1
GATE CSE 2020
MCQ (Single Correct Answer)
+2
-0.67
Consider three registers R1, R2 and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively.
If R3 = $${{R1} \over {R2}}$$, what is the value stored in R3?
A
0x40800000
B
0x40800000
C
0xC8500000
D
0xC0800000
2
GATE CSE 2020
Numerical
+1
-0.33
Let G be a group of 35 elements. Then the largest possible size of a subgroup of G other than G itself is ______.
Your input ____
3
GATE CSE 2020
MCQ (Single Correct Answer)
+1
-0.33
Consider the functions

I. $${e^{ - x}}$$
II. $${x^2} - \sin x$$
III. $$\sqrt {{x^3} + 1} $$

Which of the above functions is/are increasing everywhere in [0,1]?
A
III only
B
II and III only
C
II only
D
I and III only
4
GATE CSE 2020
Numerical
+1
-0.33
Let R be the set of all binary relations on the set {1,2,3}. Suppose a relation is chosen from R at random. The probability that the chosen relation is reflexive (round off to 3 decimal places) is _____.
Your input ____
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