Directions for questions: Read the information carefully and answer the questions given below.

Five friends – Umang, Viren, Xavier, Falak and Gagan collected gold on the sea shore. They collected a total of 100 gold.

None of them collected less than 10 gold each. No two among them collected the same number of gold. Following information is given regarding the number of gold with each one of them:

I. Umang collected the same number of gold as Viren and Xavier put together.

II. Xavier collected 3 more gold than the cube of an integer.

III. The number of gold collected by Umang was the square of an integer.

IV. The number of gold collected by Viren was the square of an integer.

V. The number of gold collected by Falak and Gagan are in the ratio 4 : 3.

What was the number of gold collected by Umang?

Option 1 - 19

Option 2 - 36

Option 3 - 52

Option 4 - 64

1 Views|Posted 6 months ago

Asked by Shiksha User

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Answered by

Payal Gupta | Contributor-Level 10

6 months ago

Correct Option - 2

Detailed Solution:

U – Umang

V – Viren

X – Xavier

F – Falak

G – Eagan

We have

U + V + X + F + G = 100

And each one of U, V, W, X, F, G? 10

U = V + X and 3Y = 4Z

Now, U, V, X, F, G? 10

Also, U = V + X

X = Cube + 3

V, U = Square

and F : G = 4 : 3

This is possible only when

U = 36, V = 25, X = 11, G = 12, F = 16

Upvote

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Result/Players	P	Q	R	S
Won	23	18	10	16
Won	13	16	13	14
Lost	8	13	16	13
Lost	6	8	20	17