Question
In a seminar, the average number of male and female
attendees is 540. 70% of males and 50% of females are professionals. If there are 588 non-professionals in total, what is the average of the number of male non-professionals and female professionals?Solution
ATQ,
Let the number of males and females be ‘a’ and ‘b’, respectively. Total attendees = 540 × 2 = 1080 Total number of professionals = 1080 – 588 = 492 According to the question, 0.7a + 0.5b = 492...... (1) 0.3a + 0.5b = 588..... (2) On solving equation (1) & (2), we get a = 600 and b = 480 Therefore, Number of male non-professionals = 0.3 × 600 = 180 Number of female professionals = 0.5 × 480 = 240 Required average = (180 + 240)/2 = 210
How many numbers between 100 and 500 are divisible by both 4 and 6?
If 'x' is the smallest positive integer divisible by 9, 15, and 28, then determine the second smallest positive integer that is divisible by all three o...
Find the largest 4-digit number that is exactly divisible by 27 and 45.
A six-digit number 27p5q8 is divisible by 36. What is the greatest possible value for (p×q)?
If '5731x7' is a six-digit number which is divisible by 33, then calculate the value of 'x'.
A number when divided by 45 leaves a remainder 21. What will be the remainder when the square of the same number is divided by 45?
What is the number of divisors of 480?
If 2557 + 819 is divisible by which of the following numbers.
Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?
Which of the following numbers will completely divide 412 + 413+ 414 + 415 + 416?
Relevant for Exams:
