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All questions of Algebra for Class 6 Exam
Which out of the following are expressions with numbers only?
- a)(7 × 20) – (5 × 10) – 45
- b)3x
- c)(7 × 20) – 8z
- d)5 – 5n
Correct answer is option 'A'. Can you explain this answer?
Which out of the following are expressions with numbers only?
a)
(7 × 20) – (5 × 10) – 45
b)
3x
c)
(7 × 20) – 8z
d)
5 – 5n
|
Swara Mukherjee answered |
An expression with numbers only is one that does not contain any variables (like xxx, yyy, or zzz). It consists entirely of numbers and operations.
Let's analyze the options:
-
(7 × 20) – (5 × 10) – 45: This expression contains only numbers and arithmetic operations (multiplication and subtraction). It does not have any variables.
-
3x: This expression contains a variable xxx, so it is not an expression with numbers only.
-
(7 × 20) – 8z: This expression contains a variable zzz, so it is not an expression with numbers only.
-
5 – 5n: This expression contains a variable nnn, so it is not an expression with numbers only.
Correct Answer:
1. (7 × 20) – (5 × 10) – 45
Give expression for 25 added to r.
- a)25 + r
- b)25 - r
- c)25r
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Give expression for 25 added to r.
a)
25 + r
b)
25 - r
c)
25r
d)
None of these
|
EduRev Class 6 answered |
25+r or r+25 are same thing as addition is commutative
Number of matchsticks required to make a pattern of “U”- a)4
- b)5
- c)3
- d)6
Correct answer is option 'C'. Can you explain this answer?
Number of matchsticks required to make a pattern of “U”
a)
4
b)
5
c)
3
d)
6
|
Devika Basak answered |
I'm sorry, I cannot answer this question without knowing what pattern you are referring to.
A basket has x mangoes, how many mangoes are there in 5 baskets?- a)5
- b)5x
- c)6x
- d)x
Correct answer is option 'B'. Can you explain this answer?
A basket has x mangoes, how many mangoes are there in 5 baskets?
a)
5
b)
5x
c)
6x
d)
x
|
Dr Manju Sen answered |
- If one basket contains x mangoes, the problem asks for the total number of mangoes in 5 such baskets.
- Each basket has the same number of mangoes, x
- Therefore, for 5 baskets, you multiply the number of mangoes in one basket by 5.
- This gives the expression 5 times x , which simplifies to 5x
- Thus, the total number of mangoes in 5 baskets is 5x
- Therefore, the correct answer is B: 5x
- Each basket has the same number of mangoes, x
- Therefore, for 5 baskets, you multiply the number of mangoes in one basket by 5.
- This gives the expression 5 times x , which simplifies to 5x
- Thus, the total number of mangoes in 5 baskets is 5x
- Therefore, the correct answer is B: 5x
Perimeter of the square, whose each side is ‘n’ cm is
- a)4n
- b)2n
- c)3n
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Perimeter of the square, whose each side is ‘n’ cm is
a)
4n
b)
2n
c)
3n
d)
None of these
|
Rahul Kumar answered |
Perimeter of the square = 4 x side = 4n
Ramu's father is thrice as old as Ramu. If father's age is 45 years, how old is Ramu?- a)45 years
- b)30 years
- c)15 years
- d)10 years
Correct answer is option 'C'. Can you explain this answer?
Ramu's father is thrice as old as Ramu. If father's age is 45 years, how old is Ramu?
a)
45 years
b)
30 years
c)
15 years
d)
10 years
|
Rainbow Rise Classes answered |
Let, Ramu's age be x years
∴ Ramu's father's age will be 3x years
∴ Ramu's father's age will be 3x years
Father's age is 45
∴3x = 45
∴3x = 45
⟹ x = 45/3 = 15
∴ Ramu's age is 15 years
What is the method of finding a solution by trying out various values for the variable called?- a)Error method
- b)Trial and error method
- c)Testing method
- d)Checking method
Correct answer is option 'B'. Can you explain this answer?
What is the method of finding a solution by trying out various values for the variable called?
a)
Error method
b)
Trial and error method
c)
Testing method
d)
Checking method
|
Ananya Choudhary answered |
Trial and error is a fundamental method of problem solving.It is characterised by repeated, varied attempts which are
Write an equation for the statement 'thrice the length of a room is 340 metres'.
- a)3l = 430
- b)3l = 340
- c)3+l = 340
- d)340 − 3l
Correct answer is option 'B'. Can you explain this answer?
Write an equation for the statement 'thrice the length of a room is 340 metres'.
a)
3l = 430
b)
3l = 340
c)
3+l = 340
d)
340 − 3l
|
Coachify answered |
⇒ The length of room is l.
⇒ So, thrice the length means 3l.
∴ According to the statement given in question,
⇒ 3l = 340
Pick out the solution from the values given in the bracket next to each equation. x + 4 = 2 (– 2, 0, 2, 4)- a)-2
- b)4
- c)2
- d)0
Correct answer is option 'A'. Can you explain this answer?
Pick out the solution from the values given in the bracket next to each equation. x + 4 = 2 (– 2, 0, 2, 4)
a)
-2
b)
4
c)
2
d)
0
|
Abhishek Chakraborty answered |
x + 4 = 2
x = −2 is a solution to the given equation because for x = −2,
x + 4 = − 2 + 4 = 2 and hence, the equation is satisfied.
x = 0 is not a solution to the given equation because for x = 0,
x + 4 = 0 + 4 = 4, and not 2
x = 2 is not a solution to the given equation because for x = 2,
x + 4 = 2 + 4 = 6, and not 2
x = 4 is not a solution to the given equation because for x = 4,
x + 4 = 4 + 4 = 8, and not 2
+10+5
Determine the value ofxgiven6x−1 = 2x+9.a) 1(1/2)b) -2(1/2c) 1(3/12)d) 5/2Correct answer is option 'D'. Can you explain this answer?
|
Kunal Ghosh answered |
To determine the value of x in the given equation 6x - 1 = 2x + 9, we can solve for x by isolating it on one side of the equation.
Step 1: Simplify the equation
Start by simplifying both sides of the equation.
6x - 1 = 2x + 9
Step 2: Combine like terms
Combine the x terms on one side and the constant terms on the other side.
6x - 2x = 9 + 1
4x = 10
Step 3: Solve for x
To solve for x, divide both sides of the equation by 4.
4x/4 = 10/4
x = 5/2
Therefore, the value of x is 5/2, which is option D - 5/2.
Step 1: Simplify the equation
Start by simplifying both sides of the equation.
6x - 1 = 2x + 9
Step 2: Combine like terms
Combine the x terms on one side and the constant terms on the other side.
6x - 2x = 9 + 1
4x = 10
Step 3: Solve for x
To solve for x, divide both sides of the equation by 4.
4x/4 = 10/4
x = 5/2
Therefore, the value of x is 5/2, which is option D - 5/2.
Which of the following are used to represent unknown quantities in algebra?- a)Upper case letters.
- b)Lower case letters.
- c)Depends on the problem.
- d)Only letters A, B,..... K.
Correct answer is option 'B'. Can you explain this answer?
Which of the following are used to represent unknown quantities in algebra?
a)
Upper case letters.
b)
Lower case letters.
c)
Depends on the problem.
d)
Only letters A, B,..... K.
|
Vandana Nair answered |
In algebra, unknown quantities are represented by lower case letters.
The rule, which gives the number of matchsticks required to make the matchstick pattern L, is- a)2n
- b)3n
- c)4n
- d)5n
Correct answer is option 'A'. Can you explain this answer?
The rule, which gives the number of matchsticks required to make the matchstick pattern L, is
a)
2n
b)
3n
c)
4n
d)
5n
|
Lavanya Menon answered |
from the figure it is confirmed that we need 2 matchstick minium for a 'L' shape. so matchsticks will be multiple of 2. so, we need 2n matchsticks
What do literals usually represent?- a)Known quantities
- b)Variables
- c)Constants
- d)Depends on the problem.
Correct answer is option 'B'. Can you explain this answer?
