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All questions of Patterns in Mathematics for Class 6 Exam
Sum of 178 and 69 to nearest hundred is
- a)100
- b)200
- c)250
- d)300
Correct answer is option 'B'. Can you explain this answer?
Sum of 178 and 69 to nearest hundred is
a)
100
b)
200
c)
250
d)
300
|
Gunjan Lakhani answered |
To solve this, let's first find the sum of 178 and 69:
178+69=247
Now, we round 247 to the nearest hundred.
- The nearest hundred to 247 is 200 because 247 is closer to 200 than to 300.
So, the sum of 178 and 69 rounded to the nearest hundred is 200.
Answer: 2 (200)
Visualise the square number 64.- a)8 x 8 x 9
- b)8 x 8
- c)8 x 7
- d)8 x 9
Correct answer is option 'B'. Can you explain this answer?
Visualise the square number 64.
a)
8 x 8 x 9
b)
8 x 8
c)
8 x 7
d)
8 x 9
|
|
꧁༒♛𝕾𝖆𝖗𝕜𝖆𝖗♛༒꧂ answered |
64 is the square of 8
8×8='64'
8×8='64'
What is the next number in the sequence 1, 4, 9, 16...?- a)20
- b)24
- c)25
- d)30
Correct answer is option 'C'. Can you explain this answer?
a)
20
b)
24
c)
25
d)
30
|
Dr Manju Sen answered |
This sequence represents square numbers (1x1, 2x2, 3x3, 4x4...). The next number is 5x5, which equals 25.
Which of the following is a square number?- a)20
- b)24
- c)25
- d)30
Correct answer is option 'C'. Can you explain this answer?
a)
20
b)
24
c)
25
d)
30
|
|
Gunjan Lakhani answered |
A square number is a number that can be represented as the product of an integer multiplied by itself. 25 is a square number because it is equal to 5x5.
Estimated value of 467 to nearest thousand is- a)Zero
- b)400
- c)470
- d)1000
Correct answer is option 'A'. Can you explain this answer?
Estimated value of 467 to nearest thousand is
a)
Zero
b)
400
c)
470
d)
1000
|
Eduskill Classes answered |
The estimated value of 467 to the nearest thousand is zero because:
- When rounding to the nearest thousand, any number below 500 is rounded down.
- Since 467 is less than 500, it is rounded down to zero.
What is Mathematics often described as the study of?- a)Words
- b)Patterns
- c)Colors
- d)Sounds
Correct answer is option 'B'. Can you explain this answer?
What is Mathematics often described as the study of?
a)
Words
b)
Patterns
c)
Colors
d)
Sounds
|
Rahul Kumar answered |
Mathematics is described as the study of patterns that we see all around us, whether in nature, daily activities, or even in the movements of celestial bodies. This study helps us understand how and why these patterns exist.
What is the even prime number?- a)3
- b)2
- c)1
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
What is the even prime number?
a)
3
b)
2
c)
1
d)
None of the above
|
EduRev Class 6 answered |
The only even prime number is 2. This is because a prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. While all other even numbers can be divided by 2, making them not prime, 2 can only be divided by 1 and 2, making it the only even prime number.
__________ is both a triangular number and a square number.- a)25
- b)36
- c)8
- d)4
Correct answer is option 'B'. Can you explain this answer?
__________ is both a triangular number and a square number.
a)
25
b)
36
c)
8
d)
4
|
Debolina Shah answered |
Understanding Triangular Numbers
Triangular numbers are formed by the sum of the natural numbers. The nth triangular number is given by the formula:
- T(n) = n(n + 1)/2
For example:
- T(1) = 1
- T(2) = 3
- T(3) = 6
- T(4) = 10
- T(5) = 15
- T(6) = 21
- T(7) = 28
- T(8) = 36
Understanding Square Numbers
Square numbers are the result of multiplying a number by itself. The nth square number is given by the formula:
- S(n) = n^2
For example:
- S(1) = 1
- S(2) = 4
- S(3) = 9
- S(4) = 16
- S(5) = 25
- S(6) = 36
Identifying the Correct Option
Now, let's evaluate the options to see which one is both a triangular and a square number.
- Option a) 25: Not a triangular number (T(6) = 21, T(7) = 28)
- Option b) 36:
- Triangular: T(8) = 36
- Square: S(6) = 36
- Option c) 8: Not a triangular or square number
- Option d) 4: Square (S(2) = 4) but not triangular (T(2) = 3)
Conclusion
The only number that is both a triangular number and a square number is 36. Hence, the correct answer is option b.
