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

Question 12 Marks
The mass of brick is $2\ kg\ 750\ g.$ What is the total mass of $14 $ such bricks$?$
Answer
The mass of brick $2\ kg\  750\ g = 2750\ g $
The total mass of $14$ such bricks $ 2750 \times 14 = 38500\ g = 38\ kg\ 500\ g.$
The total mass of $14$ such bricks is $38\ kg\ 500\ g.$
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Question 22 Marks
How much money was collected from $1786$ students of a school for a charity show if each student contributed $Rs. 625?$
Answer
Total student $1786$
Each student contributed $625$ rupees
Then, the total collected money $1786 \times 625 = 1116250$
$1116250$ money was collected.
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Question 32 Marks
Round off the following to the nearest thousand:
$4368$
Answer
The number is $4368.$
Its digit at the hundreds place is $3 < 5.$
So, the given number is rounded off to the nearest thousand as $4000.$
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Question 42 Marks
Write the successor and predecessor of $999999$ and find their difference.
Answer
Successor of $999999 = 999999 + 1 = 1000000$
Predecessor of $999999 = 999999 - 1 = 999998$
$\therefore$ Required difference $= 1000000 - 999998 = 2$
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Question 52 Marks
Find the difference between the place values of the two nines in $79520986.$
Answer
The place value of $9$ at ten lakhs place $= 90$ lakhs $= 9000000$
The place value of $9$ at hundreds place $= 9$ hundreds $= 900$
$\therefore$ Required difference $= (9000000 - 900) = 8999100$
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Question 62 Marks
A survey conducted on an Indian state shows that $1623546$ people have only primary education; $9768678$ people have secondary education; $6837954$ people have higher education and $2684536$ people are illiterate. If the number of children below the age of the school admission is $698781,$ find the total population of the state.
Answer
Primary education people are $1623546.$
Secondary education people are $9768678.$
Higher education people are $6837954.$
Illiterate people are $2684536.$
Number of children are $698781. $
In total $= 1623546 + 9768678 + 6837954 + 2684536 + 698781 = 21613495.$
The total Population of the state is $21613495.$
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Question 72 Marks
In order to make a shirt, a length of $2\ m\ 75\ cm$ of cloth is needed. How much length of the cloth will be required for $16$ such shirts?
Answer
$2m 75\ cm = 2 \times 100 + 75 = 200 + 75 = 275\ cm. $
The cloth will be remained for $16$ such shirt $275 \times 16 = 4400\ cm = 44m.$
$44m$ length of the cloth will be required for $16$ such shirts.
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Question 82 Marks
The mass of cylinder filled with gas is $30\ kg\ 250\ g$ and the mass of the empty cylinder is $14\ kg\ 480\ g.$ How much is the mass of the gas contained in it?
Answer
The mass of cylinder filled with gas $30\ kg\ 250\ g.$
The mass of empty cylinder is $14\ kg\  480\ g.$
 $30\ kg\ 250\ g - 14\ kg\ 480\ g = 15\ kg\ 770\ g. $
$15\ kg\ 770\ g$ is the mass of gas contained in it.
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Question 92 Marks
Find the difference between the number $738$ and that obtained on reversing its digits.
Answer
The given number is $738.$
On reversing the digits of this number, we get $837. $
$\therefore$ Required difference $= 837 - 738 = 99$
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Question 102 Marks
How many $6-$digit numbers are there in all$?$
Answer
The largest $6-$digit number $= 999999$
 The smallest $6-$digit number $= 100000$
$\therefore$ Total number of $6-$digit numbers
$= (999999 - 100000) + 1$
$= 899999 + 1 = 900000 = 9$ lakhs
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Question 112 Marks
Round off the following to the nearest thousand: $1046$
Answer
The number is $1046.$
Its digit at the hundreds place is $0 < 5.$
So, the given number is rounded off to the nearest thousand as $1000.$
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Question 122 Marks
The total population of a city is $28756304.$ If the number of males is $16987059, $ find the number of females in the city.
Answer
Total population- $28756304$
The number of males are- $6709570$
Number of females $= 28756304 - 6709570 = 11769245$
The total number of females $11769245.$
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Question 132 Marks
For making $8$ trousers of the same size, $14\ m\ 80\ cm$ of cloth is needed. How much length of the remaining piece$?$
Answer
For making $8$ trousers cloth needed $14\ m\ 80\ cm = 14 \times 100 + 80 = 1400 + 80 = 1480\ cm$
The cloth will be required for each trouser $1480 ÷ 8 = 185\ cm = 1\ m\ 85 \ cm.$
$1\ m\ 85\ cm$ length of the remaining piece.
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Question 142 Marks
There were three candidates in an election. They received $687905$ votes, $495086$ votes and $93756$ votes respectively. The number of invalid votes was $13849.$ If $25467$ persons did not vote, find how many votes were registered.
Answer
The $1st$ candidate received $687905$ votes.
The $2nd$ candidate received $495086$ votes.
The $3rd$ candidate received $93756$ votes.
The invalid votes are $13849$ votes.
The person did not vote $25467 $ votes.
 In total $= 687905 + 495086 + 93756 + 13849 + 25467 = 1316063$ votes.
$1316063$ votes were registered.
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Question 152 Marks
The total mass of $8$ packets, each of the same size, is $10\ kg\ 600\ g.$ What is the mass of each such packet$?$
Answer
The total mass of $8$ packets $10\ kg\ 600\ g = 10 \times 1000 + 600 = 10000 + 600 = 10600\ g.$
Then, the mass of each such packet $10600 ÷ 8 = 1325 = 1\ kg\ 325\ g$.