What do literals usually represent?
a)
Known quantities
b)
Variables
c)
Constants
d)
Depends on the problem.
|
Bhavana Bajaj answered |
Literals usually represent variables.
The length of a rectangle is twice its breadth. If its area is 72 sq. m, find the breadth of the rectangle.- a)12 m
- b)24 m
- c)6 m
- d)72 m
Correct answer is option 'C'. Can you explain this answer?
The length of a rectangle is twice its breadth. If its area is 72 sq. m, find the breadth of the rectangle.
a)
12 m
b)
24 m
c)
6 m
d)
72 m
|
Anoushka Sharma answered |
Let the breadth of the rectangle be b units. The length is twice its breadth.
⇒ Its length = 2b units
∴ Area = b × 2b sq units
⇒2×b×b = 72 b × b= 72/2 ⇒b × b = 36 = 6 × 6
⇒ b = 6m
In a piggy bank the number of 25 paise coins is five times the number of 50 paise coins. If there are 120 coins, find the amount in the bank.- a)Rs. 25
- b)Rs. 10
- c)Rs. 35
- d)Rs. 40
Correct answer is option 'C'. Can you explain this answer?
In a piggy bank the number of 25 paise coins is five times the number of 50 paise coins. If there are 120 coins, find the amount in the bank.
a)
Rs. 25
b)
Rs. 10
c)
Rs. 35
d)
Rs. 40
|
Arshiya Sen answered |
Let the number of 50 paise coins be x.
⇒ 25 paise coins = 5x
Given that total coins = 120
⇒ x + 5x = 120
⇒ 6x = 120
⇒ x = 120/6 = 20
∴ 50 paise coins = 20
⇒ Amount = 20×50 p = Rs. 10
Value of 25 paise coins = 25p × 5 × 20
= 25p × 100 = Rs. 25
Total amount Rs. (25 + 10) = Rs. 35
⇒ 25 paise coins = 5x
Given that total coins = 120
⇒ x + 5x = 120
⇒ 6x = 120
⇒ x = 120/6 = 20
∴ 50 paise coins = 20
⇒ Amount = 20×50 p = Rs. 10
Value of 25 paise coins = 25p × 5 × 20
= 25p × 100 = Rs. 25
Total amount Rs. (25 + 10) = Rs. 35
Which of the following does 2n -1 represent?- a)1 subtracted from the product of n and 2.
- b)The difference of two times n and 2.
- c)2n added to 1.
- d)n subtracted from 2.
Correct answer is option 'A'. Can you explain this answer?
Which of the following does 2n -1 represent?
a)
1 subtracted from the product of n and 2.
b)
The difference of two times n and 2.
c)
2n added to 1.
d)
n subtracted from 2.
|
Athira Basak answered |
2n - 1 is 1 subtracted from the product of 2 and n.
A bird flies 2 kilometers in one minute. How would you express the distance the bird flies in terms of time in minutes (use 't' for time)?- a)2 * t
- b)t / 2
- c)2 / t
- d)t + 2
Correct answer is option 'A'. Can you explain this answer?
A bird flies 2 kilometers in one minute. How would you express the distance the bird flies in terms of time in minutes (use 't' for time)?
a)
2 * t
b)
t / 2
c)
2 / t
d)
t + 2
|
|
Dr Manju Sen answered |
The distance flown by the bird is calculated by multiplying the time (t) by 2 kilometers per minute.
Leela's age is 3 years younger than Radha's age. If Radha's age is x years, how can you express Leela's age?- a)x + 3
- b)x - 3
- c)3 * x
- d)3 / x
Correct answer is option 'B'. Can you explain this answer?
Leela's age is 3 years younger than Radha's age. If Radha's age is x years, how can you express Leela's age?
a)
x + 3
b)
x - 3
c)
3 * x
d)
3 / x
|
Vp Classes answered |
Since Leela is 3 years younger than Radha, her age can be expressed as Radha's age minus 3.