Triangular numbers are formed by the sum of the natural numbers. The nth triangular number is given by the formula:
- T(n) = n(n + 1)/2
For example:
- T(1) = 1
- T(2) = 3
- T(3) = 6
- T(4) = 10
- T(5) = 15
- T(6) = 21
- T(7) = 28
- T(8) = 36
Understanding Square Numbers
Square numbers are the result of multiplying a number by itself. The nth square number is given by the formula:
- S(n) = n^2
For example:
- S(1) = 1
- S(2) = 4
- S(3) = 9
- S(4) = 16
- S(5) = 25
- S(6) = 36
Identifying the Correct Option
Now, let's evaluate the options to see which one is both a triangular and a square number.
- Option a) 25: Not a triangular number (T(6) = 21, T(7) = 28)
- Option b) 36:
- Triangular: T(8) = 36
- Square: S(6) = 36
- Option c) 8: Not a triangular or square number
- Option d) 4: Square (S(2) = 4) but not triangular (T(2) = 3)
Conclusion
The only number that is both a triangular number and a square number is 36. Hence, the correct answer is option b.
The smallest 5-digit number is bigger than the largest 4-digit number by _______.- a)999
- b)998
- c)1000
- d)1
Correct answer is option 'D'. Can you explain this answer?
The smallest 5-digit number is bigger than the largest 4-digit number by _______.
a)
999
b)
998
c)
1000
d)
1
|
Sankar Saha answered |
Understanding 5-digit and 4-digit Numbers
To determine the difference between the smallest 5-digit number and the largest 4-digit number, we need to identify these two numbers first.
Smallest 5-Digit Number
- The smallest 5-digit number is 10000.
- This is the first number that contains five digits.
Largest 4-Digit Number
- The largest 4-digit number is 9999.
- This is the last number that has four digits.
Calculating the Difference
Now, we can calculate the difference between these two numbers:
- Difference = Smallest 5-digit number - Largest 4-digit number
- Difference = 10000 - 9999
Result of the Calculation
- When we perform the subtraction, we find:
10000 - 9999 = 1
Conclusion
The smallest 5-digit number (10000) is bigger than the largest 4-digit number (9999) by exactly 1. Therefore, the correct answer is option D.
This simple calculation highlights the relationship between 4-digit and 5-digit numbers, showing how they increment in value.
To determine the difference between the smallest 5-digit number and the largest 4-digit number, we need to identify these two numbers first.
Smallest 5-Digit Number
- The smallest 5-digit number is 10000.
- This is the first number that contains five digits.
Largest 4-Digit Number
- The largest 4-digit number is 9999.
- This is the last number that has four digits.
Calculating the Difference
Now, we can calculate the difference between these two numbers:
- Difference = Smallest 5-digit number - Largest 4-digit number
- Difference = 10000 - 9999
Result of the Calculation
- When we perform the subtraction, we find:
10000 - 9999 = 1
Conclusion
The smallest 5-digit number (10000) is bigger than the largest 4-digit number (9999) by exactly 1. Therefore, the correct answer is option D.
This simple calculation highlights the relationship between 4-digit and 5-digit numbers, showing how they increment in value.
What is the sum of the first three odd numbers?- a)5
- b)7
- c)9
- d)12
Correct answer is option 'C'. Can you explain this answer?
a)
5
b)
7
c)
9
d)
12
|
Coachify answered |
The first three odd numbers are 1, 3, and 5. Adding them together gives 1 + 3 + 5 = 9.
Which sequence of numbers represents the number of sides in regular polygons?- a)1, 2, 3, 4...
- b)2, 3, 4, 5...
- c)3, 4, 5, 6...
- d)4, 5, 6, 7...
Correct answer is option 'C'. Can you explain this answer?
a)
1, 2, 3, 4...
b)
2, 3, 4, 5...
c)
3, 4, 5, 6...
d)
4, 5, 6, 7...
|
Torcia Education answered |
The sequence 3, 4, 5, 6 represents the number of sides in regular polygons like triangles, squares, pentagons, and hexagons.
The smallest natural number which when rounded off to the nearest hundreds as 500 is- a)499
- b)501
- c)450
- d)549
Correct answer is option 'C'. Can you explain this answer?
