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4 Mark Question

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7 questions · self-marked practice — reveal the answer and mark yourself.

Question 14 Marks
Express each of the following as a Roman numeral:
S.No.
Numerical
i
164
ii
195
iii
226
iv
341
v
475
vi
596
vii
611
viii
759
Answer
We may write these numbers in Roman numerals as follows:
S.No.
Numerical
Roman numerals
i
164
CLXIV
ii
195
CXCV
iii
226
CCXXVI
iv
341
CCCXLI
v
475
CDLXXV
vi
596
DXCVI
vii
611
DCXI
viii
759
DCCLIX
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Question 24 Marks
Show that each of the following is meaningless. Give reason in each case.
  1. VC
  2. IL
  3. VVII
  4. IXX
Answer
  1. VC is wrong because V, L and D are never subtracted.
  2. IL is wrong because I can be subtracted from V and X only.
  3. VVII is wrong because V, L and D are never repeated.
  4. IXX is wrong because X (ten) must be placed before IX (nine).
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Question 34 Marks
Arrange the following numbers in ascending order:
1020304, 893245, 980134, 1021403, 893425, 1020216
Answer
893245, 893425 and 980134 are all 6-digit numbers.
Among the three, 980134 is the largest.
The other two numbers have the same digits, namely 8, 9 and 3, at the lakhs, ten thousands and thousands places, respectively.
However, the digits at the hundreds place in 893245 and 893425 are 2 and 4, respectively.
Clearly, 2 < 4
$\therefore$ 893245 < 893425
1020216, 1020304 and 1021403 are all 7-digit numbers.
They have the same digits, namely 1, 0 and 2, at the ten lakhs, lakhs and ten thousands places, respectively.
At the thousands place, 1021403 has 1.
The other two numbers have the digits 2 and 3 at their hundreds places.
Clearly, 2 < 3
$\therefore$ 1020216 < 1020304
The given numbers in ascending order are:
893245 < 893425 < 980134 < 1020216 < 1020304 < 1021403
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Question 44 Marks
Arrange the following numbers in descending order:
63521047, 7354206, 63514759, 7355014, 102345680
Answer
102345680 is a 9-digit number.63521047 and 63514759 are both 8-digit numbers.
Both the numbers have the same digits, namely 6, 3 and 5, at the crores, ten lakhs and lakhs places, respectively.
However, the digits at the ten thousands place in 63521047 and 63514759 are 2 and 1, respectively.
Clearly, 2 > 1
$\therefore$ 63521047 > 63514759
7355014 and 7354206 are both 7-digit numbers.
Both the numbers have the same digits, namely 7, 3 and 5 at the crores, ten lakhs and lakhs places, respectively.
However, the digits at the ten thousands place in 7355014 and 7354206 are 5 and 4, respectively.
Clearly, 5 > 4
$\therefore$ 7355014 > 7354206
The given numbers in descending order are:
102345680 > 63521047 > 63514759 > 7355014 > 7354206
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Question 54 Marks
Arrange the following numbers in descending order:
5032786, 23794206, 5032790, 23756819, 987876
Answer
23794206 and 23756819 are both 8-digit numbers.
Both the numbers have the same digits, namely 2, 3 and 7 at the crores, ten lakhs and lakhs places, respectively.
However, the digits at the ten thousands place in 23794206 and 23756819 are 9 and 5, respectively.
Clearly, 9 > 5
$\therefore$ 23794206 > 23756819
5032790 and 5032786 are both 7-digit numbers.
Both the numbers have the same digits, namely 5, 0, 3, 2 and 7, at the ten lakhs, lakhs, ten thousands, thousands and hundreds places, respectively.
However, the digits at the tens place in 5032790 and 5032786 are 9 and 8, respectively.
Clearly, 9 > 8
$\therefore$ 5032790 > 5032786
987876 is a 6-digit number.
The given numbers in descending order are:
23794206 > 23756819 > 5032790 > 5032786 > 987876
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Question 64 Marks
Arrange the following numbers in ascending order:
56943201, 5694437, 56944000, 5695440, 56943300
Answer
5694437 and 5695440 are both 7-digit numbers.
Both have the same digit, i.e., 5 at the ten lakhs place.
Both have the same digit, i.e., 6 at the lakhs place.
Both have the same digit, i.e., 9 at the ten thousands place.
However, the digits at the thousand place in 5694437 and 5695440 are 4 and 5, respectively.
Clearly, 4 < 5
$\therefore$ 5694437 < 5695440
56943201, 56943300 and 56944000 are all 8-digit numbers.
They have the same digit, i.e., 5 at the crores place.
They have the same digit, i.e., 6 at the ten lakhs place.
They have the same digit, i.e., 9 at the lakhs place.
They have the same digit, i.e., 4 at the ten thousands place.
However, at the thousands place, one number has 4 while the others have 3 .
$\therefore$ 56944000 is the largest.
The other two numbers have 3 and 2 at their hundreds places.
Clearly, 2 < 3
$\therefore$ 56943201 < 56943300
The given numbers in ascending order are:
5694437 < 5695440 < 56943201 < 56943300 < 56944000
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Question 74 Marks
Arrange the following numbers in ascending order:
9873426, 24615019, 990357, 9874012, 24620010
Answer
990357 is 6 digit number.
9873426 and 9874012 are both 7-digit numbers.
Both the numbers have the same digits, namely 9, 8 and 7, at the ten lakhs, lakhs and ten thousands places, respectively.
However, the digits at the thousands place in 9873426 and 9874012 are 3 and 4, respectively.
Clearly, 4 < 7
$\therefore$ 9873426 < 9874012
24615019 and 24620010 are both 8-digit numbers.
Both the numbers have the same digits, namely 2, 4 and 6, at the crores, ten lakhs and lakhs places, respectively.
However, the digits at the ten thousands place in 24615019 and 24620010 are 2 and 1, respectively.
Clearly, 1 < 2
$\therefore$ 24615019 < 24620010
The given numbers in ascending order are:
990357 < 9873426 < 9874012 < 24615019 < 24620010
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