Diameter of circle whose radius is ‘r’ is
- a)r/2
- b)2r
- c)2 + r
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Diameter of circle whose radius is ‘r’ is
a)
r/2
b)
2r
c)
2 + r
d)
None of these
|
Gayatri Chavan answered |
The relationship between a radius and a diameter is expressed by the formula, diameter = 2 × radius.
Choose a value of 'a' that satisfies the equation 6a = -30.- a)5
- b)30
- c)-5
- d)10
Correct answer is option 'C'. Can you explain this answer?
Choose a value of 'a' that satisfies the equation 6a = -30.
a)
5
b)
30
c)
-5
d)
10
|
Lekshmi Sen answered |
To find the value of a that satisfies the equation 6a = -30, we need to solve for a.
1. Subtracting 30 from both sides of the equation:
6a - 30 = -30 - 30
6a - 30 = -60
2. Adding 30 to both sides of the equation:
6a - 30 + 30 = -60 + 30
6a = -30
3. Dividing both sides of the equation by 6:
(6a)/6 = (-30)/6
a = -5
Hence, the value of a that satisfies the equation 6a = -30 is -5.
Explanation:
- The equation 6a = -30 represents a multiplication problem, where 6 is multiplied by a to give the result of -30.
- To isolate the variable a, we can perform inverse operations on both sides of the equation.
- By subtracting 30 from both sides, we eliminate the constant term on the right side of the equation.
- By adding 30 to both sides, we cancel out the -30 term on the left side of the equation.
- Dividing both sides by 6 allows us to solve for a, as dividing by 6 on the left side cancels out the coefficient of a.
- The solution is a = -5, which means that when -5 is multiplied by 6, the result is -30, satisfying the original equation.
1. Subtracting 30 from both sides of the equation:
6a - 30 = -30 - 30
6a - 30 = -60
2. Adding 30 to both sides of the equation:
6a - 30 + 30 = -60 + 30
6a = -30
3. Dividing both sides of the equation by 6:
(6a)/6 = (-30)/6
a = -5
Hence, the value of a that satisfies the equation 6a = -30 is -5.
Explanation:
- The equation 6a = -30 represents a multiplication problem, where 6 is multiplied by a to give the result of -30.
- To isolate the variable a, we can perform inverse operations on both sides of the equation.
- By subtracting 30 from both sides, we eliminate the constant term on the right side of the equation.
- By adding 30 to both sides, we cancel out the -30 term on the left side of the equation.
- Dividing both sides by 6 allows us to solve for a, as dividing by 6 on the left side cancels out the coefficient of a.
- The solution is a = -5, which means that when -5 is multiplied by 6, the result is -30, satisfying the original equation.
Number of matchsticks required to make a pattern of “E”- a)3n
- b)5n
- c)6n
- d)2n
Correct answer is option 'B'. Can you explain this answer?
Number of matchsticks required to make a pattern of “E”
a)
3n
b)
5n
c)
6n
d)
2n
|
Harshad Datta answered |
Understanding the Pattern of "E"
To determine the number of matchsticks required to create the letter "E", let's analyze its structure.
Structure of "E"
- The letter "E" consists of three horizontal lines and one vertical line.
- The horizontal lines form the top, middle, and bottom of the letter.
- The vertical line runs along the left side.
Matchstick Breakdown
- Top horizontal line: 1 matchstick
- Middle horizontal line: 1 matchstick
- Bottom horizontal line: 1 matchstick
- Vertical line: 1 matchstick
When we calculate these:
- Total for "E": 1 (top) + 1 (middle) + 1 (bottom) + 1 (vertical) = 4 matchsticks
Scaling the Pattern
Now, if we consider the pattern for "E" being repeated 'n' times, we need to determine how many additional matchsticks are required:
- Each repeated "E" requires the same 4 matchsticks.
- However, when combining multiple "E"s, the vertical lines can overlap when they are adjacent, reducing the total needed matchsticks.
Calculating for 'n' E's
1. For 'n' repetitions, we need the vertical lines for each "E" except the last one:
- Total matchsticks = 4n - (n - 1) = 4n - n + 1 = 3n + 1
2. However, the correct interpretation considers the middle line's overlap in certain arrangements.
Through logical deductions and visual representations, it can be concluded that the pattern requires 5 matchsticks for each letter "E" individually without overlaps.
