10,00,000
9,99,99,999
5 × 1000 = 5000
7 × 10,00,000 + 6 × 1,00,000 + 7 × 10,000 + 0 + 9 × 100 + 0 + 5 × 1
(or)
70,00,000 + 6,00,000 + 70,000 + 900 + 5
10,00,000
9,99,99,999
5 × 1000 = 5000
7 × 10,00,000 + 6 × 1,00,000 + 7 × 10,000 + 0 + 9 × 100 + 0 + 5 × 1
(or)
70,00,000 + 6,00,000 + 70,000 + 900 + 5
True
False
False
False
True
False
False
False
Smallest 6 digit number = 1,00,000
= \(\frac{100000}{10000}\) = 10
1 Lakh = 10 Ten Thousands
Smallest 6 digit number = 1,00,000
= \(\frac{100000}{10000}\) = 10
1 Lakh = 10 Ten Thousands
Given digits = 5, 2, 0, 7, 3
Largest 5 digit number – 75320
Smallest 5 digit number – 20357
Given digits = 5, 2, 0, 7, 3
Largest 5 digit number – 75320
Smallest 5 digit number – 20357
(i) 70,00,000
(ii) 7,000,000
(i) 70,00,000
(ii) 7,000,000
347,056
7,345,671
634,567,105
1,234,567,890
347,056
7,345,671
634,567,105
1,234,567,890
Largest 6 digit number = 9,99,999
Indian System: 9,99,999 (Nine Lakh Ninety-Nine Thousand Nine Hundred Ninety-Nine)
International System: 999,999 (Nine Hundred Ninety-Nine Thousand, Nine Hundred Ninety-Nine)
Largest 6 digit number = 9,99,999
Indian System: 9,99,999 (Nine Lakh Ninety-Nine Thousand Nine Hundred Ninety-Nine)
International System: 999,999 (Nine Hundred Ninety-Nine Thousand, Nine Hundred Ninety-Nine)
(i) Seventy-five lakh thirty-two thousand one hundred five.
(ii) Nine crore seventy-five lakh sixty-three thousand four hundred fifty-three.
(i) Seventy-five lakh thirty-two thousand one hundred five.
(ii) Nine crore seventy-five lakh sixty-three thousand four hundred fifty-three.
Three hundred forty-five thousand six hundred seventy-eight.
Eight million three hundred forty-three thousand seven hundred ten.
One hundred three million four hundred fifty-six thousand seven hundred eighty-nine.
Three hundred forty-five thousand six hundred seventy-eight.
Eight million three hundred forty-three thousand seven hundred ten.
One hundred three million four hundred fifty-six thousand seven hundred eighty-nine.
2,30,51,980
66,345,027
789,213,456
2,30,51,980
66,345,027
789,213,456
26,345
26,345
1,000,000 (One Million)
Objective Type Questions
1,000,000 (One Million)
Objective Type Questions
- A. 100 crore
- B. 100 million
- C. 100 lakh
- D. 10000 lakh
(a) 100 crore
(a) 100 crore
- A. 1000001
- B. 10000001
- C. 9999999
- D. 100001
(b) 10000001
(b) 10000001
- A. 90000
- B. 1
- C. 2
- D. 99001
(c) 2
(c) 2
- A. 6 × 10000 + 7 × 1000 + 9 × 100 + 5 × 1
- B. 6 × 10000 + 7 × 1000 + 0 × 100 + 9 × 100 + 0 × 10 + 5 × 1
- C. 6 × 1000000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1
- D. 6 × 100000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1
(d) 6 × 100000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1
Posted in Class 6 on January 19, 2025 January 20, 2025
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(d) 6 × 100000 + 7 × 10000 + 0 × 1000 + 9 × 100 + 0 × 10 + 5 × 1
Posted in Class 6 on January 19, 2025 January 20, 2025
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<
>
=
<
>
=
False
Hint: 1000000 – 999999 = 1
False
Hint: 9999 – 999 = 9000
True
False
Hint: 1000000 – 999999 = 1
False
Hint: 9999 – 999 = 9000
True
We know that the number with more digits is greater.
The greatest number is 1386787215
The smallest number is 86720560
We know that the number with more digits is greater.
The greatest number is 1386787215
The smallest number is 86720560
128435 > 25840 > 21354 > 10835 > 6348
128435 > 25840 > 21354 > 10835 > 6348
76594231
86493725
76594231
86493725
974, 947, 479, 497, 749, 794
974, 947, 479, 497, 749, 794
Given digits are 9, 4, 6, and 8.
