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5951.

The sum of three consecutive even numbers is 126. Find the numbers.

Answer» The sum of three consecutive even numbers is 126. Find the numbers.
5952.

Find the missing value of p for the following distribution whose mean is 12.58. x:581012p2025f:25822742

Answer»

Find the missing value of p for the following distribution whose mean is 12.58.

x:581012p2025f:25822742


5953.

What is the value of additive inverse of [2 MARKS] (i) 78 (ii) 12

Answer»

What is the value of additive inverse of [2 MARKS]

(i) 78

(ii) 12

5954.

If today is Tuesday, the probability that tomorrow is a Wednesday is

Answer»

If today is Tuesday, the probability that tomorrow is a Wednesday is

5955.

Simplest form of 18/90 is:

Answer»

Simplest form of 18/90 is:


5956.

Form a ‘Road safety commitee’ of two, from 2 boys (B1, B2) and 2 girls(G1, G2). Complete the following activity to write the sample space.(a) Committee of 2 boys = x (b) Committee of 2 girls = x (c) Committee of one boy and one girl = B1 G1 x x x ∴ Sample space = {..., ..., ..., ..., ..., ...}

Answer» Form a ‘Road safety commitee’ of two, from 2 boys (B1, B2) and 2 girls(G1, G2). Complete the following activity to write the sample space.

(a) Committee of 2 boys = x



(b) Committee of 2 girls = x



(c) Committee of one boy and one girl = B1 G1 x x x
∴ Sample space = {..., ..., ..., ..., ..., ...}


5957.

Question 88 State whether the statement is True or False. Product of two negative integers is a negative integer.

Answer»

Question 88

State whether the statement is True or False.

Product of two negative integers is a negative integer.

5958.

Find the perimeter of rectangle whose length is 40 cm and diagonal is 41 cm.

Answer»

Find the perimeter of rectangle whose length is 40 cm and diagonal is 41 cm.

5959.

A milkman sold his 2 buffaloes for RS 20000 each . One made gain of five percent and other a loss of ten percent . Find his overall gain or loss

Answer» A milkman sold his 2 buffaloes for RS 20000 each . One made gain of five percent and other a loss of ten percent . Find his overall gain or loss
5960.

In the figure, given below ∠COD = 150∘. Choose the correct option.

Answer»

In the figure, given below COD = 150. Choose the correct option.


5961.

Find the largest integer n such that n+10 divides n(power 3)+100

Answer» Find the largest integer n such that n+10 divides n(power 3)+100
5962.

Subtract : 913 - 213 = ____

Answer»

Subtract : 913 - 213 = ____

5963.

Find the perimeter and area of a garden with measures as shown in the figure alongside.

Answer» Find the perimeter and area of a garden with measures as shown in the figure alongside.




5964.

Draw an obtuse-angled triangle and a right-angled triangle. Find the points of concurrence of the angle bisectors of each triangle. Where do the points of concurrence lie?

Answer»
Draw an obtuse-angled triangle and a right-angled triangle. Find the points of concurrence of the angle bisectors of each triangle. Where do the points of concurrence lie?
5965.

If the supplement of an angle is 152°, then what is the complement of that angle?

Answer»

If the supplement of an angle is 152°, then what is the complement of that angle?


5966.

Shape of rainbow

Answer» Shape of rainbow
5967.

A solid has 40 faces 60 edges how many vertices does it have.

Answer»

A solid has 40 faces 60 edges how many vertices does it have.

5968.

The area of a rectangular sheet of paper is 20 cm2. Its length is 5 cm. Find its width. Also find the perimeter of that sheet

Answer» The area of a rectangular sheet of paper is 20 cm2. Its length is 5 cm. Find its width.

Also find the perimeter of that sheet




5969.

Question 99 The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle.

Answer»

Question 99

The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle.

5970.

Which ratio is greater: 3 : 7 or 6:13?

Answer» Which ratio is greater: 3 : 7 or 6:13?
5971.

Which of the following should be the SECOND sentence after rearrangement?

Answer»

Which of the following should be the SECOND sentence after rearrangement?


5972.

Question 81 (i)Add :7a2bc,−3abc2,3a2bc,2abc2

Answer»

Question 81 (i)



Add :



7a2bc,3abc2,3a2bc,2abc2



5973.

If the markup used by the retailer is 60%, then find the cost of a bag, whose selling price is $320.$

Answer» If the markup used by the retailer is 60%, then find the cost of a bag, whose selling price is $320.

$
5974.

Question 77Draw the net of a regular hexahedron with side 3 cm.[Hint: Regular hexahedron - cube]

Answer» Question 77



Draw the net of a regular hexahedron with side 3 cm.

[Hint: Regular hexahedron - cube]


5975.

Product of two numbers is -5. If one of them is 1, the other is

Answer»

Product of two numbers is -5. If one of them is 1, the other is


5976.

In △ABC, AB=AC and ∠B=40∘. What is the value of ∠C?​​​​​​​

Answer»



In ABC, AB=AC and B=40. What is the value of C?​​​​​​​



5977.

In the figure shown, which of the angles pair are not supplementary – if lines t and l are not perpendicular?

Answer»

In the figure shown, which of the angles pair are not supplementary – if lines t and l are not perpendicular?