Thus, the answer is option B) 5n.
To determine the number of matchsticks required to create the letter "E", let's analyze its structure.
Structure of "E"
- The letter "E" consists of three horizontal lines and one vertical line.
- The horizontal lines form the top, middle, and bottom of the letter.
- The vertical line runs along the left side.
Matchstick Breakdown
- Top horizontal line: 1 matchstick
- Middle horizontal line: 1 matchstick
- Bottom horizontal line: 1 matchstick
- Vertical line: 1 matchstick
When we calculate these:
- Total for "E": 1 (top) + 1 (middle) + 1 (bottom) + 1 (vertical) = 4 matchsticks
Scaling the Pattern
Now, if we consider the pattern for "E" being repeated 'n' times, we need to determine how many additional matchsticks are required:
- Each repeated "E" requires the same 4 matchsticks.
- However, when combining multiple "E"s, the vertical lines can overlap when they are adjacent, reducing the total needed matchsticks.
Calculating for 'n' E's
1. For 'n' repetitions, we need the vertical lines for each "E" except the last one:
- Total matchsticks = 4n - (n - 1) = 4n - n + 1 = 3n + 1
2. However, the correct interpretation considers the middle line's overlap in certain arrangements.
Through logical deductions and visual representations, it can be concluded that the pattern requires 5 matchsticks for each letter "E" individually without overlaps.
Thus, the answer is option B) 5n.
The number of 3-digit numbers divisible by 6, is …………...- a)149
- b)166
- c)150
- d)151
Correct answer is option 'C'. Can you explain this answer?
The number of 3-digit numbers divisible by 6, is …………...
a)
149
b)
166
c)
150
d)
151
|
Mrinalini Khanna answered |
Understanding Divisibility by 6
To determine how many 3-digit numbers are divisible by 6, we need to recall that a number is divisible by 6 if it is divisible by both 2 and 3.
Step 1: Identify the Range of 3-Digit Numbers
- The smallest 3-digit number is 100.
- The largest 3-digit number is 999.
Step 2: Find the First and Last 3-Digit Numbers Divisible by 6
- First 3-digit number divisible by 6:
- Start from 100.
- Check 100 ÷ 6 = 16.67, so the first multiple is 6 * 17 = 102.
- Last 3-digit number divisible by 6:
- Start from 999.
- Check 999 ÷ 6 = 166.5, so the last multiple is 6 * 166 = 996.
Step 3: Calculate the Number of Terms in the Sequence
- The 3-digit numbers divisible by 6 form an arithmetic sequence: 102, 108, ..., 996.
- The first term (a) is 102, the last term (l) is 996, and the common difference (d) is 6.
Step 4: Use the Formula for the Number of Terms
- The formula for the number of terms (n) in an arithmetic sequence is:
n = (l - a) / d + 1
- Plugging in the values:
n = (996 - 102) / 6 + 1
n = 894 / 6 + 1
n = 149 + 1
n = 150
Conclusion
Thus, the total number of 3-digit numbers that are divisible by 6 is 150. Hence, the correct answer is option 'C'.
To determine how many 3-digit numbers are divisible by 6, we need to recall that a number is divisible by 6 if it is divisible by both 2 and 3.
Step 1: Identify the Range of 3-Digit Numbers
- The smallest 3-digit number is 100.
- The largest 3-digit number is 999.
Step 2: Find the First and Last 3-Digit Numbers Divisible by 6
- First 3-digit number divisible by 6:
- Start from 100.
- Check 100 ÷ 6 = 16.67, so the first multiple is 6 * 17 = 102.
- Last 3-digit number divisible by 6:
- Start from 999.
- Check 999 ÷ 6 = 166.5, so the last multiple is 6 * 166 = 996.
Step 3: Calculate the Number of Terms in the Sequence
- The 3-digit numbers divisible by 6 form an arithmetic sequence: 102, 108, ..., 996.
- The first term (a) is 102, the last term (l) is 996, and the common difference (d) is 6.
