Bissoy.com
Doctors Medicines MCQs Q&A

The average of 4 terms is 40 and the 2nd term is 1/4 of the sum of remaining terms. What will be the 2nd number?

The average of 4 terms is 40 and the 2nd term is 1/4 of the sum of remaining terms. What will be the 2nd number? Correct Answer 32

Given:

The average of 4 terms is 40.

2nd term = (1/4) of the sum of other 3-terms

Formula used:

Average = Sum of all observations/Total observations

Calculation:

Let the four terms be a, b, c, and d.

According to the question,

(a + b + c + d)/4 = 40

⇒ a + b + c + d = 160    ------(1)

Again, according to the question,

b = (1/4)(a + c + d)

⇒ a + c + d = 4b    ------(2)

Using the value of equation (2) in equation (1), we get

b + 4b = 160

⇒ 5b = 160

⇒ b = 32

∴ The value of the 2nd term is 32.

Related Questions

Questions below followed by three quantities. Find the relationship between them. Quantity I: Average age of 14 members of team is 25 years. While oldest member of the team is 26 years older than youngest member of the team. Out of remaining 12 members of team, average age of six members of team is 28 years and the remaining six members is 20 years. What is the age of oldest member of the team? Quantity II: Average age of Nitu, Rekha and Shyam is 17 years. Two new persons Divya and Raju joined them so that average age of all become 19 years. If Divya is 2 years older than Raju and Rekha is 2 years older and 1 year older than Shyam and Nitu respectively. What is sum of the average age of Nitu and Shyam together and average age of Divya and Rekha together? Quantity III: The average age of father, mother and their two sons is 27.5. Five years ago, the ratio of ages of father, mother and two sons (elder and younger) is 7 : 5 : 2 : 1. Find the sum of ages of two sons after 7 years.
What is the total number of employees in the company? Which of the following option is sufficient alone to find the answer? A) In the company, employees like either tea or coffee or cold drink. Out of the total employees, 25% like tea and 40% like coffee. Out of remaining employees, 20% like cold drink and remaining employees don’t like any of these drinks. B) Out of total employees 18% working in the marketing departments, 35% working in IT departments. From the remaining employees 25% working in HR departments and 45% working in content departments and remaining 141 are working in other departments. C) Employees working in the company is form state X, Y and Z. 20% of employees working in the company is from state X and from remaining 60% employees is from state Z and the remaining employees is from the state Y. D) 60% of the employees in the company are married and remaining employees are unmarried. The ratio of male and female unmarried employees is 4 : 5 and ratio of married male and female employees is 3 : 4.
Questions below followed by three quantities. Find the relationship between them. Quantity I: In a class with a certain number of students if a teacher weighing 78 kg is added, then average weight of class is increased by 2 kg. If one more teacher weighing 66 kg is added, then the average weight of the class increases by 3.5 kg over the original average. What is the original average weight (in kg) of the class? Quantity II: The average age of 16 students and their teacher's age is 16 years. If the teacher's age is excluded, the average reduces by 2. What is the teacher's age? Quantity III: Average weight of three friends A, B and C is 46 kg. Another person D joins the group and now the average is 45 kg. If another person E whose weight is 6 kg more than D, joins the group replacing A, then average weight of B, C, D and E becomes 47 kg. What is the weight of A (in kg)?
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: A fruit seller sold 40% of his apples at a price of Rs. 80 per kg. Then he sold 30% of the remaining apples at a price of Rs. 100 per kg. Later, he sold 75% of the remaining apples for Rs. 120 per kg, and further remaining apples at Rs. 60 per kg. If he earned a total of Rs. 11762.50 from selling all his apples, how many apples did he have? Quantity B: 20% of the fruits in a shop are apples, while 40% of the remaining fruits are bananas. Also, 50% of the remaining fruits are mangoes. If the remaining fruits are 16 kg of pineapples and 20 kg of grapes, how many kg fruits are there in the shop?
The rainfall in Shillong for the first two days was in the ratio of 6 : 7. The average rainfall for the last four days was recorded to be 0.90 inch. The average rainfall of six days was 1.25 inch. Which of the following is/are correct? A. Average rainfall on 2nd day is 2.8 inch B. Average rainfall on 1st day is 1.8 inch C. Average rainfall on 2nd day is 2.1 inch D. Average rainfall on 1st day is 2.4 inch
The average of eight batsmen J, K, L, M, N, O, R, and T is compared. The number of batsman having average less than L are same as the number of batsman having average more than M. Average of T is less than M and more than K. Average of L is less than K. Average of two batsman lies between the average of M and L. Average of O is less than N and K both. Which of the following can be the correct sequence of their averages?
The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is
In a company there are 252 engineers, in which the ratio of the number of electronics engineers and computer engineers is 2 ∶ 1. The ratio of the number of electronics engineers and computer engineers becomes 1 ∶ 1 after recruitment of some more computer engineers. The average age of all the engineers is now 22 years and the average age of the computer engineers is 2 years less than the average age of electronics engineers. (A) The average age (in years) of electronics engineers is 21 (B) The average age (in years) of computer engineers is 21 (C) The average age (in years) of electronics engineers is 23 (D) The average age (in years) of electronics engineers is 25 (E) The average age (in years) of computer engineers is 23 Choose the correct answer from the options given below: 
In an arithmetic progression (AP), the 9th term is 5 times the 2nd term and the 8th term is 1 more than 10 times the first term. What is the 4th term of the geometric progression (GP) whose first term is the second term of AP and whose common ratio is equal to the common difference of AP?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. P is the average of 10 consecutive even numbers starting from 402, Q is the average of 7 consecutive odd numbers starting from 451 and R is the average of the sum of first 39 natural numbers and the sum of first 19 natural numbers. Quantity A: What is the average of P and Q? Quantity B: What is the average of P and R? Quantity C: What is the average of Q and R?