1
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
2
GATE ME 2023
MCQ (Single Correct Answer)
+2
-0.66
How many pairs of sets (S,T) are possible among the subsets of {1, 2, 3, 4, 5, 6} that satisfy the condition that S is a subset of T? 
A
729
B
728
C
665
D
664
3
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.66

Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily attack their prey. However, having this extra layer of black pigment results in lower collagen on their skin, making their skin more fragile.

Which one of the following is the CORRECT logical inference based on the information in the above passage?  

A
Having ultra-black skin is only advantageous to species S
B
Species S with lower collagen in their skin are at an advantage because it helps them avoid predators
C
Having ultra-black skin has both advantages and disadvantages to species S
D
Having ultra-black skin is only disadvantageous to species S but advantageous only to their predators
4
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.66

For the past m days, the average daily production at a company was 100 units per day.

If today’s production of 180 units changes the average to 110 units per day, what is the value of m?

A
18
B
10
C
7
D
5
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