Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The difference between the compound interest and the simple interest on a certain sum of money at 10% per annum for 2 years is ₹200. What is the sum of money, if in the case of compound interest, interest is compounded annually ?
₹25,000
₹15,000
₹12,000
₹20,000
Correct answer
₹25,000
P = 25 × 38 and Q = 23 × 3K . If the highest common factor of P and Q is 23 × 33, then what is the value of K ?
1
2
3
5
Correct answer
1
The following bar graph shows the percentage of students from five different colleges who are selected for a maths quiz.
The ratio of the number of students in colleges P, Q, R, S and T is 2 ∶ 4 ∶ 3 ∶ 1 ∶ 3, respectively. If 25 students are selected from college P, then what is the total number of students selected for the quiz ?
172
180
240
210
Correct answer
172
A bus can travel 20% faster than a scooter. Both start from point P at the same time, and reach point Q. 60 km away from point P, at the same time. On the way, however, the bus lost about 10 minutes while stopping at bus stations, while the scooter did not stop anywhere. What is the speed of the bus ?
68 km/h
80 km/h
60 km/h
72 km/h
Correct answer
68 km/h
15% of the marked price of an item is equal to 25% of its cost price. If a discount of 25% is given on the scale of the item, then what will be the profit percentage ?
22.5%
20%
17.5%
25%
Correct answer
22.5%
In an election between 2 candidates, the winning candidate gets 2940 valid votes, while the losing candidate gets 40% of the valid votes. If 2% of the votes polled were declared invalid, then what is the total number of votes polled ?
4500
5000
6000
5500
Correct answer
4500
What is the height of a cylinder whose radius of base is 12 cm and volume is 19008 cm3 ? [Use \(\pi = \frac{{22}}{7}\)]
6 cm
24 cm
38 cm
42 cm
Correct answer
6 cm
When 8 is added to the numerator of a fraction and 12 is added to its denominator, the fraction becomes \(\frac{1}{2}\). When 2 is subtracted from its numerator and denominator, the fraction becomes \(\frac{1}{8}\). Find the original fraction.
\(\frac{9}{{19}}\)
\(\frac{3}{{10}}\)
\(\frac{4}{7}\)
\(\frac{5}{{11}}\)
Correct answer
\(\frac{9}{{19}}\)
If on a certain sum, the simple interest for 4 years is ₹2,000, then what is the simple interest for 6 years on the same sum ?
₹3,500
₹3,000
₹4,000
₹2,800
Correct answer
₹3,500
P is increased successively by 15% and 20% to get Q. If P = 200, then what is the value of Q ?
266
284
276
292
Correct answer
266
Vinay purchased two bottles of a total of ₹100, and he sells these two bottles at the rate of ₹100 per bottle. What is the overall profit percentage that Vinay had on selling the two bottles ?
50%
100%
200%
80%
Correct answer
50%
The average of a set of 15 numbers is 41. Five numbers 21, 24, 39, 47 and 97 are removed from the above set. What will the average of the remaining 10 numbers ?
39.2
37.6
38.7
36.4
Correct answer
39.2
What is the value of \(\frac{{17 - 8 \times 5 + 4 \times 3}}{{5 \times 3 \div 6 + 2 \times 4}}\) ?
\(\frac{{ - 25}}{{21}}\)
\(\frac{{ - 22}}{{21}}\)
\(\frac{{ - 5}}{6}\)
\(\frac{{ - 8}}{7}\)
Correct answer
\(\frac{{ - 25}}{{21}}\)
The selling price of a desktop is 9 times of the profit earned on selling this desktop. What is the profit percentage ?
10%
12.5%
11.11%
8.33%
Correct answer
10%
A, B and C together can do a piece of work in 6 days. A and B together can do the same work in 12 days. B alone can do the same work in 18 days. In how many days can A and C together do the same work ?
9 days
10.5 days
8 days
7.5 days
Correct answer
9 days
A can do a piece of work alone in 40 days. A and B together can do the same work in 10 days. C is 50% less efficient than B. In how many days can A and C together complete the same work ?
20 days
24 days
16 days
12 days
Correct answer
20 days
What will be the average of all the prime numbers between 9 and 22 ?
14
15
10
12
Correct answer
14
5 times of the perimeter of a square is 600 cm. What will be the area of this square ?
900 cm2
1150 cm2
750 cm2
480 cm2
Correct answer
900 cm2
What is the average of the first 10 prime numbers ?
10.9
12.9
11.9
13.9
Correct answer
10.9
The value of (256)1/2 - (1331)1/3 + 23 × 13?
304
305
309
302
Correct answer
304
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.