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8251.

The base BC of an isosceles triangle ABC is produced to D and a straightline DQ is drawn cutting AC at P and meeting AB in Q. Prove that AP isgreater than AQ\lbrack4\rbrack

Answer» The base BC of an isosceles triangle ABC is produced to D and a straightline DQ is drawn cutting AC at P and meeting AB in Q. Prove that AP isgreater than AQ\lbrack4\rbrack
8252.

Product of 9.52 and 9.82 will be :

Answer»

Product of 9.52 and 9.82 will be :


8253.

Starting at 1 on the number line, we will arrive at -8 after two jumps. Choose the appropriate expression for the situation.

Answer»

Starting at 1 on the number line, we will arrive at -8 after two jumps. Choose the appropriate expression for the situation.




8254.

39. Prove that the perpendicular lines drawn from two parallel lines are also parallel to each other?

Answer» 39. Prove that the perpendicular lines drawn from two parallel lines are also parallel to each other?
8255.

ntThe square root of 2(a +2b +c) + 2(4ac + 8bc) is -n ntA)a +(2b) +cn ntB)(a +2b) +cn ntC)(2a +4b) +(2c)n ntD)(a+2b + c) + (ab)n

Answer» ntThe square root of 2(a +2b +c) + 2(4ac + 8bc) is -n ntA)a +(2b) +cn ntB)(a +2b) +cn ntC)(2a +4b) +(2c)n ntD)(a+2b + c) + (ab)n
8256.

What percentage of 1 hour is 30 minutes?50

Answer»

What percentage of 1 hour is 30 minutes?



  1. 50
8257.

Find the value of x. Given 3x+5y95−7z=1; 3y=3z−21; z−3=6.

Answer»

Find the value of x. Given 3x+5y957z=1; 3y=3z21; z3=6.

8258.

Question 12Which of the following is not a prism?

Answer» Question 12



Which of the following is not a prism?


8259.

Jim built two square-shaped walls which he named them as A & B. If the side of wall A is 2 times the side of wall B and the difference of their areas is 12 ft2, then the side(in feet) of wall A is .

Answer» Jim built two square-shaped walls which he named them as A & B. If the side of wall A is 2 times the side of wall B and the difference of their areas is 12 ft2, then the side(in feet) of wall A is .
8260.

Two lines are always

Answer»

Two lines are always


8261.

The heights (in cm) of 9 students of a class are 148, 144, 152, 155, 160, 147, 150, 149, 145. Find the median height.

Answer»

The heights (in cm) of 9 students of a class are
148, 144, 152, 155, 160, 147, 150, 149, 145.
Find the median height.


8262.

Question 04 In the standard form of a rational number, the common factor of numerator and denominator is always (a) 0 (b) 1 (c) -2 (d) 2

Answer»

Question 04

In the standard form of a rational number, the common factor of numerator and denominator is always

(a) 0

(b) 1

(c) -2

(d) 2

8263.

Question 81 (vi)Add:3a(a - b + c) , 2b(a - b + c)

Answer»

Question 81 (vi)



Add:



3a(a - b + c) , 2b(a - b + c)



8264.

Prove that in an equilateral triangle, three times the square of a side is equal to four times the square of its altitudes.

Answer» Prove that in an equilateral triangle, three times the square of a side is equal to four times the square of its altitudes.
8265.

Which of the following is/are a rational number?

Answer»

Which of the following is/are a rational number?

8266.

A= {x:x satisfies x^3 - 11x^2 + 39x -45=0}B= {x:x 5x-6, 3x+1,x-1 are the lengths of the sides of a triangle}, then n(A intersection B) is?

Answer» A= {x:x satisfies x^3 - 11x^2 + 39x -45=0}
B= {x:x 5x-6, 3x+1,x-1 are the lengths of the sides of a triangle}, then n(A intersection B) is?
8267.

Question 20If y is the reciprocal of rational number x, then the reciprocal of y will be(a) x(b) y(c) xy(d) yx

Answer»

Question 20

If y is the reciprocal of rational number x, then the reciprocal of y will be

(a) x

(b) y

(c) xy

(d) yx



8268.

Of the 5 institutions comprising the world bank group, India is not a member of

Answer» Of the 5 institutions comprising the world bank group, India is not a member of
8269.

ColumnAColumnB1.Areaa.67 m2.Perimeterb.Rs.6/m23.Cost per m2c.100 m2d.Rs.6 m2e.100/m2Which of the following options show the correct match of parameters in column A with possible values in column B?

