Each question is followed by two quantities, A and B. Answer each question using the following instructions:Mark (1) if quantity A is greater than quantity B.Mark (2) if quantity B is greater than quantity A.Mark (3) if the two quantities are equal.Mark (4) if it is impossible to determine a relationship.Mark (5) if the greater quantity cannot be determined but the two quantities are definitely not equal.In oodoo-dudu Island, coins are available only in two denominations - 4 Rupee and 5 Rupee. Rajesh had paid an amount of Rs. 150 to the shopkeeper.A. The probability that the number of 4 rupee coins given by Rajesh is more than the number of 5 rupee coins.B. The probability that the number of 5 rupee coins given by Rajesh is more than the number of 4 rupee coins.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer?

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Each question is followed by two quantities, A and B. Answer each question using the following instructions:

Mark (1) if quantity A is greater than quantity B.
Mark (2) if quantity B is greater than quantity A.
Mark (3) if the two quantities are equal.
Mark (4) if it is impossible to determine a relationship.
Mark (5) if the greater quantity cannot be determined but the two quantities are definitely not equal.

In oodoo-dudu Island, coins are available only in two denominations - 4 Rupee and 5 Rupee. Rajesh had paid an amount of Rs. 150 to the shopkeeper.

A. The probability that the number of 4 rupee coins given by Rajesh is more than the number of 5 rupee coins.

B. The probability that the number of 5 rupee coins given by Rajesh is more than the number of 4 rupee coins.

a)
1
b)
2
c)
3
d)
4
e)
5

Correct answer is option 'C'. Can you explain this answer?

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Each question is followed by two quantities, A and B. Answer each ques...

Let x be the number of 4 rupee coins that Rajesh paid andy be the number of 5 rupee coins that he paid.

4x + 5y - 150... (i)
Dividing (i) by 4 we get;

Now, as x andy are number of coins, they should be integers.

y - 2 = 4p

y = 4p + 2 ...(ii)

Substituting (ii) in (i) we get,

4x + 5(4p + 2) = 150

4x = 150 - 10 - 20p

4x = 140 - 20p

x = 35 - 5p ...(iii)

For p > 7 , x will be negative and for p < 0, y will be negative.

Now for

will be greater than x and for p < 4, y will be less than x.

In no case will y be equal to x.
Probability that x > y = 4/8 = 0.5 and probability that x < y = 4/8 = 0.5.
Hence, both the quantities are equal. Hence, option 3.

Alternatively,

Let x be the number of 4 rupee coins that Rajesh paid and y be the number of 5 rupee coins that he paid.

4x + 5y = 150 ... (i)

5y = 150 - 4x

Since the LHS is a multiple of 5, the RHS has to be divisible by 5. Hence, 4x has to be a multiple of 5.
Hence, x can take 8 values i.e. 0, 5, 10, 15, 20, 25, 30 and 35.
The corresponding values ofy are 30, 36, 22, 18, 14, 10, 6 and 2.
Observe that for the first four values, x <y, and for the last four values, x >y

Probability that x > y = 4/8 = 0.5 and probability that x < y = 4/8 = 0.5.
Hence, both the quantities are equal.
Hence, option 3.

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Each question is followed by two quantities, A and B. Answer each question using the following instructions:Mark (1) if quantity A is greater than quantity B.Mark (2) if quantity B is greater than quantity A.Mark (3) if the two quantities are equal.Mark (4) if it is impossible to determine a relationship.Mark (5) if the greater quantity cannot be determined but the two quantities are definitely not equal.In oodoo-dudu Island, coins are available only in two denominations - 4 Rupee and 5 Rupee. Rajesh had paid an amount of Rs. 150 to the shopkeeper.A. The probability that the number of 4 rupee coins given by Rajesh is more than the number of 5 rupee coins.B. The probability that the number of 5 rupee coins given by Rajesh is more than the number of 4 rupee coins.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer?

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