There are six baskets — Green, Red, Blue, Yellow, Black and White. Each basket has some rings in it. The average number of rings in all the six baskets is 38. If the blue basket is removed, the average number of rings in the remaining baskets is 34. How many rings are there in the blue basket?

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SSC CPO 2022 Tier-I Official Paper (Held On : 9 Nov 2022 Shift 3) [Answer Key]
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  1. 22
  2. 45
  3. 37
  4. 58

Answer (Detailed Solution Below)

Option 4 : 58
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Detailed Solution

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Given:

There are six baskets — Green, Red, Blue, Yellow, Black, and White

The average number of rings in all six baskets is 38

After removing the blue basket, an Average of 5 baskets = 34

Formula Used:

Average = \(\frac{Sum\space of \space observation}{Total \space observation}\)

Calculations:

The average of 6 baskets is 38

Average = \(\frac{Sum\space of \space observation}{Total \space observation}\)

Sum of rings in 6 basket = Average x Total observation = 38 x 6 = 228

After removing the blue basket

The average of 5 baskets is 34

Average = \(\frac{Sum\space of \space observation}{Total \space observation}\)

Sum of rings in 5 basket = Average x Total observation = 34 x 5 = 170

Ring in blue basket = Sum of rings in 6 basket - Sum of rings in 5 basket = 228 - 170 = 58 rings

Hence, The rings in the blue basket are 58 rings

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