Q. 1
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the least common multiple (LCM) of 3 and 6?
💡
Step-by-Step Explanation & Concept Rationale
Since 6 is a multiple of 3: \[\text{LCM}(3, 6) = 6\] Thus, the correct option is (B).
Q. 2
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the least common multiple (LCM) of 8 and 16?
💡
Step-by-Step Explanation & Concept Rationale
Since 16 is divisible by 8: \[\text{LCM}(8, 16) = 16\] Thus, the correct option is (B).
Q. 3
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the least common multiple (LCM) of 8, 16, and 32?
💡
Step-by-Step Explanation & Concept Rationale
All numbers are powers of 2 ($8 = 2^3$, $16 = 2^4$, $32 = 2^5$). The LCM is the highest power of 2: \[\text{LCM} = 2^5 = 32\] Thus, the correct option is (B).
Q. 4
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the least common multiple (LCM) of 6, 12, 24, and 48?
💡
Step-by-Step Explanation & Concept Rationale
Since 6, 12, and 24 are all divisors of 48, the least common multiple of the set is: \[\text{LCM}(6, 12, 24, 48) = 48\] Thus, the correct option is (C).
Q. 5
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the least common multiple (LCM) of 4, 6, and 12?
💡
Step-by-Step Explanation & Concept Rationale
Prime factorizations: \[4 = 2^2\] \[6 = 2^1 \times 3^1\] \[12 = 2^2 \times 3^1\] The LCM is: \[\text{LCM} = 2^2 \times 3^1 = 4 \times 3 = 12\] Thus, the correct option is (B).
Q. 6
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the least common multiple (LCM) of 18, 24, and 36?
💡
Step-by-Step Explanation & Concept Rationale
Prime factorizations: \[18 = 2^1 \times 3^2\] \[24 = 2^3 \times 3^1\] \[36 = 2^2 \times 3^2\] Taking the highest powers of each prime factor: \[\text{LCM} = 2^3 \times 3^2 = 8 \times 9 = 72\] Thus, the correct option is (C).
Q. 7
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the least common multiple (LCM) of 5, 15, 20, and 30?
💡
Step-by-Step Explanation & Concept Rationale
Prime factorizations: \[5 = 5^1\] \[15 = 3^1 \times 5^1\] \[20 = 2^2 \times 5^1\] \[30 = 2^1 \times 3^1 \times 5^1\] The LCM is: \[\text{LCM} = 2^2 \times 3^1 \times 5^1 = 4 \times 3 \times 5 = 60\] Thus, the correct option is (C).
Q. 8
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the least common multiple (LCM) of 7, 14, and 13?
💡
Step-by-Step Explanation & Concept Rationale
Find the prime factorizations: \[7 = 7^1\] \[14 = 2^1 \times 7^1\] \[13 = 13^1\] The LCM is the product of the highest powers of all prime factors: \[\text{LCM} = 2^1 \times 7^1 \times 13^1 = 14 \times 13 = 182\] Thus, the correct option is (C).
Q. 9
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the Least Common Multiple (LCM) of $2$ and $3$?
💡
Step-by-Step Explanation & Concept Rationale
Since $2$ and $3$ are distinct prime numbers, their LCM is their product: \[\text{LCM}(2, 3) = 2 \times 3 = 6\] Thus, the correct option is (D).
Q. 10
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
What is the Least Common Multiple (LCM) of $4$ and $6$?
💡
Step-by-Step Explanation & Concept Rationale
Prime factorization: $4 = 2^2$ and $6 = 2 \times 3$. Taking the highest power of each prime factor: \[\text{LCM}(4, 6) = 2^2 \times 3 = 4 \times 3 = 12\] Thus, the correct option is (C).
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