Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The present age of a father is twice as that of his son. 10 years ago, the age of father was thrice the age of his son. If the ratio of present age of son’s mother to father is 9 : 8, then find the difference between present age of mother and son (in years)?
24
30
18
25
20
Correct answer
25
The length of rectangular field is thrice its breadth. If Rs. 960 is required to fencing the field at the rate Rs 7.5 per sq. m, then what would be the difference between the length and breadth of the field?
32 m
16 m
24 m
48 m
40 m
Correct answer
32 m
A is the set of ten consecutive numbers, while the average of second lowest and the highest number of set A is 32. If B is the set of five consecutive odd number which lowest number is equal to second highest number of set A, then find the average of set B?
41
37
39
43
45
Correct answer
39
A spends 30% of his monthly income on rent, 25% of the remaining on groceries, and the remaining amount on entertainment and savings in the ratio 2:3, respectively. What percentage of his income is spent on entertainment?
19%
21%
30%
25%
18%
Correct answer
21%
A tank contains 149.99 liters of juice and soda, in which 49.99 liters are soda. If 30.12 liters of mixture are taken out and 10.02 liters of pure juice are added, then find the ratio of juice to soda in the resultant mixture.
6:5
8:3
5:7
4:5
9:4
Correct answer
9:4
A and B can complete a work in 15 and 30 days, respectively. A and B work together for 6 days, and then A leaves. C joins the work, and B & C together complete the remaining work in 5 days. In how many days can C complete the whole work alone?
110/9
123/8
150/7
121/3
None of these
Correct answer
150/7
A sold two items, X and Y, at 25% and 35% profit, respectively. If the difference between their profit is Rs 750 and the cost price of both items is the same, find the cost price of item X.
Rs 750
Rs 1750
Rs 7500
Rs 8750
Rs 5750
Correct answer
Rs 7500
The ratio of the speed of a boat in still water to the speed of a current is 4:1. The total time taken by the boat to cover D km downstream and D - 10 km upstream is 12 hours. Find D.
125
105
80
Can’t be determined
None of these
Correct answer
Can’t be determined
The speed of train A is 20 m/sec, which is double the speed of train B. The ratio of the length of the trains A to B is 10:7, respectively. Train B can cross a pole in 28 seconds; then find the length of train A (in meters).
400
250
280
360
440
Correct answer
400
A invested Rs P+500 in compound interest for two years at 10% p.a. and received interest of Rs 840. If he invested Rs P at 15% p.a. for simple interest for the same period, then find the amount he received (in Rs).
4000
4550
1550
3500
4050
Correct answer
4550
Directions (41-45): The table given below shows the total number of volleyball, bat and footballs sold in five different days. It also shows the ratio of bats to football and difference between bat and football is given.
| Days | Volleyball + bats + footballs | Bats : footballs | Difference between bats and footballs |
|---|---|---|---|
| Monday | 140 | 5:1 | 60 |
| Tuesday | 129 | 2:1 | 38 |
| Wednesday | 100 | 1:3 | 40 |
| Thursday | 140 | 3:2 | 20 |
| Friday | 130 | 1:1 | 0 |
Note - Total volleyballs sold on Monday is equal to the total football sold on Friday.
Q41. There are two types of volleyball sold A and B on Thursday. Type A volleyball sold is 66.66% that of type B. Find the type B volleyball sold.
24
25
16
90
80
Correct answer
24
Directions (41-45): The table given below shows the total number of volleyball, bat and footballs sold in five different days. It also shows the ratio of bats to football and difference between bat and football is given.
| Days | Volleyball + bats + footballs | Bats : footballs | Difference between bats and footballs |
|---|---|---|---|
| Monday | 140 | 5:1 | 60 |
| Tuesday | 129 | 2:1 | 38 |
| Wednesday | 100 | 1:3 | 40 |
| Thursday | 140 | 3:2 | 20 |
| Friday | 130 | 1:1 | 0 |
Note - Total volleyballs sold on Monday is equal to the total football sold on Friday.
Q42. On Wednesday, 20% of the equipment sold are defective out of which 9 equipment are bat and the ratio of defective volleyball to football sold is 5:6. Find the defective bat and football sold.
24
15
16
20
45
Correct answer
15
Directions (41-45): The table given below shows the total number of volleyball, bat and footballs sold in five different days. It also shows the ratio of bats to football and difference between bat and football is given.
| Days | Volleyball + bats + footballs | Bats : footballs | Difference between bats and footballs |
|---|---|---|---|
| Monday | 140 | 5:1 | 60 |
| Tuesday | 129 | 2:1 | 38 |
| Wednesday | 100 | 1:3 | 40 |
| Thursday | 140 | 3:2 | 20 |
| Friday | 130 | 1:1 | 0 |
Note - Total volleyballs sold on Monday is equal to the total football sold on Friday.
Q43. On Saturday, the number of bat sold are 20% more than that of Monday and average number of football and volleyball sold is 50. Find the total equipment sold on Saturday.
