Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A sum of Rs. X is distributed among P, Q, R and S. P received Rs. 2000 and the amount received by P is 40% of that by S. The ratio of amount received by R and S is 1: 4 and Q received 60% of the amount received by R. Find the value of X.
Rs. 8000
Rs. 10000
Rs. 11000
Rs. 9000
Rs. 7000
Correct answer
Rs. 8000
Ratio of ages of A and B before 6 years was 2: 3 then ratio of age of A and B after 10 years becomes 3:4. If the age of C is 1.5 times the present age of B, then find the age of C 11 years ago. Present age of A and B is to be taken as a and b respectively.
(2a - b)
(2b - a)
(2a + b)
(2b + a)
None of these
Correct answer
(2a - b)
What should come in place of question mark (?) in the following questions?
750 + 24.5 × 2 + 1 – (10 % of 500 ÷ 5 × 2 ) of 5 + √16 = ?
750
780
804
724
704
Correct answer
750
Find the approximate value of ‘?’ in the following question.
\(64.14 \times \frac{9}{8}{\rm{;of;}}500{\rm{% }} - 71.92{\rm{;of;}}\frac{7}{{9{\rm{;}}}} \times 400{\rm{% }} = {\rm{;}}?\)
136
126
146
132
None of these
Correct answer
136
What value should come in place of question mark (?) in the following question?
\(\sqrt[3]{{19683}} + \sqrt[2]{{9604}}; - ;\sqrt[3]{{3375}} = ;? - \left( {3\frac{1}{3}% ;of;2070} \right)\)
159
169
179
149
189
Correct answer
159
What should come in place of question mark (?) in the following questions?
65 % of 3400 + 4096 ÷ 32 × 2 = 12.5 % of 512 + ?
2502
2872
2252
2402
None of these
Correct answer
2502
Sum of 4 consecutive even numbers is (P + 12) and there are 4 consecutive odd numbers in which 2nd highest number is 39 more than the 2nd lowest even number in the previous series. Sum of the Highest number of both series is 105. Find the value of P.
124
112
122
116
118
Correct answer
124
In the question, two quantities (I) and (II) are given. You have to solve both quantities to establish the correct relation between Quantity (I) and Quantity (II) and choose the correct option.
Quantity (I): A path of uniform width of 6 meters is to be made around a square park. If the area of the path is 1224 m2 then find the perimeter of the park.
Quantity (II): From a pizza in the shape of a circle of radius 28 meters a slice making an angle of 90° at the center is taken out. Find the perimeter of the remaining pizza.
Quantity (I) > Quantity (II)
Quantity (I) < Quantity (II)
Quantity (I) = Quantity (II)
Quantity (I) ≥ Quantity (II)
Quantity (I) ≤ Quantity (II)
Correct answer
Quantity (I) > Quantity (II)
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option.
Quantity A: Three mixtures of milk and water in the ratio of 2 : 1 : 4 are mixed. The percentage of water in the three mixtures is 30%, 45%, and 25% respectively. Find the ratio between milk and water in the resultant mixture of three mixtures.
Quantity B: A invests Rs.500 and B invests Rs. M into a partnership for a year. After 8 months, A added Rs.200 to his investment, and B removes Rs.100 from his investment. If the difference between the profit shares of B and A after a year is Rs. 720 and the total profit of Rs.3440, then find the ratio between the initial investment of A and B.
Quantity A ≥ Quantity B
Quantity A ≤ Quantity B
Quantity A < Quantity B
Quantity A > Quantity B
Quantity A = Quantity B or No relation
Correct answer
Quantity A ≥ Quantity B
In a class there is (x + 10) number of students whose average weight is 40 kg. If y more students having an average weight is 48 kg is added, then the average weight of the class is increased by 2. If (y + 5) students having an average weight of 44 kg is added then the average weight of the class is increased by 1.6. Find the value of 2 (x + y)?
28
10
24
20
16
Correct answer
28
Efficiency of A is 33.33% more than sum of efficiency of B and C and efficiency of C is 83.33% less than sum of efficiency of A and B together. If A and C together can complete 75% of work in 12 days than find in how many days B can complete 120% of total work
60 days
48 days
36 days
45 days
54 days
Correct answer
60 days
Read the data carefully and answer the following questions.
