IPMAT Indore 2025 (MCQ) PYQs

$\frac{\pi^2}{6} - 1$

$\frac{\pi}{6}$

$\frac{\pi^2}{12}$

$\frac{\pi^2}{8}$

-14

30

-6

16

4

5

6

7

$22 + 2\pi$

$19 + 2\pi$

$22$

$22 – 2\pi$

$10308$

$11748$

$22348$

$19708$

$f(x)$ has a maximum and a minimum

$f(x)$ has a minimum and no maximum

$f(x)$ has a maximum and no minimum

$f(x)$ has no minimum and no maximum

$\frac{35}{27}$

$\frac{14}{9}$

$\frac{28}{9}$

$\frac{35}{54}$

$2\sqrt{2}$

$2 + \sqrt{2}$

$\dfrac{9}{2\sqrt{2}}$

$\sqrt{10}$

7

6

5

8

-48

-24

24

48

$(2,5)$

$(-5,-2)$

$(5,\infty)$

Null set

$\frac{1}{y-a}$ is proportional to $x^{b}$

$y-a$ is proportional to $x^{b}$

$e^{y}$ is proportional to $x^{b}$

$\log _{e} y$ is proportional to $x$

137275

138250

137225

135375

$\frac{1}{2}$

$\frac{10}{19}$

$\frac{2}{3}$

$\frac{9}{19}$

$3^{20} + 4$

$3^{30} + 2$

$3^{20} + 8$

$3^{30} + 8$

24

27

30

36

276

180

120

240

0

8

9

7

0

2

8

4

11

10.5

10

9.5

4

16

2

8

$\frac{1}{4}$

$\frac{7}{27}$

$\frac{1}{3}$

$\frac{2}{9}$

$\sin \theta$

$\cos \theta$

$2 \cos \theta$

$2 \sin \theta$

$(p + \frac{1}{p})$

$2(p + \frac{1}{p})$

$2(\sqrt{p} + \frac{1}{\sqrt{p}})^2$

$(\sqrt{p} + \frac{1}{\sqrt{p}})^2$

$7, \frac{1}{7}$

$3, \frac{1}{3}$

$-3, \frac{1}{3}$

$5, -\frac{1}{5}$