Function Test

Result

Function Test - 4

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

Let f (x) and g(x) be bijective function where f : {a, b, c, d} → {1, 2, 3, 4} and g : {3, 4, 5, 6} → {w, x, y, z} respectively. What will be the number of elements in the range set of g (f (x) )?

A
0

B
2

C
6

D
3

Solution

Range of f (x) for which g (f (x) ) is defined is {3,4}.
Hence domain of g (f (x) ) has two elements
.^.. Range of g(f (x) ) also has two elements.
Question 2
1 / -0

If x and y satisfies the equations y = 2 [ x ] + 3 and y = 3[ x - 2 ] simultaneously, then [ x + y ] is ( where [ ] represents integral part function )

A
22

B
30

C
16

D
11

Solution

y = 2[ x ] + 3 = 3 [ x - 2 ]
⇒ 2 [ x ] + 3 = 3[ x ] - 6
⇒ [ x ] = 9

.^.. y = 2[ x ] + 3 = 21
.^.. [ x + y ] = [ x + 21 ]
= [ x ] + 21
= 9 + 21 = 30