Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A sum of money becomes two times of itself in 8 years at simple interest, and it becomes four times of itself in 2 years at compound interest, when interest is compounded annually. Find the ratio of the rate of simple interest to the rate of compound interest offered per year.
2 ∶ 3
3 ∶ 5
5 ∶ 3
1 ∶ 8
Correct answer
2 ∶ 3
A smaller circle touches a bigger circle internally and also passes through the center 'O' of the bigger circle. If the area of the smaller circle is 192 cm2, the area of the bigger circle (in cm2) is:
768
384
1024
720
Correct answer
768
The HCF and the LCM of two numbers are 5 and 120, respectively. If the sum of the two numbers is 55, then the sum of the reciprocals of these two numbers is equal to:
\(\frac{55}{601}\)
\(\frac{11}{120}\)
\(\frac{120}{11}\)
\(\frac{601}{55}\)
Correct answer
\(\frac{55}{601}\)
Ranveer bought a computer paying 25% less than the list price and sold it to his neighbour at a 40% profit on his purchase cost. The profit percentage earned by Ranveer on the list price of the computer is:
10%
7.5%
6.67%
5%
Correct answer
10%
A thief escapes from a police station at 8:00 a.m. on a cycle at a speed of 50 km/h. A policeman starts chasing the thief on a motorbike at 9:30 a.m. at the speed of 65 km/h. At what distance from the police station will the policeman catch up with the thief?
335 km
310 km
325 km
300 km
Correct answer
335 km
A and B leave from point M at the same time towards point N. B reaches N and starts towards M instantly. He meets A at point O (between M and N). The distance between M and N is 245 km. If the speeds of A and B are 26 km/h and 65 km/h, respectively, then what is the distance between O and N?
115 km
105 km
95 km
140 km
Correct answer
115 km
What is the value of \(\rm \left[\left{\left(\frac{3}{7}\ of\ \frac{5}{12}-\frac{1}{2}\right)+\frac{11}{12}-\frac{1}{2}\times\frac{4}{5}\right}+\frac{6}{5}\times\frac{25}{18}\right]\) ?
\(\frac{156}{257}\)
\(\frac{391}{210}\)
\(\frac{395}{282}\)
\(\frac{392}{515}\)
Correct answer
\(\frac{156}{257}\)
Ranbir bought a car at a 50% discount on the cost price of the car. Had he got a 60% discount, he would have spent Rs. 1,00,000 less. Calculate the cost price of the car?
Rs. 15 lakhs
Rs. 20 lakhs
Rs. 18 lakhs
Rs. 10 lakhs
Correct answer
Rs. 15 lakhs
B is 10% more than A. C is 20% less than A. B is what percentage more than C?
45%
27.5%
37.5%
25%
Correct answer
45%
The average of six consecutive odd numbers is 26. Find the difference between the largest and the smallest of these numbers.
8
16
10
12
Correct answer
8
The following table shows the number of pens and the number of erasers of 6 different colours that were sold from a stationery store during a given week.
| Colours | Pens | Erasers |
|---|---|---|
| C1 | 20 | 15 |
| C2 | 24 | 21 |
| C3 | 40 | 12 |
| C4 | 22 | 18 |
| C5 | 26 | 27 |
| C6 | 36 | 33 |
The total number of erasers having colours C3 and C4 is approximately what percentage of the average number of pens of each colour?
119.16%
107.14%
115.22%
101.24%
Correct answer
119.16%
A and B can together complete a piece of work in 18 days. B and C can together complete the same work in 24 days and A and C can together complete it in 36 days. In how many days can A, B and C, working together, complete this piece of work?
19
16
20
14
Correct answer
19
Rohit purchased 12 kg of oranges for a total price of Rs. 480 and 18 kg of guavas at Rs. 30 per kg. What is the per kg average cost of the fruits purchased by Rohit?
Rs. 36.00
Rs. 34.00
Rs. 37.20
Rs. 38.20
Correct answer
Rs. 36.00
Find the curved surface area of a solid cylinder whose radius of base is 14 cm and volume is 7392 cm3. [Use π = \(\frac{22}{7}\)]
1840 cm2
1056 cm2
1081 cm2
996 cm2
Correct answer
1840 cm2
If K2 ∶ M ∶∶ M ∶ 16, then what is the value of (K2 + 2M2) ∶ (K2 + M2) ?
1 ∶ 1
33 ∶ 17
17 ∶ 16
32 ∶ 17
Correct answer
1 ∶ 1
If A = \(\frac{1}{2}+\frac{1}{3}\times\frac{1}{4}\div\frac{1}{5}-\frac{1}{6}\) and B = \(\frac{1}{2}\div\frac{1}{3}\times\frac{1}{4}+\frac{1}{5}\), then what is the value of A - B?
\(\frac{17}{20}\)
\(\frac{9}{20}\)
\(\frac{7}{40}\)
\(\frac{1}{5}\)
Correct answer
\(\frac{17}{20}\)
The perimeter of a square is equal to the perimeter of a rectangle, and the latter has a width of 12 cm. The area of the square is 400 cm2. Find the area of the rectangle.
412 cm2
394 cm2
324 cm2
336 cm2
Correct answer
412 cm2
In a competitive exam, the minimum qualifying percentages for Category A and Category B jobs are 25% and 45%, respectively. A candidate scored 83 marks and failed to get a Category B job by 25 marks. What is the minimum qualifying marks to secure a Category A job?
55
60
50
65
Correct answer
55
If \(\rm \frac{32\div16-5\times2}{11\div22\times8-5\times2}=\frac{1}{P}\), then what is the value of P?
\(\frac{4}{3}\)
\(\frac{5}{4}\)
\(\frac{3}{4}\)
\(\frac{4}{5}\)
Correct answer
\(\frac{4}{3}\)
If the total surface area of a sphere of radius r cm is equal to the total surface area of a cube of side s cm, which of the following is true?
r > s
r ≥ s
r = s
r < s
Correct answer
r > s
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.