Answer»

ColumnAColumnB1.Areaa.67 m2.Perimeterb.Rs.6/m23.Cost per m2c.100 m2d.Rs.6 m2e.100/m2


Which of the following options show the correct match of parameters in column A with possible values in column B?




8270.

Which of the following is a 'Euler’s formula'?

Answer»

Which of the following is a 'Euler’s formula'?



8271.

Find thewhole quantity if(a) 5% ofit is 600 (b) 12% of it is 1080(c) 40% ofit is 500 km (d) 70% of it is 14 minutes(e) 8% ofit is 40 litres

Answer»

Find the
whole quantity if



(a) 5% of
it is 600 (b) 12% of it is 1080


(c) 40% of
it is 500 km (d) 70% of it is 14 minutes


(e) 8% of
it is 40 litres

8272.

Check whether (20)? can end with the digit 5for any natural number n.(0)(i) Prove that (12)" cannot end with the digit 0 for any natural number n.

Answer»

Check whether (20)? can end with the digit 5for any natural number n.(0)(i) Prove that (12)" cannot end with the digit 0 for any natural number n.

8273.

Find the value of a satisfying the equation.(4^2)^a=(7^a)^2

Answer» Find the value of a satisfying the equation.(4^2)^a=(7^a)^2
8274.

Which of the following units represent the area.

Answer»

Which of the following units represent the area.

8275.

Question 14 (iv) In the adjoining figure, name the following pairs of angles: Unequal supplementary angels.

Answer»

Question 14 (iv)
In the adjoining figure, name the following pairs of angles:
Unequal supplementary angels.

8276.

Amir bought a piano for ₹60,000 and sold it for ₹72000. Find the profit.12000

Answer» Amir bought a piano for ₹60,000 and sold it for ₹72000. Find the profit.
  1. 12000
8277.

Salilwants to put a picture in a frame. The picture is cmwide.To fit inthe frame the picture cannot be more thancmwide. How much should the picture be trimmed?

Answer»

Salil
wants to put a picture in a frame. The picture is
cm
wide.


To fit in
the frame the picture cannot be more thancm
wide. How much should the picture be trimmed?

8278.

Question 83In a Hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?

Answer»

Question 83



In a Hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?



8279.

25. A glass cylender with diameter 20cm has water to a height of 9cm.A metal cube of 8cm edge is immersed in it completely . calculate the height by which water will rise in cylinder (take π=3.142)

Answer» 25. A glass cylender with diameter 20cm has water to a height of 9cm.A metal cube of 8cm edge is immersed in it completely . calculate the height by which water will rise in cylinder (take π=3.142)
8280.

Find the approximate area of the following apple if the area of each small square is 1 cm2.

Answer» Find the approximate area of the following apple if the area of each small square is 1 cm2.




8281.

You have fifty-nine and ninety-five. Which of the two is larger and also find the difference between them.

Answer»

You have fifty-nine and ninety-five. Which of the two is larger and also find the difference between them.


8282.

what is the area of a square field if its perimeter is 96m

Answer» what is the area of a square field if its perimeter is 96m
8283.

Question 24Figure shows the word REST written in two ways in front of a mirror. Show how the word would appear in the mirror.

Answer»

Question 24



Figure shows the word REST written in two ways in front of a mirror. Show how the word would appear in the mirror.





8284.

Multiply:(1) (−10) by (−15)(2) (+35) by (−5)(3) (−15) by (+8)(4) (+10) by (−10)(5) (+100) by (−10)

Answer»

Multiply:



(1) (−10) by (−15)



(2) (+35) by (−5)



(3) (−15) by (+8)



(4) (+10) by (−10)



(5) (+100) by (−10)



8285.

The table given below shows the marks obtained by 30 students in a test.Marks1−1011−2021−3031−4041−50(Class interval) Number of students710643(Frequency) Out of these students, one is chosen at random. What is the probability that the marks of the chosen student(i) are 30 or less?(ii) are 31 or more?(iii) lie in the interval 21-30?

Answer»

The table given below shows the marks obtained by 30 students in a test.



Marks1101120213031404150(Class interval) Number of students710643(Frequency)



Out of these students, one is chosen at random. What is the probability that the marks of the chosen student



(i) are 30 or less?



(ii) are 31 or more?



(iii) lie in the interval 21-30?



8286.

How to take out mode ,midian, mean, range and average know different different ways.

Answer»

How to take out mode ,midian, mean, range and average know different different ways.

8287.

Without using distance formula, show that points (–2,1),(4,0),(3,3) and (–3,2) are the vertices of a parallelogram.

