Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If x – y = 25 and xy = 444, compute the value of x3 – y3 .
28,495
48,925
42,985
26,725
Correct answer
28,495
A dishonest dealer professes to sell his goods at cost price but uses a false weight of 950 grams instead of 1 kilogram. His gain percentage is:
6\(\frac{5}{19}\)%
7\(\frac{5}{19}\)%
4\(\frac{5}{19}\)%
5\(\frac{5}{19}\)%
Correct answer
6\(\frac{5}{19}\)%
Ronak and Riya can do a work in 12 and 18 days, respectively. They worked together for six days and then Ronak left. Find the time taken by Riya to complete the remaining work.
3 days
5 days
6 days
7 days
Correct answer
3 days
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 | 1960 | 1540 | 10300 |
| Total | 6960 | 11200 | 21200 | 7080 | 5700 |
In city A, the number of students in Medicine is nearly what percentage of MBA?
87%
85%
92%
89%
Correct answer
87%
Applied to a bill for ₹1000, what is the difference between a discount of 40% and two successive discounts of 36% and 4%?
₹154
₹144
₹14.40
₹15.40
Correct answer
₹154
Aman travels 1200 km by train at 80 km/h, 1600 km by ship at 40 km/h, 1000 km by plane at 400 km/h, and 200 km by car at 50 km/h. What is the average speed for the entire distance? (rounded off to 2 decimal places)
65.04 km/h
72.40 km/h
68.14 km/h
75.40 km/h
Correct answer
65.04 km/h
The distance (d) a moving body travels, varies directly with the time (t) when it moves. A train travels 72 km in 2 hours. Find the equation that relates d and t.
d=(t)/(36)
d = t - 36
d = t + 36
d = 36t
Correct answer
d=(t)/(36)
Ramnarayan's salary was reduced by 3\(\frac{1}{8}\) %. and then, the reduced salary was increased by 7\(\frac{2}{5}\) %. By what percentage (rounded off to two decimal places) is his new salary more/less as compared to his original salary?
4.04% less
4.04% more
3.03% less
3.03% more
Correct answer
4.04% less
A hollow sphere of external and internal diameters of 10 cm and 6 cm, respectively, is melted and made into another solid in the shape of a right circular cone of base diameter 10 cm. Find the height of the cone.
13.68 cm
16.68 cm
14.68 cm
15.68 cm
Correct answer
13.68 cm
What is the length (in cm) of chord PQ in a circle with a radius of 7 cm, where a diameter AB and non-diameter chord PQ intersect perpendicularly at point C, and the ratio of AC to BC is 4:3?
6√3
2√3
4√3
8√3
Correct answer
6√3
The simple interest on a certain sum for 4 years at 14% per annum is Rs. 6,160 less than the simple interest on the same sum at the same rate for 8 years. Find the sum.
Rs. 9,000
Rs. 12,000
Rs. 11,000
Rs. 10,000
Correct answer
Rs. 9,000
Simplify the following.
\( \frac{2\left{3+3\left(\frac{1}{4} \div \frac{15}{20}+2\right)-18 \times \frac{1}{3}\right}}{2(4+20 \div 4)} \)
\(\frac{7}{18}\)
\(\frac{11}{18}\)
\(\frac{4}{9}\)
\(\frac{5}{9}\)
Correct answer
\(\frac{7}{18}\)
Simplify the following expression.
(4.2 of 2.5 ÷ 3.5) − (3.6 ÷ 2.4 + 2.5 of 3 ÷ 7.5) + (6 − 3 of 2 + 4 of 3 ÷ 6)
4.5
3.5
1.5
2.5
Correct answer
4.5
If 56 ÷ 4 + p × 3 – 24 ÷ 12 + 4 = 21 ÷ 3 + 3, then the value of p is:
2
1
-1
-2
Correct answer
2
Find the value of \(\frac{3 \div 3 \times 2-6 \div 3+7}{5 \div 5 \times 6 \div 6+3+3}\).
1
\(\frac{6}{7}\)
\(\frac{8}{7}\)
2
Correct answer
1
Tarun is twice as good as Tripti in doing a work. Together, they can complete the work in 16 days. In how many days can Tripti alone complete the same work?
48
24
50
25
Correct answer
48
A shopkeeper kept the marked price of an item at Rs. 500. He sold it at a scheme discount of 10% and 20% and got a profit of 25%. What was the cost price of the item?
Rs. 188
Rs. 482
Rs. 288
Rs. 384
Correct answer
Rs. 188
If A, B and C are the interior angles of ΔABC, then what is the value of \({\tan \frac{{A}}{2}+\operatorname{cosec} \frac{B+C}{2}} \)({\tan \frac{{A}}{2}-\operatorname{cosec} \frac{B+C}{2}} \) ?
-1
2
-2
1
Correct answer
-1
Simplify
13.5 - [5 + 0.5 × (9 - 3 × 2)]
5
7
6
8
Correct answer
5
The volume of a right circular cone is 150π cm3 and its height is 18 cm. Find its slant height (in cm) (correct to 2 decimal places).
28.68
25.35
15.25
18.68
Correct answer
28.68
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.