IPMAT indore 2024 Complete Paper Solution

The angle of elevation of the top of a pole from a point A on the ground is 30°. The angle of elevation changes to 45° after moving 20 meters towards the base of the pole. Then the height of the pole, in meters is

The number of factors of 1800 that are multiple of 6 is___

If |x + 1| + (y + 2)² = 0 and ax - 3ay = 1, then the value of a is

A fruit seller has oranges, apples and bananas in the ratio of 3 : 6 : 7. If the number of oranges is a multiple of 5 and 6, then the minimum number of fruits the seller has is___

In a group of 150 students, 52 like tea, 48 like juice and 62 like coffee. If each student in the group likes one among tea, juice and coffee, then the maximum number of  students that like more than one drink is ___

If log₄x = a and log₂₅x = b, then log_x10 is

Let ABC be an equilateral triangle, with each side of length k. If a circle is drawn with diameter AB, then the area of the portion of the triangle lying inside the circle is

The price of a chocolate is increased by x% and then reduced by x%. The new price is 96.76% of the original price. Then x is ___

Person A borrows Rs. 4000 from another person B for a duration of 4 years. He  borrows a portion of it at 3% simple interest per annum, while the rest at 4% simple interest per annum. If B gets Rs. 520 as total interest, then the amount A borrowed at 3% per annum in Rs. is ___

Let ABC be a triangle with AB = AC and D be a point on BC such that ∠BAD = 30°. If E is a point on AC such that AD = AE, then ∠CDE equals