IPMAT Indore 2023 (MCQ) PYQs

3

1, 7, 9

4, 7

1, 3, 7

$\dfrac{n(n+2)}{2}$

$\dfrac{3}{2}$

$\dfrac{n(n+1)}{2}$

$n$

$(-\infty, -1)$ U $(-\dfrac{1}{2}, 0)$ U $(1, +\infty)$

$(-1, -\dfrac{1}{2})$ U $(1,+\infty)$

$(-1, 0)$ U $(1,+\infty)$

$(-1, -\dfrac{1}{2})$ U $(0,+\infty)$

48000

12000

9600

24000

$4x+3y+19=0, 4x+3y-31=0$

$4x+3y-19=0, 4x+3y+31=0$

$4x+3y-19=0, 4x+3y-31=0$

$4x+3y+19=0, 4x+3y+31=0$

4

6

1

5

250 kmph

184 kmph

192 kmph

200 kmph

$a + b + c + d = 0$

$a=c,$ or $a+b+c+d = 0$

$a=c$

$a=c,$ and $b=d$

$2$

$4-\sqrt{5}$

$3$

$4+\sqrt{5}$

2, 2, 2, 2, 2

3, 2, 2, 2, 1

3, 3, 2, 1, 1

4, 4, 1, 1, 0

17000

15000

1500

170000

$\dfrac{b_{1}}{a_{1}}, \dfrac{b_{2}}{a_{2}}, \dfrac{b_{3}}{a_{3}}$ are in geometric progression

$b_{1}, b_{2}, b_{3}$ are in geometric progression

$b_{1}, b_{2}, b_{3}$ are in arithmetic progression

$\dfrac{b_{1}}{a_{1}}, \dfrac{b_{2}}{a_{2}}, \dfrac{b_{3}}{a_{3}}$ are in arithmetic progression

$11:4\sqrt{10}$

$12:11$

$11:12$

$4\sqrt{10}:11$

$(b-a)^n=(c-b)$

$a^n+b^n=c^n$

$a+b=c$

$(a^n+b)^n=ac$

7

7!

8

8!

a pair of straight lines

a circle

an ellipse

a point

$32$ meters

$\frac{32}{\sqrt{5}}$ meters

$64$ meters

$\frac{64}{\sqrt{5}}$ meters

$n\pi + \dfrac{\pi}{4}, n$ is an integer

$2n\pi + \dfrac{\pi}{4}, n$ is an integer

$\dfrac{n\pi}{4}, n$ is an integer

$\dfrac{n\pi}{4} + \dfrac{\pi}{4}, n$ is an integer

144

89

34

55

$\dfrac{22}{2023}$

$\dfrac{23^2}{{2024}^2}$

$\dfrac{22}{2024}$

$\dfrac{22^2}{{2023}^2}$

Exactly 20

Between 15 and 25

30 or more

Between 20 and 25

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{1}{3}$

5

6

3

7

$\sqrt{2}$

$2$

$\sqrt{3}$

$1$

$3-x$

$3$

$x-3$

$2$