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12801.

The students of Class VIII of a school donated ₹2,401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

Answer» The students of Class VIII of a school donated ₹2,401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.
12802.

Consider the following data depicting the score of students of grade 7 in History test.Draw the frequency table of this data and find the mode.

Answer»

Consider the following data depicting the score of students of grade 7 in History test.





Draw the frequency table of this data and find the mode.


12803.

Write the equation of the line parallel to the Y-axis at a distance of 7 units from it to its left.

Answer» Write the equation of the line parallel to the Y-axis at a distance of 7 units from it to its left.
12804.

In a fort, 200 men had provision for 60 days. After 20 days, 40 men were shifted to other places. How long will the provision last for remaining men at the same rate?

Answer» In a fort, 200 men had provision for 60 days. After 20 days, 40 men were shifted to other places. How long will the provision last for remaining men at the same rate?
12805.

Find the values of A and B. 1 2 A+ 6 A B A 0 9

Answer»

Find the values of A and B.
1 2 A+ 6 A B A 0 9


12806.

If the median of the following frequency distribution is 32.5, find the values of f1 and f2 Class0−1010−2020−3030−4040−5050−6060−70TotalintervalFrequencyf15912f23240

Answer»

If the median of the following frequency distribution is 32.5, find the values of f1 and f2 Class010102020303040405050606070TotalintervalFrequencyf15912f23240



12807.

Question 4(b)Simplify : a(a2+a+1)+5 and find its value for (i) a=0 (ii) a=1 (iii) a=-1.

Answer»

Question 4(b)

Simplify : a(a2+a+1)+5 and find its value for (i) a=0 (ii) a=1 (iii) a=-1.



12808.

Question 35Fill in the blanks to make the statement true.If a pyramid has a hexagonal base, then the number of vertices is ___.

Answer» Question 35



Fill in the blanks to make the statement true.



If a pyramid has a hexagonal base, then the number of vertices is ___.
12809.

Justify the following statements with reasons:(a) The sum of three sides of a triangle is more than the sum of its altitudes.(b) The sum of any two sides of a triangle is greater than twice the median drawn to the third side.(c) Difference of any two sides of triangle is less than the third side.

Answer»

Justify the following statements with reasons:



(a) The sum of three sides of a triangle is more than the sum of its altitudes.



(b) The sum of any two sides of a triangle is greater than twice the median drawn to the third side.



(c) Difference of any two sides of triangle is less than the third side.

12810.

1.The ratio in which the line 4x+3y-13=0 divide the line segment joining the points (2,1) and (1,4) is m:n .Find m+n

Answer» 1.The ratio in which the line 4x+3y-13=0 divide the line segment joining the points (2,1) and (1,4) is m:n .Find m+n
12811.

Find the solution for the following pair of equations4x+5y=−43x−2y=−3

Answer»

Find the solution for the following pair of equations

4x+5y=4

3x2y=3

12812.

Question 56 When a die is thrown, outcomes 1,2,3,4,5,6 are equally___.

Answer»

Question 56

When a die is thrown, outcomes 1,2,3,4,5,6 are equally___.

12813.

What is ratio?

Answer»

What is ratio?



12814.

Can there be a temperature-time graph as follows? Justify your answer.

Answer» Can there be a temperature-time graph as follows? Justify your answer.



12815.

Subtract the sum of 2x−x2+5 and −4x−3+7x2 from 5.

Answer»

Subtract the sum of 2xx2+5 and 4x3+7x2 from 5.

12816.

Question 49Which points in the given figures appear to be mid-points of the line segments? When you locate a mid-point, then name the two equal line segments formed by it.

Answer»

Question 49



Which points in the given figures appear to be mid-points of the line segments? When you locate a mid-point, then name the two equal line segments formed by it.





12817.

How many zeroes will 190002 have at the end?

Answer»

How many zeroes will 190002 have at the end?



12818.

The price of a washing machine, inclusive of Tax, is Rs. 13,530/-. If the tax is 10%, find its basic (cost) price.

Answer»

The price of a washing machine, inclusive of Tax, is Rs. 13,530/-. If the tax is 10%, find its basic (cost) price.

12819.

If two figures are identical, then they are said to be ___.

Answer» If two figures are identical, then they are said to be ___.
12820.

{ Let }f(x)=ax^2-b\vert x\vert, where }a and }b are constant. }}{ Then at }x=0,f(x) has

Answer» { Let }f(x)=ax^2-b\vert x\vert, where }a and }b are constant. }}{ Then at }x=0,f(x) has
12821.

Derek makes a series using some shapes as shown below. He is confused about what will come in place of the 5th block.Help him find the 5th block to complete the series.

Answer»

Derek makes a series using some shapes as shown below. He is confused about what will come in place of the 5th block.





Help him find the 5th block to complete the series.

12822.

The line passes through the center of the given circle. Find the angle ∠Y. degrees

Answer» The line passes through the center of the given circle. Find the angle ∠Y.



degrees
12823.

how to determine the direction of progression of a wave from its equation?like many eqn are thereeg. Sin(kx-wt) , Sin(wt-kx) etc etc

Answer» how to determine the direction of progression of a wave from its equation?
like many eqn are there
eg. Sin(kx-wt) , Sin(wt-kx) etc etc
12824.

-6 divided by 0 is ____

Answer»

-6 divided by 0 is ____



12825.

