Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
What is the value of the following in terms of trigonometric ratios?
\(\frac{sinA}{1+cosA}+\frac{1+cosA}{sinA}\)
2 cosec A
2 cos A
2 sec A
2 sin A
Correct answer
2 cosec A
The area of a circle is 1386 cm2. What is the radius of the circle?
[Use π = 22/7]
7 cm
14 cm
18 cm
21 cm
Correct answer
7 cm
The price of a bat and a ball are in the ratio 9 : 5. The price of the bat is Rs. 380 more than the price of the ball. Find the price of the ball.
Rs. 470
Rs. 485
Rs. 475
Rs. 480
Correct answer
Rs. 470
Find the HCF of 364 and 724.
4
2
6
364
Correct answer
4
Three metallic spheres of radii 10 cm, 8 cm and 6 cm, respectively, are melted to form a single solid cone of radius 12 cm. Find the curved surface area of the cone, correct to two places of decimal.
(Take π = 3.14)
1664.50 cm2
1669.86 cm2
1876.79 cm2
1864.41 cm2
Correct answer
1664.50 cm2
The price of an article is first increased by 25% and later on, the price was decreased by 30% due to a reduction in sales. Find the net percentage change in the final price of the article.
11.5% increased
14% decreased
13% increased
12.5% decreased
Correct answer
11.5% increased
In a journey of three unequal laps, a car covers a distance of 200 km in 4 h in the first lap, while another 162 km at the speed of 15 m/s in the second lap. It covered the remaining distance of the final lap in 4 h such that the average speed of the car for entire journey was 50 km/h. What was the speed of the car in the third lap of the journey?
47 km/h
52 km/h
42 km/h
45 km/h
Correct answer
47 km/h
A shopkeeper sells his items using a faulty balance which measures 25% less. He then marks up his items 15% above the cost price. If he also gives a discount of 10%, then find his net profit percentage on 1 kg items.
32%
41%
44%
38%
Correct answer
32%
The speeds of two bodies are in the ratio 2 : 3. If the difference in the time taken to cover 50 m is 10 sec, then find the difference in their speeds.
\(\frac{8}{9}\) m/sec
\(\frac{5}{6}\) m/sec
\(\frac{6}{5}\) m/sec
\(\frac{7}{5}\) m/sec
Correct answer
\(\frac{8}{9}\) m/sec
The given table represents the population of different villages.
| Name of the Village | Number of males | Number of females |
|---|---|---|
| A | 1500 | 1220 |
| B | 1460 | 1320 |
| C | 1105 | 1180 |
| D | 1305 | 1170 |
Find the ratio of males to females in all villages.
537 : 389
163 : 179
179 : 163
389 : 537
Correct answer
537 : 389
The percentage marks obtained by 6 students in different subjects are given below.
The maximum marks for each subject have been indicated in the table.
| Subject Students | Physics | Mathematics | Hindi | Geography | English | History |
|---|---|---|---|---|---|---|
| Maximum marks → | 80 | 150 | 100 | 75 | 120 | 50 |
| P | 70 | 44 | 88 | 88 | 70 | 38 |
| Q | 90 | 40 | 54 | 92 | 65 | 40 |
| R | 85 | 32 | 70 | 64 | 55 | 30 |
| S | 75 | 70 | 58 | 80 | 60 | 35 |
| T | 65 | 60 | 45 | 88 | 50 | 42 |
| U | 60 | 50 | 60 | 72 | 25 | 48 |
The total marks obtained by student Q in Physics and Hindi are what percentage (rounded off to the nearest integer) more than the total marks obtained by student T in Geography and History?
45
49
56
38
Correct answer
45
Solve the following equation.
\(456 - (76+15^2)+\frac{3}{4}of\frac{76}{18}\div\left(\frac{19}{72\times 24}\right)=\) _______.
443
256
356
401
Correct answer
443
If cos A + cos B + cos C = 3, then what is the value of sin A + sin B + sin C?
1
2
0
-1
Correct answer
1
If the value of cosecA + cotA = m, then the value of cosecA - cotA is:
\(\frac{1}{m}\)
m
\(\sqrt{m}\)
m2
Correct answer
\(\frac{1}{m}\)
Solve the following equation.
(73 - 72 + 6) × (63 - 23 - 32 + 1) ÷ (212 + 202 - 41) = _______.
75
40
50
25
Correct answer
75
Ajay buys 18 oranges for ₹90 and sells 15 oranges for ₹105. Find the percentage of his gain.
35%
30%
25%
40%
Correct answer
35%
The following bar graph shows the sales (in thousand numbers) of scooters from six different companies in 2011 and 2012.
The average sales of companies A and E in 2011 is what percentage of the average sales of companies B and D in 2012?
65.89%
72.87%
70.89%
74.36%
Correct answer
65.89%
Find the amount if a sum of Rs. 7,500 is invested on compound interest at 8% p.a. for 1.5 years when the interest is compounded half yearly.
Rs. 8,436.48
Rs. 8,736.48
Rs. 8,657.48
Rs.8,564.48
Correct answer
Rs. 8,436.48
The following table shows the marks(in percentages) obtained by six students in six different subjects in an examination. The maximum marks in each subject are 100.
| Student | SUBJECT | |||||
|---|---|---|---|---|---|---|
| CS | PHYSICS | CHEMISTRY | MATHS | HISTORY | GEOGRAPHY | |
| A | 95 | 65 | 90 | 70 | 70 | 80 |
| B | 90 | 70 | 75 | 75 | 85 | 85 |
| C | 80 | 80 | 65 | 70 | 90 | 95 |
| D | 85 | 90 | 85 | 75 | 90 | 95 |
| E | 80 | 95 | 95 | 85 | 90 | 95 |
| F | 90 | 90 | 90 | 95 | 90 | 90 |
Answer the following question based on the table:
In which of the following subjects is the overall percentage the highest?
Chemistry
Geography
History
CS
Correct answer
Chemistry
The price of one shirt is ₹700 in a shop, on which 10% discount is available for all customers. An additional 20% discount is there for the customers who pay in cash. What is the amount a customer has to pay for a shirt if he pays in cash?
₹432
₹504
₹523
₹514
Correct answer
₹432
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.