There are two colleges Amber and Dhara that offer two courses (Traditional and Professional) in a city in 3 different years 2019, 2020 and 2021.
The Table below shows the data about the number of students who opted for these courses in 2 colleges.
| Years | Number of students in Amber and Dhara colleges opted for both the courses | Number of students in Amber colleges opted for traditional courses | Number of students in Amber colleges opted for professional courses | Number of students in Dhara colleges opted for traditional courses | Number of students in Dhara colleges opted for professional courses | Number of students in Dhara college opted for both the courses |
|---|---|---|---|---|---|---|
| 2019 | 150 | —- | 2P | —- | 4P | 70 |
| 2020 | 200 | —- | 2P | —- | —- | 80 |
| 2021 | 321 | —- | 3P | —- | —- | 99 |
Note:
48, 44, and 54 students opted for professional courses at Dhara College in 2019, 2020, and 2021, respectively.
Find the ratio between the total number of students who opted both the courses in Amber college in 2019 and total number of students who opted both the courses in 2020 in Dhara college.
1: 1
1: 3
2: 1
3: 1
2: 3
Correct answer
1: 1
Read the data carefully and answer the following questions.
There are two colleges Amber and Dhara that offer two courses (Traditional and Professional) in a city in 3 different years 2019, 2020 and 2021.
The Table below shows the data about the number of students who opted for these courses in 2 colleges.
| Years | Number of students in Amber and Dhara colleges opted for both the courses | Number of students in Amber colleges opted for traditional courses | Number of students in Amber colleges opted for professional courses | Number of students in Dhara colleges opted for traditional courses | Number of students in Dhara colleges opted for professional courses | Number of students in Dhara college opted for both the courses |
|---|---|---|---|---|---|---|
| 2019 | 150 | —- | 2P | —- | 4P | 70 |
| 2020 | 200 | —- | 2P | —- | —- | 80 |
| 2021 | 321 | —- | 3P | —- | —- | 99 |
Note:
48, 44, and 54 students opted for professional courses at Dhara College in 2019, 2020, and 2021, respectively.
Number of students who opted professional courses in Dhara college in 2022 is 25% more than the number of students who opted professional courses in Dhara college in 2019.Total number of students opted both the courses in 2022 is 130. Find the number of students who opted traditional courses in Dhara college in 2022.
80
70
75
85
90
Correct answer
80
Read the data carefully and answer the following questions.
There are two colleges Amber and Dhara that offer two courses (Traditional and Professional) in a city in 3 different years 2019, 2020 and 2021.
The Table below shows the data about the number of students who opted for these courses in 2 colleges.
| Years | Number of students in Amber and Dhara colleges opted for both the courses | Number of students in Amber colleges opted for traditional courses | Number of students in Amber colleges opted for professional courses | Number of students in Dhara colleges opted for traditional courses | Number of students in Dhara colleges opted for professional courses | Number of students in Dhara college opted for both the courses |
|---|---|---|---|---|---|---|
| 2019 | 150 | —- | 2P | —- | 4P | 70 |
| 2020 | 200 | —- | 2P | —- | —- | 80 |
| 2021 | 321 | —- | 3P | —- | —- | 99 |
Note:
48, 44, and 54 students opted for professional courses at Dhara College in 2019, 2020, and 2021, respectively.
If 3/8 of number of students opted for traditional courses from Amber college in 2019 are females and remaining are males and 1/3rd of students opted traditional courses from Amber college in 2021 are females and remaining are males.Find the total number of males opted traditional courses from Amber college in 2019 and 2021.
161
171
178
159
179
Correct answer
161
Read the data carefully and answer the following questions.
There are two colleges Amber and Dhara that offer two courses (Traditional and Professional) in a city in 3 different years 2019, 2020 and 2021.
The Table below shows the data about the number of students who opted for these courses in 2 colleges.
| Years | Number of students in Amber and Dhara colleges opted for both the courses | Number of students in Amber colleges opted for traditional courses | Number of students in Amber colleges opted for professional courses | Number of students in Dhara colleges opted for traditional courses | Number of students in Dhara colleges opted for professional courses | Number of students in Dhara college opted for both the courses |
|---|---|---|---|---|---|---|
| 2019 | 150 | —- | 2P | —- | 4P | 70 |
| 2020 | 200 | —- | 2P | —- | —- | 80 |
| 2021 | 321 | —- | 3P | —- | —- | 99 |
Note:
48, 44, and 54 students opted for professional courses at Dhara College in 2019, 2020, and 2021, respectively.
