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IPMAT Indore Mock Tests & Questions

Take IPMAT Indore mock tests and practise its questions. Filter by year, section, type and difficulty — no sign-up needed.

IPMAT Indore mock tests by year

IPMAT Indore 2026

Free

180 min · 90 questions · 360 marks

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IPMAT Indore 2025

Free

178 min · 89 questions · 356 marks

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IPMAT Indore 2024

Free

178 min · 89 questions · 356 marks

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IPMAT Indore 2023

Free

180 min · 90 questions · 360 marks

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IPMAT Indore 2022

Free

178 min · 89 questions · 356 marks

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IPMAT Indore 2021

Free

116 min · 58 questions · 232 marks

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IPMAT Indore 2020

Free

120 min · 60 questions · 60 marks

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IPMAT Indore 2019

Free

198 min · 99 questions · 396 marks

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Section-wise tests

Take just one section of a year's paper, with its timer in proportion.

IPMAT Indore 2026 2 sections

Quantitative Ability

Free

90 min · 45 questions · 180 marks

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Verbal Ability

Free

90 min · 45 questions · 180 marks

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IPMAT Indore 2025 2 sections

Quantitative Ability

Free

88 min · 44 questions · 176 marks

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Verbal Ability

Free

90 min · 45 questions · 180 marks

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IPMAT Indore 2024 2 sections

Quantitative Ability

Free

88 min · 44 questions · 176 marks

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Verbal Ability

Free

90 min · 45 questions · 180 marks

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IPMAT Indore 2023 2 sections

Quantitative Ability

Free

90 min · 45 questions · 180 marks

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Verbal Ability

Free

90 min · 45 questions · 180 marks

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IPMAT Indore 2022 2 sections

Quantitative Ability

Free

88 min · 44 questions · 176 marks

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Verbal Ability

Free

90 min · 45 questions · 180 marks

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IPMAT Indore 2021 2 sections

Quantitative Ability

Free

58 min · 29 questions · 116 marks

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Verbal Ability

Free

58 min · 29 questions · 116 marks

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IPMAT Indore 2020 2 sections

Quantitative Ability

Free

60 min · 30 questions · 30 marks

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Verbal Ability

Free

60 min · 30 questions · 30 marks

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IPMAT Indore 2019 2 sections

Quantitative Ability

Free

120 min · 60 questions · 240 marks

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Verbal Ability

Free

78 min · 39 questions · 156 marks

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Questions

Showing 50 of 664 matching questions

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
+4.00 marks Take full test: IPMAT Indore Previous Year Question Bank →
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
+4.00 marks Take full test: IPMAT Indore Previous Year Question Bank →
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
+4.00 marks Take full test: IPMAT Indore Previous Year Question Bank →
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 .....
+4.00 marks Take full test: IPMAT Indore Previous Year Question Bank →
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
+4.00 marks Take full test: IPMAT Indore Previous Year Question Bank →
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
+4.00 marks Take full test: IPMAT Indore Previous Year Question Bank →
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
+4.00 marks Take full test: IPMAT Indore Previous Year Question Bank →
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
+4.00 marks Take full test: IPMAT Indore Previous Year Question Bank →
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
+4.00 marks Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
If the compound interest earned on a certain sum for 2 years is twice the amount of simple interest for 2 years, then the rate of interest per annum is _______ percent
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
The maximum value of the natural number n for which \(21^n\) divides 50! is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
The remainder when \((29^{29})^{29}\) is divided by 9 is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
Placing which of the following two digits at the right end of 4530 makes the resultant six digit number divisible by 6, 7 and 9?
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
In a school 70% of the boys like cricket and 50% like football. If x% like both Cricket and Football, then
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
In a class of 65 students 40 like cricket, 25 like football and 20 like hockey, 10 students like both cricket and football, 8 students like football and hockey and 5 students like all three sports. If all the students li…
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
If \(x \in (a, b)\) satisfies the inequality, \(\frac{x-3}{x^2+3x+2} \ge 1\), then the largest possible value of b - a is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
If a, b, c are real numbers \(a^2+b^2+c^2=1\), then the set of values \(ab+bc+ca\) can take is:
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
The inequality…
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BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
The set of values of x which satisfy the inequality…
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
A chord is drawn inside a circle, such that the length of the chord is equal to the radius of the circle. Now, two circles are drawn, one on each side of the chord, each touching the chord at its midpoint and the origina…
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
Points P, Q, R and S are taken on sides AB, BC, CD and DA of square ABCD respectively, so that AP : PB = BQ : QC = CR : RD = DS : SA = 1 : n. Then the ratio of the area of PQRS to the area of ABCD is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
On a circular path of radius 6 m a boy starts from a point A on the circumference and walks along a chord AB of length 3 m. He then walks along another chord BC of length 2 m to reach point C. The point B lies on the min…
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
The area enclosed by the curve \(2|x|+3|y|=6\) is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
Two points on a ground are 1 m apart. If a cow moves in the field in such a way that it's distance from the two points is always in ratio 3: 2 then
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
Given that \(\cos x+\cos y=1\), the range of \(\sin x-\sin y\) is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
If \(\sin\theta+\cos\theta=m\), then \(\sin^6\theta+\cos^6\theta\) equals
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
If inverse of the matrix \(\begin{bmatrix}2&-0.5\\-1&x\end{bmatrix}\) is \(\begin{bmatrix}1&1\\2&4\end{bmatrix}\), then the value of x is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
The function \(f(x)=\frac{x^3+5x^2-8x}{3}\) is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
For a > b > c > 0, the minimum value of the function \(f(x)=|x-a|+|x-b|+|x-c|\) is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
Let \(\alpha,\beta\) be the roots of \(x^2-x+p=0\) and \(\gamma,\delta\) be the roots of \(x^2-4x+q=0\) where p and q are integers. If \(\alpha,\beta,\gamma,\delta\) are in geometric progression then p + q is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
If \((1+x-2x^2)^6=A_0+\sum_{r=1}^{12}A_rx^r\), then value of \(A_2+A_4+A_6+\cdots+A_{12}\) is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
The number of terms common to both the arithmetic progressions 2, 5, 8, 11, ...., 179 and 3, 5, 7, 9, ....., 101 is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
From a pack of 52 cards, we draw one by one, without replacement. If f(n) is the probability that an Ace will appear at the nth turn, then
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
A die is thrown three times and the sum of the three numbers is found to be 15. The probability that the first throw was a four is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
In a given village there are only three sizes of families: families with 2 members, families with 4 members and families with 6 members. The proportion of families with 2, 4 and 6 members are roughly equal. A poll is con…
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
The value of \((\log_3 30)^{-1}+(\log_4 900)^{-1}+(\log_5 30)^{-1}\) is
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
The inequality…
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
Three cubes with integer edge lengths are given. It is known that the sum of their surface areas is 564 \(cm^2\). Then the possible values of the sum of their volumes are________
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →
BBA IPMAT Indore 2019 Quantitative Ability Medium MCQ (Single Correct)
Determine the greatest number among the following four numbers
+4.00 marks · -1.00 negative Take full test: IPMAT Indore Previous Year Question Bank →