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4901.

In any triangle ABC, E and D are the points on AC and BC respectively. AF bisects angle CAD and BF bisects angle CBE such that F lies in the interior of triangle ABC. If angle AEB=110 degree -angle ADB, then angle AFB is

Answer» In any triangle ABC, E and D are the points on AC and BC respectively. AF bisects angle CAD and BF bisects angle CBE such that F lies in the interior of triangle ABC. If angle AEB=110 degree -angle ADB, then angle AFB is
4902.

Question 44In the question given below, fill in the blank to make the statement true:Factorised form of 18mn+10mnp is ___

Answer» Question 44



In the question given below, fill in the blank to make the statement true:




Factorised form of 18mn+10mnp is ___
4903.

A car traveled a distance of 300 km in 5 hours. Its average speed is ________

Answer»

A car traveled a distance of 300 km in 5 hours. Its average speed is ________

4904.

If I sell 45th of 10 apples, how many are left?

Answer»

If I sell 45th of 10 apples, how many are left?



4905.

Question 2 In which of the following expressions only numbers are used: (a) y + 3 (b) (7×20)−8z (c) 5(21−7)+7×2 (d) 5 (e) 3x (f) 5-5n (g) (7×20)−(5×10)−45+p

Answer»

Question 2

In which of the following expressions only numbers are used:

(a) y + 3

(b) (7×20)8z

(c) 5(217)+7×2

(d) 5

(e) 3x

(f) 5-5n

(g) (7×20)(5×10)45+p

4906.

Alex drives a car at a speed of 52 km per hour for 8 hours. How far does he travel?

Answer»

Alex drives a car at a speed of 52 km per hour for 8 hours. How far does he travel?


4907.

In the given figure, which pair of angles are not supplementary?

Answer»

In the given figure, which pair of angles are not supplementary?




4908.

If N={(3+22 + 3-22)/3+1}-23-1 than find the value of N

Answer» If N={(3+22 + 3-22)/3+1}-23-1 than find the value of N
4909.

If 45 men and 60 boys can do a piece of work in 20 days. How many days will 15 men and 20 boys take to complete the work?

Answer» If 45 men and 60 boys can do a piece of work in 20 days. How many days will 15 men and 20 boys take to complete the work?
4910.

Find the area of the given figure (all dimensions are in cm).

Answer»

Find the area of the given figure (all dimensions are in cm).




4911.

Question 22 Which of the following has a line of symmetry? a) b) c) d)

Answer»

Question 22
Which of the following has a line of symmetry?

a)

b)

c)

d)

4912.

A circle is inscribed inside a square of area 100cm2. Radius of the circle is ____________.

Answer»

A circle is inscribed inside a square of area 100cm2. Radius of the circle is ____________.


4913.

The reciprocal ratio of 1a:1b is

Answer»

The reciprocal ratio of 1a:1b is

4914.

Question 23I think of a number and on adding 13 to it, I get 27. Equation for this is(a) x - 27 = 13(b) x - 13 = 27(c) x + 27 = 13(d) x + 13 = 27

Answer»

Question 23



I think of a number and on adding 13 to it, I get 27. Equation for this is



(a) x - 27 = 13



(b) x - 13 = 27



(c) x + 27 = 13



(d) x + 13 = 27



4915.

If 3x+4y is added to 7x−5y, then find the coefficient of y in the algebraic expression obtained by evaluating the sum.

Answer»

If 3x+4y is added to 7x5y, then find the coefficient of y in the algebraic expression obtained by evaluating the sum.

4916.

Solve the following simultaneous equations.(i) x3 + y4 = 4 ; x2 - y4= 1(ii) x3 + 5y = 13 ; 2x + y2 =19(iii) 2x + 3y = 13 ; 5x - 4y = -2

Answer» Solve the following simultaneous equations.



(i) x3 + y4 = 4 ; x2 - y4= 1



(ii) x3 + 5y = 13 ; 2x + y2 =19



(iii) 2x + 3y = 13 ; 5x - 4y = -2
4917.

If length and breadth of a rectangle is 'x' and 'y' respectively, then find the perimeter of the rectangle.

Answer»

If length and breadth of a rectangle is 'x' and 'y' respectively, then find the perimeter of the rectangle.


4918.

In the given figure, find whether l is parallel to m.

Answer» In the given figure, find whether l is parallel to m.




4919.

Which of the following numbers lie between 34 and 74?

Answer»

Which of the following numbers lie between 34 and 74?


4920.

Is a square prism same as a cube? Give reason. [2 MARKS]

Answer»

Is a square prism same as a cube? Give reason. [2 MARKS]

4921.

Question 2 (i) Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. 26 and 91

Answer» Question 2 (i)
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.
26 and 91
4922.

From the diagram, if AB and CD are parallel to each other, then the value of reflex ∠EOF is

Answer» From the diagram, if AB and CD are parallel to each other, then the value of reflex EOF is
4923.

Two lines intersect at a point 'O'. If one of the four angles formed is 30°, what is the angle opposite to it?

Answer»

Two lines intersect at a point 'O'. If one of the four angles formed is 30°, what is the angle opposite to it?