The smallest natural number which when rounded off to the nearest hundreds as 500 is
a)
499
b)
501
c)
450
d)
549
|
|
Saras Yadav King answered |
Understanding Rounding Off to the Nearest Hundreds Rounding off numbers helps simplify them, especially when estimating. When rounding to the nearest hundreds, we follow specific rules: Rounding Rules - If the last two digits are 50 or more, round up. - If the last two digits are less than 50, round down. Finding the Range for 500 To round to 500, we need to determine the range of numbers that will yield 500 when rounded. - The numbers that round to 500 must be between 450 and 549, inclusive. - Minimum limit: 450 rounds up to 500. - Maximum limit: 549 rounds down to 500. Evaluating the Options Now, let's analyze the provided options based on the rounding rules: - Option a) 499 - Last two digits are 99, which is greater than 50. - Rounds up to 500. - Option b) 501 - Last two digits are 01, which is less than 50. - Rounds down to 500. - Option c) 450 - Last two digits are 50, which equals 50. - Rounds up to 500. - Option d) 549 - Last two digits are 49, which is less than 50. - Rounds down to 500. Conclusion Among the options, 450 is the smallest natural number that rounds to 500 when rounded to the nearest hundred. Therefore, the correct answer is option c
t
o find the smallest natural number that rounds off to 500 when rounded to the nearest hundred, consider the range of numbers that round to 500. Numbers from 450 to 549 round off to 500 when rounded to the nearest hundred. Therefore, the smallest number that rounds to 500 is 450. So, the correct answer is C: 450.
1 billion = ______ million
- a)10
- b)100
- c)1000
- d)10000
Correct answer is option 'C'. Can you explain this answer?
1 billion = ______ million
a)
10
b)
100
c)
1000
d)
10000
|
|
Gunjan Lakhani answered |
One billion is equal to 1000 million. This is because when we multiply 1000 by 1000, we get 1 million. Therefore, if we multiply 1000 million by 1000, we get 1 billion.
Which number sequence is related to square numbers by adding the first few odd numbers?- a)1, 4, 9, 16...
- b)2, 6, 12, 20...
- c)3, 7, 11, 15...
- d)5, 10, 15, 20...
Correct answer is option 'A'. Can you explain this answer?
a)
1, 4, 9, 16...
b)
2, 6, 12, 20...
c)
3, 7, 11, 15...
d)
5, 10, 15, 20...
|
Subset Academy answered |
By adding the first few odd numbers (1 + 3 = 4, 1 + 3 + 5 = 9, and so on), you get square numbers like 1, 4, 9, and 16.
Rita has a ribbon of length 2070 mm. Sita has a ribbon whose length is 1232 mm shorter than Rita's ribbon. What is the approximate length of Sita's ribbon when rounded to the nearest hundred (in millimeters)?- a)500
- b)1000
- c)800
- d)2000
Correct answer is option 'C'. Can you explain this answer?
Rita has a ribbon of length 2070 mm. Sita has a ribbon whose length is 1232 mm shorter than Rita's ribbon. What is the approximate length of Sita's ribbon when rounded to the nearest hundred (in millimeters)?
a)
500
b)
1000
c)
800
d)
2000
|
|
Subset Academy answered |
To find the approximate length of Sita's ribbon, we need to subtract 1232 mm from Rita's ribbon length and then round the result to the nearest hundred.
Rita's ribbon length = 2070 mm Sita's ribbon length = Rita's ribbon length - 1232 mm
Sita's ribbon length ≈ 2070 mm - 1232 mm Sita's ribbon length ≈ 838 mm
When rounded to the nearest hundred, Sita's ribbon length is approximately 800 mm.
Rita's ribbon length = 2070 mm Sita's ribbon length = Rita's ribbon length - 1232 mm
Sita's ribbon length ≈ 2070 mm - 1232 mm Sita's ribbon length ≈ 838 mm
When rounded to the nearest hundred, Sita's ribbon length is approximately 800 mm.
Which of the following shapes is a three-dimensional object?- a)Square
- b)Triangle
- c)Circle
- d)Cube
Correct answer is option 'D'. Can you explain this answer?
a)
Square
b)
Triangle
c)
Circle
d)
Cube
|
|
Coachify answered |
A cube is a three-dimensional object with equal sides and angles in all directions, while the other shapes are two-dimensional.
If you start with the number 1 and keep adding 2, what sequence are you creating?- a)Even numbers
- b)Prime numbers
- c)Odd numbers
- d)Square numbers
Correct answer is option 'C'. Can you explain this answer?
a)
Even numbers
b)
Prime numbers
c)
Odd numbers
d)
Square numbers
|
|
Dr Manju Sen answered |
Adding 2 repeatedly to the number 1 creates a sequence of odd numbers (1, 3, 5, 7, and so on). This is because odd numbers are separated by a difference of 2.
