Question
The sixth largest three-digit odd number among those with all digits distinct is
The correct answer is
973
To find the sixth largest three-digit odd number with all distinct digits, we need to follow these steps:
- Identify Three-digit Odd Numbers: A three-digit odd number implies that its units digit must be odd. The odd digits available for the last digit are 1, 3, 5, 7, and 9.
- Form Numbers with Distinct Digits: We need all digits to be distinct. Let's focus starting with the largest, using odd digits as the last digit to ensure the number is odd.
- Create the Largest Possible Numbers:
- Use 9 as the first digit (largest digit possible in three-digit numbers) and try to form the largest possible numbers: 987, 985, 983, 981.
- Next, use 8 as the second digit for combinations, such as 975, 973.
- Sort the Numbers: Arrange the valid numbers formed in descending order:
- 987, 985, 983, 981, 975, 973, 971
- Identify the Sixth Largest: From the list, the sixth largest is 973.
Conclusion: Among the given options, the sixth largest three-digit odd number with all distinct digits is 973.
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Important Questions from Ordering and Ranking (Notes)
- A transformation experiment is performed with two Pneumococcal strains. One strain is resistant to four drugs - A, B, C, and D, whereas the other is sensitive to all the drugs. Both strains are mixed and the mixture is plated on media containing various combinations of the drugs. The colonies obtained on these plates are given below:
Drugs added No. of colonies Drugs added No. of colonies A 1156 CD 786 B 1148 ABC 30 C 1161 ABD 42 D 1139 ACD 630 AB 46 BCD 36 AC 640 ABCD 30 AD 942 BC 51
Based on the above results, which one of the below options represents the most likely order of the drug-resistance genes? - There are five boys P, Q, R, S and T sitting in a row facing North such that P is right of Q and T is left of R and right of P. Q is right of S. Which boy is in the middle of the row?
Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Q has an exam on Thursday and U has an exam on Saturday. T has an exam immediately before S. P has an exam on one of the days after V. R has an exam immediately after S. How many people have exams between R and P?
- Among five people of different ages, P is older than R. L is younger than M. R is older than Y. M is younger than Y. Who is the youngest?
- Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only two boxes are kept below E. Only one box is kept above D. Only one box is kept between D and B. G is kept immediately above C. F is kept at some place below A. How many boxes are kept below A?
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