Question

4 → Michelle likes 96 but not 45; she also likes 540 but not 250. Which
does she like?
A 86
B 93
C 98
D 128
E 132
F 140
G None of these
H I don't know​

Answer 1

Answer:

Which does she like? A 86. B 93. C 98. D 128. E 132. F 140. G None of these H I don't know.

Answer 2

Given : Michelle likes 96 but not 45;

she also likes 540 but not 250.

To Find :  Which does she like  

A 86

B 93

C 98

D 128

E 132

F 140

G None of these

H I don't know​

Solution:

96  = 2 * 2 * 2 * 2 * 2 * 3    has factors 2 and 3

45  = 3 * 3 * 5             has factors  3 and 5  - does not have  2

540 = 2 * 2 * 3 * 3  * 3 * 5    has factors  2 , 3 and 5

250 = 2 * 5 * 5 * 5              has factors  2  and  5     does not have  3

if 2 and 3 are not present then number is not likes

From all these liked are those which have factor 2 and 3  both  .

Hence factor of 6

so number should be divisible by 6

132 is only number divisible by 6  

Hence   she likes 132

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