The smallest number with these digits is 4689 Given that it is an even number.
It may be 4698.
So password of the ATM card is 4698.
Given digits are 9, 4, 6, and 8.
The smallest number with these digits is 4689 Given that it is an even number.
It may be 4698.
So password of the ATM card is 4698.
Largest Postal Index Number = 631603
Smallest Postal Index Number = 631036
Largest Postal Index Number = 631603
Smallest Postal Index Number = 631036
- A. 1468, 1486, 1484
- B. 2345, 2435, 2235
- C. 134205, 134208, 154203
- D. 383553, 383548, 383642
(c) 134205, 134208, 154203
(c) 134205, 134208, 154203
- A. 1489000 and 1492540
- B. 1489000 and 1490540
- C. 1490000 and 1490100
- D. 1480000 and 1490000
(a) 1489000 and 1492540
(a) 1489000 and 1492540
v- A. 8
- B. 52
- C. 77
- D. 26
(d) 26
Posted in Class 6 on January 19, 2025 January 20, 2025
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(d) 26
Posted in Class 6 on January 19, 2025 January 20, 2025
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12 × 30 = ₹ 360
\(\frac{1800}{12}=150\)
45 ÷ 15 – 2 = 3 – 2 = 1
12 × 30 = ₹ 360
\(\frac{1800}{12}=150\)
45 ÷ 15 – 2 = 3 – 2 = 1
False
Hint: 3 + 9 × 8 = 3 + 72 = 75
True
Hint: 7 × 20 – 4 = 140 – 4 = 136
False
Hint: 40 + 50 ÷ 2 = 40 + 25 = 65
False
Hint: 3 + 9 × 8 = 3 + 72 = 75
True
Hint: 7 × 20 – 4 = 140 – 4 = 136
False
Hint: 40 + 50 ÷ 2 = 40 + 25 = 65
People visited the library for past 5 months = 1200 + 2000 + 2450 + 3060 + 3200 = 11910
Total people visited = 11910
People visited the library for past 5 months = 1200 + 2000 + 2450 + 3060 + 3200 = 11910
Total people visited = 11910
Bank Savings of Cheran = ₹ 7,50,250
Withdrew Amount = ₹ 5,34,500
Balance Amount = ₹ 2,15,750
Bank Savings of Cheran = ₹ 7,50,250
Withdrew Amount = ₹ 5,34,500
Balance Amount = ₹ 2,15,750
Bicycles manufactured in one day = 1560
Bicycles manufactured in 25 days = 1560 × 25
= 39,000 bicycles
Bicycles manufactured in one day = 1560
Bicycles manufactured in 25 days = 1560 × 25
= 39,000 bicycles
Total amount = Rs 62500
Total number of employees = 25
Bonus amount received by each employee = Rs 62500 ÷ 25
= RS \(\frac{62500}{25}\)
= Rs 2500
Total amount = Rs 62500
Total number of employees = 25
Bonus amount received by each employee = Rs 62500 ÷ 25
= RS \(\frac{62500}{25}\)
= Rs 2500
(i) (10 + 17) ÷ 3
= 27 ÷ 3
= 9
(ii) 12 – [3 – {6 – (5 – 1)}]
= 12 – [3 – (6 – 4)]
= 12 – [3 – 2]
= 12 – 1
= 11
(iii) 100 + 8 ÷ 2 + {(3 × 2) – 6 ÷ 2}
= 100 + 8 ÷ 2 + {6 – 3}
= 100 + 8 ÷ 2 + 3
= 100 + 4 + 3
= 107
Objective Type Questions
(i) (10 + 17) ÷ 3
= 27 ÷ 3
= 9
(ii) 12 – [3 – {6 – (5 – 1)}]
= 12 – [3 – (6 – 4)]
= 12 – [3 – 2]
= 12 – 1
= 11
(iii) 100 + 8 ÷ 2 + {(3 × 2) – 6 ÷ 2}
= 100 + 8 ÷ 2 + {6 – 3}
= 100 + 8 ÷ 2 + 3
= 100 + 4 + 3
= 107
Objective Type Questions
- A. 0
- B. 12
- C. 3
- D. 4
(b) 12
24 ÷ {8 – 3 × 2} = 24 ÷ {8 – 6} = 24 ÷ 2 = 12
(b) 12
24 ÷ {8 – 3 × 2} = 24 ÷ {8 – 6} = 24 ÷ 2 = 12
- A. +
- B. –
- C. ×
- D. ÷
(c) ×
2 ….. 6 – 12 ÷ 6 = 10
⇒ 2 ….. 6 – 2 = 10
⇒ 2 × 6 – 2 = 10
Posted in Class 6 on January 19, 2025 January 20, 2025
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(c) ×
2 ….. 6 – 12 ÷ 6 = 10
⇒ 2 ….. 6 – 2 = 10
⇒ 2 × 6 – 2 = 10
Posted in Class 6 on January 19, 2025 January 20, 2025
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(i) 800.
