Online exam in Average For Quantitative Aptitude for Competitive exams like IBPS BANK PO/Clerical,SBI,RRB,SSC,LIC,UPSC-CSAT,SCRA.MAT,CMAT,MBA,SNAP,CAT,NTSE,CLAT
Average-Test 2
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Subject :- Quantitative Aptitude
Chapter :- Averages- Test 2
Questions :- 25
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There were 46 students in a Boys hostel. Due to the admission of eight new students the expenses of the hostel mess were increased by Rs.42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the hostel mess?
Correct
54*(x−1)−46*x = 42
8x = 96
x = 12
Original total expenditure:
46*x = 46*12 = Rs.552
Incorrect
54*(x−1)−46*x = 42
8x = 96
x = 12
Original total expenditure:
46*x = 46*12 = Rs.552
Question 2 of 25
2. Question
1 points
The average salary of the entire staff in a office is Rs 250 per month. The average
salary of officers is Rs 520 and that of non-officers is Rs. 200. If the number of
officers is 15, then find the number of non–officers in the office
Correct
Let the required number of non–officers = x
200x + 520 x 15 = 250 ( 15 + x )
250x – 200x = 520 * 15 – 250 x 15
50x = 4050
x = 81
Incorrect
Let the required number of non–officers = x
200x + 520 x 15 = 250 ( 15 + x )
250x – 200x = 520 * 15 – 250 x 15
50x = 4050
x = 81
Question 3 of 25
3. Question
1 points
Mr.Suresh‟s average monthly expenditure for the first four months of the year was Rs.260 For the next five months,the average monthly expenditure was Rs.40 more than what it was during the first four months. If he spent Rs.560 in all during the remaining three months of the year, Find what percentage of his annual income of Rs.5000 did he save in the year?
Correct
Suresh’s average monthly expenditure for
the first four months of the year = Rs.260.
260 * 4 = Rs. 1040
For the next five months,the average
monthly expenditure was Rs.40 more than
what it was during the first four months. He
spent 260 + 40 for one month
In 5 months he spent 300 * 5 = 1500
He spent Rs.560 in all during the remaining
three months of the year.
Total expenditure = 1040 + 1500 + 560 =
3100
Savings = 5000-3100 = 1900
% savings = 1900/5000 * 100 = 38%
Incorrect
Suresh’s average monthly expenditure for
the first four months of the year = Rs.260.
260 * 4 = Rs. 1040
For the next five months,the average
monthly expenditure was Rs.40 more than
what it was during the first four months. He
spent 260 + 40 for one month
In 5 months he spent 300 * 5 = 1500
He spent Rs.560 in all during the remaining
three months of the year.
Total expenditure = 1040 + 1500 + 560 =
3100
Savings = 5000-3100 = 1900
% savings = 1900/5000 * 100 = 38%
Question 4 of 25
4. Question
1 points
The average age of a group of persons going for tour to Shimla is 22 years. 25
new persons with an average age of 10 years join the group and their average
age becomes 12 years. The number of persons initially going for tour is?
In English exam, the average of Class “A” was found to be “x” marks. After deducting a computational error, the average marks of 100 candidates got reduced from 74 to 54. The average thus came down by 25 marks. The total numbers of candidates who took the
English exam were?
Correct
(74 – 54) * 100 = 25 * x
x = 20 * 100 / 25 = 80
Incorrect
(74 – 54) * 100 = 25 * x
x = 20 * 100 / 25 = 80
Question 6 of 25
6. Question
1 points
The average salary of 90 employees in an organization is Rs.14.500 per month. If
the no of executive is twice the no of clerks, then find the average salary of clerk ?
