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.