The digit in tens place is 4 < 5
(ii) 1000.
The digit in hundred places is 7 ≥ 5
(iii) 90,000.
The digit in a thousand places is 5 ≥ 5
(i) 800.
The digit in tens place is 4 < 5
(ii) 1000.
The digit in hundred places is 7 ≥ 5
(iii) 90,000.
The digit in a thousand places is 5 ≥ 5
(i) False
Hint: In one’s place the digit is 7 ≥ 5. So 8580
(ii) True
Hint: In tens place, we have 3 < 5. So 100
(iii) False
Hint: In ten thousand places the digit is 5 ≥ 5. So 1,71,000,000
(i) False
Hint: In one’s place the digit is 7 ≥ 5. So 8580
(ii) True
Hint: In tens place, we have 3 < 5. So 100
(iii) False
Hint: In ten thousand places the digit is 5 ≥ 5. So 1,71,000,000
(i) 4100
(ii) 45,000
(iii) 90,000
(iv) 51,00,000
(v) 30,00,00,000
(i) 4100
(ii) 45,000
(iii) 90,000
(iv) 51,00,000
(v) 30,00,00,000
= 157826 + 32469
= 190295
When rounded off to nearest ten thousand = 1,90,000
Decimal numbers can be rounded to the nearest hundredth by observing the digit in the thousandths place.
= 157826 + 32469
= 190295
When rounded off to nearest ten thousand = 1,90,000
Decimal numbers can be rounded to the nearest hundredth by observing the digit in the thousandths place.
(i) 8074 + 4178 = 12,252
When rounded off to nearest hundred 12,300
(ii) 1768977 + 130589 = 18,99,566
When rounded off to nearest hundred = 18,99,600
(i) 8074 + 4178 = 12,252
When rounded off to nearest hundred 12,300
(ii) 1768977 + 130589 = 18,99,566
When rounded off to nearest hundred = 18,99,600
Population in 2001 = 43,43,645
Population in 2011 = 46,81,087
Increase in population = 46,81,087 – 43,43,645 = 3,37,442
When rounded off to the nearest thousand = 3,37,000
Objective Type Questions
Population in 2001 = 43,43,645
Population in 2011 = 46,81,087
Increase in population = 46,81,087 – 43,43,645 = 3,37,442
When rounded off to the nearest thousand = 3,37,000
Objective Type Questions
- A. 10345
- B. 10855
- C. 11799
- D. 10056
(b) 10855
(b) 10855
- A. 77000
- B. 76000
- C. 76800
- D. 76900
(c) 76800
In tens place the digit is 1 < 5, So 76800
(c) 76800
In tens place the digit is 1 < 5, So 76800
- A. 9800000
- B. 9786000
- C. 9795600
- D. 9795000
(a) 9800000
(a) 9800000
- A. 180000
- B. 165000
- C. 140000
- D. 155000
(b) 165000
Posted in Class 6 on January 3, 2025 January 4, 2025
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(b) 165000
Posted in Class 6 on January 3, 2025 January 4, 2025
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(i) 1
(ii) 34
(iii) Zero
(iv) 0
(v) 1
(i) 1
(ii) 34
(iii) Zero
(iv) 0
(v) 1
False
False
True
True
True
False
False
True
True
True
Commutativity for addition
Associativity for multiplication
Zero is the additive identity
One is the multiplicative identity
Distributivity of multiplication over addition
Commutativity for addition
Associativity for multiplication
Zero is the additive identity
One is the multiplicative identity
Distributivity of multiplication over addition
(i) 50 × 102
= 50 × (100 + 2)
= (50 × 100) + (50 × 2)
= 5000 + 100 = 5100
(ii) 500 × 689 – 500 × 89
= 500 × (689 – 89)
= 344500 – 44500
= 300000
= 500 × (689 – 89)
= 500 × 600
= 3,00000
(iii) (4 × 132) × 25
= 4 × (132 × 25)
= (4 × 132) × 25
= 528 × 25
= 13200
= 4 × (132 × 25)
= 4 × 3300
= 13200
(iv) (196 + 34) + 104 = 196 + (34 + 104)