100
125
160
190
180
Correct answer
190
Directions (41-45): The table given below shows the total number of volleyball, bat and footballs sold in five different days. It also shows the ratio of bats to football and difference between bat and football is given.
| Days | Volleyball + bats + footballs | Bats : footballs | Difference between bats and footballs |
|---|---|---|---|
| Monday | 140 | 5:1 | 60 |
| Tuesday | 129 | 2:1 | 38 |
| Wednesday | 100 | 1:3 | 40 |
| Thursday | 140 | 3:2 | 20 |
| Friday | 130 | 1:1 | 0 |
Note - Total volleyballs sold on Monday is equal to the total football sold on Friday.
Q44. Bats sold on Wednesday and Tuesday together is what percentage more or less than football sold on Friday.
94
92
96
90
80
Correct answer
92
Directions (41-45): The table given below shows the total number of volleyball, bat and footballs sold in five different days. It also shows the ratio of bats to football and difference between bat and football is given.
| Days | Volleyball + bats + footballs | Bats : footballs | Difference between bats and footballs |
|---|---|---|---|
| Monday | 140 | 5:1 | 60 |
| Tuesday | 129 | 2:1 | 38 |
| Wednesday | 100 | 1:3 | 40 |
| Thursday | 140 | 3:2 | 20 |
| Friday | 130 | 1:1 | 0 |
Note - Total volleyballs sold on Monday is equal to the total football sold on Friday.
Q45. Find the average number of bats sold on Monday, Tuesday and Wednesday.
24
57
16
90
80
Correct answer
57
Directions (46-50): The pie chart given below shows the number of science and commerce student in five different year from 2012 to 2016 and another pie chart shows the percentage of commerce students.
[Pie Chart 1: Total commerce and science students = 2400. 2012: 20%, 2013: 10%, 2014: 38%, 2015: 3A%, 2016: A%]
[Pie Chart 2: Total commerce students. 2012: 25%, 2013: 14%, 2014: 30%, 2015: 15%, 2016: 16%]
Note – (i) Total students = Commerce + Science.
(ii) Commerce students in 2013 is 8 less than that in 2015.
Q46. The difference between commerce students in 2016 and science student in 2012 is what percentage of total student in 2013.
24.33
63.33
16.33
19.33
18.33
Correct answer
63.33
Directions (46-50): The pie chart given below shows the number of science and commerce student in five different year from 2012 to 2016 and another pie chart shows the percentage of commerce students.
[Pie Chart 1: Total commerce and science students = 2400. 2012: 20%, 2013: 10%, 2014: 38%, 2015: 3A%, 2016: A%]
[Pie Chart 2: Total commerce students. 2012: 25%, 2013: 14%, 2014: 30%, 2015: 15%, 2016: 16%]
Note – (i) Total students = Commerce + Science.
(ii) Commerce students in 2013 is 8 less than that in 2015.
Q47. Find the ratio of commerce student in 2016 and 2015 to total students 2015.
24:19
31:72
16:15
19:20
18:19
Correct answer
31:72
Directions (46-50): The pie chart given below shows the number of science and commerce student in five different year from 2012 to 2016 and another pie chart shows the percentage of commerce students.
[Pie Chart 1: Total commerce and science students = 2400. 2012: 20%, 2013: 10%, 2014: 38%, 2015: 3A%, 2016: A%]
[Pie Chart 2: Total commerce students. 2012: 25%, 2013: 14%, 2014: 30%, 2015: 15%, 2016: 16%]
Note – (i) Total students = Commerce + Science.
(ii) Commerce students in 2013 is 8 less than that in 2015.
Q48. Find the difference between average number of students in 2012 & 2016 and total science student in 2015.
240
320
160
120
180
Correct answer
120
Directions (46-50): The pie chart given below shows the number of science and commerce student in five different year from 2012 to 2016 and another pie chart shows the percentage of commerce students.
[Pie Chart 1: Total commerce and science students = 2400. 2012: 20%, 2013: 10%, 2014: 38%, 2015: 3A%, 2016: A%]
[Pie Chart 2: Total commerce students. 2012: 25%, 2013: 14%, 2014: 30%, 2015: 15%, 2016: 16%]
Note – (i) Total students = Commerce + Science.
(ii) Commerce students in 2013 is 8 less than that in 2015.
Q49. Total 25% of the student are from Art in 2013 and rest are from Science and Commerce. Find the total number of students in Arts, Science and Commerce.
240
320
160
190
180
Correct answer
320
Directions (46-50): The pie chart given below shows the number of science and commerce student in five different year from 2012 to 2016 and another pie chart shows the percentage of commerce students.
[Pie Chart 1: Total commerce and science students = 2400. 2012: 20%, 2013: 10%, 2014: 38%, 2015: 3A%, 2016: A%]
[Pie Chart 2: Total commerce students. 2012: 25%, 2013: 14%, 2014: 30%, 2015: 15%, 2016: 16%]
Note – (i) Total students = Commerce + Science.
(ii) Commerce students in 2013 is 8 less than that in 2015.
Q50. In 2017, the total students are 20% of total students in 2012 and students in commerce is 25% less than that in 2015. Find the science students in 2017.
4
6
1
9
8
Correct answer
6
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.