start the amt are x,y,z

then

x+y= 4z

y+z = 3x

4x = 5z

by this

x = 5z/4

y = 11x/5

hence x,11x/5,4x/5

let at the end of game are x’,y’,z’

then x’+y’ = 3z’

y’+z’=2x’

z’ = 3x’/4

y’ = 5x’/4

hence x’,5x’/4,3x’/4

since the total value remains the same which give reln btn x’ and x

i.e; x’=4x/3

hence

the calc values are

x=375 b=825 c=300

after the end

x= 500 b= 625 c = 375

bratsiSays:October 19th, 2009 at 11:37 am

1)d

2)a

3)c

4)b

5)b

SAUVIK CHAKRABORTYSays:October 19th, 2009 at 1:24 pm

1-d

2-c

3-c

4-b

5-b

HarindraSays:October 19th, 2009 at 11:03 pm

we have the following equation from the question

Intial amount is A,B,C at the end of the game it is A1,B1,C1

C = 4/5 A

B = 11/5 A

C1 = 3/5 B1

A1 = 4/5 B1

B1 = B – 200

We have to first solve the 3rd part of the problem. since A,B,C and A1, B1 , C1 has to be integers the only opition for the 3rd part is option C (825)

Now Since B is known we can find all the variables left

A = 375

B = 825

C = 300

A1 = 500

B1 = 625

C1 = 375

now

question 1 is

option d (1/5)

question 2 is

option a (1/12)

question 3 already solved

option C (825)

Question 4 is

option b (75)

question 5 is

option b (500)

adminSays:October 20th, 2009 at 2:28 am

For explanation and correct answers of the above caselet check ARUN’s Comment.

Well Done All Of You!!