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,
Total attendees = 540 × 2 = 1080 Let males = M, females = F → M + F = 1080 Non-professionals: 30% of M + 50% of F = 588 → 0.3M + 0.5(1080 − M) = 588 → 0.3M + 540 − 0.5M = 588 → −0.2M = 48 → M = 240, F = 840 Male non-professionals = 0.3 × 240 = 72 Female professionals = 0.5 × 840 = 420 Average = (72 + 420) / 2 = 246
What is the smallest natural number that must be multiplied with 45 to make the result a perfect square?
- The expression 12x - x² - 20 is positive between which values of x?
What is the remainder when the expression 289n+147 is divided by 17?
Anil and Ashish receive Rs.1500 for work of 6 days. If Anil is 4 times efficient than Ashish, then find the daily wage received by Ashish.
Find the largest number which should replace 'x' in the number 8423x4, to make the number divisible by 4.
Find the smallest number which when divided by 7, 9 and 12 leaves remainder 5 in each case.
- The digits of a two-digit number add up to 9. If 27 is subtracted from the number, the digits switch places. What is the number?
The sum of the exponents of the prime factors in the prime factorization of 225 is
If 94*6714 is divisible by 11, where * is a digit, then * is equal to
- Find the least 5-digit number which is perfectly divisible by 14, 21, 35 and 42.
Relevant for Exams:
