Practice IPMAT Indore 2026 Quantitative Ability (MCQ) PYQs

Painter A can paint a building in 12 days while Painter B can paint it in 16 days. If A and B work on alternate days, and A starts the work on the first day, then the number of days required to paint the building is

Gita starts from point A and walks 1000 m east. She then walks 800 m north, followed by 640 m west and 512 m south, reaching point B. After this, she continues moving in the same cyclic order: east, north, west, south, with each successive movement 20% shorter than the previous one. After infinitely many such moves, approximately how far in meters will Gita be from her starting point A?

The number of ways in which coins of denominations of rupees 2, 5 and, 10 can be combined to make a value of rupees 50 is

Let ABCD be a rectangle with \(AB = 72\text{ cm}\) and \(BC = 30\text{ cm}.\) A circle passing through points A and C cuts the side AB at P such that \(\text{AP} = 56\text{ cm}.\) The radius, in cm, of the circle is

The equation \(2^x - x^2 = 0\) has

Three dice are thrown simultaneously and the sum of the three numbers appearing on the top faces of the dice is found to be 10. The probability that these three numbers are distinct, is

The number of values \(a\) can take such that \(x^4 + ax^3 + (3a - 4)x^2\) \({}+ 2(a - 1)x - 4\) can be expressed as a product of two quadratic polynomials, \(x^2 + px + 2\) and \(x^2 + qx - 2\), where \(p\) and \(q\) are real, is

If \(\log_{18} 24 = p\), then \(\log_{96} 108\) equals

The number of integer solutions \((x, y)\) of the inequality \(x^2 + y^2 \leq 10\) is

If \(A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}\), then the determinant of \(A + A^2 + A^3 + \cdots\) \({}+ A^{13}\) is