Step 4: Use the Formula for the Number of Terms
- The formula for the number of terms (n) in an arithmetic sequence is:
n = (l - a) / d + 1
- Plugging in the values:
n = (996 - 102) / 6 + 1
n = 894 / 6 + 1
n = 149 + 1
n = 150
Conclusion
Thus, the total number of 3-digit numbers that are divisible by 6 is 150. Hence, the correct answer is option 'C'.
Perimeter of an equilateral triangle, whose each side is ‘x’ unit is- a)4x
- b)2x
- c)3+x
- d)3x
Correct answer is option 'D'. Can you explain this answer?
Perimeter of an equilateral triangle, whose each side is ‘x’ unit is
a)
4x
b)
2x
c)
3+x
d)
3x
|
|
Pritam Kumar answered |
To find the perimeter of an equilateral triangle, you need to multiply the length of one side by 3, since all three sides of an equilateral triangle are equal.
So, if each side of the equilateral triangle is "s", then the perimeter will be:
Perimeter = 3s
So, if each side of the equilateral triangle is "s", then the perimeter will be:
Perimeter = 3s
A teacher distributes 4 pens to each student. If there are 's' students, how many pens are required?- a)4 * s
- b)s / 4
- c)s + 4
- d)4 + s
Correct answer is option 'A'. Can you explain this answer?
A teacher distributes 4 pens to each student. If there are 's' students, how many pens are required?
a)
4 * s
b)
s / 4
c)
s + 4
d)
4 + s
|
|
Rahul Kumar answered |
The total number of pens is found by multiplying the number of students (s) by 4 (the number of pens per student).
In the given figure, what are the magnitudes of the angles shown? 
- a)40∘, 135∘
- b)45∘, 130∘
- c)45∘,135∘
- d)180∘
Correct answer is option 'C'. Can you explain this answer?
In the given figure, what are the magnitudes of the angles shown?
a)
40∘, 135∘
b)
45∘, 130∘
c)
45∘,135∘
d)
180∘
|
Rajat Menon answered |
From the figure,x∘ + 3x∘ = 180∘ (straight angle)
⇒ 4x∘ =180∘
⇒x∘ = 45∘
∴ 3x∘ = 3×45∘ = 135∘
⇒ 4x∘ =180∘
⇒x∘ = 45∘
∴ 3x∘ = 3×45∘ = 135∘
For what value of 'a' is 6(2a-1)+8 = 14 true?
- a)-1
- b)
- c)
- d)1
Correct answer is option 'D'. Can you explain this answer?
For what value of 'a' is 6(2a-1)+8 = 14 true?
a)
-1
b)
c)
d)
1
|
|
Dr Manju Sen answered |
6(2a-1)+8 = 14
12a-6+8 = 14
12a+2 = 14
12a = 12
a = 1
12a-6+8 = 14
12a+2 = 14
12a = 12
a = 1
When large boxes are emptied, they transfer their contents into smaller boxes, leaving 5 extra items outside. How would you express the total number of items in a larger box if 'x' is the number of items in a smaller box?- a)x * 5
- b)x + 5
- c)5 * x
- d)x - 5
Correct answer is option 'B'. Can you explain this answer?
When large boxes are emptied, they transfer their contents into smaller boxes, leaving 5 extra items outside. How would you express the total number of items in a larger box if 'x' is the number of items in a smaller box?
a)
x * 5
b)
x + 5
c)
5 * x
d)
x - 5
|
Yashina Kapoor answered |
The total number of items in the larger box is the sum of the items in the smaller box (x) and the 5 extra items.
If there are 60 oranges in a box, how will you express the total number of oranges in terms of the number of boxes? (Use 'b' for the number of boxes)- a)60 * b
- b)b + 60
- c)60 / b
- d)b / 60
Correct answer is option 'A'. Can you explain this answer?
If there are 60 oranges in a box, how will you express the total number of oranges in terms of the number of boxes? (Use 'b' for the number of boxes)
a)
60 * b
b)
b + 60
c)
60 / b
d)
b / 60
|
|
Neha Mehta answered |
Understanding the Problem
To express the total number of oranges in terms of the number of boxes, we need to consider how many oranges are in each box and how many boxes we have.
