Question
In a school of 50 students, the number of boys and girls
is in the ratio of 4:1. The boys have an average score of 38, while the girls have an average score of 45. What is the overall average score of the entire class?Solution
ATQ, Let the number of boys be 4x and girls be x, where 4x + x = 50 ⇒ x = 10. Then, boys = 40 and girls = 10. Total marks for boys = 40 × 38 = 1520. Total marks for girls = 10 × 45 = 450. Average marks for the class: Average = (1520 + 450)/50 = 39.4
If the homogeneous system of equations
x + y + z = 0
2x + 3y + 4z = 0
has a non-trivial solution, then the value of k is:
3x + 5y + kz = 0
Marked price of an article is Rs. M, as it is marked by a certain price. Find the value of M.
Statement I. If the shopkeeper gives a discount of ...
In the expansion of (1 + x)¹⁵ , what is the ratio of the coefficients of the 6th term to the 9th term?
A group of 6 men and 5 women can finish a certain task in 8 days, while another group of 3 men and 15 women can complete the same task in 6 days. Now, 4...
Find the general solution of cos 3x = 1/2:
If p = 50 - q - r and pq + r(q + p) = 816 then find the value of (p2 + q2 + r2) .
If log 32 = 3.816, then the value of log 16 is:
What is the value of 8 √ 4 × 16 √ 4?
If sin x + sin 2x = 1 and cos x + cos 2x = 0, find x.
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