Today we am sharing some important questions of Average Chapter of quantitative Aptitude which are previously asked in different Bank exams, These questions are very useful for IBPS PO & Clerk and SBI PO & Clerk exams.
Average -
An average means the sum of n different items divided by n numbers of items.
The basic formula is
Or
Average Chapter Questions with Solutions
Ques 1 : Nine persons went to a hotel for taking their meals. Eight of them spent Rs 12 each on their meals and the ninth spent Rs 8 more then the average expenditure of all the nine. What was the total money spent by them?
a) Rs.115
b) Rs. 116
b) Rs. 117
d) Rs. 118
Ques 2 : David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, mathematics, physics, chemistry and biology. What are his average marks?
a) 65
b) 69
c) 75
d)none of above
Ques 3 : Find the average of all numbers between 6 and 34 which are divisible by 5.
a) 18
b) 20
c) 24
d) 30
Ques 4 : A student was asked to find the arithmetic mean of the numbers 3,11,7,9,15,13,8,19,17,21,14 and x. He found the mean to be 12. What should be the number in place of x?
a) 3
b) 7
c) 17
d) 31
Ques 5 : The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is?
a) 25
b) 27
c) 30
d) 35
Ques 6 : The average of runs of a cricket player of 10 innings was 32. How many runes must be make in his next innings so as to increase his average of runs by 4?
a) 2
b) 4
b) 70
d) 76
Ques 7 : The average weight of A, B and C is 45 kg. If the weight of A and B be 40 kg and that of B and C is 43 kg, then the weight of B is.
a) 17 kg
b) 20 kg
b) 26 kg
d) 31 kg
Ques 8 : The average monthly income of P and Q is Rs 5050. the average monthly income of Q and R is Rs 6250 and the average monthly income of P and R is Rs 5200. the monthly income of P is.
a) Rs 3500
b) Rs 4000
b) Rs 4050
d) Rs 5000
Ques 9 : The average age of 36 students in a group is 14 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years
a) 31
b) 36
b) 51
d) none of these
Ques 10 : The average monthly salary of 20 employees in an organizations is Rs 1500. if the manager’s salary is added, the average salary increases by 100. What is the manager’s monthly salary
a) Rs 2000
b) Rs 2400
c) Rs 3600
d) Rs 4800
Ques 11 : The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
a) 76 kg
b) 76.5 kg
b) 85 Kg
d) none of these
Ques 12 : The average of 11 results is 50. If the average of first six results is 49 and that of last six is 52, find the sixth result.
a) 56
b) 98
c) 45
d) 55
Ques 13 : A man bought 13 shirts of Rs 50 each, 15 Pants of Rs 60 each and 12 pairs of shoes at Rs 65 a pair. Find the average value of each article.
a) 58
b) 58.25
c) 60
d) 48
Ques 14 : The average weight of 4 men is increased by 3 kg when one of them who weighs 120 kg is replaced by another man. What is the weight of the new man?
a) 130 kg
b) 132 kg
b) 140 kg
d) 180 kg
Ques 15 : In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
a) 6.25
b) 6.5
c) 6.75
d) 7
Ques 16 : A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Ques 17 : A grocer has a sale of Rs 6435, Rs 6927, Rs 6855, Rs. 7230 and Rs 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
a) Rs 4991
b) Rs 5991
c) Rs 6001
d) Rs 6991
Ques 18 : The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
a) 0
b) 1
c) 10
d) 19
Ques 19 : The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
a) 76 kg
b) 76.5 kg
c) 85 kg
d) Data inadequate
Ques 20 : The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
a) 23 years
b) 24 years
c) 25 years
d) None of these
Answer
Answer 1 : b
Let the average expenditure of all the nine be Rs. X
Then, 12 × 8 + (X + 8) = 9X
Therefore X = 13.
Total money spent = 9X = Rs. (9 × 13) = Rs. 117
Answer 2 : c
Average = (76 + 65 + 82 + 67 + 85)/5 = 375/5 = 75
Hence average = 75.
Answer 3 : b
Average = (10 + 15 + 20 + 25 + 30)/5 = 100/5 = 20
Hence average = 20.
Answer 4 : b
Clearly we have
Therefore 137 + x = 144
Therefore x = 144 - 137 = 7
Answer 5 : c
Excluded number = (27 × 5) - (25 × 4)
=135 - 100
=35
Answer 6 : d
Average after 11 innings = 36
Required number of runs = ( 36 × 11) - (32 × 10)
= 396 - 320
= 76.
Answer 7 : d
Let A,B,C represent their respective weights. Then, we have
A + B + C = (45 × 3) = 135 (i)
A + B = (40 × 2) = 80 (ii)
B + C = (43 × 2) = 86 (iii)
Adding (ii) and (iii) we get: A + 2B + C = 166 (iv)
Subtracting (i) from (iv) we get B = 31
Therefore B’s weight = 31 kg
Answer 8 : b
Let P, Q and R represent their respective monthly incomes. Then, we have
P + Q = (5050 × 2) = 10100 (i)
Q + R = (6250 × 2) =12500 (ii)
P + R = (5200 × 2) = 10400 (iii)
Adding (i),(ii) and (iii), we get: 2(P + Q + R) = 33000 (iv)
Subtracting (ii) from (iv) we get p = 4000
Therefore p’s monthly income = Rs.4000
Answer 9 : c
Age of teacher = (37 × 15 - 36 × 14)years
= 51 years
Answer 10 : c
Manager’s monthly salary = Rs. (1600 × 21 - 1500 × 20)
=Rs. 3600
Answer 11 : b
Total weight increased= (8 × 2.5) kg = 20 kg
Weight of new person= (65 + 20) kg = 85 kg
Answer 12 : a
The total of 11 results = 11 × 50 = 550
The total of first 6 results= 6 × 49 = 294
The total of last 6 results= 6 × 52 = 312
The 6th result is common to both;
Sixth result = 294 + 312 - 550 = 56.
Answer 13 : b
Solution: Direct method:
Average=( 13 × 50 + 15 × 60 + 12 × 65)/(13 + 15 + 12)
= Rs 58.25.
Answer 14 : b
If the average weight is increased by 3 kg, then the sum of weights increases by 3 × 4 = 12 kg.
And thus increase in weight is due to the extra weight included due to the inclusion of new person.
Therefore weight of new man = 120 + 12 = 132 kg.
Answer 15 : a
Required run rate =
Answer 16 : b
Required average =
Answer 17 : a
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 × 6) - 34009 ]
= Rs. (39000 - 34009)
= Rs. 4991.
Answer 18 : d
Average of 20 numbers = 0.
Sum of 20 numbers (0 × 20) = 0.
It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).
Answer 19 : c
Total weight increased = (8 × 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
Answer 20 : a
Let the average age of the whole team by x years.
11x - (26 + 29) = 9(x -1)
11x - 9x = 46
2x = 46
x = 23.
So, average age of the team is 23 years.