A question and two statements are given. Decide which of the statement(s) is/are sufficient to answer the question. Question: Nitara has 20 colored pencils of four different colours. How many black pencils does she have? Statements: 1. It has 5 red colored pencils. 2. She has 4 blue colored pencils. 3. The number of green pencils is twice that of blue pencils.

A question and two statements are given. Decide which of the statement(s) is/are sufficient to answer the question. Question: Nitara has 20 colored pencils of four different colours. How many black pencils does she have? Statements: 1. It has 5 red colored pencils. 2. She has 4 blue colored pencils. 3. The number of green pencils is twice that of blue pencils. Correct Answer Statements 1, 2 and 3 all together are sufficient.

Given:

Nitara has 20 pencils of 4 different colours

1. Nitara has red coloured pencils = 5

2. Nitara has blue coloured pencils = 4

3. Number of green coloured pencils = Twice that of blue coloured pencils

Calculation:

According to the question

Number of green coloured pencils = twice that of blue coloured pencils = (2 × 4)

⇒ 8

So, Number of black coloured pencils =

⇒ (20 – 17)

⇒ 3

∴ Statements 1, 2 and 3 all together are sufficient.

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