Correct
90 => 2:1=> 60:30
Total Salary = 60*salary of executive +30 *
salary of clerk
90*14500 = 60*x+30*y
X, y not given so we can’t determine
Incorrect
90 => 2:1=> 60:30
Total Salary = 60*salary of executive +30 *
salary of clerk
90*14500 = 60*x+30*y
X, y not given so we can’t determine
Question 7 of 25
7. Question
1 points
The average value of property of Agil, Mugilan and Anitha is Rs.130cr.The Property of Agil is 20cr greater than the property value of Mugilan and Anitha property value is 50cr greater than the Agil property value. The value of property of Anitha is
Correct
Property value of Mugilan x
130*3 = x+x+20+x+20+50
390 = 3x+90
3x=300
X=100
Anitha = 100+20+50 = 170
Incorrect
Property value of Mugilan x
130*3 = x+x+20+x+20+50
390 = 3x+90
3x=300
X=100
Anitha = 100+20+50 = 170
Question 8 of 25
8. Question
1 points
If the average marks of 1/5th of class is 70% and 2/5th class is 45% and the average mark of remaining class is 60%, then the average % of the whole class is
The average price of 100 mobiles in an electronic shop is Rs.27,000. If the highest
and lowest mobiles are sold out then the remaining 98 mobiles average price is
26,400.The cost of lowest mobile is Rs.18,000.Find the cost of highest mobile
price
Correct
100*27000 – 98*26400 = 27,00,000 –25,87,200 = 1,12,800
The cost of highest mobile price = 1,12,800-18,000 = 94800
Incorrect
100*27000 – 98*26400 = 27,00,000 –25,87,200 = 1,12,800
The cost of highest mobile price = 1,12,800-18,000 = 94800
Question 10 of 25
10. Question
1 points
There are 10 compartments in passenger train carries on average 15 passengers per compartment. If atleast 15 passengers were sitting in each compartment, no any compartment has equal no of passengers , and any compartment does not exceed the
number of average passengers except 10th compartment.Find how many passengers can be accommodated in 10th compartment ?
Correct
No of passengers = 15*10 = 150
15+14+13+12+11+10+9+8+7 = 99
150 -99 = 51
Incorrect
No of passengers = 15*10 = 150
15+14+13+12+11+10+9+8+7 = 99
150 -99 = 51
Question 11 of 25
11. Question
1 points
There are five times the number of two wheelers as there are three wheelers. The no of four wheelers are equal to the number of two wheelers. Find the average number of wheel per vehicle ?
Correct
No of 3 wheeler = x, no of wheels = 3x
No of 2 wheeler = 5x, no of wheels = 10x
No of 4 wheeler =5x, no of wheels = 20x
Avg = 3x+10x+20x/x+5x+5x = 33x/11x = 3
Incorrect
No of 3 wheeler = x, no of wheels = 3x
No of 2 wheeler = 5x, no of wheels = 10x
No of 4 wheeler =5x, no of wheels = 20x
Avg = 3x+10x+20x/x+5x+5x = 33x/11x = 3
Question 12 of 25
12. Question
1 points
In a particular week the average number of people visited the museum is 70. If we exclude the holidays then the average number is increased by 28. Further if we exclude the day which the maximum of 210 visitors visited the museum, then the average become 40.Find the no of holidays in the week
Correct
Total no of visitors in a week = 70* 7 = 490
X = no of holidays
Exclude hloidays
(7-x)*98 =490
7-x = 5
X = 2
Incorrect
Total no of visitors in a week = 70* 7 = 490
X = no of holidays
Exclude hloidays
(7-x)*98 =490
7-x = 5
X = 2
Question 13 of 25
13. Question
1 points
Arjun gets 62 marks out of 100 in English, 81 out of 120 in Chemistry and 75 out of 150 in maths. The average marks of Arjun(in %) in all the three subjects is
Correct
62/100 = 62%
81/120 = 67.5%
75/150 = 50%
Avg = 62+67.5+50/3 = 179.5/3 = 59.8 =
60%
Incorrect
62/100 = 62%
81/120 = 67.5%
75/150 = 50%
Avg = 62+67.5+50/3 = 179.5/3 = 59.8 =
60%
Question 14 of 25
14. Question
1 points
The average salary of 120 employees in the bank is Rs.15,000 per month. If the no
of assistant is thrice the no of POs and average salary of assistant is 1/3rdof the
average salary of POs then find the average salary of POs ?
In a class of 60 students 23 are girls. The average mark of boys is 45 and average mark of girls is 52. What is the average mark of the class?
Correct
60 students => 23 G and 37 B
Average = 23*52 + 37*45/ 60
= 2965/60 = 47.7
Incorrect
60 students => 23 G and 37 B
Average = 23*52 + 37*45/ 60
= 2965/60 = 47.7
Question 16 of 25
16. Question
1 points
The average weight of 40 students in a class is 75 kg. By mistake the weights of
two students are read as 74 kg and 66 kg respectively instead of 66 kg and 54 kg.
Find the corrected average weight of the class
Correct
Weight of 40 students = 40*75
new weight = 40*75 – 74 – 66 + 66 + 54 = 40*75 – 20
so new average =( 40*75 – 20)/40 = 74.50 kg
Incorrect
Weight of 40 students = 40*75
new weight = 40*75 – 74 – 66 + 66 + 54 = 40*75 – 20
so new average =( 40*75 – 20)/40 = 74.50 kg
Question 17 of 25
17. Question
1 points
The average weight of 40 balls is 5 grams. When the weight of the basket is
added to the weight of balls, the average increased by 0.5 grams. Find the weight
of the basket.
