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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 - 25 is the average of these number which are 40, 10, 25, 20, 35, x . find out the value of x?
Answer : B
Explanation
(40+10+25+20+35+x)/6 = 25 ⇒ 130+x = 150 = x = 20
Q 2 - 37 °C is mean temperature of 3 days Monday, Tuesday, Wednesday while 34°C is average of Tuesday, Wednesday and Thursday . What should be the temperature on Thursday if the temperature was 4/5 of that of Monday?
Answer : B
Explanation
M+ T+W =(37*3) = 111...(i) T+W+Th= (34*3) = 102 ...(ii) Th =4/5m ⇒ M = 5/4*th ...(iii) (ii)-(i) gives , M-Th = 9 ⇒ 5 Th /4 Th =9 If we assume that x° is the temperature on Thursday. Then, 5x/4 x =9 ⇒ 5x-4x = 36 ⇒ x = 36° Hence, its proves that the Thursday temperature was 36°.
Q 3 - An organization has 400 workers including officers. Rs. 10000 is the average salary of officers and Rs. 2000 is the labor average monthly salary. If Rs. 3000 is the total average salary of 400 workers then what should be the number of officers in the organization?
Answer : A
Explanation
If x is the number of officer in an organization. In that situation the number of workers will be (400-x). 10000x+ 2000 (400-x)= 400* 3000 ⇒ 10000x+ 800000-2000x =1200000 = 8000x = 1200000-80000 ⇒ x = 50 Total number of officer working in organization is 50.
Q 4 - 84 kg is the average weight of 3 people A, B and C. 80 kg is the average if D joins the group. A new man E replaces who have 3kg more weight than D. At that time 79 kg is the average weight of B, C, D and E. What should be the weight of A?
Answer : A
Explanation
A+B+C= (3*84)= 252 kg. A+B+C+D= (4*80)= 320 kg weight of D =( 320- 252) =68 kg. weight of E = (68+3)= 71 kg. sum of the weight of B+C+D+E= (79*4)= 316 kg , sum of the weight of B+C+D = (316-71)=245kg. Total weight of A = (320- 245 )= 75 kg.
Q 5 - find out the total value of 6 numbers if 45 is the arithmetic mean of 6 numbers.
Answer : D
Explanation
a,b,c,d,e,f is the given 6 numbers .Then , (a+b+c+d+e+f)/6 = 45 = (a+b+c+d+e+f) = 45*6 = 270. Sum of the given numbers = 270.
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 - Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is?
Answer - A
Explanation
Let the fourth number be z. then, third number = 5z, second number = 5z⁄3 and first number = 10z⁄3 z + 5z + 5z⁄3 + 10z⁄3 = (24.75 x 4) or 11z = 99 or z = 9 So, the numbers are 9, 45, 15, and 30. Therefore Largest number = 45.
Q 9 - A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is?
Answer - B
Explanation
Let average for 10 innings be z. Then, = 10z + 108⁄11 = 11z + 66 = 10z + 108 = z = 42. New average = (z + 6) = 48 runs.
Q 10 - The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is?
Answer - B
Explanation
Let the ratio be k : 1. then, k x 16.4 + 1 x 15.4 = (k + 1) x 15.8 (16.4 - 15.8) k = (15.8 - 15.4) k = 0.4⁄0.6 = 2⁄3