SolveForX

All solved maths problems

1518 problems, newest first. Browse by chapter at NCERT solutions by class.

  1. The sum of a two-digit number and the number obtained by reversing its digits is 132. If the digits differ by 2, find the number.

    The number is 75 or 57.

  2. 'A thief runs away from a police station with a uniform speed of 100 m/minute. After exactly one minute, a policeman runs after the thief to catch him. The poli

    The policeman will catch the thief after 5 minutes.

  3. An empty inverted right circular conical vessel of base radius 12 cm and vertical height 18 cm is being filled with water at a constant rate of 12π cm³/s.At the

    Total time elapsed is (55)/(3) s (or 18(1)/(3) s), and the water level rises instantly by ( [3]459 - 6) cm ≈ 1.71 cm.

  4. If 3 apples are placed with 6 oranges in an arrangement. How many apples will be placed next to 80 oranges in the same arrangement

    40 apples

  5. A motorboat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot.On a particular day, the spe

    नाव द्वारा पूरी यात्रा तय करने में लगा नया कुल समय (216)/(65) hours (अर्थात 3(21)/(65) hours) होगा।

  6. Two couriers, Jack and Jill, start walking at the same instant from two towns, A and B, heading towards each other at constant speeds.They pass each other at a

    Jack's speed is 16 km/h, Jill's speed is 12 km/h, and the total distance between town A and town B is 336 km.

  7. 5X+7Y = 37. If X = 2 What is Y?

    Y = (27)/(7)

  8. Two pipes, A and B, working together can fill a water tank in exactly 12 days.If pipe A works alone for half of the total time it takes for B alone to fill the

    One pipe takes 21 days and the other takes 28 days (either Pipe A takes 21 days and Pipe B takes 28 days, or Pipe A takes 28 days and Pipe B takes 21 days).

  9. 7y + 2x = 10 3y+7x=9 Find x and y

    x = (33)/(43), y = (52)/(43)

  10. Find all integer values of n for which the expression (7n-12)/(2n+3) results in a perfect square.

    n = 3 and n = -24

  11. √(59 + √(16 + √81)) =?

    8

  12. A rectangular garden is 23 m long and 17 m wide. A path 2.5 m wide runs all around the outside of the garden. Find the area of the path.

    The area of the path is 225 m².

  13. One class homework math chaiyye

    Class 1 homework exercises cover fundamental counting, addition (3 + 2 = 5), subtraction (5 - 2 = 3), and number sequencing from 1 to 10.

  14. Show how to solve scenario based querywith steps

    The customer purchased 6 apples and 4 bananas.

  15. Can you solve Xpower3+28x-14x=0

    Real solution: x = 0 (or complex solutions: x = 0, ± i√14)

  16. 1apple have 2 followers and 24apple have how many followers

    48 followers

  17. Icm kasa karna hai question 1024 sath ma solve karna hai

    Prime factorization: 1024 = 2^(10). To find the LCM, provide the other number(s) to compare the highest powers of all prime factors.

  18. Lcm ka question 1024 kasa karna hai

    1024 = 2^(10)

  19. The radius is 6 m 6 m then what is diameter

    12 m

  20. Let f [0, ∞) → R be a continuous function satisfying the integral equation: f(x) = (1)/(1 + x²) - (2)/(1 + x²) ∫_0^(x) t f(t) dt for all x ≥ 0 (i) 1. Find an ex

    (i) f(x) = (1)/((1 + x²)²) (ii) Maximum value is 1 attained at x = 0 (iii) I = (π)/(4) (iv) A = (1)/(4) + (π)/(8)

  21. 1. Let S = p_1, p_2,, p_10 be the set of first ten prime numbers. Let A = S P, where P is the set of all possible products of distinct elements of S. Then the n

    5120

  22. Find the roots of the quadratic equation 6x² - 23x + 21 = 0 by factorisation.

    The roots of the quadratic equation are x = (3)/(2) and x = (7)/(3).

  23. Determine if there exists any pair of linear equations where one line passes through (a, b) and (c, d) while the other passes through (b, a) and (d, c), such th

    Yes, such a pair of linear equations exists if d + a = c + b or d + c = a + b.

  24. Find the values of x and y for the system: 7x - 15y = 2 and x + 2y = 3

    The solution to the system of equations is x = (49)/(29) and y = (19)/(29).

  25. Solve for x in terms of a and b: (1)/(a+b+x)=(1)/(a)+(1)/(b)+(1)/(x)(Where a, b, x ≠ 0 and a + b + x ≠ 0)

    x = -a or x = -b

  26. Solve for x: 2x² - 7x + 3 = 0. I am a class 10 student, please help me understand how to do it.

    The solutions for x are 3 and (1)/(2).

