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!

Given, two dice are rolled simultaneously Total number of possible outcomes = 6 x 6 = 36 The outcomes of getting 5 at least once, are:...
Given,  number of boys in a class = b number of girls in a class = g total number of students in a class = b+g Therefore, the ratio...
Answer: C. 44.0 cu.cm Given, volume of sphere = 1.76 cu.cm Volume of 25 spheres = 1.76 x 25 = 44 cm3 The volume of 25 such spheres taking...
HCF of 468 and 222 is 6 468 = (222 × 2) + 24 222 = (24 × 9) + 6 24 = (6 × 4) + 0 Now we need to express HCF of 468...
We can write the value sin 80 degrees in decimals as follows:sin 80°= 0.9848077...This conversion can be done as given below:Let us convert...
Given,H.C.F = 33L.C.M = 264 When the first number is divided by 2, then quotient is 33 and remainder is 0. Let the number be x x/2 = 33 x...
Given, Sum of two numbers = 1215 Let the numbers be x and y. Also, HCF (x, y) = 81 So, 81 x + 81 y = 1215 x + y = 1215/81  x...
Total number of cards in a deck = 52 Number of cards with King and Queen = 4 + 4 = 8 Number of cards that are neither King nor Queen = 52 - 8...
Let the price of sugar be Rs.100 Given, the price of sugar is increased by 20%. New price = Rs.120 Family decreased the consumption of...
Given, Order of matrix A = 3 x 2 Order of matrix B = 2 x 2 Order of AB = Number of rows of A x Numbers of columns of B = 3 x 2...
Given, in △ABC, AD is a bisector of ∠A and meets base BC at D, such that: BD = DC...
Solution: Let D = = 0 - 1(0-1) + 1(1-0) = 0+1+1 = 2 Hence, the largest value of a third-order determinant whose elements are 0 or 1 is 2....
Solution: We have to find out ∫xex dx. We can make use of integration by parts. Take x = u Let ex = v ∫uv dx = u∫v -...
Solution: In nPr, P denotes permutation.  This formula gives the number of ways of selecting and arranging r objects from the given n...
Solution: We will have to draw the graphs of functions y = x logx and y = 3-x. The solution of the equation: x log x = 3-x will be given by the...
Solution: Assume that √6 is rational. So it can be represented as a fraction. Let the lowest terms representation be √6 = a/b,...
(a) one solution (b) two solutions  (c) infinitely many solutions (d) no solution Solution: Given 5x - 15y = 8  3x - 9y =...
Solution: Prime factorisation of 7 = 71 Prime factorisation of 8 = 2×2×2 = 23 Prime factorisation of 11 = 111 Prime...
Solution: A relation R on set A is called a transitive relation if (a, b)∈R, (b, c)∈R => (a, c)∈R for all a, b, c ∈ A....
(a) 7/4 (b) 1 (c) -½ (d) -5 Solution: Given (α+5)x2 - (2α+1)x + (α-1) = 0 has roots equal in magnitude but...

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