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IPMAT Indore 2026 Mock Tests & Questions

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IPMAT Indore 2026

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180 min · 90 questions · 360 marks

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IPMAT Indore 2026 2 sections

Quantitative Ability

Free

90 min · 45 questions · 180 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 90 matching questions

BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
Let ABCD be a cyclic quadrilateral with \(AB = 15\), \(BC = 20\), \(CD = 24\) and \(AC = 25\). Then \(AD\) equals _________
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
A man starts walking from point A to point B at 4 km/hr. After 30 minutes, a woman starts from point A at 6 km/hr. If the woman reaches point B 20 minutes earlier than the man, then the distance between A and B in km is…
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
If \(x, y\) are real numbers and equations \(x^2 - 12x + 35 = 0\) and \(x^2 + ax + 105 = 0\) have at least one common root, then the minimum possible value of \(y^2 + 4y - 5a\) is _________
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
Ram purchased 3 oranges at Rs. 20 each and 5 mangoes at Rs. 38 each and then sold them by offering discounts of 25% and 20% on the fixed marked prices of oranges and mangoes, respectively. If he earned a profit of 50% on…
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
The remainder when \(7^{103} + 7^{101}\) is divided by 9 is _____
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
In a company, initially the ratio of the foreign and domestic workers was 5 : 8. When some foreign and 12 domestic workers left the company, this ratio became 2 : 3. Later, when 10 more foreign workers were replaced by 1…
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
Let \(M = \begin{bmatrix} 1 & 1 & 1 \\ a & b & c \\ a^2 & b^2 & c^2 \end{bmatrix}\) where \(a\), \(b\) and \(c\) are real numbers such that \(a + b + c = 0\) and \(abc \neq 0\). If \(\det M = 0\), then the maximum possib…
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
Savitri borrowed 10000 rupees from a bank for a period of two years at a fixed interest rate of 10% per annum, compounded semi-annually, and paid back 5025 rupees at the end of first year. Then, the amount, in rupees, to…
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
The Celsius scale of temperature can be converted to Fahrenheit scale using the relationship \(F = 1.8C + 32\), where \(F\) and \(C\) are temperature recorded in degrees Fahrenheit and Celsius, respectively. Ajay noted d…
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
The number of ways in which a pair of friends can be chosen for a trip from those who like Adventure Sports is ____
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
The number of ways in which three distinct integers can be chosen from the set \(\{1, 2, \ldots, 9\}\) such that their product is divisible by 4, is _________
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
The number of friends who like both Shopping and Adventure Sports is ___
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
Let \(S\) denote an arithmetic progression whose first term is either 132 or 158, and the common difference is an even integer less than 10. If the \(n^{\text{th}}\) term of \(S\) is 174, then the number of possible dist…
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
The number of friends that like Countryside Sightseeing is ____
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BBA IPMAT Indore 2026 Quantitative Ability Medium NAT (Numeric)
If \(n\) is an integer such that \(\frac{|n+6| - |n-3|}{\sqrt{100 - n^3}} \geq 0\), then the number of possible values of \(n\) is _______
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
Two locations A and B are at diametrically opposite ends of a circular track. Rekha starts running along the track from location A in the clockwise direction. Sajal starts running simultaneously along the track in the an…
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
The number of integers \(n\) such that \(1 \leq n \leq 10^7\) and \(\gcd(n, 10^7) = 10^3\) is _____
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
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
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
Let ABCD be a rectangle with AB = 72 cm and BC = 30 cm. A circle passing through points A and C cuts the side AB at P such that AP = 56 cm. The radius, in cm, of the circle is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
If \(A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}\), then the determinant of \(A + A^2 + A^3 + \cdots + A^{13}\) is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
Let the circle \(x^2 + y^2 = 2ax + 2by\) intersect the \(x\)-axis at point \(A(\alpha, 0)\) and \(y\)-axis at point \(B(0, \beta)\), where \(\alpha\beta \neq 0\). If the point \(C(p, q)\) lies on the chord AB, then…
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
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
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
