Q1:
IPMAT Indore 2020
Number System > HCF & LCM
Easy
In a division problem, the product of the quotient and the remainder is 24 while their sum is 10. If the divisor is 5 then the dividend is __________.
Correct Answer
34
Correct Answer
IPMAT Indore (SA) PYQs
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Q2:
IPMAT Indore 2020
Geometry > Circles
Medium
The shortest distance from the point $(-4,3)$ to the circle $(x^2 + y^2 = 1)$ is __________.
Correct Answer
4
Correct Answer
Q3:
IPMAT Indore 2020
Modern Math > Logarithms
Medium
The value of $(0.04^{log_{\sqrt{5}}(\frac{1}{4} + \frac{1}{8} + \frac{1}{16} + ...)})$ is __________.
Correct Answer
16
Correct Answer
Q4:
IPMAT Indore 2020
Modern Math > Matrices & Determinants
Hard
Suppose $\left|\begin{array}{lll}a & a^{2} & a^{3}-1 \\ b & b^{2} & b^{3}-1 \\ c & c^{2} & c^{3}-1\end{array}\right|=0$, where $\mathrm{a}, \mathrm{b}$ and $\mathrm{c}$ are distinct real numbers. If ${a}=3$, then the value of $abc$ is:
Correct Answer
1
Correct Answer
Q5:
IPMAT Indore 2020
Algebra > Modulus
Medium
The minimum value of $f(x)=|3-x|+|2+x|+|5-x|$ is equal to __________.
Correct Answer
7
Correct Answer
Q6:
IPMAT Indore 2020
Arithmetic > Ratio, Proportion & Variation
Easy
Ashok purchased pens and pencils in the ratio $2:3$ during his first visit and paid Rs. 86 to the shopkeeper. During his second visit, he purchased pens and pencils in the ratio $4:1$ and paid Rs. 112. The cost of a pen as well as a pencil in rupees is a positive integer. If Ashok purchased four pens during his second visit, then the amount he paid in rupees for the pens during the second visit is __________.
Correct Answer
100
Correct Answer
Q7:
IPMAT Indore 2020
Number System > Miscellaneous
Easy
In a four-digit number, the product of the thousands digit and units digit is zero while their difference is 7. Product of the middle digits is 18. The thousands digit is as much more than the units digit as the hundreds digit is more than the tens digit. The four-digit number is __________.
Correct Answer
7920
Correct Answer
Q8:
IPMAT Indore 2020
Modern Math > Set Theory
Medium
Out of 80 students who appeared for the school exams in Mathematics (M), Physics (P) and Chemistry (C), 50 passed M, 30 passed P and 40 passed C. At most 20 students passed M and P, at most 20 students passed P and C, and at most 20 students passed C and M. The maximum number of students who could have passed all three exams is __________.
Correct Answer
20
Correct Answer
Q9:
IPMAT Indore 2020
Arithmetic > Time, Speed & Distance
Medium
Two friends run a 3-kilometer race along a circular course of length 300 meters. If their speeds are in the ratio 3:2, the number of times the winner passes the other is __________.
Correct Answer
3
Correct Answer
Q10:
IPMAT Indore 2020
Modern Math > Permutation & Combination
Hard
Out of 13 objects, 4 are indistinguishable and the rest are distinct. The number of ways we can choose 4 objects out of 13 objects is __________.
Correct Answer
256
Correct Answer
IPMAT Indore SA - Past Year Questions
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