Probability - Algebra -Single Correct Type Questions(JEE ADVANCED) part 1

 Q.1

Correct Answer is:A
Solution Explain:

3039 = 239 × 339 × 539. So, 40 × 40 × 40 divisors in total.
2a 3b 5c to be a multiple of 3029, we must have a ∈ [29, 39], b ∈ [29, 39], c ∈ [29, 39] i.e. 11 choices for each a, b, c.










Q.2

Correct Answer is:A

Solution Explain:









Q.3

Correct Answer is:A
Solution Explain:










Q.4

Correct Answer is:C
Solution Explain:












Q.5

Correct Answer is:B
Solution Explain:









Q.6

Correct Answer is:A
Solution Explain:











Q.7

Correct Answer is:B
Solution Explain:











Q.8

Correct Answer is:C
Solution Explain:










Q.9

Correct Answer is:D
Solution Explain:










Q.10

Correct Answer is:C
Solution Explain:











Q.11

Correct Answer is:B
Solution Explain:










Q.12

Correct Answer is:C
Solution Explain:










Q.13

Correct Answer is:B
Solution Explain:











Q.14

Correct Answer is:B
Solution Explain:









Q.15

Correct Answer is:A
Solution Explain:











Q.16

Correct Answer is:A
Solution Explain:










Q.17

Correct Answer is:B
Solution Explain:









Q.18

Correct Answer is:C
Solution Explain:









Q.19

Correct Answer is:C
Solution Explain:










Q.20

Correct Answer is:D
Solution Explain:










Q.21

Correct Answer is:B
Solution Explain:











Q.22

Correct Answer is:C
Solution Explain:









Q.23

Correct Answer is:C
Solution Explain:










Q.24

Correct Answer is:B
Solution Explain:











Q.25

Correct Answer is:A
Solution Explain:










Q.26

Correct Answer is:B
Solution Explain:









Q.27

Correct Answer is:A
Solution Explain:










Q.28

Correct Answer is:C
Solution Explain:










Q.29

Correct Answer is:A
Solution Explain:










Q.30

Correct Answer is:C
Solution Explain:









Q.31

Correct Answer is:A
Solution Explain:









Q.32

Correct Answer is:B
Solution Explain:










Q.33

Correct Answer is:C
Solution Explain:












Q.34

Correct Answer is:A
Solution Explain:









Q.35

Correct Answer is:A
Solution Explain:









Q.36

Correct Answer is:B
Solution Explain:









Q.37

Correct Answer is:A
Solution Explain:









Q.38

Correct Answer is:A
Solution Explain:









Q.39

Correct Answer is:B
Solution Explain:





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