Roman Numeral of 400 is- a)CD
- b)CL
- c)LD
- d)XC
Correct answer is option 'A'. Can you explain this answer?
Roman Numeral of 400 is
a)
CD
b)
CL
c)
LD
d)
XC
|
Abhay Datta answered |
Understanding Roman Numerals
Roman numerals are a numeric system that originated in ancient Rome, using combinations of letters from the Latin alphabet to represent numbers. Each letter has a specific value, which is added or subtracted based on its placement in relation to other letters.
Values of Key Roman Numerals
- I = 1
- V = 5
- X = 10
- L = 50
- C = 100
- D = 500
- M = 1000
Breaking Down 400 in Roman Numerals
To represent the number 400 in Roman numerals, we need to consider how the values combine:
- The letter "C" stands for 100.
- Therefore, "CD" represents 400, which is achieved by subtracting 100 (C) from 500 (D).
Why Not the Other Options?
- CL (150): This represents 100 + 50, which equals 150.
- LD (Not Valid): There’s no valid Roman numeral for 450; "L" (50) cannot precede "D" (500) in this way.
- XC (90): This signifies 100 - 10, which equals 90, not relevant to 400.
Conclusion
The correct Roman numeral for 400 is "CD", making option A the correct answer. Understanding the principles of addition and subtraction in Roman numerals is crucial for interpreting and writing these numbers accurately.
Roman numerals are a numeric system that originated in ancient Rome, using combinations of letters from the Latin alphabet to represent numbers. Each letter has a specific value, which is added or subtracted based on its placement in relation to other letters.
Values of Key Roman Numerals
- I = 1
- V = 5
- X = 10
- L = 50
- C = 100
- D = 500
- M = 1000
Breaking Down 400 in Roman Numerals
To represent the number 400 in Roman numerals, we need to consider how the values combine:
- The letter "C" stands for 100.
- Therefore, "CD" represents 400, which is achieved by subtracting 100 (C) from 500 (D).
Why Not the Other Options?
- CL (150): This represents 100 + 50, which equals 150.
- LD (Not Valid): There’s no valid Roman numeral for 450; "L" (50) cannot precede "D" (500) in this way.
- XC (90): This signifies 100 - 10, which equals 90, not relevant to 400.
Conclusion
The correct Roman numeral for 400 is "CD", making option A the correct answer. Understanding the principles of addition and subtraction in Roman numerals is crucial for interpreting and writing these numbers accurately.
The tickets sold for the semi-final IPL match were 9872, whereas 10050 tickets were sold during the finals. How many more tickets, estimated to the nearest tens, were sold during the finals?- a)160
- b)170
- c)180
- d)190
Correct answer is option 'C'. Can you explain this answer?
The tickets sold for the semi-final IPL match were 9872, whereas 10050 tickets were sold during the finals. How many more tickets, estimated to the nearest tens, were sold during the finals?
a)
160
b)
170
c)
180
d)
190
|
Vp Classes answered |
During the finals, 10050 tickets were sold, whereas for the semi-final match, only 9872 tickets were sold. To find out how many more tickets were sold during the finals, we subtract the number of tickets sold for the semi-finals from the number of tickets sold during the finals. Therefore, 10050 - 9872 = 178. Since we need to estimate to the nearest tens, the answer would be 180.
The greatest natural number which when rounded off to the nearest hundreds as 500 is- a)540
- b)500
- c)450
- d)205
Correct answer is option 'A'. Can you explain this answer?
The greatest natural number which when rounded off to the nearest hundreds as 500 is
a)
540
b)
500
c)
450
d)
205
|
|
Rahul Kumar answered |
To find the greatest natural number that rounds off to 500 when rounded to the nearest hundred, consider the range of numbers that round to 500.
- Numbers from 450 to 549 round off to 500 when rounded to the nearest hundred.
- The greatest number in this range is 549.
So, the correct answer is A: 549.
The missing term in the sequence 1, 3, 6, __, 15 is.- a)25
- b)9
- c)10
- d)8
Correct answer is option 'C'. Can you explain this answer?
The missing term in the sequence 1, 3, 6, __, 15 is.
a)
25
b)
9
c)
10
d)
8
|
Shivam Chakraborty answered |
Understanding the Sequence
The given sequence is 1, 3, 6, __, 15. To find the missing term, let's analyze the pattern between the numbers.