(196 + 34) + 104 = 230 + 104 = 334
196 + (34 + 104) = 196 + 138 = 334
Objective Type Questions
(i) 50 × 102
= 50 × (100 + 2)
= (50 × 100) + (50 × 2)
= 5000 + 100 = 5100
(ii) 500 × 689 – 500 × 89
= 500 × (689 – 89)
= 344500 – 44500
= 300000
= 500 × (689 – 89)
= 500 × 600
= 3,00000
(iii) (4 × 132) × 25
= 4 × (132 × 25)
= (4 × 132) × 25
= 528 × 25
= 13200
= 4 × (132 × 25)
= 4 × 3300
= 13200
(iv) (196 + 34) + 104 = 196 + (34 + 104)
(196 + 34) + 104 = 230 + 104 = 334
196 + (34 + 104) = 196 + 138 = 334
Objective Type Questions
- A. 102
- B. 0
- C. 1
- D. 53 + 49 × 0
(b) 0
(b) 0
- A. an even number
- B. an odd number
- C. zero
- D. none of these
(a) an even number
(a) an even number
- A. 10
- B. 0
- C. 1
- D. none of these
(b) 0
(b) 0
- A. 0 × 0
- B. 0 + 0
- C. \(\frac{2}{0}\)
- D. \(\frac{0}{2}\)
(c) \(\frac{2}{0}\)
Dividing by 0 is not defined.
(c) \(\frac{2}{0}\)
Dividing by 0 is not defined.
- A. (4237 + 5498) + 3439 = 4237 + (5498 + 3439)
- B. (4237 × 5498) × 3439 = 4237 × (5498 × 3439)
- C. 4237 + 5498 × 3439 = (4237 + 5498) × 3439
- D. 4237 × (5498 + 3439) = (4237 × 5498) + (4237 × 3439)
(c) 4237 + 5498 × 3439 = (4237 + 5498) × 3439
Posted in Class 6 on January 19, 2025 January 20, 2025
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(c) 4237 + 5498 × 3439 = (4237 + 5498) × 3439
Posted in Class 6 on January 19, 2025 January 20, 2025
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87543
87543
No of apple bags = 25
Apples in each bag = 9
Total no of apples = 25 × 9 = 225
Apples shared among her 6 friends = 225 ÷ 6
So, among her 6 friends, each of them gets 37 apples and 3 apples are leftover.
No of apple bags = 25
Apples in each bag = 9
Total no of apples = 25 × 9 = 225
Apples shared among her 6 friends = 225 ÷ 6
So, among her 6 friends, each of them gets 37 apples and 3 apples are leftover.
No of eggs produced = 15472
No of eggs fits in a tray = 30
No of trays required = 15472 ÷ 30
Trays required = 515 + 1 (to fit the remaining 22 eggs) = 516
Quotient = 515
Remainder = 22
Challenging Problems
No of eggs produced = 15472
No of eggs fits in a tray = 30
No of trays required = 15472 ÷ 30
Trays required = 515 + 1 (to fit the remaining 22 eggs) = 516
Quotient = 515
Remainder = 22
Challenging Problems
There are more than one answers.
One of them is 54781
Some of the other numbers maybe 64783, 74785, 84787 and so on.
There are more than one answers.
One of them is 54781
Some of the other numbers maybe 64783, 74785, 84787 and so on.
Total no of chairs to be put = 7,689
Chairs in each row = 90
No of rows = 7689 ÷ 90
Hence, 84 + 1 = 85 rows are required to fill 7650 chairs
Chairs left over = 79 (If the no of rows = 84)
Total no of chairs to be put = 7,689
Chairs in each row = 90
No of rows = 7689 ÷ 90
Hence, 84 + 1 = 85 rows are required to fill 7650 chairs
Chairs left over = 79 (If the no of rows = 84)
Yes. Both are same (30,00,000)
Yes. Both are same (30,00,000)
(i) 14276 \(\simeq\) 10000
(ii) 1,86945 \(\simeq\) 1,90000
Posted in Class 6 on January 19, 2025 January 20, 2025
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(i) 14276 \(\simeq\) 10000
(ii) 1,86945 \(\simeq\) 1,90000
Posted in Class 6 on January 19, 2025 January 20, 2025
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