Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A sum of Rs. 2,400 gives a simple interest of Rs. 504 in 3 years. Find the rate of interest per annum.
6%
10%
5%
7%
Correct answer
6%
The average of 12 numbers is M and the average of 8 of these numbers is P. If the average of the remaining numbers is N, then which of the following options is correct?
3M = 2P + N
4M = 2P + 3N
6M = 3P + 2N
6M = 2P + 3N
Correct answer
3M = 2P + N
The ratio of the quantities imported of steel and iron in 2018 was 3 ∶ 2 and in 2020 it was 1 ∶ 1. The ratio of the quantities imported of steel in 2018 and 2020 was 4 ∶ 3. What was the ratio of the quantities imported of iron in 2018 and 2020?
11 ∶ 12
7 ∶ 5
8 ∶ 9
7 ∶ 9
Correct answer
11 ∶ 12
What is the radius of a circular field whose area is equal to the sum of the areas of three smaller circular fields of radii 8 m, 9 m and 12 m, respectively?
20 m
21 m
29 m
17 m
Correct answer
20 m
The average age of two friends. A and B, is 24 years. The average age of A, B and C is 22 years. What is the age of C?
22 years
18 years
21 years
20 years
Correct answer
22 years
A toy is formed by placing a solid circular cone on a solid hemisphere and the radius of the common base of the cone and the hemisphere is 15 cm. If the volume of the toy is 2850 π cm3, then find the total surface area of that toy.
815 π cm2
755 π cm2
705 π cm2
685 π cm2
Correct answer
815 π cm2
A shopkeeper wants to make a profit of 8% after giving a discount of 14%. At what approximate percentage above the cost price should he mark his goods?
22%
32.4%
25.6%
29%
Correct answer
22%
The following table shows the total number of students in four different classes of a school, and the percentages of students participating in Music or Plays from each of these four different classes. NO student participates both in Music and in Plays.
| Classes | Total number of students in each class | Percentage of participants | |
|---|---|---|---|
| Music | Plays | ||
| X | 600 | 12 | 8 |
| IX | 400 | 10 | 6 |
| VIII | 280 | 30 | 15 |
| VII | 250 | 10 | 12 |
What is the total number of students who do NOT participate in Music or Plays from classes X and VII, taken together?
700
620
480
675
Correct answer
700
The compound interest earned by Sunil on a certain sum at the end of two years at the rate of 16% p.a., when interest is compounded annually, was 864. What was the sum invested by Sunil?
Rs. 2,500
Rs. 2,750
Rs. 1,500
Rs. 2,000
Correct answer
Rs. 2,500
Find the least possible number which when divided by 16, 24, and 28 leaves 13, 21, and 25 as remainders, respectively.
333
336
320
348
Correct answer
333
The selling price of a plate is 140% of its cost price. What will be the profit percentage?
35%
28.57%
40%
25%
Correct answer
35%
A work can be completed by N men in 15 days. 5 men leave the work after 3 days. The remaining work was completed in 18 days. What is the value of N?
18
21
15
12
Correct answer
18
The following table shows the marks obtained by Anoop in his final examination of class X in five different subjects.
| Subject | Maximum marks | Marks obtained |
|---|---|---|
| Hindi | 100 | 74 |
| English | 100 | 84 |
| Math | 150 | 124 |
| Science | 50 | 36.4 |
| Social Science | 50 | 47 |
What is the percentage of marks obtained by Anoop in all the five subjects put together?
75.8%
72.6%
81.2%
82.1%
Correct answer
75.8%
On a certain sum, the interest is compounded annually. If the compound interest for the second year is ₹400 and the compound interest for the fourth year is 576, then what is the rate of interest per annum?
20%
25%
15%
44%
Correct answer
20%
What is the value of (1 ÷ 2) of 10 + (1 ÷ 4) of 12?
-11
11
-3
8
Correct answer
-11
Out of a total of 9 books arranged in a particular order, the mean of the number of pages in the first 5 books is 430, the mean of the number of pages in the last 5 books is 380 and the mean of the number of pages in all the 9 books is 400. Find the number of pages in the fifth book.
450
420
430
440
Correct answer
450
The following bar chart shows the marks obtained (out of 100) by a student in 6 different subjects in an examination.
The total marks obtained by the student in S2 and S4 taken together is what percentage more than the marks obtained by the student in S5? [Give your answer correct to 2 decimal places.]
73.34%
71.11%
76.47%
79.32%
Correct answer
73.34%
The speed of a boat going downstream is 22 km/h. The speed of the stream is 1 km/h. How much distance in total will the boat cover going 3 hours downstream and 2 hours upstream?
112 km
94 km
106 km
102 km
Correct answer
112 km
S alone can do a piece of work in 14 days. T alone can do the same work in 21 days. U alone can do the same work in 28 days. Working together, in how many days will they complete the work?
\(\frac{{84}}{{13}}\) days
\(\frac{{77}}{{13}}\) days
\(\frac{{71}}{{13}}\) days
\(\frac{{87}}{{13}}\) days
Correct answer
\(\frac{{84}}{{13}}\) days
If A = \(\frac{2}{3}, \div ,\frac{4}{9}\), B = \(\frac{6}{11}, ×,\frac{33}{12}\) and C = \(\frac{1}{3}, ×,\frac{9}{2}\), then what is the value of A × B - C?
\(\frac{3}{8}\)
\(\frac{3}{2}\)
\(\frac{3}{4}\)
\(\frac{3}{16}\)
Correct answer
\(\frac{3}{8}\)
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.