Question
A chef prepared 6 different dishes, and the average
rating for those dishes was 18 out of 100. For the next 4 dishes, the chef improved significantly, and the average rating increased by 50%. To achieve an overall average rating of 30 out of 100 after serving a total of 20 dishes, what should be the average rating for the remaining dishes?Solution
ATQ, The total number of ratings to achieve in 20 dishes is 20 ratings with a goal of 30 each, which sums up to 600. For the first 6 dishes, the chef received a total rating of 6 dishes × 18 rating per dish = 108. In the subsequent 4 dishes, the chef's performance improved by 50%, resulting in a rating of 18 × 1.5 × 4 = 108. To meet the target of 600 total ratings for all 20 dishes, the remaining 10 dishes should collectively earn 600 - (108 + 108) = 384. So, the required average rating for the remaining 10 dishes would be 384 divided by 10, which is 38.4.
120, 130, 145, 165, ?, 220
36 37 33 42 ? 51 15
...{(12√5 + 6√5 )} ×{(10√5 - 5√5 )} - 8² + 6² = ?
What will come in place of (?) Question mark in the given number series.
500, 489, 467, 434, 390, 335, ?
8, 12, 16, 22, ?, 64
Find the missing number in the given number series.
1, 2, 6, 24, 120, ?580 557 528 497 ? 419
120 124 151 167 292 ?
2, 13, 27, 44, ?, 87
152 142 122 ? 52 2