Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A shopkeeper allows a discount of 15% on a text book with the marked price Rs. 100. On request, he further allows a discount of 10% on the new price of the goods. What is the overall discount given to the customer?
Rs. 23.50
Rs. 75.00
Rs. 25.00
Rs. 76.50
Correct answer
Rs. 23.50
A person offers a 15% discount on his garments, and he offers a further discount of 10% on the reduced price to those customers who pay cash. What will a customer have to pay in cash for a jacket of Rs. 3,600?
Rs 3,240
Rs 3,366
Rs 2,754
Rs 3,060
Correct answer
Rs 3,240
A hemisphere has 42 cm diameter. Find its curved surface area and the total surface area.
2772 cm2, 4158 cm2
3772 cm2, 5158 cm2
4770 cm2, 4238 cm2
3072 cm2, 4058 cm2
Correct answer
2772 cm2, 4158 cm2
The population of 7 villages is shown in the following pie chart.
What is the difference between the population of village D & E, if the total population of the all the villages is 60000?
400
800
500
600
Correct answer
400
If the number 647592 is divisible by 88 and if the digits are rearranged in increasing order, then the new number thus formed will be divisible by:
22
66
44
03
Correct answer
22
Simplify.
\(\rm \frac{\sin 8\theta \cos \theta - \sin 6\theta \cos 3\theta}{ \cos 2\theta \cos \theta - \sin 3\theta \sin 4\theta}\)
cot θ
cot 2θ
tan θ
tan 2θ
Correct answer
cot θ
The monthly income of Ramesh was Rs.16,500 and his monthly expenditure was Rs.10,500. Next year his income increased by 25% and his expenditure increased by 19%. Find the percentage increase in his saving.
33.5%
34.5%
32.5%
35.5%
Correct answer
33.5%
On selling a car to Anuj, Aman suffered a loss of 10%. Anuj sold the car for Rs. 5,54,400 suffering a loss of 12%. What would be the cost price of the car for Aman?
Rs. 7,00,000
Rs. 8,00,000
Rs. 6,50,000
Rs. 7,50,000
Correct answer
Rs. 7,00,000
The following Bar Graph displays the highest, average and lowest marks obtained in Accounts, Business Studies, Economics and English by students of Class XII in an Examination. The maximum marks for each subject is 100. Study the graph carefully and answer the question that follows:
Which of the two Highest Scores is better and by how much?
The combined Highest Score of Accounts and Business Studies or the Highest Score of Economics and English taken together.
Economics and English by 10
Accounts and Business Studies by 9
Accounts and Business Studies by 8
Economics and English by 8
Correct answer
Economics and English by 10
In a right triangle for an acute angle x, find sin x. It is given that tan x = 5.
\(\frac{1}{3}\)
\(\frac{5}{\sqrt{(26)}}\)
\(\frac{2}{5}\)
\(\frac{5}{\sqrt{(28)}}\)
Correct answer
\(\frac{1}{3}\)
A car covers a particular distance in 3 hours with the speed of 54km/h. If the speed is increased by 27km/h, the time taken by the car to cover the same distance will be:
2 h
1 h
\(\rm 2\frac{1}{2} \ h\)
\(\rm 1\frac{1}{2} \ h\)
Correct answer
2 h
Refer to the following table. Read the table and answer the question. Food grain Production in a country in 1999. (in lakh tons)
| State | Rice | Wheat | Jowar | Pulses | Other |
|---|---|---|---|---|---|
| P | 55 | 113 | --- | 37 | 39 |
| Q | 58 | 96 | 83 | 29 | 25 |
| R | 69 | 42 | 77 | 24 | 41 |
| S | 51 | 47 | 69 | 31 | 25 |
| T | 47 | 32 | 51 | 23 | 21 |
| U | 78 | 25 | 22 | --- | 28 |
| V | 67 | 18 | 17 | 22 | 20 |
| W | 48 | 38 | 41 | 32 | 55 |
State P alone produce how much percentage of wheat out of the total wheat production in the country?
22.50 percent.
27.50 percent.
25.50 percent.
23.50 percent.
Correct answer
22.50 percent.
Class 10, consisting of 40 students, took a science test. 30 students had an average score of 95. The other students had an average score of 85. What is the average score of the whole class?
92.3
92.5
92.4
92.2
Correct answer
92.3
The population of four villages in 4 years is presented in the following table.
| Village/Year | 2018 | 2019 | 2020 | 2021 |
|---|---|---|---|---|
| A | 12381 | 12800 | 13045 | 13256 |
| B | 10089 | 11478 | 11502 | 11931 |
| C | 7896 | 7942 | 8069 | 8275 |
| D | 5152 | 5230 | 5346 | 5500 |
What is the percentage increment in the population of village A in 2021 as compared to the population in the year 2018? (Correct up to two decimal place.)
8.07
7.07
6.89
9.63
Correct answer
8.07
The value of \(\rm \frac{(x-y)^3+(y-z)^3+(z-x)^3}{(x^2-y^2)^3+(y^2-z^2)^3+(z^2-x^2)^3}\) where x ≠ y ≠ z, is:
0
\(\rm \frac{1}{(x+y+z)}\)
\(\rm \frac{1}{(x+y)(y+z)(z+x)}\)
1
Correct answer
0
In the given figure, AB = 8 cm; AC = 17 cm. What is the length of AD ?
4.68 cm
5.36 cm
3.76 cm
8.5 cm
Correct answer
4.68 cm
If a + b + c = 10 ; a2 + b2 + c2 = 38, what is the value of (a - b)2 + (b - c)2 + (c - a)2?
15
12
14
13
Correct answer
15
The value of 1801 × 1801 is:
3423601
3243601
2343601
3243106
Correct answer
3423601
Shivi drives her car on three different ways to reach the destination. Determine the average speed during this journey.
| Way | Speed (km/h) | Distance (km) |
|---|---|---|
| A | 38 | 114 |
| B | 42 | 84 |
| C | 46 | 230 |
42.8 km/h
41.5 km/h
43.5 km/h
41.8 km/h
Correct answer
42.8 km/h
Study the given bar-graph and answer the question that follows.
The bar-graph shows the export of rice (in Rs. lakh) during five years.
The average export of rice for the years 2010 to 2014 (in Rs. lakh) was:
13.28
14.78
15.88
16.56
Correct answer
13.28
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.