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Question 12 Marks
The mass of brick is 2kg 750g. What is the total mass of 14 such bricks?
Answer
The mass of brick 2kg 750g = 2750g
The total mass of 14 such bricks 2750 × 14 = 38500g = 38kg 500g.
The total mass of 14 such bricks is 38kg 500g.
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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 × 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 2m 75cm of cloth is needed. How much length of the cloth will be required for 16 such shirts?
Answer
2m 75cm = 2 × 100 + 75 = 200 + 75 = 275cm.
The cloth will be remained for 16 such shirt 275 × 16 = 4400cm = 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 30kg 250g and the mass of the empty cylinder is 14kg 480g. How much is the mass of the gas contained in it?
Answer
The mass of cylinder filled with gas 30kg 250g.
The mass of empty cylinder is 14kg 480g.
30kg 250g - 14kg 480g = 15kg 770g.
15kg 770g 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, 14m 80cm of cloth is needed. How much length of the remaining piece?
Answer
For making 8 trousers cloth needed
14m 80cm = 14 × 100 + 80 = 1400 + 80 = 1480cm
The cloth will be required for each trouser 1480 ÷ 8 = 185cm = 1m 85 cm.
1m 85cm 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 10kg 600g. What is the mass of each such packet?
Answer
The total mass of 8 packets
10kg 600g = 10 × 1000 + 600 = 10000 + 600 = 10600g.
Then, the mass of each such packet 10600 ÷ 8 = 1325 = 1kg 325g.
Ans. The mass of each such packet is 1kg 325g.
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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 × 12 = 105072.
Then, in 13 years he saves 105072 × 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 1485km in 1 hour. How much distance will it cover in 72 hours?
Answer
In 1 hour the Aeroplane covers 1485km.
Then, the distance will it cover inb 72 hours 1485 × 72 = 106920km.
The aeroplane will 106920km 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 × 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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