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IPMAT Indore 2025 Mock Tests & Questions

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IPMAT Indore 2025

Free

178 min · 89 questions · 356 marks

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Section-wise tests

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IPMAT Indore 2025 2 sections

Quantitative Ability

Free

88 min · 44 questions · 176 marks

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Verbal Ability

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90 min · 45 questions · 180 marks

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Questions

Showing 50 of 89 matching questions

BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
If the polynomial \(ax^2 + bx + 5\) leaves a remainder 3 when divided by \(x - 1\), and a remainder 2 when divided by \(x + 1\), then \(2b - 4a\) equals _____________.
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
English exam and Math exam were conducted separately for a class of 120 students. The number of students who did not appear for the English exam is twice the number of students who did not appear for the Math exam. The n…
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
The number of factors of \(3^5 \times 5^8 \times 7^2\) that are perfect squares is ____________.
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
Five teams – A, B, C, D and E – each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. Howe…
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
Five teams – A, B, C, D and E – each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. Howe…
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
If \(A = \begin{bmatrix} 2 & n \\ 4 & 1 \end{bmatrix}\) such that \(A^3 = 27 \begin{bmatrix} 4 & q \\ p & r \end{bmatrix}\), then \(p + q + r\) equals ______________ .
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
Eight teams take part in a tournament where each team plays against every other team exactly once. In a particular year, one team got suspended after playing 3 matches, due to a disciplinary issue. The organizers decide…
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
Five teams – A, B, C, D and E – each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. Howe…
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
If \(\log_3 (x^2 - 1)\), \(\log_3 (2x^2 + 1)\) and \(\log_3 (6x^2 + 3)\) are the first three terms of an arithmetic progression, then the sum of the next three terms of the progression is _______________.
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
If m and n are two positive integers such that 7m + 11n = 200, then the minimum possible value of m + n is _________.
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
If a, b, c are three distinct natural number, all less than 100, such that |a - b| + |b - c| = |c - a|, then the maximum possible value of b is______________.
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
A circle of radius 13 cm touches the adjacent sides AB and BC of a square ABCD at M and N, respectively. If AB = 18 cm and the circle intersects the other two sides CD and DA at P and Q, respectively, then the area, in s…
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
If the sum of the first 21 terms of the sequence \(\ln\frac{a}{b}\), \(\ln\frac{a}{b\sqrt{b}}\), \(\ln\frac{a}{b^2}\), \(\ln\frac{a}{b^2\sqrt{b}}\), ....... is \(\ln\frac{a^m}{b^n}\), then the value of m + n is _________…
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BBA IPMAT Indore 2025 Quantitative Ability Medium NAT (Numeric)
Monica, who is 18 years old, is one-third the age of her father. The age at which she will be half the age of her father is ______
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Anindita invests a total of 1 lakh rupees distributed across three schemes A, B and C for a period of two years. These schemes offer an interest rate of 10%, 8% and 12% per annum, respectively, each compounded annually.…
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Let \(S_1 = \{100, 105, 110, 115, \ldots\}\) and \(S_2 = \{100, 95, 90, 85, \ldots\}\) be two series in arithmetic progression. If \(a_k\) and \(b_k\) are the \(k\)-th terms of \(S_1\) and \(S_2\), respectively, then…
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
If \(8x^2 - 2kx + k = 0\) is a quadratic equation in \(x\), such that one of its roots is \(p\) times the other, and \(p, k\) are positive real numbers, then \(k\) equals
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Let \(P(x)\) be a quadratic polynomial such that \(\begin{vmatrix} P(0) & P(1) \\ P(0) & P(2) \end{vmatrix} = 0\). Let \(P(0) = 2\) and \(P(1) + P(2) + P(3) = 14\). Then \(P(4)\) equals
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
If \(\log_{25}\left[5\log_3\left(1+\log_3\left(1+2\log_2 x\right)\right)\right] = \frac{1}{2}\) then \(x\) is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
The area of the triangle, formed by the straight lines \(y = 0\), \(12x - 5y = 0\), and \(3x + 4y = 7\), is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Consider a triangle with side lengths 4 meters, 6 meters, and 9 meters. A dog runs around the triangle in such a way that the shortest distance of the dog from the triangle is exactly 1 meter. The total distance covered…