Identifying the Pattern
- The first term is 1.
- The second term (3) can be derived from the first term by adding 2:
1 + 2 = 3
- The third term (6) can be derived from the second term by adding 3:
3 + 3 = 6
Finding the Missing Term
Now, we need to find the missing term, which we will denote as x. Following the established pattern:
- The next step involves adding 4 to the previous term:
6 + 4 = x
Therefore, x = 10.
Continuing the Pattern
- To verify, we check the next term (15):
- Adding 5 to the missing term:
10 + 5 = 15
This confirms that our missing term is correct.
Conclusion
Thus, the missing term in the sequence is:
- 10 (option 'C').
This sequence is an example of a pattern where each term increases by an incrementally larger number (2, 3, 4, 5, ...), resulting in 10 being the right answer.
The given sequence is 1, 3, 6, __, 15. To find the missing term, let's analyze the pattern between the numbers.
Identifying the Pattern
- The first term is 1.
- The second term (3) can be derived from the first term by adding 2:
1 + 2 = 3
- The third term (6) can be derived from the second term by adding 3:
3 + 3 = 6
Finding the Missing Term
Now, we need to find the missing term, which we will denote as x. Following the established pattern:
- The next step involves adding 4 to the previous term:
6 + 4 = x
Therefore, x = 10.
Continuing the Pattern
- To verify, we check the next term (15):
- Adding 5 to the missing term:
10 + 5 = 15
This confirms that our missing term is correct.
Conclusion
Thus, the missing term in the sequence is:
- 10 (option 'C').
This sequence is an example of a pattern where each term increases by an incrementally larger number (2, 3, 4, 5, ...), resulting in 10 being the right answer.
How many dots are in the third triangular number?
- a)3
- b)6
- c)9
- d)12
Correct answer is option 'B'. Can you explain this answer?
How many dots are in the third triangular number?
a)
3
b)
6
c)
9
d)
12
|
|
Eduskill Classes answered |
The third triangular number has 6 dots, forming a triangle with 3 rows.
If you start with the number 2 and keep adding 2, what sequence are you creating?- a)Odd numbers
- b)Square numbers
- c)Even numbers
- d)Prime numbers
Correct answer is option 'C'. Can you explain this answer?
a)
Odd numbers
b)
Square numbers
c)
Even numbers
d)
Prime numbers
|
|
Eduskill Classes answered |
Adding 2 repeatedly to the number 2 creates a sequence of even numbers (2, 4, 6, 8, and so on). This is because even numbers are separated by a difference of 2.
How many sides does a hexagon have?- a)5
- b)6
- c)7
- d)8
Correct answer is option 'B'. Can you explain this answer?
a)
5
b)
6
c)
7
d)
8
|
|
Swara Chakraborty answered |
Understanding Hexagons
A hexagon is a polygon that is defined by its number of sides. To understand why a hexagon has six sides, let’s break it down:
Definition of a Hexagon
- A hexagon is a two-dimensional shape.
- It consists of straight lines that connect to form a closed figure.
Counting the Sides
- The prefix "hex" comes from the Greek word for six.
- Therefore, a hexagon must have exactly six straight sides.
Visual Representation
- Imagine drawing a shape with six equal-length straight lines.
- When you join the ends of these lines, you create a closed figure with six angles.
Real-Life Examples
- Honeycombs are a natural example of hexagonal shapes.
- Many tiles and patterns in art and architecture feature hexagons due to their efficiency in space and aesthetic appeal.
Conclusion
- In conclusion, a hexagon is defined by its six sides.
- Therefore, the correct answer to the question of how many sides a hexagon has is option 'b), 6'.
Understanding the characteristics of polygons, such as hexagons, helps in grasping fundamental geometry concepts that are essential in higher-level mathematics.
A hexagon is a polygon that is defined by its number of sides. To understand why a hexagon has six sides, let’s break it down:
Definition of a Hexagon
- A hexagon is a two-dimensional shape.
- It consists of straight lines that connect to form a closed figure.
Counting the Sides
- The prefix "hex" comes from the Greek word for six.
- Therefore, a hexagon must have exactly six straight sides.
Visual Representation
- Imagine drawing a shape with six equal-length straight lines.
- When you join the ends of these lines, you create a closed figure with six angles.
Real-Life Examples
- Honeycombs are a natural example of hexagonal shapes.
- Many tiles and patterns in art and architecture feature hexagons due to their efficiency in space and aesthetic appeal.
