IIM Bangalore (UGAT) 2025 PYP 2025 (QA) PYQs

4

1

3

2

121

99

16

88

364

182

2184

110

2

3

2.5

1.5

0.8

0.2

0.16

0.4

27

48

54

12

$e^{ln(|x|)}$

$e^{ln(x)}$

$ln(e^x)$

$ln(e^{|x|})$

$1 - xyz$

$xy + yz + zx$

$xy + yz + zx - 3xyz$

$1 - xy - xz - yz + 3xyz$

$f$ is discontinuous at exactly two points in $(0, \frac{6}{5})$

$g$ is not differentiable at exactly one point in $(0, \frac{6}{5})$

$f$ is discontinuous at exactly three points in $(0, \frac{6}{5})$

$g$ is not differentiable at exactly two points in $(0, \frac{6}{5})$

56

42

14

28

$1 \leq y + z \leq 8$

$0 < y + z \leq 8$

$0 < y + z < 9$

$-1.5 < y + z < 9$

144

441

225

256

54

42

44

46

The third number is equal to twice the sum of the first two numbers

The sum of the first two numbers is equal to twice the third number

The sum of the first two numbers is equal to thrice the third number

The third number is equal to thrice the sum of the first two numbers

10

9

11

5

$\frac{2(2n + 1)}{3}$

$\frac{2n^2 + 2n - 4}{9}$

$\frac{n^2 + 2n + 5}{9}$

$\frac{2n^2 + n - 2}{9}$

$\frac{3}{4}$

$\frac{1}{4}$

$\frac{2}{3}$

$\frac{1}{2}$

$((A - C)^c \cap (B - C)^c)^c$

$(A^c \cup C) \cup (B^c \cup C)$

$(A - C) \cup (B - C)$

$((A^c \cup C) \cap (B^c \cup C))^c$

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{32}$

2

3

0

1

None of these options

$\sqrt{2}$

$\frac{1}{\sqrt{2}}$

$2\sqrt{2}$

7

9

12.5

8