Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Radha's present age is 6/5 times her age at the time of her marriage. She got married 8 years ago. If Radha's sister was 10 younger than her at the time of marriage. Find the present age of Radha's sister.
35 years
32 years
36 years
38 years
40 years
Correct answer
35 years
There are three colleges in a city. The number of students in first two colleges are 36% and 44% of the third college. The student reading first college is what percent of total students in all three college.
30%
36%
20%
25%
None of these
Correct answer
30%
The ratio of spirit and alcohol in two mixtures of 5 litres and 3 litres is 2 : 3 and 1 : 2 respectively. If both the mixtures are mixed in the third vessel then what is the ratio of spirit and alcohol in the third vessel?
3 : 2
8 : 7
3 ∶ 5
7 : 8
4 : 3
Correct answer
3 : 2
The heights of a cone, a cylinder, and a hemisphere are equal. The radii of these figures are in the ratio 4: 5:
16 : 5 : 3
16 : 75 : 2
17 : 25 : 54
16 : 25 : 53
16 : 25 : 1
Correct answer
16 : 5 : 3
P, Q, and R put their money into a 9 ∶ 7 ∶ 8 ratio. After 7 months, P invested the same amount as before, Q and R withdraw 3/7th and 3/8th of the initial investment, respectively. If the total profit at the end of the year is Rs. 20,200. What is R's share?
Rs. 3250
Rs. 3580
Rs. 2470
Rs. 5400
Rs. 2530
Correct answer
Rs. 3250
Directions: Study the following information carefully and answer the questions.
The line graph below shows the number of male and female visitors to a village over five months, from January to May.
What is the average number of visitors (male and female) who visited the village in the month of February?
425
500
525
550
450
Correct answer
425
Directions: Study the following information carefully and answer the questions.
The line graph below shows the number of male and female visitors to a village over five months, from January to May.
Which month had the highest number of total visitors?
May
January
April
March
February
Correct answer
May
Directions: Study the following information carefully and answer the questions.
The line graph below shows the number of male and female visitors to a village over five months, from January to May.
The number of male visitors in January is what percentage of the number of female visitors in May?
140%
110%
120%
155%
80%
Correct answer
140%
Directions: Study the following information carefully and answer the questions.
The line graph below shows the number of male and female visitors to a village over five months, from January to May.
If the number of male visitors in April and May increased by 10% and the number of female visitors in April and May decreased by 15% due to an online campaign, what would be the total number of visitors in those two months?
1780
1890
1670
1560
1450
Correct answer
1780
Directions: Study the following information carefully and answer the questions.
The line graph below shows the number of male and female visitors to a village over five months, from January to May.
What is the ratio of the total number of male visitors from January to March to the total number of female visitors in April and May?
37:16
29:21
23:19
35:17
None of these
Correct answer
37:16
A shopkeeper sells an item for ₹1000, making a profit of 25%. The marked price of the item is ₹600 more than its cost price. What was the discount given on the item?
₹400
₹600
₹800
₹550
₹750
Correct answer
₹400
A boat travels 70 km upstream in 5 hours. The speed of the boat in still water is 16 km/hr. If the speed of the stream is increased by 2 km/hr, in how much time will the boat cover 60 km distance upstream?
5 hours
6 hours
7 hours
8 hours
None of these
Correct answer
5 hours
Perimeter of a rectangle is equal to the perimeter of a square. The side of the square is 12 cm. The length of the rectangle is 4 cm more than its breadth. Find the length of the rectangle.
10 cm
12 cm
14 cm
16 cm
None of these
Correct answer
10 cm
A and B start a business by investing Rs. 4,000 and Rs. 6,000, respectively. After 8 months, B withdraws 40% of his investment. At the end of the year, if the total profit is Rs. 4,600, what is the share of A in the profit?
Rs. 2000
Rs. 2400
Rs. 2600
Rs. 2800
None of these
Correct answer
Rs. 2000
A principal of ₹12,000 earns a simple interest of ₹2,400 at a rate of 8% per annum for the time period of t years. Another principal of ₹15,000 is invested for 5 years at a rate of (t + 4)% per annum simple interest. Find the simple interest earned.
₹5,250
₹6,750
₹3,675
₹8,250
₹4,875
Correct answer
₹5,250
A vehicle travels a total distance of T km. It covers 180 km at 60 km/h and the remaining distance at 40 km/h. If the average speed for the entire journey is 50 km/h, find T.
300 km
400 km
360 km
420 km
480 km
Correct answer
300 km
A and B together can complete a project in 15/2 days. A alone can complete the same project in 12 days. B started working alone for d days, and then A and B together finished the remaining work in 6 days. Find the value of d.
2 days
3 days
4 days
5 days
6 days
Correct answer
2 days
Directions: Study the following information carefully and answer the questions.
The table below shows the number of units of two products, X and Y, sold by five different sales representatives, A to E.
| Sales Representative | Product X (units sold) | Product Y (units sold) |
|---|---|---|
| A | 75 | 88 |
| B | 92 | 79 |
| C | 68 | 95 |
| D | 81 | 72 |
| E | 90 | 65 |
What is the average number of units of Product Y sold by A and D?
100
140
70
80
90
Correct answer
100
Directions: Study the following information carefully and answer the questions.
The table below shows the number of units of two products, X and Y, sold by five different sales representatives, A to E.
| Sales Representative | Product X (units sold) | Product Y (units sold) |
|---|---|---|
| A | 75 | 88 |
| B | 92 | 79 |
| C | 68 | 95 |
| D | 81 | 72 |
| E | 90 | 65 |
If the revenue from Product X is $25 per unit and from Product Y is $30 per unit, what is the total revenue generated by A?
$4515$
$4250$
$4405$
$4215$
None of these
Correct answer
$4515$
Directions: Study the following information carefully and answer the questions.
The table below shows the number of units of two products, X and Y, sold by five different sales representatives, A to E.
| Sales Representative | Product X (units sold) | Product Y (units sold) |
|---|---|---|
| A | 75 | 88 |
| B | 92 | 79 |
| C | 68 | 95 |
| D | 81 | 72 |
| E | 90 | 65 |
Find the difference between the total units of Product X and Product Y sold across all five representatives.
4
7
11
9
6
Correct answer
4
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.