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Average Questions

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The average marks of 3 students A, B and C is 60. When another student D joins the group, the new average becomes 56 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B, C, D and E becomes 55 marks. How many marks did A get in the exam?


A50

B54

C51

D53

Answer: Option C

Explanation:

Given that A + B + C = 60 * 3 = 180
A + B + C + D = 56 * 4 = 224
Therefore, D = 44
E = 44 + 3 = 47
Given, B + C + D + E = 55 * 4 = 220
B + C + 44 + 47 = 220
? B + C = 220 - 91 = 129
So A + 129 = 180 ? A = 51

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Of a set of 30 numbers, average of first 10 numbers = average of last 20 numbers. Then the sum of the last 20 numbers is?


A2 x sum of first ten numbers

B2 x sum of last ten numbers

Csum of first ten numbers

DCannot be determined.

Answer: Option A

Explanation:

sum = average x number of observations.
Let the common average = x
Now sum of first 10 numbers = 10x
Sum of the last 20 numbers = 20x.
So sum of the last 20 numbers = 2 × sum of the first ten numbers.

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You have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46, and 78 Kgs.. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 Kgs.?


A178

B180

C181

D182

Answer: Option B

Explanation:

Answer: 180kg



Solution: Putting on the Maximum weights that is 78 52 50= 180kg



Checking the options we can see that 180kg weight measurement is possible therefore 180kg is the possible answer.

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Rajesh calculated his average over the last 24 tests and found it to be 76. He finds out that the marks for three tests have been inverted by mistake. The correct marks for these tests are 87, 79 and 98. What is the approximate percentage difference between his actual average and his incorrect average?


A1

B5

CNo Change

D2

Answer: Option C

Explanation:

Incorrect value is: 78, 97, 89
correct values are: 87, 79, 98

Difference between correct and incorrect value is= 9 + 9 -18=0

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There are 5 boxes in a cargo. The weight of the 1st box is 200 KG, the weight of the 2nd box is 20% higher than the third box, whose weight is 25% higher than the 1st box weight. The 4th box which weighs 350 KG is 30% lighter than the 5th box. Find the difference in average weight of the 4 heaviest boxes and the four lightest boxes.


A49

B76

C56

D75

Answer: Option D

Explanation:

Weight of 1st box=200

Weight of 3rd box=(125/100)*200=250 weight of 2nd box=(120/100)*250=300 weight of 4th box =350

Weight of 5th box=(10/7)*350=500

Average of 4 highest weighted Boxes = (500+350+300+250)/4 = 350
Average of 4 lightest boxes = (350+300+250+200)/4 = 275 Difference = (350-275) = 75

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The average temperature of Tuesday Wednesday and Thursday was 37 C. The average temperature of Wednesday and Thursday and Friday was 38 C. if the temperature on Friday was 39 C.

Find the temperature on Tuesday.


A37.33

B35

C38.33

D36

Answer: Option D

Explanation:

(Tues + Wed + Thurs)/3=37 Tues + Wed + Thurs=111...(1) (Wed + Thurs + Fri)/3=38 (Wed + Thurs + Fri) =114...(2) Given Friday is 39.

Then, (2) - (1) Fri - Tues = 3 So 39 - Tues = 3
Tuesday =36

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The average age of five girls 11.The oldest among them is 15 years old.What is the average of the others?


A20

B15

C10

Dnone of these

Answer: Option C

Explanation:

Let 'T' be the total age of 5 girls.
Then, T/5 = 11.
=> T = 55.
Given, Age of the Oldest girl = 15.
Then, Total age of other 4 girls will be 55-15=40.
So, Avg. of other 4 girls 40/4 = 10.

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vijay weighed 65 1/2kg, He gained 1 2/5kg during the first week, 1 1/1 kg during the second week, but lost 5/16kg during the third week. What is his weight after the third week?


A87 67/80 kg

B77 77/80 kg

C67 47/80 kg

DNone of these

Answer: Option C

Explanation:

After 3rd week his weight = (65 1/2 + 1 2/5 + 1 1/1 - 5/16)
By solving the above Answer will be 67 47/80 kg.

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Bob receives scores of 65, 70, 75, 78 and 11 What is the median test score?


A75

B78

C80

DNone of these

Answer: Option A

Explanation:

In ascending order: 65,70,75,78,112
middle number is 3rd i.e 75
so, median = 75

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The ratio between the boys and girls in a class in 6:5 if 8 more boys join the class and two girls leave the class then the ratio becomes 11: 7 What is the number of boys in the class now?


A28

B38

C44

D36

ENone of these

Answer: Option C

Explanation:

Let the no. of boys be 6x then number of girls will be 5x



Second case: (6x 8/5x-2)=11/7



42x 56=55x-22



x=6



Present number of boys in class= 6x 8= 44

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