Average Test-2

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Average Test-2

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Weekly Quiz Competition

Question 1
1 / -0.25

The average age of 24 boys and their teacher is 15 years. When the teacher ’s age is excluded, the average age decreases by one year. The age of the teacher is

A
40 years

B
38 years

C
39 years

D
41 years

E
None of these

Solution

Age of the teacher = (25 ×15 −24 ×14)years
(375 −336) years= 39years

So, the correct option is 'C '
Question 2
1 / -0.25

The average of five positive numbers is 213. The average of the first two numbers is 233.5 and the average of last two numbers is 271. What is the third number?

A
64

B
56

C
106

D
Cannot be determined

E
None of these

Solution

►The sum of the five numbers = 5 * 213 =1065

►The sum of the first two numbers = 2 * 233.5 = 467

►The sum of the last two numbers = 542

►Then the sum of the four numbers = 467 + 542 =1009

►So, the third number will be = 1065 –1009 = 56

So, the correct option is 'B '
Question 3
1 / -0.25

The average weight of 8 men is increased by 1.5 kg when one of them whose weight is 65 kg is replaced by a new man. The weight of the new man is

A
72 kg

B
70 kg

C
74 kg

D
77 kg

E
None of these

Solution

Total weight increased = (8 * 1.5) kg = 12 kg.
Weight of new man = 65 + 12 = 77 kg

So, the correct option is 'D '
Question 4
1 / -0.25

The average weight of 21 boys was recorded as 64 kg. If the weight of the teacher was added, the average increased by one kg. What was the teacher 's weight?

A
82 kg

B
85 kg

C
86 kg

D
90 kg

E
None of these

Solution

Here, n = 21, a = 64, b = 65
Weight of teacher = n (b - a) + b
= 21 (65 - 64) + 65 = 21 + 65 = 86 kg

So, the correct option is 'C '
Question 5
1 / -0.25

The average height of 16 students in a class is 142 cm. If the height of the teacher is added the average increases by 1 cm. What is the height of the teacher in cm?

A
159

B
150

C
142

D
148

E
155

Solution

Height of the teacher = (17 * 143) −(16 * 142) = 2431 - 2272 = 159 cm

So, the correct option is 'A '
Question 6
1 / -0.25

The average weight of 15 girls was recorded as 54 kg. If the weight of the teacher was added, the average increased by two kg. What was the teacher 's weight.

A
72 kg

B
73 kg

C
74 kg

D
86 kg

E
None of these

Solution

Given that average is 54 kg for 15 girls.

(Sum of weight of 15 girls) / 15 = 54

Sum of weight of 15 girls = 15 x 54 = 810

Now weight of teacher is also added so the average becomes 54 + 1 kg = 55 kg

(Sum of weight of 15 girls + Weight of teacher ) / (15 girls + 1 teacher)  = New average = 55 (Given)

(810 + Weight of teacher ) / (16) = 55 + 1

810 + Weight of teacher = 16 (56)

Weight of teacher = 896 - 810 = 86 kg

So, the correct option is 'D '
Question 7
1 / -0.25

Find the average of first 10 even numbers

A
11

B
12

C
18

D
9

E
None of these

Solution

2+4+6+8+10+12+14+16+18+20/10 = 110/10
=11

So, the correct option is 'A '
Question 8
1 / -0.25

Find the average of first 15 odd numbers

A
18

B
14

C
20

D
15

E
None of these

Solution

►The first 15 odd numbers are 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29

►The sum of first 15 odd numbers are 225

►Therefore mean is equal to 225/15=15

►Median =Middle value=15

So, the correct option is 'D '
Question 9
1 / -0.25

What will be the average of even numbers between 11 to 63

A
37.5

B
47

C
42

D
37

E
None of these

Solution

Even numbers between 11 to 63
= 12,14,16,18,20,..........,62.
Clearly, this is a series of consecutive even numbers.

According to the formula,
Average of consecutive even numbers = (First number + Last number)/2 = (12 + 62)/2 = 74/2

So, the correct option is 'D '
Question 10
1 / -0.25

The average of 7 consecutive numbers is 20. The largest of these numbers is :

A
21

B
22

C
23

D
24

E
None of these

Solution

Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6
Then [x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)] / 7 = 20.
⇒ 7x + 21 = 140
⇒ 7x = 119
⇒ x =17.

Latest number = x + 6 = 23.

So, the correct option is 'C '

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Re-Attempt Weekly Quiz Competition

Average Test-2

Result

Average Test-2

Score

-

Rank

-

SHARING IS CARING

Question 1

40 years

38 years

39 years

41 years

None of these

Solution

Question 2

64

56

106

Cannot be determined

None of these

Solution

Question 3

72 kg

70 kg

74 kg

77 kg

None of these

Solution

Question 4

82 kg

85 kg

86 kg

90 kg

None of these

Solution

Question 5

159

150

142

148

155

Solution

Question 6

72 kg

73 kg

74 kg

86 kg

None of these

Solution

Question 7

11

12

18

9

None of these

Solution

Question 8

18

14

20

15

None of these

Solution

Question 9

37.5

47

42

37

None of these

Solution

Question 10

21

22

23

24

None of these

Solution

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Question Analysis