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Published on: 15/02/2019
Knowing our Numbers Important Questions
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Questions + Answers key
Take MCQ Mathematics Test
1.
XXXX, VX, IC, XVV are not written. Can you tell why?
2.
Write in the Hindu-Arabic numerals for the following LXXVI
3.
Express the following number as a roman numerals 596
4.
What is 10000000 - 1=?
5.
Use the following digits without repetition and make the greatest and smallest 4-digit numbers
9,7,4,1.
6.
Solve the following using Brackets.
54 \(\times\) 105
7.
Aman multiplied 6241 by 64 instead of multiplying by 46. By how much was his answer greater than the correct answer?
8.
From the digits 3, 0 and 4, make five numbers each with 6-digits. Use commas.
9.
Take two digits, say 2 and 3. Make 4-digit numbers using both the digits equal number of times.
(i) Which is the greatest number?
(ii) Which is the smallest number?
(iii} How many different numbers can you make in all?
10.
Make the greatest and the smallest 4-digit numbers by using anyone digit twice. 3, 8, 7.
11.
Make ten such examples of ascending/ descending order and solve them.
12.
India's population has been steadily increasing from 439 millions in 1961 to 1028 millions in 2001. Find the total increase in population from 1961 to 2001. Write the increase in population in Indian system of numeration, using commas suitably.
13.
You have the digits 4, 5, 6, 0, 7 and 8. Using them, make five numbers each with 6-digits.
(a) Put commas for easy reading.
(b) Arrange them in ascending and descending orders.
14.
In Raman numerals M stands for
1000
100
10
none of these
15.
Arrange the following numbers in descending order: 4000, 8500,50600, 7235.
50600, 8500, 7235, 4000
50600, 8500, 4000, 7235
50600,7235, 8500, 4000
50600,7235, 4000, 8500
16.
Take two digits, say 1 and 2. Make the greatest 4-digit number using both the digits equal number of times
1122
2112
2121
2211
17.
The smallest 4-digit number that can be made using the digits 1, 8, 5, 3 without repetition is
1583
1538
1385
1358
18.
The smallest of the number 1000, 50000, 111, 3222, 225 is
111
225
1000
3222
19.
The number formed by interchanging the digits 6 and 2 in 465271 is
467521
425671
165274
None of these
20.
In Indian system of numeration, the number 58695376 is written as
58,69,53,76
58,695,376
5,86,95,376
586,95,376
21.
In Indian system of numeration, the number 61711682 is written, using commas, as -------
22.
LXXV is greater than LXXIV.
23.
How many millions make a crore?
1.
XXXX is not written because a symbol is not repeated more than three times; VX is not written because V is never subtracted; IC is not written because I can be subtracted from V and X only ; XVV is not written because V is never repeated.
2.
76
3.
596 = 500 +90 + 6= DXCVI [∵ 500= 0, 90=100-10=XC, 6=5 +1= VI]
4.
10000000 -1 = 9999999
5.
For getting the smallest number, firstly we convert the numbers into ascending order.
The smallest 4-digit number is 1479.
For getting greatest number, firstly we convert the numbers into descending order.
The greatest 4-digit number is 9741.
6.
54 \(\times\) 105 = 54 \(\times\) (100 + 5)
= 5400 + 54 \(\times\) 5 = 5400 + 270 = 5670
7.
Rs.112338
8.
Given digits are 3, 0 and 4.
We can make many numbers by using these digits, five of them are as follows:
(i) 330443 (ii) 343404 (iii) 344430 (iv) 434043 (v) 344034
Using commas, these numbers can be rewritten as :
(i) 3,30,443 (ii) 3,43,404 (iii) 3,44,430 (iv) 4,34,043 (v) 3,44,034
9.
Two given digits are 2 and 3. We want to make 4-digit numbers using both the digit equal number of times.
The possible 4-digit numbers are 2233, 3322, 2332, 3223, 2323 and 3232.
(i) The greatest number is 3322.
(ii) The smallest number is 2233.
(iii) We can make 6 different numbers in all.
10.
Given digits are 3, 8 and 7.
Here, descending order of the given digits is 8, 8, 7, 3. [∵ greatest digit 8 is taken twice]
∴ Greatest 4-digit number = 8873
and ascending order of the given digits is 3, 3, 7, 8. [∵ smallest digit 3 is taken twice]
∴ Smallest 4-digit number = 3378
11.
Ten such examples of ascending/ descending order are as follows:
Arrange the following numbers in ascending order:
Ex. 1.958, 9865, 9431, 682
Ex. 2. 736 8643, 7210, 460
Ex. 3. 625, 7532, 6101, 350
Ex. 4. 514, 6421, 5012, 240
Ex. 5. 403, 5310, 4001, 130
The numbers arranged in ascending order are as follows:
1. 682, 958, 9431, 9865
2. 460, 736, 7210, 8643
3. 350, 625, 6101, 7532
4. 240, 514, 5012, 6421
5.130, 403, 4001, 5310
Arrange the following numbers in descending order:
Ex. 1. 6000, 8600, 86500, 8972
Ex. 2. 7000, 6400, 74300, 6750
Ex. 3.2892, 56432, 99826, 93658
Ex. 4. 2760, 34210, 66604, 81436
Ex. 5.1650, 23101, 55513, 70328.
The numbers arranged in descending order are as follows:
1. 86500, 8972, 8600, 6000
2. 74300, 7000, 6750, 6400
3. 99826, 93658, 56432, 2892
4. 81436, 66604, 34210, 2760
5. 70328, 55513, 23101,1650.
12.
Given, population of India in 1961 = 439 millions
= 439 \(\times\)1000000 = 439000000 [∵ 1million = 1000000]
and population of India in 2001 = 1028 millions
= 1028\(\times\) 1000000 = 1028000000 [∵ 1 million = 1000000]
∴ Total increase in population from 1961 to 2001
= Population in 2001 - Population in 1961
= 1028000000 - 439000000 = 589000000
= 589 \(\times\) 1000000 = 589 millions
So, the increase population in Indian system of numeration = 58,90,00,000
13.
Given digits are 4, 5, 6, 0, 7 and 8.
We can make many numbers by using these digits, five of them are as follows:
876540, 867540, 876450, 876045 and 867405
(a) After putting commas, numbers are as follows:
(i) 8,76,540 (ii) 8,67,540
(iii) 8,76,450 (iv) 8,76,045
(v) 8,67,405
(b) Ascending order of numbers is as follows:
867405 < 867540 < 876045 < 876450 < 876540
Descending order of numbers is as follows:
876540 > 876450 > 876045 > 867540 > 867405.
14.
(a)
1000
15.
(a)
50600, 8500, 7235, 4000
16.
(d)
2211
17.
(d)
1358
18.
(a)
111
19.
(b)
425671
20.
(b)
58,695,376
21.
According to Indian system of numeration, 6,17,11,682.
22.
(a)
23.
( )
Ten millions make a crore.
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