Is the positive integer \(m\) divisible by 12? 1. \(m\) is divisible by 6 2. \(m\) is divisible by 8
A. Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient to answer the question asked.
C. Both Statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient to answer the question.
DUIBAমানসিক দক্ষতা(IQ)বিশ্লেষণমুলক ও সিদ্ধান্ত গ্রহণের ক্ষমতাIQ-3 (Topic Practice)DU - ⚡ অনলাইন প্রশ্নব্যাংক দেখুন 💥
Explanation: The question asks: Is \(m\) a multiple of 12? **Statement 1:** \(m\) is divisible by 6. Possible values for \(m\): 6, 12, 18, 24, ... If \(m=6\) or \(18\), the answer is NO. If \(m=12\) or \(24\), the answer is YES. **Not Sufficient.**. **Statement 2:** \(m\) is divisible by 8. Possible values for \(m\): 8, 16, 24, 32, ... If \(m=8\) or \(16\), the answer is NO. If \(m=24\), the answer is YES. **Not Sufficient.**. **Statements 1 and 2 TOGETHER:** \(m\) must be a multiple of both 6 and 8. The least common multiple (LCM) of 6 and 8 is 24. Possible values for \(m\) are multiples of 24: 24, 48, 72, 96, ... Since 12 is a factor of 24, all multiples of 24 are also multiples of 12. Therefore, \(m\) is definitively divisible by 12. **Sufficient.**. The answer is C.
Related Questions (Any University/Year)
- No cat can sing, but some cats can talk, if so then-
- A company produces five types of shirts -- A,B,C,D and E-using cloth of three qualities -- high, medium and low , using dyes of three qualities-- high, medium and low. One shirt requires 1.5 m of cloth .The following table gives respectively : The number of shirts (of each category) produced, in thousands. The percentage distribution of cloth quality in each type of shirt, and The percentage distribution of dye quality in each type of shirt. What is the ratio of the three qualities of dyes in high quality cloth ?
- If m>p, m>r, n<r and pes, which of the following must be true?
- Who is sitting between Nagarjuna and Al Kindi?
- What is the value of 'm'? I. The number m yields a remainder p when divided by 14 and a remainder q when divided by 7 II. p - q = 7
- Tree: Root
- প্রাণী : অক্সিজেন :: উদ্ভিদ : ?
- If birds are singing it must be spring . The statements can be true for which of the following statement .
- Among the following statements , which would make M, D, N,G,L,O,A the only possible sequence of speakers?
- A is more hard working than B but he is not as hard working as C. D is less hard working than C but more hard working than A. If C is the most hard working individual, who is the least hardworking of them?
- Department stores range from two to nine floors in height. If a store has more than three floors, it has a lift. If the statements above are true, which of the following must also be true?
- রানা প্লাজা ধ্বংস কিংবা,গার্মেন্টস ফ্যাক্টরিগুলোতে অগ্নিকাণ্ড ও হতাহতের ঘটনা প্রমাণ করে-
- The popular notion that a tree's age can be determined by counting number of internal rings in its trunk is generally true. Howeevr, to help regulate the internal temperature of the tree, the outermost layers of wood of the Brazilian ash often →peel away when the temperature exceeds 95 degrees Fahrenheit, leaving the tree with fewer rings than it would otherwise have. So only if the temperature in the Brazilian ash's environment never exceeds 95 degrees Fahrenheit →elav eing the tree with fewer rings than it would otherwise have. So only if the reliable measure of the tree's age. Which of the following is an assumption on whish the argument above depends?
- Rudder: Steer
- Read the following puzzle and answer the questions L, M, N, 0 and P have Tk. 10, Tk. 20, Tk, 30, Tk. 40 and Tk. 50 with them not necessarily in that order. M has the lowest amount. L and N together have the maximum possible sum with them. The sum of money L and M is equal to the sum of money with O and P. P has more money than O. The amount P has is-
- If a salesman received a commission of 3% of the sales that he has booked in a month, what was the sales booked by the salesman in the month of November 2003? 1. The sales booked by the salesman in the month of November 2003 minus the salesman's commission was $245,000 2. The selling price of the sales booked by the salesman in the month of November 2003 was 125 percent of the original purchase price of $225,000.
- Because of the use of Information and Communication Technolgy (ICT) in governmental activities-i. People of a country can avail government services within a shortest possible time. ii. Government services are not available during holidays. iii. The standard of government services can be enhanced.
- What is the best way to introduce the third paragraph?
- From the profits of a certain investment, Faisaf got \(1/3\) of the total profit and three of his friends each got \(1/3\) of the rest. What was the total profit? 1) Faisal and one of his friends got \(5/9\) of the total profit. 2) Two of Faisal's friends got a total of 48000 taka.
- If P is assigned whenever and only when S is assigned, which of the following could be true?