Maths is quite an abstract subject, and it can be rather intimidating at times. However, you can learn mathematics easily and effortlessly if you practice enough. To guide you in this endeavour, we have provided detailed solutions on many important concepts. The solutions are elaborated with simple, yet detailed explanations. Relevant formulas are listed out wherever required. Tips and shortcuts are provided to save precious time and effort.

Content is presented in a format which can be comprehended with ease. This means students will understand concepts without much hassle. From an exam perspective, a wide range of questions is covered from a plethora of subjects concepts from Trigonometry and Statistics to Calculus and Integrals.

Just like any other subject, mathematics can be better understood through exhaustive practice. Consider this analogy: a skill such as dancing or painting can only be perfected with enough practice. Similarly, the only way to get better at math is to keep practising. Moreover, we have a database of questions extracted from school textbooks and competitive exams. These will help the students to practice and perfect concepts in mathematics.

We are also here to help you solve your doubts. Post your questions in the comment box below and we will immediately provide answers and a detailed step-by-step process to solve the same. Register at BYJU’S and start practising Maths Questions today!

Solution: Given n(X) = 17 n(Y) = 23 n(X⋃Y) = 38 n(X∪Y) = n(X) + n(Y) - n(X∩Y) 38 = 17 + 23 - n(X∩Y) 38 = 40 - n(X∩Y) =>...
(i) -8 - 24 + 31 - 26 - 28 + 7 + 19 - 18 - 8 + 33 (ii) -26 - 20 + 33 -(-33) + 21 + 24 - (-25) -26 - 14 - 34 Solution: (i) -8 - 24 + 31 - 26 -...
Solution: (3x+4y)(3x+5y) = 3x(3x+5y) + 4y(3x+5y)  = 9x2 + 15xy + 12xy + 20y2 = 9x2 + 27xy + 20y2 Hence (3x+4y)(3x+5y) = 9x2 + 27xy + 20y2...
Solution: Given sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x. We know sin C + sin D = 2 sin (C+D)/2 cos (C-D)/2 Also cos C + cos D =...
Solution: Given number is 1682. We know 82 = 64 Hence the units place of 1682 will be 4....
Solution: Let p be the number of employees and q be the wages per head. Total wages = pq Given that the number of employees working in a farm...
Class 40-50 50-60 60-70 70-80 80-90 Frequency 5 x 15 12 7 Solution:...
Solution: Given 15 + x = 25 Subtract 15 from both sides of the equation We get 15 + x - 15 = 25 - 15 x = 10 Hence the value of x is 10....
Solution: Let x-7, x , x+7 be the three consecutive multiples of 7. Given that the sum of three consecutive multiples of 7 is 777.  So we...
Answer: Interest = (P × R × T)/100, where T is R % is and P is Principal. Example: Interest on ₹ 12500 at 18% per annum for a period...
Answer: The difference of interest for 2 years and 3 years on a sum of ₹ 2100 at 8% per annum is ₹ 168. Given: P = ₹ 2100 Time = 2 years Rate =...
Answer: To convert a fraction into a percent, we multiply it by 100. In mathematics, a percentage is a number or ratio that can be expressed...
Answer: To convert a decimal into a percent, we shift the decimal point two places to the right. In mathematics, the decimal to percent defines...
Answer: The sum of interest on a sum of ₹ 2000 at the rate of 6% per annum for 1½ years and 2 years is ₹ 420. Given: P = 2000 R = 6% T =...
Answer: Sonal bought a bed sheet for ₹ 400 and sold it for ₹ 440. Her Profit % is 10. Given: The cost price of bed = ₹ 400 The selling price of...
Answer: When converted into a percentage, the value of 6.5 is more than 100%. Given: 6.5 = 6.5 × 100 = 650% In mathematics, a percentage...
Answer: Nasim bought a pen for ₹ 60 and sold it for ₹ 54. His loss % is 10. Given: Cost price of pen = ₹ 60 Selling price of pen = ₹ 54 CP is...
Answer: Aahuti purchased a house for ₹ 50,59,700 and spent ₹ 40300 on its repairs. To make a profit of 5%, she should sell the house for ₹...
Answer: If 20 lemons are bought for ₹ 10 and sold at 5 for three rupees, then profit in the transaction is 20%. Given The cost price of 20...

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