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Given that \(1 + \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \cdots = \frac{\pi^2}{6}\), the value of \(1 + \frac{1}{3^2} + \frac{1}{5^2} + \frac{1}{7^2} + \cdots\) is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Two swimmers, Ankit and Bipul, start swimming from the opposite ends of a swimming pool at the same time. Ankit can cover the length of the pool once in 10 minutes. Bipul can cover the length of the pool once in 15 minut…
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
If \(a_1, a_2, \ldots, a_8\) are the roots of the equation \(x^8 + x^7 + \cdots + x + 1 = 0\), then the value of \(a_1^{2025} + a_2^{2025} + \cdots + a_8^{2025}\) is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Which of the following numbers is divisible by \(3^{10} + 2\) ?
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
A circle touches the \(y\)-axis at \((0,4)\) and passes through the point \((-2,0)\). Then the radius of the circle is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
If \(y = a + b\log_e x\) then which of the following is true?
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Let \(A(1,3)\) and \(B(5,1)\) be two points. If a line with slope \(m\) intersects AB at an angle of \(45^\circ\), then the possible values of \(m\) are
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
The number of integers greater than 5000 and divisible by 5 that can be formed with the digits 1, 3, 5, 7, 8, 9 where no digit is repeated is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Area of a regular octagon inscribed in a circle of radius 1 unit is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
The sum of the first 5 terms of a geometric progression is the same as the sum of the first 7 terms of the same progression. If the sum of the first 9 terms is 24, then the \(4^{th}\) term of the progression is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
The remainder when \(11^{1011} + 1011^{11}\) is divided by 9 is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
The set of all values of \(x\) satisfying the inequality \(\log_{\left(x+\frac{1}{x}\right)}\left[\log_2\left(\frac{x-1}{x+2}\right)\right] > 0\) is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Let \(f(x) = a^2x^2 + 2bx + c\) where, \(a \neq 0\), \(b, c\) are real numbers and \(x\) is a real variable then
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
A natural number n lies between 100 and 400, and the sum of its digits is 10. The probability that n is divisible by 4, is ________________
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
In triangle \(ABC\), \(AB = AC = x\), \(\angle ABC = \theta\) and the circumradius is equal to \(y\). Then \(\frac{x}{y}\) equals
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Let A and B be two finite sets such that \(n(A - B)\), \(n(A \cap B)\), \(n(B - A)\) are in an arithmetic progression. Here \(n(X)\) denotes the number of elements in a finite set \(X\). If \(n(A \cup B) = 18\), then…
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Suppose \(a, b\) and \(c\) are three real numbers such that \(\text{Max}(a,b,c) + \text{Min}(a,b,c) = 15\), and \(\text{Median}(a,b,c) - \text{Mean}(a,b,c) = 2\). Then the median of \(a, b\) and \(c\) is
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
A and B take part in a rifle shooting match. The probability of A hitting the target is 0.4, while the probability of B hitting the target is 0.6. If A has the first shot, post which both strike alternately, then the pro…
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
By what percentage the net sales for June increased as compared to May in the Footwear category?
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Among the following four months, for which month the value of the Footwear returned (in lakhs of rupees) was the highest?
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Which month had highest percentage decline in monthly sales as compared to previous month for the Apparel category?
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
For which categories the value of the products returned (as a percentage of sales) increased for three consecutive months?
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BBA IPMAT Indore 2025 Quantitative Ability Medium MCQ (Single Correct)
Among the following four months, for which month the contribution of the Apparel category in the total monthly sales was the highest?
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BBA IPMAT Indore 2025 Verbal Ability Medium MCQ (Single Correct)
The writer implies that
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BBA IPMAT Indore 2025 Verbal Ability Medium MCQ (Single Correct)
The writer argues that social media
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BBA IPMAT Indore 2025 Verbal Ability Medium MCQ (Single Correct)
Technologies are enabling social media to
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BBA IPMAT Indore 2025 Verbal Ability Medium MCQ (Single Correct)
Social media has succeeded in
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BBA IPMAT Indore 2025 Verbal Ability Medium MCQ (Single Correct)
The writer’s conclusion is that information available on social media is linked to
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BBA IPMAT Indore 2025 Verbal Ability Medium MCQ (Single Correct)
The inherent downside associated with social media is that it
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