Exercise 1.2 - Chapter 1 - Knowing Our Numbers - Ncert Solutions class 6 - Maths

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Question 1:
A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

Answer 1:
Number of tickets sold on first day $=1,094$
Number of tickets sold on second day $=1,812$
Number of tickets sold on third day $=2,050$
Number of tickets sold on fourth day $\equiv+2,751$
Total tickets sold
$=7,707$

Therefore, 7,707 tickets were sold on all the four days.

Question 2:
Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?

Answer 2:
Runs to achieve
$=10,000$
Runs scored
$\equiv-6,980$
Runs required
$\equiv 3,020$
Therefore, he needs 3,020 more runs.

Question 3:
In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured $3,48,700$ votes. By what margin did the successful candidate win the election?

Answer 3:
Number of votes secured by successful candidates $=5,77,500$
Number of votes secured by his nearest rival $\equiv-3,48,700$
Margin between them $\equiv 2,28,800$
Therefore, the successful candidate won by a margin of $2,28,800$ votes.

Question 4:
Kirti Bookstore sold books worth ₹2,85,891 in the first week of June and books worth $₹ 4,00,768$ in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

Answer 4:
Books sold in first week $=2,85,891$
Books sold in second week
Total books sold

$
\begin{aligned}
& =2,85,891 \\
& =+4,00,768 \\
& \equiv \quad 6,86,659
\end{aligned}
$
Since, $4,00,768,>2,85,891$
Therefore sale of second week is greater than that of first week.
Books sold in second week

$
\begin{aligned}
& =4,00,768 \\
& =-2,85,891 \\
& =1,14,877
\end{aligned}
$

Books sold in first week

More books sold in second week
Therefore, $1,14,877$ more books were sold in second week.

Question 5:
Find the difference between the greatest and the least number that can be written using the digits $6,2,7,4,3$ each only once.

Answer 5:
Greatest five-digit number using digits 6,2,7,4,3

$
\begin{aligned}
& =76432 \\
& \equiv-23467 \\
& \equiv \quad 52965
\end{aligned}
$
Smallest five-digit number using digits 6,2,7,4,3
Difference
Therefore the difference is 52965 .

Question 6:
A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

Answer 6:
Number of screws manufactured in one day $\quad=2,825$
Number of days in the month of January ( 31 days) $=2,825 \times 31$
= 87,575

Therefore, the machine produced 87,575 screws in the month of January.

Question 7:

A merchant had ₹78,592 with her. She placed an order for purchasing 40 radio sets at ₹1,200 each. How much money will remain with her after the purchase?

Answer 7:

Question 8:
A student multiplied 7236 by 65 instead of multiplying by 56 . By how much was his answer greater than the correct answer?

Answer 8:

$\begin{aligned}
\text { Difference in answers } & =470340-405216 \\
& =65,124
\end{aligned}$

Question 9:
To stitch a shirt 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?

Answer 9:
Cloth required to stitch one shirt $\quad=2 \mathrm{~m} 15 \mathrm{~cm}$
$=2 \times 100 \mathrm{~cm}+15 \mathrm{~cm}$
$=215 \mathrm{~cm}$
Length of cloth $=40 \mathrm{~m}=40 \times 100 \mathrm{~cm}=4000 \mathrm{~cm}$
Number of shirts can be stitched $\quad=4000 \div 215$

Therefore, 18 shirts can be stitched and $130 \mathrm{~cm}(1 \mathrm{~m} 30 \mathrm{~cm})$ cloth will remain.

Question 10:
Medicine is packed in boxes, each weighing 4 kg 500 g . How many such boxes can be loaded in a can which cannot carry beyond 800 kg ?

Answer 10:
The weight of one box $=4 \mathrm{~kg} 500 \mathrm{~g}=4 \mathrm{x} 1000 \mathrm{~g}+500 \mathrm{~g}=4500 \mathrm{~g}$
Maximum load can be loaded in van $=800 \mathrm{~kg}=800 \times 1000 \mathrm{~g}=800000 \mathrm{~g}$
Number of boxes $=800000 \div 4500$

Therefore, 177 boxes can be loaded. 

Question 11:
The distance between the school and the house of a student's house is 1 km 875 m . Every day she walks both ways. Find the total distance covered by her in six days.

Answer 11:

Question 12:
A vessel has 4 litres and 500 ml of curd. In how many glasses each of 25 ml capacity, can it be filled?

Answer 12:
Capacity of curd in a vessel $=4$ litres $500 \mathrm{ml}=4 \times 1000 \mathrm{ml}+500 \mathrm{ml}=4500 \mathrm{ml}$
Capacity of one glass $=25 \mathrm{ml}$
Number of glasses can be filled $=4500 \div 25$

Therefore, 180 glasses can be filled by curd.