If \(x\) is a real number such that \(\max(\min(x, 2-x), x-4, 2x-8) = \pi - 3\), then the number of possible values of \(x\) is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
In a class, 25% of all students read news from the Internet. Moreover, 45% of all students read news from printed newspaper. Further, 20% of all students read news from both the Internet and printed newspaper and they do…
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
The equation \(2^x - x^2 = 0\) has
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
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, w…
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
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
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
The approximate value of the expression \(2\log_3 3n - \log_3 (n^2 + 1)\) for a sufficiently large \(n\) is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
A certain number of people contributed to a charity. The first person contributed one rupee. The rule for contribution was that the next person would contribute double the amount already raised. If the total money raised…
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
A person walks one lap along a circle at a speed \(v\). Thereafter, he runs one lap along the boundary of the largest square that can be inscribed in the circle at a speed \(3v\). The ratio of the time he walks to the ti…
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
A circle of non-zero radius has origin as its centre. If it passes through the point of intersection of two curves \(y^2 = 4ax\) and \(x^2 = 4ay\), then its equation is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
The possible values of \(x\) in the set \(\{1, 5, 13\}\) for which the mean of eight observations \(5, 8, 3x+2, 15, 27, 29, 36, 5x-2\) equals their median are
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
Positive reals \(x, y\) satisfy \(x \neq y\) and \(\frac{x^2 + y^2}{xy} = k\). If replacing \(x\) by \(x+y\) and \(y\) by \(|x-y|\) leaves the value of \(k\) unchanged, then \(k\) equals
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
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
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
If \(a\), \(b\), and \(c\) are three prime numbers such that \(abc = 23(a+b+c)\), then the maximum possible value of \(a+b-c\) is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
The number of integer solutions \((x, y)\) of the inequality \(x^2 + y^2 \leq 10\) is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
If \(\log_{18} 24 = p\), then \(\log_{96} 108\) equals
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
Let \(S = \{1, 2, \ldots, 180\}\). Define \(A\) as the set of all multiples of 4 in \(S\), \(B\) as the set of all multiples of 6 in \(S\), and \(C\) as the set of all multiples of 9 in \(S\). The number of elements in \…
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
If \(m\) is a positive integer then the values of \(k\) for which \(6m + k\) cannot be a perfect square are
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
A fair die is rolled repeatedly. The probability that the cumulative sum is at least 17 in the third trial is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
When one serving of each of the five items is included in the diet plan, the nutrient with the least percentage of MDR satisfied is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
If only \(x\) servings of Milk and \(y\) servings of Rice are included in the diet plan, then the minimum value of \(x + y\) that will satisfy the MDR of all three nutrients is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
The number of food items that can satisfy at least 15% of the MDR for at least two nutrients in one serving is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
The food item(s) that can satisfy at least half of the MDR for all the three nutrients using up to seven servings of that single item alone is
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BBA IPMAT Indore 2026 Quantitative Ability Medium MCQ (Single Correct)
If two servings of Milk are part of the daily diet plan, then the minimum number of servings of any other single item that can satisfy the MDR of all three nutrients is
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BBA IPMAT Indore 2026 Verbal Ability Medium MCQ (Single Correct)
The narrator observed that the two dogs, Pug and Gyp that belonged to the family
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BBA IPMAT Indore 2026 Verbal Ability Medium MCQ (Single Correct)
The cry of warning from a bird or animal
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BBA IPMAT Indore 2026 Verbal Ability Medium MCQ (Single Correct)
The author had observed the dogs' interchange of ideas several times and felt that they communicated
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BBA IPMAT Indore 2026 Verbal Ability Medium MCQ (Single Correct)
The war between the robins and the sparrows ended when
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BBA IPMAT Indore 2026 Verbal Ability Medium MCQ (Single Correct)
The term lingua franca refers to a language which
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