5978.

Find the product of the following numbers using the formula (x + a) (x + b).

Answer»

Find the product of the following numbers using the formula (x + a) (x + b).



5979.

The shorter side of a parallelogram is 4.8cm and the longer side is half as much again as the shorter side.find the perimetre

Answer» The shorter side of a parallelogram is 4.8cm and the longer side is half as much again as the shorter side.find the perimetre
5980.

If there is a chance that an event will happen, then its probability is between zero and _______ .

Answer»

If there is a chance that an event will happen, then its probability is between zero and _______ .


5981.

In a morning walk four boys steps off together. Their steps measure 70 cm , 65 cm , 75 cm and 80 cm respectively . At what distance from the starting point will they step off together again?

Answer» In a morning walk four boys steps off together. Their steps measure 70 cm , 65 cm , 75 cm and 80 cm respectively . At what distance from the starting point will they step off together again?
5982.

Find the number of decimal places in 34.597.

Answer» Find the number of decimal places in 34.597.
5983.

If ΔABC≅ΔPQR, then AB is equal to ___.

Answer»

If ΔABCΔPQR, then AB is equal to ___.




5984.

The sum of two binomials is 5x2−6x. If one of the binomial is 3x2−2x, what is the other binomial?

Answer» The sum of two binomials is 5x26x. If one of the binomial is 3x22x, what is the other binomial?
5985.

Let f(x) be a function defined in \lbrack0,5\rbrack such that f^2(x) = 1 ∀ x∈\lbrack0,5\rbrack and f(x) is discontinuous only at all integers in \lbrack0,5\rbrack. Find the total number of possible functions.

Answer» Let f(x) be a function defined in \lbrack0,5\rbrack such that f^2(x) = 1 ∀ x∈\lbrack0,5\rbrack and f(x) is discontinuous only at all integers in \lbrack0,5\rbrack. Find the total number of possible functions.
5986.

A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is –(1) an ace.(2) a spade.

Answer» A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is –

(1) an ace.

(2) a spade.
5987.

What is the order of rotational symmetry of a square about its centre?4

Answer» What is the order of rotational symmetry of a square about its centre?
  1. 4
5988.

Question 3AD and BC are equal perpendiculars to a line segment AB.Show that CD bisects AB.

Answer»

Question 3

AD and BC are equal perpendiculars to a line segment AB.

Show that CD bisects AB.



5989.

Question 4 A box contains two pairs of socks of two colours (black and white). I have picked out a white sock. I pick out one more with my eyes closed. What is the probability that it will make a pair?

Answer» Question 4
A box contains two pairs of socks of two colours (black and white). I have picked out a white sock. I pick out one more with my eyes closed. What is the probability that it will make a pair?
5990.

In the figure: ∠PSQ=90∘, PQ = 10 cm, QS = 6 cm and RQ = 9 cm. Calculate the length of PR.

Answer»

In the figure: PSQ=90,
PQ = 10 cm, QS = 6 cm and RQ = 9 cm.
Calculate the length of PR.


5991.

Mark the correct alternative in each of the following:The product 317×156×125×1111 is equal to(a) 585 (b) 545 (c) 845 (d) 745

Answer» Mark the correct alternative in each of the following:



The product 317×156×125×1111 is equal to



(a) 585 (b) 545 (c) 845 (d) 745
5992.

Find the cost of polishing a circular table top of diameter 1.6, if the rate of polishing is ₹15/m^2

Answer» Find the cost of polishing a circular table top of diameter 1.6, if the rate of polishing is ₹15/m^2
5993.

आधी-आधी फसल हाथी ने किस तरह बाँटी?

Answer» आधी-आधी फसल हाथी ने किस तरह बाँटी?
5994.

Examine wheter the given triangles are congruent or not.

Answer» Examine wheter the given triangles are congruent or not.


5995.

Ted and his friends Ned and Red are running a race. Ted on track A, Ned on B and Red on track C. The radius of track A is 14 m. For a fair race, the initial separation between Ted and Ned is 22 m. Find the initial separation between Ned and Red if the radius of the tracks increases uniformly.

Answer»

Ted and his friends Ned and Red are running a race. Ted on track A, Ned on B and Red on track C. The radius of track A is 14 m. For a fair race, the initial separation between Ted and Ned is 22 m. Find the initial separation between Ned and Red if the radius of the tracks increases uniformly.


5996.

The cost of fencing a triangular ground having the sides 15 m , 8 m and x m at the rate of ₹3 per m is :

Answer»

The cost of fencing a triangular ground having the sides 15 m , 8 m and x m at the rate of ₹3 per m is :


5997.

The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.

Answer» The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
5998.

In the given figure, AB∥DC and AD∥BC.Also, ∠ADC=(2x+5)∘ and ∠BCD=(3x+55)∘. Find the measure of x.

Answer»

In the given figure, ABDC and ADBC.



Also, ADC=(2x+5) and BCD=(3x+55). Find the measure of x.



5999.

In the given image, the rational number that is represented by the red arrow is .

Answer»

In the given image, the rational number that is represented by the red arrow is .


6000.

Which of the following will have 9 in it's unit place?

Answer»

Which of the following will have 9 in it's unit place?