১৮ এবং ৭২ এর গুণোত্তর গড় কোনটি?
A
৪৫
B
১২৯৩
C
৩৬
D
৪
উত্তরের বিবরণ
আমরা জানি, n সংখ্যক সংখ্যার গুণোত্তর গড় = n√(x1.x2.x3...xn)সুতরাং 18 ও 72 এর গুণোত্তর গড় = √(18 × 72) = √(9× 2 × 36 × 2)
= √(9 × 36 × 4)
= 3 × 6 × ২
= 36
= √(9 × 36 × 4)
= 3 × 6 × ২
= 36
0
Updated: 4 hours ago
The batting average for 27 innings of a cricket player is 47 runs. His highest score in an innings exceeds his lowest score by 157 runs. If these two innings are excluded, the average score of the remaining 25 innings is 42 runs. Find his highest score in an innings.
Created: 1 month ago
A
188
B
176
C
190
D
165
Question: The batting average for 27 innings of a cricket player is 47 runs. His highest score in an innings exceeds his lowest score by 157 runs. If these two innings are excluded, the average score of the remaining 25 innings is 42 runs. Find his highest score in an innings.
Solution:
Given that,
The batting average for 27 innings of a cricket player is 47 runs.
His highest score exceeds his lowest score by 157 runs.
If these two innings are excluded, the average of the remaining 25 innings is 42 runs.
Now,
Sum of runs for 27 innings of a cricket player = 47 × 27 = 1269
Sum of runs for 25 innings of a cricket player = 42 × 25 = 1050
∴ Sum of remaining 2 innings = 1269 - 1050 = 219
Let,
The minimum score be x and the maximum score be x + 157
According to the question,
x + x + 157 = 219
⇒ 2x = 219 - 157
⇒ 2x = 62
∴ x = 31
So, highest score = 157 + 31 = 188
0
Updated: 1 month ago
Average age of 15 students of a class is 15 years. Out of these the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is-
Created: 1 month ago
A
15 years
B
11 years
C
9 years
D
18 years
Question: Average age of 15 students of a class is 15 years. Out of these the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is-
Solution:
Given that
Average age of 15 students = 15 years
Average age of 5 students = 14 years
Average age of 9 students = 16 years
Now,
Total age of all 15 students = 15 × 15 = 225 years
Total age of 5 students = 5 × 14 = 70 years
Total age of 9 students = 9 × 16 = 144 years
∴ Age of the 15th student = 225 - (70 + 144) = 225 - 214 = 11 years
0
Updated: 1 month ago
৫টি সংখ্যার সমষ্টি ১০০ যার প্রথম ৩টি সংখ্যার গড় ২০ এবং শেষ তিনটি সংখ্যার গড় ১৫ হলে, তৃতীয় সংখ্যাটি কত?
Created: 1 week ago
A
৫
B
১০
C
১৫
D
১২
প্রশ্ন: ৫টি সংখ্যার সমষ্টি ১০০ যার প্রথম ৩টি সংখ্যার গড় ২০ এবং শেষ তিনটি সংখ্যার গড় ১৫ হলে, তৃতীয় সংখ্যাটি কত?
সমাধান:
ধরি,
সংখ্যাগুলো যথাক্রমে a, b, c, d, e
∴ a + b + c + d + e = ১০০
a + b + c = (২০ × ৩) = ৬০
এবং, c + d + e = (১৫ × ৩) = ৪৫
∴ (a + b + c) + (c + d + e) - (a + b + c + d + e) = ৬০ + ৪৫ - ১০০
∴ c = ৫
অর্থাৎ তৃতীয় সংখ্যাটি = ৫
0
Updated: 1 week ago
