Question
The average of 30 numbers is 55. The average of the
first 15 numbers is 50 and the average of the last 12 numbers is 55. What is the average of 68, 74 and the remaining 3 numbers?Solution
Sum of all 30 terms = 30 x 55= 1650 Sum of first 15 terms = 15× 50 = 750 Sum of last 12 terms = 12 x 55 = 660 After removing the first 15 and last 12 terms, there will be 3 terms remaining.  Sum of remaining 3 terms = 1650 (750 +660) = 240 According to the question, 68 and 74 are added to the sum of 3 terms. Thus, the number of total terms becomes 5. Average of 5 terms = (240 +68 + 74)/5 382/5= 76.4  76.4 is the average of 68, 74 and the remaining 3 numbers.
A bag contains 4 yellow, 5 black and 7 white flowers. Three flowers are drawn randomly.
Quantity I: What is the probability that all three flowe...
Quantity I: A number is first multiplied by 3 and then increased by 25%. The final result is 375. What is the original number?
Quantity II: A boa...
In this problem, you are provided with two quantities, Quantity A and Quantity B.Evaluate both quantities and establish the correct relationship betwee...
Direction: The question consists of two quantities, choose the correct option which represents the correct relation between Quantity I and Quanti...
What is the profit percent or loss percent incurred in the transaction?
Statement I: 5% discount is given on the marked price.
Statement...
Quantity-I: Determine the value of 'p' if (p - 3)2 = 49.
Quantity-II: Determine the value of 'q' if 2q2 + 180 = 39q
...Quantity I: In a class, 25 students failed in Science, 15 students failed in Math, and 8 students failed in both subjects. If there are 60 students in t...
The ratio of present ages of A and B is 5:8 respectively and the average of present ages of A and C is equal to 80% of the present age of B. 4 years ago...
Quantity 1: Q : A number, greater than one, the difference between itself and its reciprocal is 40% of the sum of itself and its reciprocal. The square ...
Rs. R is invested in a scheme offering 200/4% p.a. for 2 years. The total amount received is Rs. 36,300. If Rs. (R + 2,700) is invested in another schem...