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Question 23 Marks
Calculate the digit sums of
(i) 4-digit numbers
(ii) 5-digit numbers
whose digits are consecutive. Do you notice any pattern?
Answer
(i) $10,14,18, \ldots . .30$; Each sum is 4 more than the preceding sum.
(ii) $15,20, \ldots . ., 35$; Each sum is 5 more than the preceding sum.
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Question 43 Marks
Form the largest and smallest 4-digit numbers using each of digits 7, 1, 0, 5 only once.
Answer
Largest number $=7,510$, Smallest number $=1,057$
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Question 53 Marks
In a four digit number, the digit in one's place is 3 times the digit in the ten's place, The digit in hundred's place is 5 times that in ten's place. The thousand's place digit is 6 more the digit in the ten's place.
Answer
6,000
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Question 63 Marks
Find the largest possible 6 -digit number with unique digits having 9 in a hundred's place.
Answer
876, 954
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Question 73 Marks
In a four digit number, the digit in the one's place is 1 more than that in ten's place. The digit in thousand's place is 4 more than that in hundred's place. The digit in hundred's place is twice that in ten's place. If the digit in ten's place is 1, find the number.
Answer
6,212
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Question 93 Marks
How many 2-digit numbers can you construct using the digits $1,2,3,4,5,6,7,8$ and 9 if the repetition of the digits is not allowed? Write down the greatest and the smallest of these numbers.
Answer
72; 98; 12
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