Questions on Average Data Sufficiency Practice Paper - 2 with Answer Key and Solution [Quantitative Aptitude]

Here is solved questions of problems on Average Data Sufficiency [quantitative aptitude] for SBI PO and IBPS exams. Problems on finding average and check for sufficiency of data related questions are asked in almost all entrance examinations and candidates need to practice this section very hard to score good marks and hence good position in merit list.

 

Average Data Sufficiency [Quantitative Aptitude] Model Test Paper - 2

 

Maximum Marks: 10     /      Duration: 10 Mins

In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer 

(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question.
(D) If the data given in both statements I and II together are not sufficient to answer the question and
(E) If the data in both statements I and II together are necessary to answer the question.

Q.1. Average age of employees working in a department is 30 years. In the next year, ten workers will retire. What will be the average age in the next year?
I. Retirement age is 60 years.
II. There are 50 employees in the department.

Explanation (Show/Hide)

Average age of 50 employees = 30 years.
Total age of 50 employees = (50 x 30) years = 1500 years.
Number of employees next year = 40.
Total age of 40 employees next year (1500 + 40 – 60 x 10) = 940.
Average age next year = 940/40
Thus, I and II together give the answer. So, correct answer is (E).

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Q.2. What is the average of x, y, and z?
I. 2x + y + 4z = 23
II. 3x + 4y + z = 22

Explanation (Show/Hide)

To find the average of three numbers we need the total (x + y + z). Neither statement alone can give this value, but if we add the equations in I and II we get 5x + 5y + 5z = 45. Hence x + y + z = 9, and average is 9/3 = 3. Hence the answer is E.

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Q.3. What is the average age of children in the class?
I. The age of the teacher is as many years as the number of children.
II. Average age is increased by 1 year if the teacher's age is also included.

Explanation (Show/Hide)

Both statements are not sufficient.

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Q.4. There are twenty students in a class, all of whom scored between 0 and 100 on their final exams. If the class average was 85, how many people scored below the average score on the exam?
I. Twelve people in the class scored higher than an 85.
II. The lowest eight scores added up to 640.

Explanation (Show/Hide)

According to statement I, 12 people scored higher than 85 but there could be students who may have scored 85. So I is not sufficient.
From statement II, average of lowest 8 scores is just 80, but no clear idea about how many students scored lower than 85. So D is correct answer.

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Q.5. What is the average (arithmetic mean) of x and y?
I. The average (arithmetic mean) of x, y and k is 7.
II. The average (arithmetic mean) of x, y and 3k is 13.

Explanation (Show/Hide)

From I: x + y + k = 21
From II: x + y + 3k = 39
solving I and II and eliminating k
x + y = 12
Hence average of x and y is 6.

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Q.6. The average age of P, Q, R and S is 30 years. How old is R?
I. The sum of ages of P and R is 60 years.
II. S is 10 years younger than R.

Explanation (Show/Hide)

Given Avg (P, Q,R, S) = 30
So, P + Q + R + S = 120
From I: P + R = 60
=> Q + S = 60
From II: S = R - 10
We can't determine age of R from I and II.

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