Conclusion
- In conclusion, a hexagon is defined by its six sides.
- Therefore, the correct answer to the question of how many sides a hexagon has is option 'b), 6'.
Understanding the characteristics of polygons, such as hexagons, helps in grasping fundamental geometry concepts that are essential in higher-level mathematics.
Fill in the blanks:
1 million = ______ thousands- a)10
- b)100
- c)1000
- d)10000
Correct answer is option 'C'. Can you explain this answer?
Fill in the blanks:
1 million = ______ thousands
1 million = ______ thousands
a)
10
b)
100
c)
1000
d)
10000
|
|
Saptarshi Das answered |
Understanding the Relationship Between Millions and Thousands
When we look at large numbers, it's essential to understand how they relate to each other in terms of units like millions and thousands.
1 Million Defined
- 1 million is a numerical value represented as 1,000,000.
- This number signifies one thousand thousands.
Breaking Down the Number
To comprehend how many thousands are in a million, we can break it down:
- 1 thousand = 1,000
- Therefore, to find out how many thousands fit into 1 million, we perform the following calculation:
- 1,000,000 (which is 1 million) ÷ 1,000 (which is 1 thousand) = 1,000.
Conclusion
Thus, it is clear that:
- 1 million is equal to 1,000 thousands.
- Hence, the correct answer to the question is option C: 1000.
Understanding these relationships helps in grasping larger concepts in mathematics and can be particularly useful in topics such as finance, statistics, and data interpretation. Recognizing how many thousands make up a million enhances numerical literacy, especially for students in Class 6 and beyond.
When we look at large numbers, it's essential to understand how they relate to each other in terms of units like millions and thousands.
1 Million Defined
- 1 million is a numerical value represented as 1,000,000.
- This number signifies one thousand thousands.
Breaking Down the Number
To comprehend how many thousands are in a million, we can break it down:
- 1 thousand = 1,000
- Therefore, to find out how many thousands fit into 1 million, we perform the following calculation:
- 1,000,000 (which is 1 million) ÷ 1,000 (which is 1 thousand) = 1,000.
Conclusion
Thus, it is clear that:
- 1 million is equal to 1,000 thousands.
- Hence, the correct answer to the question is option C: 1000.
Understanding these relationships helps in grasping larger concepts in mathematics and can be particularly useful in topics such as finance, statistics, and data interpretation. Recognizing how many thousands make up a million enhances numerical literacy, especially for students in Class 6 and beyond.
Which of the following shapes is a regular polygon?- a)Rectangle
- b)Square
- c)Circle
- d)Ellipse
Correct answer is option 'B'. Can you explain this answer?
a)
Rectangle
b)
Square
c)
Circle
d)
Ellipse
|
|
EduRev Class 6 answered |
A square is a regular polygon because it has equal-length sides and equal angles. The other shapes do not meet both criteria.
The price of a school bag is 250 Rs. 95 paise but Priya has only 210 Rs. 25 paise. How much more money does she require to buy the bag?- a)407 p
- b)4000 p
- c)4070 p
- d)470 p
Correct answer is option 'C'. Can you explain this answer?
The price of a school bag is 250 Rs. 95 paise but Priya has only 210 Rs. 25 paise. How much more money does she require to buy the bag?
a)
407 p
b)
4000 p
c)
4070 p
d)
470 p
|
Coders Trust answered |
The price of the school bag is 250 Rs. 95 paise, while Priya has 210 Rs. 25 paise. To determine how much more money she needs, we first convert both amounts into paise.
- 250 Rs. 95 paise = 250 × 100 + 95 = 25,095 paise
- 210 Rs. 25 paise = 210 × 100 + 25 = 21,025 paise
Next, we subtract the amount Priya has from the total price of the bag:
25,095 paise - 21,025 paise = 4,070 paise
Therefore, Priya requires 4070 paise more to purchase the bag.
Sum 3537 + 3884 to nearest tens is
- a)1000
- b)7400
- c)7420
- d)7440
Correct answer is option 'C'. Can you explain this answer?
Sum 3537 + 3884 to nearest tens is
a)
1000
b)
7400
c)
7420
d)
7440
|
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EduRev Class 6 answered |
To find the sum of 3537 and 3884 to the nearest tens, we round each number to the nearest tens and then add them together.
Rounding 3537 to the nearest tens gives us 3540, and rounding 3884 to the nearest tens gives us 3880.
Adding these rounded numbers together gives us 7420, which is the nearest tens value for the sum of 3537 + 3884.
