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IPMAT Indore 2022 Quantitative Ability Mock Tests & Questions

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IPMAT Indore 2022

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178 min · 89 questions · 356 marks

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IPMAT Indore 2022 1 section

Quantitative Ability

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88 min · 44 questions · 176 marks

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Questions

Showing 44 of 44 matching questions

BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
The 3rd, 14th and 69th terms of an arithmetic progression form three distinct and consecutive terms of a geometric progression. If the next terms of the geometric progression is the nth term of the arithmetic progression…
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
The area enclosed by \(2|x| + 3|y| \le 6\) is ____________ sq. units.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
The number of triangles that can be formed by choosing points from 7 points on a line and 5 points on another parallel line is _________.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
If \(\sin\alpha + \sin\beta = \frac{\sqrt{2}}{\sqrt{3}}\) and \(\cos\alpha + \cos\beta = \frac{1}{\sqrt{3}}\), then the value of \(\left(20\cos\left(\frac{\alpha-\beta}{2}\right)\right)^2\) is.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
The sum of the coefficients of all the terms in the expansion of \((5x - 9)^4\) is __________.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
Aruna purchases a certain number of apples for INR 20 each and a certain number of mangoes for INR 25 each. If she sells all the apples at 10% profit and all the mangoes at 20% loss, overall she makes neither profit nor…
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
If \(\log_{x^2} y + \log_{y^2} x = 1\) and \(y = x^2 - 30\). Then the value of \(x^2 + y^2\) is ___________.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
Let P(X) denote power set of a set X. If A is the null set, then the number of elements in P(P(P(P(A)))) is _____________.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
A new sequence is obtained from the sequence of positive integers (1, 2, 3, ...) by deleting all the perfect squares. Then the 2022nd term of the new sequence is ___________.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
If \(A=\begin{bmatrix}1&0&0\\0&0&1\\0&1&0\end{bmatrix}\), then the absolute value of the determinant of \((A^0 + A^6 + A^3 + A)\) is ____________.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
The numbers \(-16,\ 2^{x+3}-2^{2x-1}-16,\ 2^{2x-1}+16\) are in an arithmetic progression. Then x equals _________.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
Given that \(f(x) = |x| + 2|x - 1| + |x - 2| + |x - 4| + |x - 6| + 2|x - 10|\), \(x \in (-\infty, \infty)\), the minimum value of \(f(x)\) is _________.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
When Geeta increases her speed from 12 km/hr to 20 km/hr, she takes one hour less than the usual time to cover the distance between her home and office. The distance between her home and office is ________ km.
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
Let 50 distinct positive integers be chosen such that the highest among them is 100, and the average of the largest 25 integers among them exceeds the average of the remaining integers by 50. Then the maximum possible va…
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BBA IPMAT Indore 2022 Quantitative Ability Medium NAT (Numeric)
Mrs and Mr Sharma and Mrs and Mr Ahuja along with four other persons are to be seated at a round table for dinner. If Mrs and Mr Sharma are to be seated next to each other, and Mrs and Mr Ahuja are not to be seated next…
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The sum of the squares of all the roots of the equation \(x^2 + |x + 4| + |x - 4| - 35 = 0\) is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
Let \(A = \{1, 2, 3\}\) and \(B = \{a, b\}\). Assuming all relations from set A to set B are equally likely, what is the probability that a relation from A to B is also a function?
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
If the five-digit number abcde is divisible by 6, then which of the following numbers is not necessarily divisible by 6?
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The set of real values of x for which the inequality \(\log_{27} 8 \le \log_3 x < 9^{\frac{1}{\log_2 3}}\) holds
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
Suppose a, b and c are integers such that \(a > b > c > 0\), and \(A=\begin{bmatrix}a&b&c\\b&c&a\\c&a&b\end{bmatrix}\). Then the value of the determinant of A
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The lengths of the sides of a triangle are x, 21 and 40, where x is the shortest side. A possible value of x is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The sum of the first 15 terms in an arithmetic progression is 200, while the sum of the next 15 terms is 350. Then the common difference is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The cost of a piece of jewellery is proportional to the square of its weight. A piece of jewellery weighing 10 grams is INR 3600. The cost of a piece of jewellery of the same kind weighing 4 grams is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
When the square of the difference of two natural numbers is subtracted from the square of the sum of the same two numbers and the result is divided by four, we get
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
In a 400-metre race, Ashok beats Bipin and Chandan respectively by 15 seconds and 25 seconds. If Ashok beats Bipin by 150 metres, by how many metres does Bipin beat Chandan in the race?
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The set of all possible values of f(x) for which \((81)^x + (81)^{f(x)} = 3\) is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
Let A and B be two sets such that the Cartesian product \(A \times B\) consists of four elements. If two elements of \(A \times B\) are (1, 4) and (4, 1), then
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
In a right-angled triangle ABC, the hypotenuse AC is of length 13 cm. A line drawn connecting the midpoints D and E of sides AB and AC is found to be 6 cm in length. The length of BC is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
In a bowl containing 60 ml orange juice, 40 ml of water is poured. Thereafter, 100 ml of apple juice is poured to make a fruit punch. Madhu drinks 50 ml of this fruit punch and comments that the proportion of orange juic…
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
In a room, there are n persons whose average height is 160 cm. If m more persons, whose average height is 172 cm, enter the room, then the average height of all persons in the room becomes 164 cm. Then m : n is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
For \(0 < \theta < \frac{\pi}{4}\), let \(a = ((\sin\theta)^{\sin\theta})(\log_2 \cos\theta)\), \(b = ((\cos\theta)^{\sin\theta})(\log_2 \sin\theta)\), \(c = ((\sin\theta)^{\cos\theta})(\log_2 \cos\theta)\) and…
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
If \(f(x^2 + f(y)) = xf(x) + y\) for all non-negative integers x and y, then the value of \([f(0)]^2 + f(0)\) equals ________.
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The curve represented by the equation \(\frac{x^2}{\sin\sqrt{2}-\sin\sqrt{3}}+\frac{y^2}{\cos\sqrt{2}-\cos\sqrt{3}}=1\)
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The number of four-digit integers which are greater than 1000 and divisible by both 2 and 3, but not by 5, is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
Ayesha is standing atop a vertical tower 200m high and observes a car moving away from the tower on a straight horizontal road from the foot of the tower. At 11:00 AM, she observes the angle of depression of the car to b…
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
If one of the factors of the number \(3^7\, 2^8\, 17^3\) is randomly chosen, then the probability that the chosen factor will be a perfect square is.
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The value of k for which the following lines x-y-1 = 0 2x+3y-12 = 0 2x-3y+k = 0 are concurrent is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
A set of all possible values the function \(f(x)=\frac{x}{|x|}\), where \(x \ne 0\), takes is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
In how many ways can the letters of the word MANAGEMENT be arranged such that no two vowels appear together?
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
Number of days Bhabha and Cathy work together in a week is
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
The consecutive days on which Ethan works are
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
Which among the following employees do not work together on any of the days?
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
Employees who work on Sunday are
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BBA IPMAT Indore 2022 Quantitative Ability Medium MCQ (Single Correct)
One of the days Alex works on is
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