  27. A ball is thrown upward from the top of a 20-meter-high building. Its height h h in meters after t t seconds is given by: h ( t) = − 5 t 2 + 15 t + 20 h(t)=−5t

    The ball hits the ground after 4 seconds.

  28. A circle of 6 radius cm is inscribed in a square. Find the area of the shaded region.

    The area of the shaded region is (144 - 36π) cm².

  29. Date: / / A circle of radius 6 cm is inscribed in a square. Find the area of the shaded region.

    The area of the shaded region is (144 - 36π) square cm.

  30. What is the probablity of landing two 6s on 2 die rolled 26 times?

    The probability of landing two 6s on 2 die is (1)/(36). The number of times the dice are rolled (26 times) does not affect the probability of this event in a si

  31. 3X+4Y=36. If X= 2. what is Y?

    The value of Y is 7.5.

  32. a circle has radius 3cm. what is the circumference?

    The circumference of the circle is 6π cm.

  33. Find k if the sum of the zeroes of x² - (k + 6)x + 2(2k + 1) is half of their product.

    The value of k is 5.

  34. If 6x + 08y = 43 and x = 5 what is the value of y?

    y = (13)/(8)

  35. If 5x + 08y = 42 and x = 4 what is the value of y?

    y = (11)/(4)

  36. If 4x + 08y = 41 and x = 3 what is the value of y?

    The value of y is (29)/(8).

  37. A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground making an angle of 30 degrees with it. The distance betwee

    The height of the tree is 8√3 meters.

  38. Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by the point (-1, 6).

    The line segment is divided in the ratio 2:7.

  39. The perimeters of two similar triangles ABC and PQR are 32 cm and 24 cm respectively. If PQ = 12 cm, find AB.

    AB = 16 cm

  40. 3X+4Y = 67. If X= 3. What is Y?

    Y = (29)/(2) or Y = 14.5

  41. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the minor segment. Use pi = 3.14.

    The area of the minor segment is 28.5 cm².

  42. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

    The length of the chord of the larger circle which touches the smaller circle is 8 cm.

  43. Find a point on the y-axis that is at the same distance from the points (-5, 2) and (9, -2).

    The point on the y -axis equidistant from (-5, 2) and (9, -2) is (0, -7).

  44. In Δ ABC, line DE BC. If AD = 3x - 2, AE = 5x - 4, BD = 7x - 5 and CE = 5x - 3 find the value of x using the Basic Proportionality Theorem (BPT). The solution y

    The value of x is 1.

  45. Find the coordinates of the point which divides the line segment joining (4, -3) and (8, 5) in the ratio 3:1 internally.

    The coordinates of the point are (7, 3).

  46. Find the area of a sector of a circle with radius 4 cm and of angle 30 degrees. Also, find the area of the corresponding major sector. Use pi = 3.14.

    The area of the minor sector is 4.19 cm² and the area of the major sector is 46.05 cm².

  47. In triangle ABC, DE is parallel to BC. If AD = 1.5 cm, DB = 3 cm and AE = 1 cm, find EC.

    The length of EC is 2 cm.

  48. From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60 degrees and the angle of depression of its foot is 45 degrees. Det

    The height of the tower is 7(1 + √3) m.

  49. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Find the length of PQ.

    The length of PQ is √119 cm.

  50. From an external point P, two tangents PA and PB are drawn to a circle with centre O. If angle APB = 70 degrees, find angle AOB.

    The measure of AOB is 110^°.

  51. If PA and PB are tangents from an external point P to a circle with centre O such that APB = 70^°, find AOB

    The measure of AOB is 110^°.

  52. A circle has radius 9 cm. Find its circumference and area. (ref ushj9)

    The circumference of the circle is 18π cm and its area is 81π cm².

  53. The radius of a circle is 6 cm. What is its circumference and area?

    The circumference of the circle is 12π cm and the area is 36π cm².

  54. The angle of elevation of the top of a building from a point on the ground is 30 degrees. On walking 20 m towards the building the angle becomes 60 degrees. Fin

    The height of the building is 10√3 m.

  55. Prove that the sum of the two acute angles of a right-angled triangle is 90 degrees.

    The sum of the two acute angles of a right-angled triangle is 90^°.

  56. A stadium has 48,750 seats. During a concert 3/5 of the seats were filled in the first hour, and another 6,200 people entered in the second hour. How many seats

    13,300 seats remained empty after the second hour.

  57. Evaluate: sin 30 degrees times cos 60 degrees + cos 30 degrees times sin 60 degrees.

    1

  58. Find the area of a triangle whose sides are 13 cm, 14 cm and 15 cm, using Heron's formula.

    The area of the triangle is 84 cm².

  59. Rationalise the denominator: 1/(sqrt(5) - sqrt(3)).

    (√5 + √3)/(2)

  60. Find the compound interest on Rs 10,000 at 10% per annum for 2 years, compounded annually.

    The compound interest is Rs 2,100.

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