4924.

The base of a square pyramid is a ____.

Answer»

The base of a square pyramid is a ____.



4925.

Simplify (-9)×18-(-9)×8

Answer» Simplify (-9)×18-(-9)×8
4926.

Step 1: 3x+2=17Step 2: 3x=17−2This process of shifting the number from one side of the equation to the other side is called as ___.

Answer»

Step 1: 3x+2=17

Step 2: 3x=172

This process of shifting the number from one side of the equation to the other side is called as ___.

4927.

FInd the value of x and y if the quanity and cost are always in proportion. Quantity(kg) 4 6 y Cost(₹) 68 x 153

Answer» FInd the value of x and y if the quanity and cost are always in proportion.















Quantity(kg) 4 6 y
Cost(₹) 68 x 153


4928.

A cuboid can have ____ base.

Answer»

A cuboid can have ____ base.



4929.

Find the area of the shaded part of the figure.(All figures are in cm)

Answer» Find the area of the shaded part of the figure.(All figures are in cm)


4930.

If P(A)=0.7,P(B)=0.55,P(C)=0.5,P(A∩B)=x,P(A∩C)=0.45,P(B∩C)=0.4 and P(A∩B∩C)=0.2 such that α100≤x≤β100, then the value of α+β is

Answer» If P(A)=0.7,P(B)=0.55,P(C)=0.5,P(AB)=x,P(AC)=0.45,P(BC)=0.4 and P(ABC)=0.2 such that α100xβ100, then the value of α+β is
4931.

Simplify:9w3×3w9

Answer»

Simplify:

9w3×3w9


4932.

Ratios can be classified as :

Answer»

Ratios can be classified as :


4933.

A floor which measures 15 m into 8 m is to be laid with tiles measuring 50 cm by 25 cm. Find the number of tiles required. Further, if a carpet is laid on the floor so that a space of 1m exists between its edges and the edges of the floor, what fraction of the flow is uncovered?

Answer»

A floor which measures 15 m into 8 m is to be laid with tiles measuring 50 cm by 25 cm. Find the number of tiles required. Further, if a carpet is laid on the floor so that a space of 1m exists between its edges and the edges of the floor, what fraction of the flow is uncovered?

4934.

(−20)−(−25)= ____

Answer»

(20)(25)= ____


4935.

If Meena gives an interest of Rs 45 for one year at 9% rate p.a.. What is the sum she has borrowed?

Answer»

If Meena gives an interest of Rs 45 for one year at 9% rate p.a.. What is the sum she has borrowed?

4936.

The length and breadth of a rectangle are in the ratio 4 : 3 and if the area of the rectangle is 1728 sq .units, then find the length and breadth of the rectangle

Answer»

The length and breadth of a rectangle are in the ratio 4 : 3 and if the area of the rectangle is 1728 sq .units, then find the length and breadth of the rectangle



4937.

Find the value of x, if 23 and 5x are equivalent rational numbers.

Answer» Find the value of x, if 23 and 5x are equivalent rational numbers.
4938.

15×21+(−5)×(−7)= ___

Answer»

15×21+(5)×(7)= ___

4939.

Argument of complex number ( i^i^i ) ?

Answer» Argument of complex number ( i^i^i ) ?
4940.

Question 85(ii)Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.Draw a graph using the first five pairs of numbers in your table.

Answer» Question 85(ii)

Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.







Draw a graph using the first five pairs of numbers in your table.


4941.

The negative of a negative rational number is always a ___ rational number.

Answer» The negative of a negative rational number is always a ___ rational number.
4942.

Write a program to read a list of n integers (positive as well as negative). Create two new lists, one having all positive numbers and the other having all negative numbers from the given list. Print all three lists.

Answer» Write a program to read a list of n integers (positive as well as negative). Create two new lists, one having all positive numbers and the other having all negative numbers from the given list. Print all three lists.
4943.

Solve using properties- 21+(-21)×(-999)

Answer»

Solve using properties-

21+(-21)×(-999)

4944.

Given flags of different colors, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?

Answer» Given flags of different colors, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?
4945.

Write the sum of interior angles of an equilateral triangle, a regular quadrilateral, a regular pentagon.....etc as a sequence.

Answer» Write the sum of interior angles of an equilateral triangle, a regular quadrilateral, a regular pentagon.....etc as a sequence.
4946.

Which of the strips highlighted in green represents 38?

Answer»

Which of the strips highlighted in green represents 38?

4947.

5−x<6 can be simplified as .

Answer» 5x<6 can be simplified as .
4948.

Question 1Write True or False and justify your answer:The area of a triangle with base 4cm and height 6cm is 24 cm2.

Answer» Question 1

Write True or False and justify your answer:



The area of a triangle with base 4cm and height 6cm is 24 cm2.
4949.

What is the volume of a pyramid with a height of 6 cm and a square base with a side length of 4 cm? cm3

Answer» What is the volume of a pyramid with a height of 6 cm and a square base with a side length of 4 cm?

cm3
4950.

Fill in the blanks:2 l 5 ml=........... l

Answer» Fill in the blanks:



2 l 5 ml=........... l