Answer» Without using distance formula, show that points (2,1),(4,0),(3,3) and (3,2) are the vertices of a parallelogram.
8288.

Question 37State whether the given statement is True or False.Measures of ∠ ABC and ∠ CBA in the given figure are same.

Answer»

Question 37



State whether the given statement is True or False.



Measures of ABC and CBA in the given figure are same.





8289.

Divide 96 into two parts such that half of one part is equal to other part

Answer»

Divide 96 into two parts such that half of one part is equal to other part

8290.

X presents the following Profit and Loss Appropriation Account to his partner Y: Dr. Cr. ParticularsRsParticularsRsSalary to X24,000Profit for the year92,200Salary to Y12,000Interest on Capital at 6% p.a X on Rs 2,00,000 12,000 Y on Rs 50,000 3,000––––––15,000 Interest on X Loan at 12% p.a1,200Profit transferred to CapitalAccounts:- 3/4th to X 30,000 1/4 th to Y 10,000––––––––40,000¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯92,200––––––––¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯92,200–––––––– There is no Partnership Deed between X and Y. Y feels that he has not been treated fairly. You are required to prepare a new Profit and Loss Appropriation Account according to the provisions of Partnership Act.

Answer»

X presents the following Profit and Loss Appropriation Account to his partner Y:

Dr. Cr.

ParticularsRsParticularsRsSalary to X24,000Profit for the year92,200Salary to Y12,000Interest on Capital at 6% p.a X on Rs 2,00,000 12,000 Y on Rs 50,000 3,000––––15,000 Interest on X Loan at 12% p.a1,200Profit transferred to CapitalAccounts:- 3/4th to X 30,000 1/4 th to Y 10,000––––––40,000¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯92,200––––––¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯92,200––––––

There is no Partnership Deed between X and Y. Y feels that he has not been treated fairly. You are required to prepare a new Profit and Loss Appropriation Account according to the provisions of Partnership Act.

8291.

Calculate: (30 ÷ 15 - 10) × (-1)

Answer»

Calculate:

(30 ÷ 15 - 10) × (-1)


8292.

A 25 m long train moving on a straight level track passes a pole in 5 s, find the time taken by the train to cross a 50 m long bridge(in s).15

Answer» A 25 m long train moving on a straight level track passes a pole in 5 s, find the time taken by the train to cross a 50 m long bridge(in s).
  1. 15
8293.

Aayushi and Sharada went together to market. Sharada bought 5 kg rice for Rs 350, and Aayushi bought 3800 gm of rice for Rs 320. They both made some statements regarding the purchase of rice. Aayushi's statement: I bought cheaper rice than you. Sharada's statement: You bought costlier rice than me.

Answer»

Aayushi and Sharada went together to market. Sharada bought 5 kg rice for Rs 350,
and Aayushi bought 3800 gm of rice for Rs 320. They both made some statements regarding the purchase of rice.

Aayushi's statement: I bought cheaper rice than you.

Sharada's statement: You bought costlier rice than me.


8294.

An angle whose measure is less than 90 degrees is called a/an

Answer»

An angle whose measure is less than 90 degrees is called a/an


8295.

TriangleXYZis right angled at X where the three altitudes meet?

Answer» TriangleXYZis right angled at X where the three altitudes meet?
    8296.

    Question 2(g) Solve the following equations : 4+5(p-1)=34

    Answer» Question 2(g)
    Solve the following equations
    :
    4+5(p-1)=34
    8297.

    When a stone weighing 150 g is dropped in a beaker, the rise in water level is 150 ml. What would have been the rise in water level(in ml) had the stone weighed 250 g?250

    Answer» When a stone weighing 150 g is dropped in a beaker, the rise in water level is 150 ml. What would have been the rise in water level(in ml) had the stone weighed 250 g?
    1. 250
    8298.

    Question 86 (xiv) Using suitable identities, evaluate the following: 9.8×10.2

    Answer»

    Question 86 (xiv)

    Using suitable identities, evaluate the following:

    9.8×10.2

    8299.

    A farmer has a rectangular land of length 250 m and breadth 180 m Find the area of the land.

    Answer» A farmer has a rectangular land of length 250 m and breadth 180 m Find the area of the land.


    8300.

    If Sophie receives $99 per month as her salary from the company and she gets $1 as the bonus amount every month, then find the amount received by Sophie in 278 months?

    Answer»

    If Sophie receives $99 per month as her salary from the company and she gets $1 as the bonus amount every month, then find the amount received by Sophie in 278 months?