The following are the marks obtained by students in a class VIII 50, 60,30,90,45. If two students are selected then what is the probability that the sum of the scores obtained by them is divisible by 2?

Answer»

The following are the marks obtained by students in a class VIII 50, 60,30,90,45. If two students are selected then what is the probability that the sum of the scores obtained by them is divisible by 2?


12826.

Question 76Between any two rational numbers there are exactly ten rational numbers.

Answer» Question 76

Between any two rational numbers there are exactly ten rational numbers.


12827.

The cost of a TV set was quoted Rs. 17000 at the beginning of 2000. In the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What was the cost of the T.V. set in 2001?

Answer»

The cost of a TV set was quoted Rs. 17000 at the beginning of 2000. In the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What was the cost of the T.V. set in 2001?

12828.

In the given figure, XY||QR, XZ||PR and YZ||PQ.Which of the following correct?

Answer»

In the given figure,



XY||QR, XZ||PR and YZ||PQ.

Which of the following correct?

12829.

if x+1/x=2 then find the value of x^{100}+1/x^{100} ,find attached solutio

Answer» if x+1/x=2 then find the value of x^{100}+1/x^{100} ,find attached solutio
12830.

The diagram shows a square divided into strips of equal width. Three strips are black and two are grey. What fraction of the perimeter of the square is grey?

Answer»

The diagram shows a square divided into strips of equal width. Three strips are black and two are grey. What fraction of the perimeter of the square is grey?


12831.

Find the mean age in years from the frequency distribution given below:Class interval of age in yearsFrequency(fi)25−29430−341435−392240−441645−49650−54555−593Total70

Answer»

Find the mean age in years from the frequency distribution given below:

Class interval of age in yearsFrequency(fi)25294303414353922404416454965054555593Total70



12832.

Question 3In the given question, out of four options, only one is correct. Write the correct answer. The usual form of 1000a + 10b + c is(a) abc(b) abc0(c) a0 bc(d) ab0 c

Answer» Question 3



In the given question, out of four options, only one is correct. Write the correct answer.



The usual form of 1000a + 10b + c is

(a) abc

(b) abc0

(c) a0 bc

(d) ab0 c
12833.

find two consecutive positive integers , sum of whose squares are is 925

Answer» find two consecutive positive integers , sum of whose squares are is 925
12834.

What is the cube root of 36×48?

Answer»

What is the cube root of 36×48?



12835.

Locate √19 on number line with steps.

Answer» Locate √19 on number line with steps.
12836.

Find the value of the following: ​a) (67.542)2−(32.458)275.458−40.374 ​b) (−3)0−(−3)3−(−3)−1+(−3)4−(−3)−2 [4 MARKS]

Answer» Find the value of the following:

a) (67.542)2(32.458)275.45840.374

b) (3)0(3)3(3)1+(3)4(3)2 [4 MARKS]
12837.

A share agent sells 2000 shares at Rs 45 each and gets the commission at the rate of 1.5%. Find the amount the agent gets.

Answer»

A share agent sells 2000 shares at Rs 45 each and gets the commission at the rate of 1.5%. Find the amount the agent gets.

12838.

A number was increased by 20%. By what percent it should be decreased again to obtain the original number?

Answer»

A number was increased by 20%. By what percent it should be decreased again to obtain the original number?


12839.

Simplify (a+b)2−2ab.

Answer»

Simplify (a+b)22ab.

12840.

Question 46 A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR=90∘. Then, PQRS is a a) Square b) Rectangle c) Rhombus d) Trapezium

Answer» Question 46
A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and PQR=90. Then, PQRS is a
a) Square
b) Rectangle
c) Rhombus
d) Trapezium
12841.

If a pizza is cut into 6 equal parts and 2 parts out of them are eaten, then the fraction of the pizza eaten is .

Answer»

If a pizza is cut into 6 equal parts and 2 parts out of them are eaten, then the fraction of the pizza eaten is .

12842.

Question 3 (ii)Construct the angles of the following measurements:(ii) 2212∘

Answer»

Question 3 (ii)

Construct the angles of the following measurements:

(ii) 2212



12843.

If each exterior angle of a regular polygon is 36∘, then find the number of sides of the polygon and hence name the polygon.

Answer» If each exterior angle of a regular polygon is 36, then find the number of sides of the polygon and hence name the polygon.
12844.

Match the column I with column II for the given image below.

Answer»

Match the column I with column II for the given image below.


12845.

Question4(i)A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.(T/F)

Answer» Question4(i)

A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.(T/F)
12846.

Question 88Solve the following question:Write cubes of first three multiples of 3.

Answer»

Question 88



Solve the following question:



Write cubes of first three multiples of 3.



12847.

What is meant by mode of a given set of observations?

Answer»

What is meant by mode of a given set of observations?



12848.

Given below is the data set for the number of states visited by students. What is the difference between median with outlier and median without outlier?

Answer»

Given below is the data set for the number of states visited by students.





What is the difference between median with outlier and median without outlier?


12849.

Find the square root of 15 using long division method upto 2 decimal places.

Answer»

Find the square root of 15 using long division method upto 2 decimal places.

12850.

Construct a triangle ABC whose perimeter 12 cm and whose base angles are 65° and 85°.

Answer»

Construct a triangle ABC whose perimeter 12 cm and whose base angles are 65° and 85°.