GATE 2022: General Aptitude: Averages & Problems on ages

The average of john's family consisting of 5 members 3 year ago was 35 years. One year ago a new baby was born in this family. Three years hence the average age of the family will be:

In an examination average marks of passed and failed student were 39 and 15 respectively. If average marks obtained by all 120 students was 35, then number of passed students was:

A batsman scored 96 runs in his 13^th innings and hence his average run is 5 more than that in 12 innings. What is his average after the 13th innings?

The average weight of some students in a class is 68.5 kg. If four new students of 72.2 kg, 70.8 kg, 70.3 kg, 66.7 kg are enrolled in the class, the average weight of students increases to 300 g. Initially, how many students were there in the class?

A cricketer, whose bowling average is 28.75, runs per wicket, takes 9 wickets for 56 runs and thereby decreases his average by 0.75. The number of wickets taken by him till the last match was :

One Bakery has to make 810 cakes and another one 900 cakes during the same period of time. In the first bakery, the order was ready 3 days in advance, whereas in the second bakery, 6 days in advance. How many cakes did each bakery make a day if the second bakery made 21 cakes more a day than the first?

Three years ago ratio of son & father’s ages was 1: 9 respectively. Ratio of present ages of son & the mother is 4 : 21. Present ages of father is 6 years more than that of mother. Find out the age of the mother.

Ram was born 30 years after his father was born. His sister was born 25 years after her mother was born. The average age of the four members family is 26.25 years right now. Ram sister die after 4 year from now, and the average age of the remaining family will become 107/3 years. What is the present age of his father?