Correct
(40*5 + B)/41 = 5.5 (B is the weight of
basket)
Incorrect
(40*5 + B)/41 = 5.5 (B is the weight of
basket)
Question 18 of 25
18. Question
1 points
There are 50 students in a hostel. Now the number of students got increased by 8. Due to this the expenses of the mess increased by 30 rupees per day while the average expenditure is decreased by 2 rupees. Find the original expenditure.
Correct
Let initial expenditure is E per day. Now it
is increased by 30 rupees per day,
Initial students = 50 and now they are 58, E/50 – (E + 30)/58 = 2
Solve for E, We will get E = 912.5 rupee.
Incorrect
Let initial expenditure is E per day. Now it
is increased by 30 rupees per day,
Initial students = 50 and now they are 58, E/50 – (E + 30)/58 = 2
Solve for E, We will get E = 912.5 rupee.
Question 19 of 25
19. Question
1 points
The average age of the class is 15 years. The average age of boys and girls is 13
and 16 years respectively. If the number of girls in the class is 18 then find the
number of boys in the class.
Correct
B*13 + 18*16 = 15*(18 + B)
Incorrect
B*13 + 18*16 = 15*(18 + B)
Question 20 of 25
20. Question
1 points
A cricketer has an average of 55 after playing 20 innings. How much runs
should he scores in the next inning so as to increase the average to 57.
Correct
Runs after 20 innings = 55*20, so (1100 +
X)/21 = 57, after solving we will get X = 97
Incorrect
Runs after 20 innings = 55*20, so (1100 +
X)/21 = 57, after solving we will get X = 97
Question 21 of 25
21. Question
1 points
The average marks obtained by 100 candidates in an examination are 45. If the average marks of the passed students are 50 while the average marks of the
failed students is 40. Then find the number of students who passed the
examination.
Correct
Let P = passed students and failed students =F.
So
45*100 = 50*P + 40*F and P + F = 100.
Solve for F and P, we will get P = 50.
Incorrect
Let P = passed students and failed students =F.
So
45*100 = 50*P + 40*F and P + F = 100.
Solve for F and P, we will get P = 50.
Question 22 of 25
22. Question
1 points
The average age of 30 students is 16 years. If the age of the teacher is also
included then the average age increased by 1 year, find the age of the teacher.
Correct
Teacher age is T years. So, 30*16 + T = 31*17
Incorrect
Teacher age is T years. So, 30*16 + T = 31*17
Question 23 of 25
23. Question
1 points
The present average age of a family of 5 members is 40 years. If the youngest
member of the family is 12 years old, then find the average age of the family at the
time of birth of the youngest member.
Correct
Present age of the family = 5*40 = 200
years.
12 years ago at the time of the birth of
youngest member, age of family = 200 –
12*5 = 140.
So average age = 140/4 = 35 year
Incorrect
Present age of the family = 5*40 = 200
years.
12 years ago at the time of the birth of
youngest member, age of family = 200 –
12*5 = 140.
So average age = 140/4 = 35 year
Question 24 of 25
24. Question
1 points
The average age of a husband and wife at the time of marriage is 22 years. After
3 years, they have a one year old child. Find the average age of the family of three at the time of birth of the child.
Correct
At the time of marriage sum of the age of
husband and wife = 44 years.
After three years, total age of the family = 44 + 3+ 3+ 1 = 51 years.
At the time of child birth, age of family = 51-1-1-1 = 48 years.
So average age = 48/3 = 16 years
Incorrect
At the time of marriage sum of the age of
husband and wife = 44 years.
After three years, total age of the family = 44 + 3+ 3+ 1 = 51 years.
At the time of child birth, age of family = 51-1-1-1 = 48 years.
So average age = 48/3 = 16 years
Question 25 of 25
25. Question
1 points
In a certain year the average monthly salary of a person is 5000 rupees. If for
the first 7 months the average salary is 5300 and for the last 6 months, the
average salary is 4600 rupees. Find the income of the person in 7th month.
Correct
Let the income of seventh month is A, then
12*5000 = 5300*7 + 5300*6 – A
Incorrect
Let the income of seventh month is A, then
12*5000 = 5300*7 + 5300*6 – A
