Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The number of balls, each one is 4 cm in the diameter that can be made from a solid metallic sphere of diameter 32 cm is:
256
64
512
1024
Correct answer
256
The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the centres (in cm) is:
16 cm
14 cm
18 cm
12 cm
Correct answer
16 cm
A fast local of Mumbai takes 45 minutes less than a slow local for a journey of 150 km. If the speed of the fast local is 10 km/h more than that of the slow local, find the speed (in km/h) of the slow local train.
30
35
45
40
Correct answer
30
The following table represents the number of scooters sold by 5 stores in 4 different months in the year 2022.
| Stores → | A | B | C | D | E |
|---|---|---|---|---|---|
| Months ↓ | |||||
| January | 212 | 168 | 173 | 182 | 190 |
| February | 312 | 250 | 212 | 175 | 182 |
| March | 280 | 275 | 265 | 255 | 245 |
| April | 270 | 280 | 290 | 305 | 275 |
Find the ratio between the total number of scooters sold by stores A and B together in January and the total number of scooters sold by stores D and E together in March?
20 ∶ 23
18 ∶ 23
17 ∶ 25
19 ∶ 25
Correct answer
20 ∶ 23
If the sum of two numbers is 60 and their HCF and LCM are 5 and 60, respectively, then the sum of the reciprocals of the numbers will be:
\(\frac{1}{11}\)
\(\frac{1}{6}\)
\(\frac{1}{4}\)
\(\frac{1}{5}\)
Correct answer
\(\frac{1}{11}\)
What is the average of the first six prime numbers?
\(6\frac{1}{3}\)
\(6\frac{5}{6}\)
\(6\frac{2}{3}\)
\(6\frac{1}{6}\)
Correct answer
\(6\frac{1}{3}\)
A shopkeeper marks the price of an article at Rs 15,000, and offers three successive discounts of 5%, 10% and 20% on it. What is the selling price?
Rs. 10,260
Rs. 13,520
Rs. 11,520
Rs. 9,850
Correct answer
Rs. 10,260
Study the given bar graph carefully and answer the question that follows. Increment of four employees (in Rs.) in the months of May, June and July.
What is Kamal’s overall average increment in three months?
Rs. 60
Rs. 70
Rs. 75
Rs. 65
Correct answer
Rs. 60
ΔPQR is right angled at Q such that PQ = (x - y), QR = x and PR = (x + y). S is a point on QR such that QS = PQ. The ratio QS∶SR for any values of x and y is:
3 ∶ 1
2 ∶ 1
1 ∶ 2
1 ∶ 3
Correct answer
3 ∶ 1
Which of the following is the greatest four-digit number that is divisible by 15, 25, 40, and 75?
9200
9500
9600
9000
Correct answer
9200
Simplify the given expression.
b + 2a - [(3b + a) - (2a + b) + 2a] - a
− a
b
a
Correct answer
− a
The value of a washing machine depreciated from Rs. 40,960 to Rs. 21,970 in 3 years. Find the yearly rate of depreciation.
25%
16.25%
18.75%
20%
Correct answer
25%
The HCF and LCM of two numbers are 9 and 126, respectively. Find the larger number, if the ratio between the numbers is 2 ∶ 7.
42
63
77
21
Correct answer
42
If 30% of Ravi’s income is equal to 40% of Suresh’s income, then 50% of Ravi’s income is equal to what percentage of Suresh’s income?
\(66\frac{1}{3}\)%
\(33\frac{1}{3}\)%
\(33\frac{2}{3}\)%
\(66\frac{2}{3}\)%
Correct answer
\(66\frac{1}{3}\)%
Study the given table and answer the question that follows.
The table shows the number of employees in three organisations during three years.
| Year | 2018 | 2019 | 2020 |
|---|---|---|---|
| Organization | |||
| P | 75 | 69 | 85 |
| Q | 96 | 81 | 74 |
| R | 85 | 63 | 90 |
What is the respective ratio between total number of employees in organisations P and R together in 2019 and total number of employees in organisations Q and R together in 2020?
23 ∶ 41
33 ∶ 41
41 ∶ 31
33 ∶ 23
Correct answer
23 ∶ 41
If sin θ + cos θ = √2cos θ, then find \( \frac{\sin \theta-\cos \theta}{\sin \theta} \text { : }\)
- √ 2
1
√ 2
Correct answer
- √ 2
In a school of 720 students, the ratio of boys to girls is 3 ∶ 5. Find how many new boys may be allowed to the school if 18 new girls are admitted, so that the ratio of boys to girls changes to 2 ∶ 3.
42
44
50
38
Correct answer
42
Study the given table and answer the question that follows.
The table shows the number of students in various courses in various cities A, B, C, D and E in India during the academic year 2022-2023.
| City | MBA | Science | Engineering | Medicine | MCA | Total |
|---|---|---|---|---|---|---|
| A | 1200 | 2560 | 4520 | 1100 | 960 | 10340 |
| B | 1350 | 2650 | 5100 | 1050 | 850 | 11000 |
| C | 1250 | 2640 | 4580 | 1120 | 750 | 10340 |
| D | 1960 | 1250 | 3500 | 1850 | 1600 | 10160 |
| E | 1200 | 2100 | 3500 | 960 | 540 | 8300 |
During the academic year 2022-2023, which city had the largest number of students?
C
D
A
B
Correct answer
C
A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively. How soon can the work be done if A works with B on first day, A works with C on second day and so on?
\(8\frac{1}{2}\) days
\(9\frac{1}{2}\) days
8 days
9 days
Correct answer
\(8\frac{1}{2}\) days
If the slant height of a cone is 29 cm and its height is 20 cm, find the ratio between the magnitudes of total surface area and the volume.
5 ∶ 14
7 ∶ 15
3 ∶ 7
3 ∶ 14
Correct answer
5 ∶ 14
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.