Rounding 3537 to the nearest tens gives us 3540, and rounding 3884 to the nearest tens gives us 3880.
Adding these rounded numbers together gives us 7420, which is the nearest tens value for the sum of 3537 + 3884.
Find the smallest number among the following numbers. 1411, 14504, 2431, 10001, 9900- a)10001
- b)9900
- c)2431
- d)1411
Correct answer is option 'D'. Can you explain this answer?
Find the smallest number among the following numbers. 1411, 14504, 2431, 10001, 9900
a)
10001
b)
9900
c)
2431
d)
1411
|
|
Charvi Pillai answered |
Understanding the Problem
To find the smallest number among the given options, we need to compare each number systematically.
Given Numbers:
- 1411
- 14504
- 2431
- 10001
- 9900
Step-by-Step Comparison
1. Comparing Each Number
- Start with 1411: This is a four-digit number.
- Next, 14504: This is a five-digit number, which is larger than any four-digit number.
- Then, 2431: This is also a four-digit number, but larger than 1411.
- Now, 10001: This is a five-digit number, larger than the previous four-digit numbers.
- Finally, 9900: This is a four-digit number, but it's larger than 1411 and 2431.
Identifying the Smallest
- By comparing all numbers:
- 1411 is the smallest among 1411, 2431, and 9900.
- 14504 and 10001 are both larger than 1411.
Thus, among all the numbers, 1411 is the smallest.
Conclusion
The correct answer is option 'D', which is 1411. This number is less than all the other options provided.
To find the smallest number among the given options, we need to compare each number systematically.
Given Numbers:
- 1411
- 14504
- 2431
- 10001
- 9900
Step-by-Step Comparison
1. Comparing Each Number
- Start with 1411: This is a four-digit number.
- Next, 14504: This is a five-digit number, which is larger than any four-digit number.
- Then, 2431: This is also a four-digit number, but larger than 1411.
- Now, 10001: This is a five-digit number, larger than the previous four-digit numbers.
- Finally, 9900: This is a four-digit number, but it's larger than 1411 and 2431.
Identifying the Smallest
- By comparing all numbers:
- 1411 is the smallest among 1411, 2431, and 9900.
- 14504 and 10001 are both larger than 1411.
Thus, among all the numbers, 1411 is the smallest.
Conclusion
The correct answer is option 'D', which is 1411. This number is less than all the other options provided.
Which number is both a square and a triangular number?- a)16
- b)25
- c)36
- d)49
Correct answer is option 'C'. Can you explain this answer?
a)
16
b)
25
c)
36
d)
49
|
|
Rahul Kumar answered |
36 is both a square number (6x6) and a triangular number, making it unique in this context.
Which of the following number sequences is related to triangular numbers?- a)1, 3, 6, 10, 15...
- b)2, 4, 8, 16, 32...
- c)5, 10, 15, 20, 25...
- d)1, 2, 4, 8, 16...
Correct answer is option 'A'. Can you explain this answer?
a)
1, 3, 6, 10, 15...
b)
2, 4, 8, 16, 32...
c)
5, 10, 15, 20, 25...
d)
1, 2, 4, 8, 16...
|
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Torcia Education answered |
The sequence 1, 3, 6, 10, 15 represents triangular numbers, which can be visualized as dots forming triangles.
Solve:
15 × 1000 + 7 × _______ + 6 × 10 = 15760- a)1
- b)10
- c)100
- d)1000
Correct answer is option 'C'. Can you explain this answer?
Solve:
15 × 1000 + 7 × _______ + 6 × 10 = 15760
15 × 1000 + 7 × _______ + 6 × 10 = 15760
a)
1
b)
10
c)
100
d)
1000
|
|
Vp Classes answered |
We are given the equation:
15 × 1000 + 7 × _______ + 6 × 10 = 15760
Let's simplify the known values first:
- 15 × 1000 = 15000
- 6 × 10 = 60
Now, substitute these values into the equation:
15000 + 7 × _______ + 60 = 15760
Subtract 15000 and 60 from 15760:
15760 - 15000 - 60 = 700
So, the missing value is:
7 × _______ = 700
To find the missing value, divide 700 by 7:
700 ÷ 7 = 100
Thus, the missing value is 100.
So, the correct answer is C: 100.
What pattern do the numbers 3, 6, 9, 12 follow?
- a)Adding 1
- b)Multiple of 2
- c)Multiple of 3
- d)Adding 5
Correct answer is option 'C'. Can you explain this answer?
