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Home » GAT Subject » Mathematics » Aptitude Test - 5
1.The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ___.
A. 149
B. 151
C. 152
D. 149
2.In an exam, Amir scored 64 percent, Masood scored 36 percent and asif 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
A. 384
B. 364
C. 324
D. 384
3.The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
A. 20
B. 15
C. 25
D. 20
4.A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
A. 60
B. 64
C. 72
D. 60
5.The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
A. 58
B. 86
C. 49
D. 58
6.The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest).
A. 18 years
B. 14 years
C. 20 years
D. 18 years
7.The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
A. 75
B. 150
C. 50
D. 75
8.The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places)?
A. 179.29 cm
B. 178.29 cm
C. 179.38 cm
D. 179.29 cm
9.The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
A. 30 Years
B. 31 years
C. 26 years
D. 30 Years
10.The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
A. 31
B. 29
C. 28
D. 31
11.The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally?
A. 4
B. 5
C. 6
D. 4
12.A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
A. 6060
B. 7070
C. 5550
D. 6060
13.The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
A. Rs. 25
B. Rs. 18
C. Rs. 15
D. Rs. 25
14.The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
A. 180
B. 170
C. 190
D. 180
15.Find the average of the series : 312, 162, 132, 142 and 122?
A. 194
B. 174
C. 162
D. 194
16.The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
A. 22
B. 24
C. 12
D. 22
17.The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
A. 72
B. 45
C. 37
D. 72
18.The average of 10 numbers is 23. If each number is increased by 4, what will the new average?
A. 22
B. 27
C. 25
D. 22
19.The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
A. 125
B. 134
C. 170
D. 125
20.The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
A. 3000
B. 2500
C. 4500
D. 3000
21.The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
A. 50
B. 47.5
C. 59
D. 50
22.A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
A. 17
B. 29
C. 18
D. 17
23.The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
A. 46
B. 32
C. 68
D. 46
24.Find the average of the first 20 natural numbers?
A. 10
B. 11.5
C. 12
D. 10
25.The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
A. 46
B. 56
C. 34
D. 46
26.The average of five results is 46 and that of the first four is 45. The fifth result is__________?
A. 1
B. 10
C. 12.5
D. 1
27.Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
A. 1 year
B. 1.5 years
C. 2 years
D. 1 year
28.The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
A. 1540
B. 960
C. 840
D. 1540
29.The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
A. 55 kg
B. 62 kg
C. 56 kg
D. 55 kg
30.The average marks in mathematics scored by the students of a school at the public examination were 39. If four of these students who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of students sent up for examination from the school?
A. 20
B. 25
C. 30
D. 20
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