Q. The mean of 11 numbers is 35. If the mean of first 6 numbers is 32 and that of the last 6 numbers is 37, find the sixth number.
✅ Correct Answer: (B)
29
Explanation: Given , Sum of 11 numbers = 35 × 11 = 385
Sum of the first 6 numbers = 32 × 6 = 192
and Sum of the next 9 numbers = 37 × 6 = 222
∴ Sixth number = Sum of the first 6 numbers + Sum of the last 6 numbers – Sum of 11 numbers
Sixth number= 192 + 222 – 385 = 29
Explanation by: Parvesh Kanani
Given , Sum of 11 numbers = 35 × 11 = 385
Sum of the first 6 numbers = 32 × 6 = 192
and Sum of the next 9 numbers = 37 × 6 = 222
∴ Sixth number = Sum of the first 6 numbers + Sum of the last 6 numbers – Sum of 11 numbers
Sixth number= 192 + 222 – 385 = 29
Sum of the first 6 numbers = 32 × 6 = 192
and Sum of the next 9 numbers = 37 × 6 = 222
∴ Sixth number = Sum of the first 6 numbers + Sum of the last 6 numbers – Sum of 11 numbers
Sixth number= 192 + 222 – 385 = 29