Ans. The mass of each such packet is $1\ kg\ 325\ g.$
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Question 162 Marks
Mr. Bhasker saves $Rs. 8756$ every month. How much money will he save in $13$  years$?$
Answer
In one year Mr. Bhaskar saves $8756 \times 12 = 105072.$
Then, in $13$ years he saves $105072 \times 13 = 1965936 $
He will save in $13$ years $1965936$ rupees.
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Question 172 Marks
The product of two numbers is $13421408.$ If one of the numbers is $364,$ find the other.
Answer
The product of two numbers $13421408$ One number is 364. Then, the other number is $13421408 ÷ 364 = 36872$ The other number is $36872.$
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Question 182 Marks
Round off the following to the nearest thousand: $973$
Answer
The number is $973.$
Its digit at the hundreds place is $9 > 5.$
So, the given number is rounded off to the nearest thousand as $1000.$
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Question 192 Marks
The sale receipt of a company during a year was $Rs. 20956480.$ Next year, it increased by $Rs. 6709570.$ What were the total sale receipts of the company during these two years?
Answer
In second year, the total sale receipt of the company $20956480 + 6709570 = 27666050$
In $1st$ year the total sale receipt $20956480$
In $2nd$ year the total sale receipt $27666050$
In total $= 20956480 + 27666050 = 48622530$
$48622530$ was the total sale receipt of the company during these two years.
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Question 202 Marks
Find the difference between the place value and the face value of $7$ in $27650934.$
Answer
The place value of $7$ in $27650934 = 70$ lakhs $= 70,00,000$
The face value of $7$ in $27650934 = 7$
$\therefore$ Required difference$ = (7000000 - 7) = 69,99,993$
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Question 212 Marks
A man had $Rs. 10672540$ with him. He gave $Rs. 4836980$ to his wife, $Rs. 3964790$ to his son and the rest to his daughter. How much money was received by the daughter$?$
Answer
He gave to his wife $4836980 $
He gave to his son $3964790$
$4836980 + 3964790 = 8801770$
The money was received by the daughter $10672540 - 8801770 = 1870770$
His daughter received $1870770$ rupees.
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Question 222 Marks
Last year, three sugar factors in a town produced $24809565$ bags, $18738576$ bags and $9564568$ bags of sugar respectively. How many bags were produced by all the three factories during last year$?$
Answer
Last year, First sugar factory produced- $24809565$ Bags.
Second sugar factory produced- $18738576$ Bags.
Third sugar factory produced- $9564568$ Bags.
In total $= 24809565 + 18738576 + 9564568 = 53112709$
$53112709$ bags were produced by all the three factories during last year.
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Question 232 Marks
In a particular year a company produced $8765435$ bicycles. Next year, the number of bicycles produced was $1378689$ more than those produced in the preceding year. How many bicycles were produced during the second year? How many bicycles were produced during these two years?
Answer
In second year, the bicycles produced $8765435 + 1378689 = 10144124.$
In $1st$ year bicycle produced $8765435$
In $2nd$ year bicycle produced $10144124$
In total $= 8765435 + 10144124 = 18909559$
$18909559$ bicycles were produced during these years.
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Question 242 Marks
A society needed $Rs. 18536000$ to buy a property. It collected $Rs. 7253840$ as membership fee. Took a loan of $Rs. 5675450$ from a bank and collected $Rs. 2937680$ as donation. How much is the society still short of$?$
Answer
Membership fee $7253840$
Loan from bank $5675450$
Donation $2937680$
$7253840 + 5675450 + 2937680 = 15866970$
The society still short of $18536000 - 15866970 = 2669030$
$2669030$ is the society still short of.
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Question 252 Marks
The number of persons who visited the holy shrine of Mata Vaishno Devi during last two consecutive years was $13789509$ and $12976498$ respectively. How many persons visited the shrine during these two years$?$
Answer
First year, the number of person visited- $1378950$
In second year, the number of person visited-$ 12976498$
$13789509 + 12976498 = 26766007$
$26766007$ persons were visited the shrine during these two years.
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Question 262 Marks
An aeroplane covers $1485\ km$ in $1$ hour. How much distance will it cover in $72$ hours?
Answer
In 1 hour the Aeroplane covers $1485\ km.$
Then, the distance will it cover inb $72$ hours $1485 \times 72 = 106920\ km.$
The aeroplane will $106920\ km$ cover in $72$ hours.
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Question 272 Marks
Round off the following to the nearest thousand: $5624$
Answer
The number is $5624.$ Its digit at the hundreds place is $6 > 5.$ So, the given number is rounded off to the nearest thousand as $6000.$
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Question 282 Marks
The cost of a chair is $Rs.1485.$ How much will $469$ such chairs cost$?$
Answer
The cost of a chair $1485$
Then, the cost of $469$ such chairs $1485 \times 469 = 696465$
$696465$ will $469$ such chairs cost.
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Question 292 Marks
A man had $Rs. 20000000$ with him. He spent $Rs. 13607085$ on buying a school building. How much money is left with him?
Answer
Total money $20000000$
Spent money $136087085$
$20000000 - 13607085 = 6392915$
$6392915$ money is left with him.
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Question 302 Marks
How many $7-$digit numbers are there in all$?$
Answer
The largest $7-$digit number $= 9999999$
The smallest $7-$digit number $= 1000000$
$\therefore$ Total number of $7-$digit numbers
$= (9999999 - 1000000) + 1 = 8999999 + 1 = 9000000 =$ Ninety lakhs
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