IPMAT Indore 2019 QA Questions with Solutions

BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

The sum of the interior angles of a convex n-sided polygon is less than \(2019^\circ\). The maximum possible value of n is

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

Suppose that a, b, and c are real numbers greater than 1. Then the value of \(\frac{1}{1+\log_{a^2 b}\frac{c}{a}}+\frac{1}{1+\log_{b^2 c}\frac{a}{b}}+\frac{1}{1+\log_{c^2 a}\frac{b}{c}}\) is

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

A real-valued function f satisfies the relation \(f(x)\,f(y) = f(2xy+3) + 3f(x+y) - 3f(y) + 6y\), for all real numbers x and y, then the value of f(8) is

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

Let A, B, C be three \(4\times 4\) matrices such that det A = 5, det B = -3, and det C = \(\frac{1}{2}\). Then the det \((2AB^{-1}C^{3}B^{T})\) is .....

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

If A is a \(3\times 3\) non-zero matrix such that \(A^2 = 0\) then determinant of \([(1+A)^2 - 50A]\) is equal to

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

Three friends divided some apples in the ratio 3 : 5 : 7 among themselves. After consuming 16 apples they found that the remaining number of apples with them was equal to largest number of apples received by one of them…

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

A shopkeeper reduces the price of a pen by 25% as a result of which the sales quantity increased by 20%. If the revenue made by the shopkeeper decreases by x%, then x is...

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

For all real values of x, \(\frac{3x^2-6x+12}{x^2+2x+4}\) lies between 1 and k, and does not take any value above k. Then k equals............

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

The maximum distance between the point (-5, 0) and a point on the circle \(X^2 + Y^2 = 4\) is......

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

If x, y, z are positive real numbers such that \(x^{12} = y^{16} = z^{24}\), and the three quantities \(3\log_y x\), \(4\log_z y\), \(n\log_x z\) are in arithmetic progression, then the value of n is

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

The number of pairs (x, y) satisfying the equation \(\sin x+\sin y=\sin(x+y)\) and \(|x|+|y|=1\) is

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

The circle \(x^2+y^2-6x-10y+k=0\) does not touch or intersect the coordinate axes. If the point (1, 4) does not lie outside the circle, and the range of k is [a, b] then a + b is____

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

If a \(3\times 3\) matrix is filled with +1's and -1's such that the sum of each row and column of the matrix is 1, then the absolute value of its determinant is...

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

Let the set \(P = \{2, 3, 4, \ldots, 25\}\). For each \(k \in P\), define \(Q(k)=\{x\in P \text{ such that } x>k \text{ and } k \text{ divides } x\}\). Then the number of elements in the set \(P-\bigcup_{k=2}^{25}Q(k)\)…

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

The number of whole metallic tiles that can be produced by melting and recasting a circular metallic plate, if each of the tiles has a shape of a right-angled isosceles triangle and the circular plate has a radius equal…

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

If \(|x| < 100\) and \(|y| < 100\), then the number of integer solutions of (x, y) satisfying the equation \(4x + 7y = 3\) is

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

The average of five distinct integers is 110 and the smallest number among them is 100. The maximum possible value of the largest integer is

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

Assume that all positive integers are written down consecutively from left to right as in 1234567891011...... The \(6389^{th}\) digit in this sequence is...

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

The number of pairs of integers whose sums are equal to their products is

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BBA IPMAT Indore 2019 Quantitative Ability Medium NAT (Numeric)

You have been asked to select a positive integer N which is less than 1000, such that it is either a multiple of 4, or a multiple of 6, or an odd multiple of 9. The number of such numbers is

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