Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Working separately, A and B can complete a work in 15 days and 18 days, respectively. If A starts the work and they work on alternate days, one on each day, then in how many days will the work be completed?
16 (1)/(3)
17 (1)/(3)
15 (2)/(3)
8 (2)/(3)
Correct answer
16 (1)/(3)
The average weight of 10 persons is increased by 3.5 kg, when one of them whose weight is 45.5 kg is replaced by a new man. The weight (in kg) of the new man is ___.
75.5
70.5
80.5
85.5
Correct answer
75.5
A bag contains a total of 180 coins in the denominations of ₹5 and ₹1. Find the number of ₹5 coins in the bag, if the total value of the coins is ₹500.
60
120
80
100
Correct answer
60
Ramagya spends 22% of his salary on house rent and 75% of the rest on household expenses. If he saves ₹3,705, find his total income (in rupees).
₹19,000
₹21,000
₹17,000
₹18,000
Correct answer
₹19,000
In a race of 400 m, Bhim gave Saral a head start by 20 m at the start of the race. Saral took 48 seconds to complete the race. What was the speed (in m/s) of Bhim if Saral defeated Bhim by a margin of 2 seconds?
7.6
8
8.7
7.4
Correct answer
7.6
A dealer buys an article listed at ₹250 and gets successive discounts of 12% and 16%. He spends 10% of the cost price on transportation. At what price should he sell the article to earn a profit of 25%? (Correct to two places of decimal)
₹244.10
₹274.10
₹264.10
₹254.10
Correct answer
₹244.10
Find the third proportional of 9, 7, ?, 14.
21
16
24
18
Correct answer
21
If the six-digit number 15x1y2 is divisible by 44 , then the minimum value of (x + y) is equal to:
5
6
8
7
Correct answer
5
The surface area of a sphere is 2464 cm2. Calculate its volume. \((Use\ \pi=(22)/(7))\)
11598.67 cm3
11478.67 cm3
11488.67 cm3
11498.67 cm3
Correct answer
11598.67 cm3
A and B are participants in a 1,800 m circular race. A is running at a speed of 24 km/h and B is running at a speed of 15 km/h. If both start from the same point and at the same time and run in the same direction, find the time when they will meet again. (up to two decimal points)
500 sec
720 sec
600 sec
400 sec
Correct answer
500 sec
John buys 20 kg of wheat at ₹30 per kg and 30 kg of wheat at ₹50 per kg. Find his average price.
₹40 per kg
₹20 per kg
₹42 per kg
₹21 per kg
Correct answer
₹40 per kg
The salary of an employee is increased by 10% and then the increased salary is reduced by 10%. The percentage loss in the salary of the employee is:
3%
1%
2%
4%
Correct answer
3%
Pass percentage of an examination is 35%. If a student who got 210 marks, failed by 14 marks, then what are the maximum marks of the examination?
640
600
620
660
Correct answer
640
The table below shows the production of different types of caps (in thousands) in different years.
| Type of Cap/Year | 2008 | 2009 | 2010 | 2011 | 2012 |
|---|---|---|---|---|---|
| M | 576 | 896 | 287 | 896 | 884 |
| N | 560 | 753 | 473 | 560 | 637 |
| Q | 586 | 637 | 576 | 753 | 678 |
| R | 778 | 780 | 560 | 780 | 678 |
In which year was the production (in thousands) of Cap Q equal to that of Cap R?
2010
2011
2009
2012
Correct answer
2010
Evaluate the following.
\(\frac{5 \cos ^2 120^{\circ}+4 \sec ^2 30^{\circ}-\tan ^2 135^{\circ}}{\sin ^2 30^{\circ}+\cos ^2 30^{\circ}}\)
\(\frac{37}{12}\)
\( \frac{57}{5}\)
\(\frac{67}{12}\)
\(\frac{27}{5}\)
Correct answer
\(\frac{37}{12}\)
A police station, a bank and a safe house for the thief are in a straight line with a bank in between. The distance between the police station and the safe house is four times the distance between the bank and the safe house. After looting the bank at 9:15 A.M, the thief runs away. A policeman gets the information instantly and chases him at the speed of 16 km/h. The policeman catches the thief at the gate of the safe house in fifteen minutes. What is the distance between the bank and the police station?
2 km
1 km
4 km
3 km
Correct answer
2 km
A work can be finished by 8 men in 10 days working 6 hours a day or same can be finished by 20 qualified workers in 6 days working 8 hours a day. 2 men and 4 qualified workers work simultaneously 10 hours a day, the work will be finished in ________ days.
10
8
12
9
Correct answer
10
If the area of a regular pentagon is 3920 \(\sqrt{3} \) cm2, then how long is its each side?
38 cm
56 cm
58 cm
46 cm
Correct answer
38 cm
The following table shows the number of voters at 5 different centres P, Q, R, S and T and the percentage of people who voted in an election.
| Centre | Total Number of Registered Voters | Percentage of People Who Voted (Out of the total number of registered voters) |
|---|---|---|
| P | 3500 | 85% |
| Q | 2900 | 76% |
| R | 2400 | 82% |
| S | 1850 | 90% |
| T | 3000 | 87% |
If the number of invalid votes cast at Centre S was 20% of the total number of votes cast, then what percentage of the total number of registered voters cast invalid votes at Centre S?
20%
18%
25%
22%
Correct answer
20%
If a − b = 5 and ab = 25, then the value of a3 − b3 is:
525
400
450
500
Correct answer
525
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.