What pattern do the numbers 3, 6, 9, 12 follow?
a)
Adding 1
b)
Multiple of 2
c)
Multiple of 3
d)
Adding 5
|
Shiksha Academy answered |
The sequence 3, 6, 9, 12 follows the pattern of multiplying by 3. This creates a sequence where each number is a multiple of 3.
What do regular polygons and number sequences have in common?- a)They both have colors
- b)They both have patterns
- c)They both are three-dimensional
- d)They both are random
Correct answer is option 'B'. Can you explain this answer?
a)
They both have colors
b)
They both have patterns
c)
They both are three-dimensional
d)
They both are random
|
|
Torcia Education answered |
Regular polygons and number sequences both have patterns. In polygons, the pattern is in the sides and angles, while in number sequences, the pattern is in the numbers themselves.
In the International system of numeration, one crore is equal to ______ million.- a)1
- b)10
- c)100
- d)1000
Correct answer is option 'B'. Can you explain this answer?
In the International system of numeration, one crore is equal to ______ million.
a)
1
b)
10
c)
100
d)
1000
|
Praveen Kumar answered |
In the International system of numeration, one crore is equal to ten million. This is because one crore is equal to ten million in the Indian numbering system, which is used in countries like India, Pakistan, and Bangladesh. In this system, one crore is equivalent to ten million, so the correct answer is 10.
Look at the pattern of shapes below:
What shape comes next in the pattern?- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Look at the pattern of shapes below:
What shape comes next in the pattern?
What shape comes next in the pattern?
a)
b)
c)
d)
|
|
Coachify answered |
The pattern alternates between a blue circle () and a yellow diamond (). After the last shape (), the next shape will be a yellow diamond ().
) and a yellow diamond (). After the last shape (), the next shape will be a yellow diamond ().So, the correct answer is A: .
.The biggest 4 digit number formed by using each of the digits 5, 7, 8, 9, without repetition is- a)9875
- b)8975
- c)7589
- d)5789
Correct answer is option 'A'. Can you explain this answer?
The biggest 4 digit number formed by using each of the digits 5, 7, 8, 9, without repetition is
a)
9875
b)
8975
c)
7589
d)
5789
|
|
Shiksha Academy answered |
The question asks for the biggest 4-digit number that can be formed using the digits 5, 7, 8, and 9 without repetition.
The largest possible number formed with these digits is:
- 9875
This number is indeed the greatest that can be created using each digit exactly once.
The sum of 267 + 132 to the nearest ten is _______.- a)300
- b)200
- c)350
- d)400
Correct answer is option 'D'. Can you explain this answer?
The sum of 267 + 132 to the nearest ten is _______.
a)
300
b)
200
c)
350
d)
400
|
|
Praveen Kumar answered |
First, add the numbers:
267 + 132 = 399
Now, round 399 to the nearest ten. Since the last digit (9) is 5 or greater, we round up to the next ten:
399 rounded to the nearest ten is 400.
So, the correct answer is D: 400.
Estimate the value of the product of 108 and 12 to the nearest 100.- a)1300
- b)1290
- c)1700
- d)1200
Correct answer is option 'A'. Can you explain this answer?
Estimate the value of the product of 108 and 12 to the nearest 100.
a)
1300
b)
1290
c)
1700
d)
1200
|
|
Torcia Education answered |
- Nearest 100 means the answer should end with "00" (like 1200, 1300, 1400).
- Multiply: 108 × 12 = 1296.
- 1296 is closer to 1300 than to 1200.
- 1290 is wrong here because that would be rounding to the nearest 10, not the nearest 100.
- Even though 1300 looks like it is in the thousands range, it is still a multiple of 100, so it is correct.
Answer: 1300 (option a)
The number 28,549 when rounded off to the nearest hundreds is- a)28,000
- b)28,500
- c)28,600
- d)29,000
Correct answer is option 'B'. Can you explain this answer?
The number 28,549 when rounded off to the nearest hundreds is
a)
28,000
b)
28,500
c)
28,600
d)
29,000
|
|
EduRev Class 6 answered |
To round 28,549 to the nearest hundred, follow these steps:
- Identify the tens place, which is 4.
- Since 4 is less than 5, we round down.
- This keeps the hundreds place the same.
Therefore, 28,549 rounded to the nearest hundred is 28,500.
The correct answer is B: 28,500.
Chapter doubts & questions for Patterns in Mathematics - Mathematics for Class 6 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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