If the difference between number of students opted for traditional and professional courses from Amber college in 2021 is x and sum of the number of students opted for professional course from Dhara college in 2019 and 2020 together is y then find the sum of the values of x and y.
272
232
246
242
254
Correct answer
272
Read the data carefully and answer the following questions.
There are two colleges Amber and Dhara that offer two courses (Traditional and Professional) in a city in 3 different years 2019, 2020 and 2021.
The Table below shows the data about the number of students who opted for these courses in 2 colleges.
| Years | Number of students in Amber and Dhara colleges opted for both the courses | Number of students in Amber colleges opted for traditional courses | Number of students in Amber colleges opted for professional courses | Number of students in Dhara colleges opted for traditional courses | Number of students in Dhara colleges opted for professional courses | Number of students in Dhara college opted for both the courses |
|---|---|---|---|---|---|---|
| 2019 | 150 | —- | 2P | —- | 4P | 70 |
| 2020 | 200 | —- | 2P | —- | —- | 80 |
| 2021 | 321 | —- | 3P | —- | —- | 99 |
Note:
48, 44, and 54 students opted for professional courses at Dhara College in 2019, 2020, and 2021, respectively.
Find the difference between the number of students who opted for a traditional course from Amber college in 2021 and the number of students who opted for a professional course from Dhara college in 2019.
5.5P - 48
7.5P +48
12.5P - 10
12P - 11
10P + 24
Correct answer
5.5P - 48
Mohan deposit certain amount in bank saving account for 6 year which give simple interest of x% annually and invest same principle in fix deposit for 2 year which gives interest rate 10% and compounded annually, total interest he get from saving account to fix deposit in the ratio of 6 : 7, if bank provide (x + 3)% rate annually on saving account deposit, then difference of interest arise Rs.7,500 between saving account and fix deposit after respective time period, what amount he invest in fix deposit?
Rs.40,000
Rs.1,00,000
Rs.70,000
Rs.60,000
Rs.50,000
Correct answer
Rs.40,000
The question consists of two statements numbered “I” and “II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option accordingly.
There are two articles 'P' and 'Q'. The selling price of article 'Q' is Rs.240 more than that of article 'P'. Find the selling price of article 'P'?
Statement I: Article 'P' is marked up by 20% above its cost price and the discount offered on article 'Q' is Rs.390.
Statement II: Article 'Q' is marked up by Rs.90 above its cost price and the discount offered on article 'P' is Rs.540.
The data in statement I alone is sufficient to answer, while the data in statement II alone is not sufficient to answer the question.
The data in statement II alone is sufficient to answer, while the data in statement I alone is not sufficient to answer the question.
The data either in statement I alone or in statement II alone are sufficient to answer the question.
The data given in both statements I and II together are not sufficient to answer the question.
The data in both statements I and II together are necessary to answer the question.
Correct answer
The data in statement I alone is sufficient to answer, while the data in statement II alone is not sufficient to answer the question.
The question consists of two statements numbered “I” and “II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option accordingly.
The average weight of 'N' students in a class is 'A' kg. Find the value of 'N'?
Statement I: When a student having a weight of 35 kg is added then the average weight of the class is increased by 4 kg.
Statement II: When two students weighing 33 kg each are added then the average weight of the class is increased by 2 kg.
The data in statement I alone is sufficient to answer, while the data in statement II alone is not sufficient to answer the question.
The data in statement II alone is sufficient to answer, while the data in statement I alone is not sufficient to answer the question.
The data either in statement I alone or in statement II alone are sufficient to answer the question.
The data given in both statements I and II together are not sufficient to answer the question.
The data in both statements I and II together are necessary to answer the question.
Correct answer
The data in statement I alone is sufficient to answer, while the data in statement II alone is not sufficient to answer the question.
A and B start a business. Sum invested by B is half of that invested by A. Nine months after the start of the business, B completely withdraws from the business and C joins the business with Rs. 9000. If the total annual profit earned was Rs. 27000 and C earned Rs. 5000 as his share from the profit, what was A's initial investment?
Rs. 8000
Rs. 9000
Rs. 6000
Rs. 4000
Other than those given as options
Correct answer
Rs. 8000
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.