# Aptitude - Averages Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Averages**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

Q 1 - Find out the average of A and B if the given value of 16A+ 16B = 48

### Answer : A

### Explanation

16a+16b = 48 ⇒ 16(a+b) = 48 ⇒ (a+b) = 3 So, we have a and b average is (a+b)/2 = 3/2 = 1.5

Q 2 - 23 is the average of 3 friends if we add 1 more person then the value of average will be same or no change. Find out the age of the new person?

### Answer : D

### Explanation

3 friends have the sum of the ages = (3*23)= 69 ...(i) 4 friend have the sum of the ages = (4*23)=92 ...(ii) Difference between the (i) and (ii) is the age of the new person. We find that the age of the new person is (92-69)= 23 years.

Q 3 - Find out the total employee's quantity if the given condition such that Rs. 8500 is the average salary of workers. 10000 Rs. is the average monthly salary of 7 technicians and remaining worker has Rs. 7800 average salary of the month.

### Answer : B

### Explanation

If x employees working in firm . then (7* 10000)+7800(x-7 )= 8500 = 70000 +7800x-546 00 =8500x ⇒ 700x = 15400 ⇒ x = 22 We find that 22 employees are working in the firm.

Q 4 - Before the period of 10 years, 24years is the average of 4 member’s family. After two children born, the average age of the family no change if 2 years is the age difference between 2 children then what should be the youngest child age?

### Answer : A

### Explanation

x is the age of the youngest child. Then, elder son child age = (x+2) years. At the present day average age of 6 members = 24 years. At the present day , some of the ages of 6 members = (24*6)= 144 years. (24*4)+(10*4) +x+(x+2) =144 ⇒ 2x = 6 ⇒ x= 3 At the present time the youngest child have 3 year age old.

Q 5 - What should be the largest number if first number is the half of the second number and third number is 1/3 of the second number? 44 is the average of three numbers?

### Answer : A

### Explanation

if x is the third number , then second number = 3x ∴ first number = 3x/2 Average =1/3 (3x/2+3x+x) ⇒ (11x/6) =44 ⇒ 11x=264 ⇒ x = 24 Hence, the second number (24*3)=72 is the largest number.

Q 6 - 450 is the sum of four numbers and 50 is the mean. Find out the new mean if 100 more numbers included?

### Answer : C

### Explanation

If the number of numbers be A. then, 50A= 450 ⇒ A = 9

Q 7 - The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?

**Answer - D**

**Explanation**

Average after 11 innings = 36. Therefore Required number of runs = (36 x 11) - (32 x 10) = 396 - 320 = 76.

Q 8 - The average age of 15 students of a class is 15 years. Out of these, the average age of 5 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is?

**Answer - A**

**Explanation**

Age of the 15th student = [15 x 15 - (14 x 5 + 16 x 9)] = (225 - 214) = 11 years.

Q 9 The average weight of 8 persons increases by 2.5kg when a new person comes in place of one of them weighing 65kg . what might be the weight of the new person?

**Answer - A**

**Explanation**

Total weight increased = (8 x 2.5) kg = 20kg Weight of new person = (65 + 20) kg = 85kg.

Q 10 - A crickter whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was:?

**Answer - B**

**Explanation**

Let the number of wickets taken till the last match be z. Then,^{12.4z + 26}⁄_{z + 5}= 12 = 12.4z + 26 = 12z + 60 = 0.4z = 34 z =^{34}⁄_{0.4}z =^{340}⁄_{4}= 85