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Published on: 24/10/2025
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Questions + Answers key
Take MCQ Mathematics Test

1.
Take three large numbers. Express them in both Indian and International System.
2.
Compare 4875 and 4889; also compare 4875 and 4879.
3.
From an iron rod 6 m long, a piece of length 3 m 65 cm is cut-off. What is the length of the remaining piece?
4.
A garment factory produced 216315 shirts, 182736 trousers and 58,704 jackets in a year. What is the total production of all the three items in that year?
5.
A box contains 50 packets of biscuits, each weighing 120 g. How many such boxes can be loaded in a van, which cannot carry beyond 900 kg?
6.
The monthly fee for a student in a school is Rs.480. If there are 620 students in the school. Then, find the total monthly collection of fees.
7.
Name five large cities in India. Find their population. Also, find the distance (in km) between each pair of these cities.
8.
Read these numbers
(i) 527864
(ii) 95432
(iii) 18950049
(iv) 70002509
(a) Write these numbers using placement boxes and then using commas in Indian system of numeration as well as Intemational system of numeration.
(b) Arrange these in ascending and descending orders.
9.
Read and expand the numbers wherever there are blanks.
| Number | Number name | Expansion |
| 3,00,000 | Three lakhs | 3 \(\times\) 1,00,000 |
| 3,50,000 | Three lakhs fifty thousands | 3 \(\times\) 1,00,000+ 5 \(\times\)10,000 |
| 3,53,500 | Three lakhs fifty three thousands five hundreds | 3 \(\times\) 1,00,000+ 5 \(\times\) 10,000 + 3 \(\times\) 1,000+ 5 \(\times\) 100 |
| 4,57,928 | ||
| 4,07,928 | ||
| 4,00,829 | ||
| 4,00,029 |
10.
Find the greatest and the smallest numbers. 6895, 23787, 24569, 24659.
1.
| Large Number | Indian System | International System |
| (1) 416753 | 4,16,753 Four lakh sixteen thousand seven hundred fifty three. |
416,753 Four hundred sixteen thousand seven hundred fifty three. |
| (2) 27640038 | 2,76,40,038 Two crore seventy six lakh forty thousand thirty eight. |
27,640,038 Twenty seven million six hundred forty thousand thirty eight. |
| (3) 60003608 | 6,00,03,608 Six crore three thousand six hundred eight. |
60,003,608 Sixty million three thousand six hundred eight. |
2.
In 4875 and 4889, the number of digits is the same (four). So, we look for their leftmost digits. These are also the same (4). So, we look for next digits. These are also the same (8). So, we look for still next digits. These are 7 and 8 in the first and the second numbers respectively. As 8 > 7, so, the number 4889 is greater.
In 4875 and 4879, the number of digits is the same (four). Their leftmost digits are also the same (4). Their next digits are also the same (8). Their still next digits are also the same (7). Now we look for their unit's digits which are 5 and 9 respectively in the first and the second numbers. As 9 > 5, so, the number 4879 is greater.
3.
2 m 35 cm
4.
According to the question,
A garment factory produced shirts = 216315
Produced trousers = 182736
Produced jackets = 58704
∴Total production of all the three items in that year
= Sum of all items
= 216315 + 182736 + 58704 = 457755
Hence, the total production of all the three items in that year is 457755.
5.
Given, total number of packets = 50
Weight of each packet = 120 g
Weight of a box = 50 \(\times\) 120 g = 6000 g= 6 kg [∵ 1000 g = 1 kg]
∴ Required number of boxes = \(\frac{900}{6}=150\)
6.
Rs.297600
7.
The names of five large cities in India are Delhi, Bengaluru, Kolkata, Hyderabad and Chennai.
Process of making the pair of cities are given below:
We have, Delhi, Bengaluru, Kolkata, Hyderabad and Chennai
First, we take Delhi as base city
So,
Now, we take Bengaluru as base city.
Now, we take Kolkata as base city.
So,
Now, we take Hyderabad as base city.
So,
Their respective population can be taken from a book of general awareness. However, the distance (in kilometres) between each pair of these cities is given below:
| Cities in pair | Distance between two cities (in km) |
| Delhi - Bengaluru | 2019 |
| Delhi - Kolkata | 1442 |
| Delhi - Hyderabad | 1453 |
| Delhi - Chennai | 2157 |
| Bengaluru - Kolkata | 1883 |
| Bengaluru - Hyderabad | 566 |
| Bengaluru- Chennai | 334 |
| Kolkata - Hyderabad | 1516 |
| Kolkata - Chennai | 1678 |
| Hyderabad - Chennai | 704 |
These are the national distances between the cities.
8.
After reading these number, we have
(i) 527864 Five lakhs twenty seven thousands eight hundreds sixty four.
(ii) 95432 Ninety five thousands four hundreds thirty two.
(iii) 18950049 One crore eighty nine lakhs fifty thousands forty nine.
(iv) 70002509 Seven crores two thousand five hundreds nine.
(a) By USIng placement boxes, gIven number can be written as
By using the commas, given numbers can be written as :
| Number | Crores | Ten lakhs | Lakhs | Ten Thousands | Thousands | Hundreds | Tens | Ones |
| 52786 | - | - | 5 | 2 | 7 | 8 | 6 | 4 |
| 95432 | - | - | - | 9 | 5 | 4 | 3 | 2 |
| 1895004 | 1 | 8 | 9 | 5 | 0 | 0 | 4 | 9 |
| 70002509 | 7 | 0 | 0 | 0 | 2 | 5 | 0 | 9 |
(b) Ascending order of these numbers are as follow:
95432 < 527864 < 18950049 < 70002509
Descending order of these numbers are as follow:
70002509> 18950049> 527864 > 95432.
9.
The remaining blanks are shown as below with appropriate number, name and expansion
| Number | Number name | Expansion |
| 4,57,928 | Four lakhs fifty seven thousands nine hundreds twenty eigh | 4 \(\times\) 10,00,00 + 5 \(\times\) 10,000 + 7 \(\times\) 1,000+ 9 \(\times\) 100 + 2 \(\times\) 10 + 8 \(\times\)1 |
| 4,07,928 | Four lakhs seven thousands nine hundreds twenty eight | 4 \(\times\) 1,00,000+ 7 \(\times\) 1,000 + 9 \(\times\) 100 + 2 \(\times\) 10 + 8 \(\times\) 1 |
| 4,00,829 | Four lakhs eight hundreds twenty nine | 4 \(\times\) 1,00,000 + 8 \(\times\) 100 + 2 \(\times\) 10 + 9 \(\times\) 1 |
| 4,00,029 | Four lakhs twenty nine | 4 \(\times\) 1,00,000+ 2 \(\times\) 10 + 9 \(\times\) 1 |
10.
We have, 6895, 23787, 24569, 24659
Here, 6895 is a 4-digit number and other numbers are 5 digits, so it is clear that 6895 is the smallest number. Now, in remaining three numbers, the digit at ten thousands place is same in each number. So, we compare the thousands place digit.
∵ 4>3
Again, in two numbers, digit at thousands place is same. So, we compare the hundreds place digit.
∵ 6>5
∴ The greatest number is 24659 and smallest number is 6895.
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