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Read the question below, followed by 3 statements. Question: Leela has 10 hair clips of 4 different colours. Find how many blue clips she has? Statements: 1. There are 2 red clips. 2. The number of yellow clips is twice that of red clips. 3. Green clips constitute one-third of the total number of red and yellow clips. Which statement(s) is/are sufficient to answer the above question?

Read the question below, followed by 3 statements. Question: Leela has 10 hair clips of 4 different colours. Find how many blue clips she has? Statements: 1. There are 2 red clips. 2. The number of yellow clips is twice that of red clips. 3. Green clips constitute one-third of the total number of red and yellow clips. Which statement(s) is/are sufficient to answer the above question? Correct Answer Statements 1, 2 and 3 together are sufficient.

Given: Leela has 10 hair clips of 4 different colours.

Statement 1: There are 2 red clips.

r = 2

No information is given about rest 8 clips and other 3 colours.

So, statement 1 is not sufficient.

Statement 2: The number of yellow clips is twice that of red clips.

y = 2r

No information is given about number of clips of different colours and other 2 colours.

So, statement 2 is not sufficient.

Statement 3: Green clips constitute one-third of the total number of red and yellow clips

g = 1/3(r + y)

No information is given about number of clips of different colours.

So, statement 3 is not sufficient.

Combining I and II:

1. There are 2 red clips.

2. The number of yellow clips is twice that of red clips.

r = 2; y = 2r = 4;

No information is given about blue and green clips.

So, statement 1 and 2 together are not sufficient.

Combining II and III:

2. The number of yellow clips is twice that of red clips.

3. Green clips constitute one-third of the total number of red and yellow clips.

y = 2r; g = 1/3(r + y); g → 1/3(r + 2r) → g = r;

No information is given about number of clips of different colours.

So, statement 2 and 3 together are not sufficient.

Combining I and III:

1. There are 2 red clips.

3. Green clips constitute one-third of the total number of red and yellow clips.

r = 2; g = 1/3(r + y);

No information is given about number of red or yellow or green clips.

So, statement 1 and 3 together are not sufficient.

Combining I, II and III:

1. There are 2 red clips.

2. The number of yellow clips is twice that of red clips.

3. Green clips constitute one-third of the total number of red and yellow clips.

r = 2; y = 2r = 4; g = 1/3(r + y) = 2; 10 = r + y + g + b = 2 + 4 + 2 + b; 10 – 8 = 2 = b

So, there are 2 blue clips.

Hence, statement 1, 2 and 3 together are sufficient.

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