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1
GATE ME 2025
MCQ (Single Correct Answer)
+2
-0.67
A final year student appears for placement interview in two companies, $S$ and $T$. Based on her interview performance, she estimates the probability of receiving job offers from companies $S$ and $T$ to be 0.8 and 0.6 , respectively. Let $p$ be the probability that she receives job offers from both the companies. Select the most appropriate option.
A
$0 \leq p \leq 0.2$
B
$0.4 \leq p \leq 0.6$
C
$0.4 \leq p \leq 0.4$
D
$0.6 \leq p \leq 1.0$
2
GATE ME 2024
MCQ (Single Correct Answer)
+2
-1.33

How many combinations of non-null sets A, B, C are possible from the subsets of {2, 3, 5} satisfying the conditions: (i) A is a subset of B, and (ii) B is a subset of C?

A

28

B

27

C

18

D

19

3
GATE ME 2024
MCQ (Single Correct Answer)
+2
-1.33

Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is

A

30Β°

B

60Β°

C

45Β°

D

90Β°

4
GATE ME 2023
MCQ (Single Correct Answer)
+2
-0.66

Consider the following inequalities

𝑝2 βˆ’ 4π‘ž < 4

3𝑝 + 2π‘ž < 6

where 𝑝 and π‘ž are positive integers.

The value of (𝑝 + π‘ž) is _______. 

A
2
B
1
C
3
D
4
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