Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
What is the value of ‘a’ in the below equation?
{(5 × 5 × 5 × 5 × 5 × 5)5 × (5 × 5 × 5 × 5 × 5)8} ÷ (5 × 5) = (625)a
14
17
16
15
Correct answer
14
A policeman sees a thief at a distance of 150 m. He starts chasing the thief who is running at a speed of 5 m/sec, while the policeman chases with a speed of 7m/sec. Find the distance covered by the thief when he is caught by the policeman.
285 m
325 m
375 m
295 m
Correct answer
285 m
Bhavani spent 15% of her monthly income on kid’s education and 20% on food. 40% of the remaining she spent on sports and 30% on transport. She is left with an amount of Rs. 10,257 after all these expenditures. What is Bhavani’s monthly income?
Rs. 45,800
Rs. 48,000
Rs. 52,600
Rs. 81,965
Correct answer
Rs. 45,800
The number of persons raise by 20% to 30,942 in a year. What was the population originally a year ago?
25585
25785
25758
23785
Correct answer
25585
If two tangents to a circle of radius 3 cm are inclined to each other at angle of 60°, then the length of each tangent is:
\(\rm \frac{3\sqrt3}{4} \ cm \)
3√3 cm
3 cm
6 cm
Correct answer
\(\rm \frac{3\sqrt3}{4} \ cm \)
A hemispherical bowl whose radius is 21 cm is full of ice cream. Find the volume of the ice cream. (take π = \(\frac{22}{7}\))
20000 cm3
21000 cm3
22000 cm3
19404 cm3
Correct answer
20000 cm3
If a + b + c = 10 and a2 + b2 + c2 = 48, then the value of ab + bc + ca is _______.
25
26
24
18
Correct answer
25
The ratio of two numbers is 4 : 5, and their HCF is 3. What is their LCM?
48
80
60
36
Correct answer
48
Find the difference between the simple interest and the compound interest payable annually on a sum of Rs. 6,500 at 7% per annum for 3 years. (Correct to two decimal places.)
Rs. 94.34
Rs. 97.78
Rs. 98.73
Rs. 95.67
Correct answer
Rs. 94.34
Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/h. Find the volume of water flowing through the canal in 30 minutes. (take π = \(\frac{22}{7}\))
3,76,500 m3
3,56,500 m3
3,66,500 m3
3,46,500 m3
Correct answer
3,76,500 m3
A tradesman marks his goods at 26% above the cost price. He allows his customer a discount of 12% on the marked price. His profit per cent is:
10.88%
11.08%
10.50%
10%
Correct answer
10.88%
If \(a-\frac{1}{a-5}=10\), then the value of \((a-5)^3-\frac{1}{(a-5)^3}\) is:
140
70
100
120
Correct answer
140
The following table shows the number of students of seven colleges participating in extra co-curricular activities.
Read the table and answer the question given.
| College → Extra Co-curricular Activities ↓ | A | B | C | D | E | F | G |
|---|---|---|---|---|---|---|---|
| I | 150 | 250 | 450 | 50 | 350 | 250 | 150 |
| II | 50 | 150 | 150 | 50 | 50 | 50 | 50 |
| III | 100 | 50 | 400 | 125 | 100 | 500 | 150 |
| IV | 250 | 125 | 350 | 275 | 250 | 150 | 150 |
Percentage of the number of students in activity II to that of IV is: (consider up to two decimals)
45.48 percent
35.48 percent
34.25 percent
39.18 percent
Correct answer
45.48 percent
There are three papers in an examination. Marks obtained by four students have been tabulated below:
Who are the students who got the highest marks in P1, P2 and P3 respectively?
| Student | P1 | P2 | P3 |
|---|---|---|---|
| Mohit | 79 | 78 | 77 |
| Shivam | 73 | 87 | 80 |
| Vishal | 82 | 74 | 83 |
| Viraj | 77 | 89 | 86 |
Viraj, Vishal, Mohit
Vishal, Viraj, Viraj
Shivam, Viraj, Vishal
Mohit, Viraj, Vishal
Correct answer
Viraj, Vishal, Mohit
The bar graph given here shows the data of the production of cars by three different companies X, Y, Z over the years.
The average production for 5 years was maximum for which company/companies?
Y and Z
Y
X and Y
X and Z
Correct answer
Y and Z
Find the perimeter of major sector of a circle of radius 12 metres, whose minor sector subtends an angle of 75° at the centre.
24 + 5π metres
24 + 19π metres
24 - 5π metres
24 - 19π metres
Correct answer
24 + 5π metres
A mixer marked at Rs. 2,300 is sold for Rs. 2,024. What is the percentage of discount?
13%
10%
12%
11%
Correct answer
13%
Determine the total surface area of a hemisphere closed at bottom. Radius of the hemisphere is \(\sqrt{\frac{25}{\pi}}\) unit.
75 unit2
70 unit2
60 unit2
50 unit2
Correct answer
75 unit2
A seller uses faulty weight in place of a 2 kg weight and earns a 25% profit. He claims that he is selling on the cost price in front of the customers but uses a faulty weight. How much error is there in the 2 kg weight to gain 25%?
250 g
400 g
500 g
300 g
Correct answer
250 g
If A is greater than B by 7, B is greater than C by 16, and A + B + C is 255, then the value of 3A + C - 4B is:
5
10
8
4
Correct answer
5
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.