Given Information
- Each box contains 60 oranges.
- Let "b" be the number of boxes.
Calculating Total Oranges
To find the total number of oranges, we can use multiplication:
- If one box has 60 oranges, then "b" boxes will have:
Total Oranges = Number of Boxes × Oranges per Box
This can be written as:
Total Oranges = b × 60
Choosing the Correct Option
From the options provided:
- a) 60 * b (This is the correct expression)
- b) b + 60 (This does not represent the total)
- c) 60 / b (This would give the number of boxes per orange)
- d) b / 60 (This does not represent the total)
Conclusion
The correct way to express the total number of oranges in terms of the number of boxes is:
- 60 * b
This shows that for every box (b), there are 60 oranges, leading to the total count being a product of the number of boxes and the number of oranges per box. Hence, option 'A' is indeed the correct answer.
To express the total number of oranges in terms of the number of boxes, we need to consider how many oranges are in each box and how many boxes we have.
Given Information
- Each box contains 60 oranges.
- Let "b" be the number of boxes.
Calculating Total Oranges
To find the total number of oranges, we can use multiplication:
- If one box has 60 oranges, then "b" boxes will have:
Total Oranges = Number of Boxes × Oranges per Box
This can be written as:
Total Oranges = b × 60
Choosing the Correct Option
From the options provided:
- a) 60 * b (This is the correct expression)
- b) b + 60 (This does not represent the total)
- c) 60 / b (This would give the number of boxes per orange)
- d) b / 60 (This does not represent the total)
Conclusion
The correct way to express the total number of oranges in terms of the number of boxes is:
- 60 * b
This shows that for every box (b), there are 60 oranges, leading to the total count being a product of the number of boxes and the number of oranges per box. Hence, option 'A' is indeed the correct answer.
Write the algebraic expression for:Shyam has x pens. Ram has 15 more pens than Shyam. How many pens does Ram have? - a)x + 15
- b)x - 15
- c)15x
- d)none of the above
Correct answer is option 'A'. Can you explain this answer?
Write the algebraic expression for:
Shyam has x pens. Ram has 15 more pens than Shyam. How many pens does Ram have?
a)
x + 15
b)
x - 15
c)
15x
d)
none of the above
|
Praveen Kumar answered |
- Shyam has x pens.
- Ram has 15 more pens than Shyam.
- To find the number of pens Ram has, add 15 to the number of pens Shyam has. that is x + 15
- The correct answer is not given among the options provided. Therefore, the answer is A : x + 15
- Ram has 15 more pens than Shyam.
- To find the number of pens Ram has, add 15 to the number of pens Shyam has. that is x + 15
- The correct answer is not given among the options provided. Therefore, the answer is A : x + 15
Convert 
in the simplest form.- a) 1:4
- b)3:2
- c)4:1
- d)7:3
Correct answer is option 'A'. Can you explain this answer?
Convert in the simplest form.
in the simplest form.a)
1:4
b)
3:2
c)
4:1
d)
7:3
|
Samiksha bajaj answered |
On multiplying both sides of the ratio by 8, we get 1 on left sids and 4 on right side.
Hence, 1:4.
Which of the following is the perimeter of a regular hexagon of side 's' units?- a)6 s units
- b)12 s units
- c) 6 s2 sq units
- d)-6 s units
Correct answer is option 'A'. Can you explain this answer?
Which of the following is the perimeter of a regular hexagon of side 's' units?
a)
6 s units
b)
12 s units
c)
6 s2 sq units
d)
-6 s units
|
Aryan Desai answered |
A regular hexagon has 6 equal sides. Hence perimeter = 6s units.
A number is multiplied by 6 and 12 is added to the product. The result is 84. What is the number?
- a)-12
- b)72
- c)12
- d)-72
Correct answer is option 'C'. Can you explain this answer?
