Mathematics
Mathematics is the science of numbers, quantity, structure, space, and change. It plays a crucial role in our daily lives—from basic calculations to complex problem-solving in science, engineering, technology, and finance.
Often described as the "language of the universe," mathematics helps us understand patterns, formulate new conjectures, and build logical frameworks for solving real-world problems. Its branches include arithmetic, algebra, geometry, trigonometry, calculus, and statistics, each with unique applications and significance.
Mathematics nurtures reasoning, critical thinking, and analytical skills, making it a foundational subject in education and a powerful tool across disciplines.
Question related to Mathematics
- Sonu and Raj have to collect different kinds of leaves for a science project. They go to a park where Sonu collects 12 leaves and Raj collects x leaves. After some time, Sonu loses 3 leaves and Raj collects 2x more leaves. Write an algebraic expression to find the total number of leaves collected by both of them.
- What is the common difference of an arithmetic progression (A.P.) in which a₍₂₁₎ − a₍₇₎ = 84?
- The temperature dropped by 4°C every hour for 6 hours. How much did the temperature drop in total?
- A triangle has one side 17 cm, and the difference between the other two sides is 3 cm. If the perimeter is 42 cm, find the area.
- What is the additive inverse of -25?
- A thief runs with a uniform speed of 100 m/minute. After one minute a policeman runs after the thief to catch him. He goes with a speed of 100 m/minute in the first minute and increases his speed by 10 m/minute every succeeding minute. After how many minutes the policeman will catch the thief.
- The area of a rectangle is uv, where u is the length and v is the breadth. If the length is increased by 5 units and the breadth is decreased by 3 units, find the new area of the rectangle.
- The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2. Find the area of the triangle.
- Subtract 5xy(x + y − 5) from x(6x² − 7y + 5) + xy(x + y)
- In a school there are two sections – section A and section B of class X. There are 32 students in section A and 36 students in section B. Determine the minimum number of books required for their class library so that they can be distributed equally among students of section A or section B.
- What must be added to the sum of (x² − 4x + 7) and (2x² + 5x − 9) to get 0?
- The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.
- Express 0.666… in the form p/q.
- The side of a cube is doubled. How many times will its volume increase?
- Rahul borrowed Rs 5,000 at 12% simple interest per year. How much will he have to pay after 3 years?
- Rationalize the denominator: 1 / (√5 + √2).
- The product of HCF and LCM of 60,84 and 108 is
- Simplify: (-8) + 15 - (-6)
- If the sum of first 7 terms of an AP is 49 and that of first 17 terms is 289, find the sum of its first n terms.
- Find the value of x and y if x + y = 5xy and 3x + 2y = 13xy . Also, x ≠ 0 and y ≠ 0
- The sum of the cubes of two numbers is 189. If one number is twice the other, find both numbers.
- How long will Rs 1,500 take to become Rs 1,950 at 10% simple interest?
- Which of the following cannot be the probability of an event? (A) 2/3 (B) –1.5 (C) 15% (D) 0.7
- The temperature was -5°C in the morning and rose by 12°C by noon. What is the new temperature?
- What is 0 divided by 0?
- If the 3rd and the 9th terms of an AP are 4 and – 8 respectively, which term of this AP is zero?
- Find the cube root of 125 × 64
- One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting (i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds
- Divide (-36) by 9.
- The simple interest on a sum for 4 years at 9% per annum is Rs 720. Find the principal.