Riya wrote the greatest 6-digit number with all different digits. What is the sum of its first and last digit?
9
13
17
8
Explanation: Greatest 6-digit number with all different digits = 9,87,654. First digit=9, last digit=4. Sum=9+4=13. Wait: 9,87,654 — last digit is 4. 9+4=13. Answer: 13.
Question 2 of 6hard
A 6-digit number rounds to 7,00,000 when rounded to the nearest lakh. Its ten-thousands digit is 5. What is the smallest such number?
6,50,000
7,50,000
6,50,001
7,00,000
Explanation: For a number to round up to 7,00,000, its lakhs digit must be 6 and its TTh digit must be >=5. With TTh=5, the smallest is 6,50,000.
Question 3 of 6medium
Pattern: 4,20,000; 4,40,000; 4,60,000; ___; 5,00,000. What is missing?
4,70,000
4,80,000
4,90,000
4,75,000
Explanation: Each term increases by 20,000. 4,60,000 + 20,000 = 4,80,000.
Question 4 of 6hard
Using digits 2, 4, 6, 8, 0, 0 only (each used exactly once), how many different 6-digit numbers can be formed? (First digit cannot be 0)
120
60
210
240
Explanation: First position: 4 choices (2,4,6,8). Remaining 5 positions with digits including two 0s: 5!/2! = 60 arrangements. Total = 4 x 60 = 210.
Question 5 of 6hard
A number between 5,00,000 and 6,00,000 has TTh digit = its ones digit, and H digit = 3 x its ones digit. Its ones digit is 2. What is the number?
5,22,622
5,22,632
5,20,602
5,12,632
Explanation: Ones=2, TTh=2, H=6. Number format: 5,2?,6,2 with any Th and T. Smallest matching: 5,20,622. Best matching option: 5,22,622.
Question 6 of 6hard
Two numbers X and Y: X is the greatest 6-digit number with 5 in the lakhs place. Y is the smallest 6-digit number with 6 in the lakhs place. What is Y - X?
1
2
100
1000
Explanation: X = 5,99,999 (greatest with 5 in lakhs). Y = 6,00,000 (smallest with 6 in lakhs). Y - X = 6,00,000 - 5,99,999 = 1.
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