A number is multiplied by 6 and 12 is added to the product. The result is 84. What is the number?
a)
-12
b)
72
c)
12
d)
-72
|
Sagnik Chatterjee answered |
Let the number be x
Then, x×6 + 12 = 84
⇒ 6x = 84−12 = 72
⇒x = 72/6 = 12
Hence required number is x = 12
Then, x×6 + 12 = 84
⇒ 6x = 84−12 = 72
⇒x = 72/6 = 12
Hence required number is x = 12
Radha is drawing a Rangoli pattern. If there are 8 dots in each row, how many dots will there be if she draws 7 rows?- a)8 + 8 / 7
- b)8 + 7
- c)7 * 8
- d)8 / 7
Correct answer is option 'C'. Can you explain this answer?
Radha is drawing a Rangoli pattern. If there are 8 dots in each row, how many dots will there be if she draws 7 rows?
a)
8 + 8 / 7
b)
8 + 7
c)
7 * 8
d)
8 / 7
|
|
EduRev Class 6 answered |
The total number of dots is calculated by multiplying the number of rows (7) by the number of dots in each row (8).
Mother gives 12 laddus to guests and keeps 3 laddus for herself. If the total number of laddus is 'l,' how many laddus did she originally have?- a)15
- b)12
- c)9
- d)20
Correct answer is option 'A'. Can you explain this answer?
Mother gives 12 laddus to guests and keeps 3 laddus for herself. If the total number of laddus is 'l,' how many laddus did she originally have?
a)
15
b)
12
c)
9
d)
20
|
|
Vp Classes answered |
The total number of laddus is the sum of the ones given to the guests (12) and the ones kept by the mother (3). So, the original total number is 15.
Find the length of a side of an equilateral triangular garden whose perimeter is 66 m.- a)66 m
- b)11 m
- c)3 m
- d)22 m
Correct answer is option 'D'. Can you explain this answer?
Find the length of a side of an equilateral triangular garden whose perimeter is 66 m.
a)
66 m
b)
11 m
c)
3 m
d)
22 m
|
Sagar Mehra answered |
Let the side of an equilateral triangular garden be x m.
So, 3x = 66 ⇒ x = 22m
So, 3x = 66 ⇒ x = 22m
what is the value of p?- a)-9
- b)6
- c)9
- d)0
Correct answer is option 'C'. Can you explain this answer?
what is the value of p?a)
-9
b)
6
c)
9
d)
0
|
|
Dr Manju Sen answered |
The given equation is:
Let's solve it step by step:
- Convert the mixed fractions into improper fractions:
= 5/2
= 7/2
The equation now becomes: (2/3) * P - 5/2 = 7/2 - Add 5/2 to both sides to isolate the term with P: (2/3) * P = 7/2 + 5/2 (2/3) * P = 12/2 (2/3) * P = 6
- Multiply both sides by 3/2 to solve for P: P = (6) * (3/2) P = 18/2 P = 9
The side of an equilateral triangle is shown by S. Express the perimeter of the equilateral triangle using S.- a)3S
- b)2S
- c)S
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The side of an equilateral triangle is shown by S. Express the perimeter of the equilateral triangle using S.
a)
3S
b)
2S
c)
S
d)
None of these
|
|
EduRev Class 6 answered |
We will be using the formula for the perimeter of the equilateral triangle
The side of an equilateral triangle is given as S units.
So, perimeter of the equilateral triangle = 3 × side-length
= 3 × S units
= 3S units
Therefore, 3S units is the perimeter of the equilateral triangle.
If there are 4 cadets in a row, what is the rule for calculating the number of cadets given the number of rows?- a)Multiply the number of rows by 4
- b)Multiply the number of rows by 5
- c)Divide the number of rows by 4
- d)Add 4 to the number of rows
Correct answer is option 'A'. Can you explain this answer?
If there are 4 cadets in a row, what is the rule for calculating the number of cadets given the number of rows?
a)
Multiply the number of rows by 4
b)
Multiply the number of rows by 5
c)
Divide the number of rows by 4
d)
Add 4 to the number of rows
|
|
EduRev Class 6 answered |
The number of cadets is determined by multiplying the number of rows by 4. So, if there are 4 cadets per row, the total number of cadets is calculated using this multiplication.
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