Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
In a sweet, one-third is sugar. If the price of sugar now is \(\frac{7}{6}\) of the previous price, what is the effective percentage increase in the cost of the sweet?
\(\frac{200}{9} %\)
\(\frac{100}{3} %\)
\(\frac{100}{18} %\)
\(\frac{100}{9} %\)
Correct answer
\(\frac{200}{9} %\)
If a car runs at a speed of 60 km/h and takes 180 minutes to cover a certain distance, then what time will it take to cover the same distance at a speed of 40 km/h ?
4 hr 30 min
3 hr
3 hr 15 min
3 hr 45 min
Correct answer
4 hr 30 min
The following pie chart represents the data of movies released in a city throughout a year.
The combined angle made by Jan-Mar and Jul-Sep is ____________ than the combined angle made by Apr-Jun and Oct-Dec.
40° more
80° more
80° less
40° less
Correct answer
40° more
The value of \(\frac{17}{\sec ^2 \theta}+10 \sin ^2 \theta+\frac{7}{1+\cot ^2 \theta} \) is:
34
19
17
20
Correct answer
34
Simplify
8.16 × 5.35 + 17.9 - 19.5 of \( \frac{1}{15}+\frac{1}{5} \)
60.456
70.225
57.426
65.234
Correct answer
60.456
Sumit and Rajiv, working together, can do a job in 20 hours whereas Sumit alone can do the same job in 25 hours. In how many hours can Rajiv alone do the job?
90
100
70
80
Correct answer
90
The population of a town is 15000. If the population increases by 15% in the first year, by 25% in the second year and due to pollution it decreases by 6% in the third year, what will be its population after 3 years?(Round off number in answer)
20269
25269
28269
15269
Correct answer
20269
The following pie-chart shows details of the per month expenditure of a family. Study the pie-chart carefully and answer the question that follows.
The expenditure on rent, medicines and electricity together is what percentage of the expenditure on groceries and education together?
82.22%
80.22%
70.82%
76.52%
Correct answer
82.22%
A seller marks an item for Rs. 500 and sells it at a discount of 25%. He also gives a gift worth Rs. 65. If he still makes 24% profit, then the cost price of the item (in Rs.) is:
320
270
250
280
Correct answer
320
The following table gives information of Panchayat elections held in four villages P, Q, R and S .
| Villages | Total available votes (in thousands) | Votes polled (in %) | Valid votes (in %) |
|---|---|---|---|
| P | 40 | 80 | 90 |
| Q | 50 | 90 | 80 |
| R | 60 | 75 | 80 |
| S | 80 | 80 | 85 |
Find the ratio of invalid votes of village P to that of village S.
1 ∶ 3
2 ∶ 3
1 ∶ 2
3 ∶ 4
Correct answer
1 ∶ 3
The length of a side of an equilateral triangle is 18 cm. The area (in cm2) of the region lying between the circumcircle and the incircle of the triangle is [use \(\pi=\frac{22}{7}\)]
\(254 \frac{4}{7}\)
\(254 \frac{3}{7}\)
\(254 \frac{2}{7}\)
\(254 \frac{1}{7}\)
Correct answer
\(254 \frac{4}{7}\)
A scalene triangle ABC has two sides whose measures are 3.8 cm and 6 cm, respectively. Which of the following CANNOT be the measure (in cm) of its third side?
3.0
2.4
2.7
2.2
Correct answer
3.0
Two trains, P and Q, are running on parallel tracks in opposite directions with lengths of 110 m and 140 m, respectively. Train P is running at a speed of 70 km/h and took 5 seconds to cross train Q. The speed of train Q is:
100 km/h
120 km/h
110 km/h
90 km/h
Correct answer
100 km/h
The table below shows the number of mobile phones that were sold by the show rooms in the years from 2016-2020.
| Years/showroom | P | Q | R | S | T | U |
|---|---|---|---|---|---|---|
| 2016 | 220 | 230 | 250 | 280 | 240 | 260 |
| 2017 | 310 | 300 | 320 | 340 | 330 | 350 |
| 2018 | 400 | 380 | 410 | 420 | 440 | 430 |
| 2019 | 450 | 350 | 380 | 420 | 410 | 430 |
| 2020 | 420 | 430 | 410 | 440 | 400 | 420 |
What will be the average number of mobile phones sold by all the show rooms in the year 2020 ?
410
405
420
415
Correct answer
410
Simplify 45 ÷ 5 × 5 + 10 - 5.
60
30
50
40
Correct answer
60
The area of a circle is 256π square cm. The length of its longest chord (in cm) is:
32
36
34
16
Correct answer
32
Simplify the given expression.
\(\frac{53-\frac{2}{7} \text { of } 63-9}{72-\frac{2}{5} \text { of }(96-31)}\)
\(\frac{13}{23}\)
\(\frac{7}{23}\)
\(\frac{11}{23}\)
\(\frac{26}{23}\)
Correct answer
\(\frac{13}{23}\)
If \(a=(\sqrt{2}-1)^{\frac{1}{3}}\), then the value of \(\left(a-\frac{1}{a}\right)^3+3\left(a-\frac{1}{a}\right)\) is:
√2
2
-2
-√2
Correct answer
√2
The value of 15 - 16 ÷ [4 + (5 + 7) ÷ 3] is equal to:
11
18
17
13
Correct answer
11
The quantity of milk in a mixture of milk and water is \(\frac{4}{5}\) of the volume of the mixture. After adding 1 liter of milk to 5 liters of the mixture, the percentage of water in the mixture is:
\(\frac{200}{6} %\)
15%
\(\frac{100}{6} %\)
17.5%
Correct answer
\(\frac{200}{6} %\)
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.