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IPMAT Indore 2023 Quantitative Ability Mock Tests & Questions

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IPMAT Indore 2023

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180 min · 90 questions · 360 marks

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IPMAT Indore 2023 1 section

Quantitative Ability

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90 min · 45 questions · 180 marks

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Questions

Showing 45 of 45 matching questions

BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
Vinita drives a car which has four gears. The speed of the car in the fourth gear is five times its speed in the first gear. The car takes twice the time to travel a certain distance in the second gear as compared to the…
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
If three consecutive coefficients in the expansion of \((x + y)^n\) are in the ratio 1:9:63, then the value of n is ______.
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
The total number of positive integer solutions of \(21 \le a + b + c \le 25\) is ______.
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
The product of the roots of the equation \(\log_2 2^{(\log_2 x)^2} - 5\log_2 x + 6 = 0\) is ______.
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
If f(1) = 1 and f(n) = 3n - f(n - 1) for all integers n > 1, then the value of f(2023) is ______.
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
If \(f(n) = 1 + 2 + 3 + \cdots + (n+1)\) and \(g(n) = \sum_{k=1}^{n} \frac{1}{f(k)}\), then the least value of n for which g(n) exceeds the value \(\frac{99}{100}\) is ______.
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
The polynomial \(4x^{10} - x^9 + 3x^8 - 5x^7 + cx^6 + 2x^5 - x^4 + x^3 - 4x^2 + 6x - 2\) when divided by x - 1 leaves a remainder 2. Then the value of c + 6 is ______.
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
The remainder when \(1! + 2! + 3! + \cdots + 95!\) is divided by 15 is ______.
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
Let a, b, c, d be positive integers such that a + b + c + d = 2023. If a : b = 2 : 5 and c : d = 5 : 2 then the maximum possible value of a + c is ______.
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
In the xy-plane let A = (-2,0), B = (2,0). Define the set S as the collection of all points C on the circle \(x^2 + y^2 = 4\) such that the area of the triangle ABC is an integer. The number of points in the set S is ___…
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
Amisha can complete a particular task in twenty days. After working for four days she fell sick for four days and resumed the work on the ninth day but with half of her original work rate. She completed the task in anoth…
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
In an election with only two contesting candidates, 15% of the voters did not turn up to vote, and 50 voters cast invalid votes. It is known that 44% of all the voters in the voting list voted for the winner. If the winn…
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
Assume it is the beginning of the year today. Ankita will earn INR 10,000 at the end of the year, which she plans to invest in a bank deposit immediately at a fixed simple interest of 0.5% per annum. Her yearly income wi…
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
In a chess tournament, there are four groups, each containing an equal number of players. Each player plays - against every other player belonging to one's own group exactly once; - against each player belonging to one o…
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BBA IPMAT Indore 2023 Quantitative Ability Medium NAT (Numeric)
The length of the line segment joining the two intersection points of the curves \(y = 4970 - |x|\) and \(y = x^2\) is ______.
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
If a three-digit number is chosen at random, what is the probability that it is divisible neither by 3 nor by 4?
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
A goldsmith bought a large solid golden ball at INR 1,000,000 and melted it to make a certain number of solid spherical beads such that the radius of each bead was one-fifth of the radius of the original ball. Assume tha…
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Let a, b, c be real numbers greater than 1, and n be a positive real number not equal to 1. If \(\log_n(\log_2 a) = 1\), \(\log_n(\log_2 b) = 2\) and \(\log_n(\log_2 c) = 3\), then which of the following is true?
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
If the harmonic mean of the roots of the equation \((5 + \sqrt{2})x^2 - bx + 8 + 2\sqrt{5} = 0\) is 4 then the value of b is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Consider an 8 x 8 chessboard. The number of ways 8 rooks can be placed on the board such that no two rooks are in the same row and no two are in the same column is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
The set of all real values of x satisfying the inequality \(\frac{x^2(x+1)}{(x-1)(2x+1)^3} > 0\) is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
If \(A = \begin{bmatrix}1 & 2\\ 3 & a\end{bmatrix}\) where a is a real number and \(\det(A^3 - 3A^2 - 5A) = 0\) then one of the values of a can be
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
If the difference between compound interest and simple interest for a certain amount of money invested for 3 years at an annual interest rate of 10% is INR 527, then the amount invested in INR is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
In a group of 120 students, 80 students are from the Science stream and the rest are from the Commerce stream. It is known that 70 students support Mumbai Indians in the Indian Premier League; all the other students supp…
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
The minimum number of times a fair coin must be tossed so that the probability of getting at least one head exceeds 0.8 is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
A polynomial P(x) leaves a remainder 2 when divided by (x - 1) and a remainder 1 when divided by (x - 2). The remainder when P(x) is divided by (x - 1)(x - 2) is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Let [x] denote the greatest integer not exceeding x and \(\{x\} = x - [x]\). If n is a natural number, then the sum of all values of x satisfying the equation \(2[x] = x + n\{x\}\) is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
If \(\frac{a+b}{b+c} = \frac{c+d}{d+a}\), which of the following statements is always true?
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
If \(\log_{\cos x}(\sin x) + \log_{\sin x}(\cos x) = 2\), then the value of x is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
A helicopter flies along the sides of a square field of side length 100 kms. The first side is covered at a speed of 100 kmph, and for each subsequent side the speed is increased by 100 kmph till it covers all the sides.…
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
In a triangle ABC, let D be the mid-point of BC, and AM be the altitude on BC. If the lengths of AB, BC and CA are in the ratio of 2:4:3, then the ratio of the lengths of BM and AD would be
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
In a chess tournament there are 5 contestants. Each player plays against all the others exactly once. No game results in a draw. The winner in a game gets one point and the loser gets zero point. Which of the following s…
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
A rabbit is sitting at the base of a staircase which has 10 steps. It proceeds to the top of the staircase by climbing either one step at a time or two steps at a time. The number of ways it can reach the top is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Let \(a_1, a_2, a_3\) be three distinct real numbers in geometric progression. If the equations \(a_1x^2 + 2a_2x + a_3 = 0\) and \(b_1x^2 + 2b_2x + b_3 = 0\) have a common root, then which of the following is necessarily…
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Which of the following straight lines are both tangent to the circle \(x^2 + y^2 - 6x + 4y - 12 = 0\)
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
A person standing at the center of an open ground first walks 32 meters towards the east, takes a right turn and walks 16 meters, takes another right turn and walks 8 meters, and so on. How far will the person be from th…
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
The equation \(x^2 + y^2 - 2x - 4y + 5 = 0\) represents
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
If \(\cos\alpha + \cos\beta = 1\), then the maximum value of \(\sin\alpha - \sin\beta\) is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Let p be a positive integer such that the unit digit of \(p^3\) is 4. What are the possible unit digits of \((p+3)^3\)?
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
The probability that a randomly chosen positive divisor of \(10^{2023}\) is an integer multiple of \(10^{2001}\) is
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Organism R can be treated with
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Drug E works on
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
The organism(s) that can be treated with three of these five drugs is(are)
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Drug D works on
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BBA IPMAT Indore 2023 Quantitative Ability Medium MCQ (Single Correct)
Organism P can be treated with
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