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July 25, 2023
Question 1
100,350
100,200
100,550
100,250
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Explanation: The prime factorization of each number is as follows: 18 = 2 * 3 * 3 25 = 5 * 5 To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: LCM = 2 * 3 * 3 * 5 * 5 = 450 Now, we need to find the smallest six-digit number divisible by 450. We start by finding the smallest multiple of 450 greater than or equal to 100,000: 450 * 223 = 100,350 Therefore, the smallest six-digit positive integer that is divisible by both 18 and 25 is 100,350.
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Question 2
67
27
45
56
Explanation: 67 is a prime number. 27, 45, and 56 are Composite numbers.
Question 3
100080
100056
100090
100078
Explanation: The prime factorization of 9 is 3^2. The prime factorization of 16 is 2^4. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: LCM = 2^4 * 3^2 = 144. Now, we need to find the smallest multiple of 144 which is a six-digit positive integer. We start by finding the smallest multiple of 144 greater than or equal to 100,000 144 * 695 = 100080.
Question 4
1 2 3 4
3 4 1 2
4 3 2 1
3 1 2 4
Explanation: 3 4 1 2 Is the correct sequence of telling the process of Extraction of Gold through the Mining Process.
Question 5
25/66
41/66
55/66
45/66
Explanation: Probability of drawing two non-red balls: The first ball drawn has a probability of 7/12 of being non-red. The second ball drawn, without replacement, has a probability of 6/11 of being non-red. The complementary event of drawing two non-red balls is drawing at least one red ball. So, the probability of drawing at least one red ball is 1 - 7/22 = 15/22. Hence, the probability that at least one of the balls drawn is red is 15/22=>45/66.
Question 6
Only argument 1 is strong
Only argument 2 is strong
Both arguments are strong
Neither argument is strong.
Explanation: In this case, the statement clearly states tcap “Smoking is harmful to health.” Argument 1 supports the statement by proposing a ban on smoking to protect people's health. Where as, Argument 2 is simply promoting an Unhealthy lifestyle.
Question 7
10/66
15/66
20/66
Explanation: Probability of selecting the first green ball = 5/12 Probability of selecting the second green ball (after drawing one green ball) = 4/11 Probability of selecting a non-green ball (after drawing two green balls) = 7/10 Probability of exactly two green balls = (5/12) × (4/11) × (7/10) =>140/(12 × 11 × 10) =>140/132 => 5/66 Probability of exactly two green balls (considering all possible arrangements) = 3 × (5/66) =>15/66
Question 8
Conclusion I follows
Conclusion II follows
Both Follows
Neither of them Follows
Explanation:
Question 9
0.234
0.289
0.329
None Of the Above
Explanation: o draw 2 red balls, 1 blue ball, and 1 yellow ball in any order, we can consider the following scenarios:
Question 10
None of them follows
Either I or II Follows
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