List of top Mathematics Questions

The line 2x - y = 1 bisects the angle between two lines. If the equation of one line is y = x, then the equation of the other line is
Find: 
  1.  15% of 250 
  2.  1% of 1 hour 
  3.  20% of Rs 2500 
  4.  75% of 1 kg
Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?
box
The coordinates of the foot of the perpendicular drawn from the point \( (0, 1, 2) \) on the \( x \)-axis are given by:
Find the product.
(i) (5 – 2x) (3 + x) 
(ii) (x + 7y) (7x – y) 
(iii) (a2+ b) (a + b2) 
(iv) (p2 – q2) (2p + q)
A particle moves along the curve \(6y=x^3+2\).Find the points on the curve at which the y coordinate is changing 8 times as fast as the \(x\) coordinate
Let a, b, c be three distinct positive real numbers such that (2a)logea = (bc)logeb and bloge2 = alogec. Then 6a + 5bc is equal to _____.
The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choose the appropriate scale and answer the following:

(i) In which subject, has the child improved his performance the most?
(ii) In which subject is the improvement the least?
(iii) Has the performance gone down in any subject?
If \[ \frac{(2 - i)\,x + (1 + i)}{2 + i} \;+\; \frac{(1 - 2i)\,y + (1 - i)}{1 + 2i} \;=\; 1 - 2i, \quad\text{then}\quad 2x + 4y =\;? \]
In the expansion of $\frac{C_1}{C_0} + 2\frac{C_2}{C_1} +3\frac{C_3}{C_2}+…………… n \frac{C_{n}}{C_{n-1}}$ is equal to
The month of September is celebrated as the Rashtriya Poshan Maah across the country. Following a healthy and well-balanced diet is crucial in order to supply the body with the proper nutrients it needs. A balanced diet also keeps us mentally fit and promotes improved level of energy.
\includegraphics[width=\linewidth]{latex1.png} A dietician wishes to minimize the cost of a diet involving two types of foods, food \( X \) (in kg) and food \( Y \) (in kg), which are available at the rate of \( \text{₹} 16/\text{kg} \) and \( \text{₹} 20/\text{kg} \), respectively. The feasible region satisfying the constraints is shown in Figure-2. On the basis of the above information, answer the following questions: [(i)] Identify and write all the constraints which determine the given feasible region in Figure-2. [(ii)] If the objective is to minimize cost \( Z = 16x + 20y \), find the values of \( x \) and \( y \) at which cost is minimum. Also, find the minimum cost assuming that minimum cost is possible for the given unbounded region.
Length of the fence of a trapezium shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.
Diagram of the adjacent picture frame has outer dimensions = 24 cm x 28 cm and inner dimensions 16 cm x 20 cm. Find the area of each section of the frame, if the width of each section is same.
section of frame
Find: \[ \int \frac{(3 \cos x - 2) \sin x}{5 - \sin^2 x - 4 \cos x} \, dx. \]
In a class test (+3) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?
The vertices of triangle \( \triangle ABC \) are \( A(1, 1, 0), B(1, 2, 1) \), and \( C(-2, 2, -1) \). Find the equations of the medians through A and B. Use the equations so obtained to find the coordinates of the centroid.
Minimise Z=x+2y
Subject to 2x+y≥3,x+2y≥6,x,y≥0.
Integrate the function: \(\frac {1}{\sqrt {(x-a)(x-b)}}\)
Find:
(i) 2.7 ÷ 100
(ii) 0.3 ÷ 100
(iii) 0.78 ÷ 100
(iv) 432.6 ÷ 100
(v) 23.6 ÷ 100
(vi) 98.53 ÷ 100
Evaluate \( \int_1^3 [x - 1] \, dx \)
Give four rational numbers equivalent to:
(i)\(\frac{-2}{7}\)
(ii) \(\frac{5}{-3}\)
(iii) \(\frac{4}{9}\)
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Let the domains of the functions $ f(x) = \log_4 \log_3 \log_7 (8 - \log_2(x^2 + 4x + 5)) $ and $ g(x) = \sin^{-1} \left( \frac{7x + 10}{x - 2} \right)$ be $ (\alpha, \beta) $ and $ [\gamma, \delta] $, respectively. Then $ \alpha^2 + \beta^2 + \gamma^2 + \delta^2 $ is equal to:
Find the number of digits in the square root of each of the following numbers (without any calculation). 
  1. 64 
  2. 144 
  3.  4489 
  4.  27225
  5.  390625
The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is________