Numbers forming using given digits
Try These (1) Solution
Question (1) Use the given digits without repetition and make the greatest and smallest 4-digit numbers
(a) 2, 8, 7, 4
Answer
The greatest number: 8742
And, the smallest number: 2478
(b) 9, 7, 4, 1
Answer
The greatest number: 9741
And, the smallest number: 1479
(c) 4, 7, 5, 0
Answer
The greatest number: 7540
And, the smallest number: 4057
(d) 1, 7, 6, 2
Answer
The greatest number: 7621
And, the smallest number: 1267
(d) 5, 4, 0, 3
Answer
The greatest number: 3540
And, the smallest number: 3045
Question (2) Now make the greatest and the smallest 4-digit numbers by using any one digit twice.
(a) 3, 8, 7
Answer
The greatest number: 8873
And, the smallest number: 3378
(b) 9, 0, 5
Answer
The greatest number: 9950
And, the smallest number: 5009
(c) 0, 4, 9
Answer
The greatest number: 9940
And, the smallest number: 4009
(d) 8, 5, 1
Answer
The greatest number: 8851
And, the smallest number: 1158
Question (3) Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given
(a) Digit 7 is always at ones place
The greatest number: 9867
The smallest number: 1027
(This question has already been solved and given as example)
(b) Digit 4 is always at tens place
Answer
The greatest number: 9846
The smallest number: 1243
(c) Digit 9 is always at hundreds place
Answer
The greatest number: 8976
The smallest number: 1923
(d) Digit 1 is always at thousands place
Answer
The greatest number: 1987
The smallest number: 1234
Question (4) Take two digits, say 2 and 3. Make 4-digit numbers using both digits equal number of times.
Which is the greatest number?
Answer: The greatest number is 3322
Which is the smallest number?
Answer: The smallest number is 2233
How many different numbers can you make in all?
Answer: Total six
2233, 2323, 2332, 3322, 3232, 3223
Stand in proper order
The height of Ramhari = 160 cm, Dolly = 154 cm, Mohan = 158 cm and Shashi = 159
Question (1) Who is the tallest?
Answer
Ramhari is the tallest.
Question (2) Who is the shortest?
Dolly is the shortest.
(a) Can you arrange them in the increasing order of their height?
Answer
The increasing order of the height of given persons is
Dolly (154 cm) < Mohan (158 cm) < Shashi (159 cm) < Ramhari (160 cm)
(b) Can you arrange them in the decreasing order of their heights?
Answer
The decreasing order of the height of given persons is
Ramhari (160 cm) > Shashi (159 cm) > Mohan (158 cm) > Dolly (154 cm)
Which to buy?
Sohan and Rita went to buy and almirah. There were many almirah available with their price tags.
Price of Almirah: ₹ 2635, ₹ 1897, ₹ 2854, ₹ 1788, ₹ 3975
Solution
If Sohan and Rita want to buy the cheapest, then they will buy almirah with price ₹ 1788 Answer
(a) Can you arrange their prices in increasing order?
Answer
The increasing order of the price of almirah is
₹ 1788 < ₹ 1897 < ₹ 2635 < ₹ 2854 < ₹ 3975
(b) Can you arrange their prices in decreasing order?
Answer
The decreasing order of the price of almirah is
₹ 3975 > ₹ 2854 > ₹ 2635 > ₹ 1897 > ₹ 1788
Try These (2) Solution
Question (1) Arrange the following numbers in ascending order:
(a) 847, 9754, 8320, 571
Answer
The ascending order of the given numbers is
571 < 847 < 8320 < 9754
(b) 9801, 25751, 36501, 38802
Answer
The ascending order of the given numbers is
9801 < 25751 < 36501 < 38802
Question (2) Arrange the following numbers in descending order:
(a) 5000, 7500, 85400, 7861
Answer
The descending order of the given numbers is
85400 > 7861 > 7500 > 5000
(b) 1971, 45321, 88715, 92547
Answer
The descending order of the given numbers is
92547 > 88715 > 45321 > 1971