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3151.

Number of triangles in the given figure is

Answer»

Number of triangles in the given figure is




3152.

Find the amount which Ram will get on ₹4,096, if he gave it for 18 months at 1212% per annum, interest being compounded half yearly.

Answer» Find the amount which Ram will get on ₹4,096, if he gave it for 18 months at 1212% per annum, interest being compounded half yearly.
3153.

Three equal circles of unit radius touch each other . Then , the area of the circle circumscribing the three circles is

Answer» Three equal circles of unit radius touch each other . Then , the area of the circle circumscribing the three circles is
3154.

In the given figure, if l || m, then x =(a) 105°(b) 65°(c) 40°(d) 25°

Answer» In the given figure, if l || m, then x =



(a) 105°



(b) 65°



(c) 40°



(d) 25°



3155.

निम्नलिखित प्रश्न का उत्तर (50-60 शब्दों में) लिखिए −रामन् के प्रारंभिक शोधकार्य को आधुनिक हठयोग क्यों कहा गया है?

Answer»

निम्नलिखित प्रश्न का उत्तर (50-60 शब्दों में) लिखिए −

रामन् के प्रारंभिक शोधकार्य को आधुनिक हठयोग क्यों कहा गया है?

3156.

Find the probability of getting the difference of two numbers obtained as a prime number, if a pair of dice are thrown simultaneously.

Answer»

Find the probability of getting the difference of two numbers obtained as a prime number, if a pair of dice are thrown simultaneously.

3157.

(a) Identify terms which contain x and give the coefficient of x.(i) y2x + y (ii) 13y2− 8yx (iii) x + y + 2(iv) 5 + z + zx (v) 1 + x+ xy (vi) 12xy2 + 25(vii) 7x + xy2(b) Identify terms which contain y2 and give the coefficient of y2.(i) 8 − xy2 (ii) 5y2 + 7x (iii) 2x2y −15xy2 + 7y2

Answer»

(a) Identify terms which contain x and give the coefficient of x.



(i) y2x + y (ii) 13y2− 8yx (iii) x + y + 2



(iv) 5 + z + zx (v) 1 + x+ xy (vi) 12xy2 + 25



(vii) 7x + xy2



(b) Identify terms which contain y2 and give the coefficient of y2.



(i) 8 − xy2 (ii) 5y2 + 7x (iii) 2x2y −15xy2 + 7y2

3158.

Fill in the blanks with suitable answers: (1) The total number of numerals used in base 10 system is ……… (2) Total numerals used in base-2 system is …….. (3) The biggest numeral used is base 10 system is ……

Answer»

Fill in the blanks with suitable answers:



(1) The total number of numerals used in base 10 system is ………



(2) Total numerals used in base-2 system is ……..



(3) The biggest numeral used is base 10 system is ……

3159.

Question 1(c) Evaluate the following (- 36) ÷ (- 9)

Answer»

Question 1(c)
Evaluate the following
(- 36) ÷ (- 9)

3160.

Question 81Fill in the blanks to make the statements true.If the diagonals of a quadrilateral bisect each other, it is a ___.

Answer» Question 81

Fill in the blanks to make the statements true.


If the diagonals of a quadrilateral bisect each other, it is a ___.
3161.

If a = 2 and b = 3, find the value of (ab)a.

Answer»

If a = 2 and b = 3, find the value of (ab)a.


3162.

The mean of first n odd natural numbers is _________.

Answer» The mean of first n odd natural numbers is _________.
3163.

In the given, line segment DF intersect the side AC of a triangle ABC at the point E such that the midpoint of CA and angle AFE= angle AFE, Prove that BD/DC=BF/CE.

Answer» In the given, line segment DF intersect the side AC of a triangle ABC at the point E such that the midpoint of CA and angle AFE= angle AFE, Prove that BD/DC=BF/CE.
3164.

Question 432500 is greater than 500 by ___ %

Answer»

Question 43



2500 is greater than 500 by ___ %



3165.

the expression f(x)=x^3+ax^2+bx+c if f(x)=f(2)=0 and f(4)=f(0), then the values of a,b and c are

Answer» the expression f(x)=x^3+ax^2+bx+c if f(x)=f(2)=0 and f(4)=f(0), then the values of a,b and c are
3166.

Tap on the bubbles which add up to 9.

Answer»

Tap on the bubbles which add up to 9.

3167.

Question 4 (i) Given three side of a triangle can be the sides of a right angled triangle or not? 2.5 cm, 6.5 cm, 6cm In case of right angled triangle, identify the right angle.

Answer»

Question 4 (i)
Given three side of a triangle can be the sides of a right angled triangle or not?
2.5 cm, 6.5 cm, 6cm
In case of right angled triangle, identify the right angle.

3168.

Question 109 (i)At a toy shop price of all the toys is reduced to 66 % of the original price.What is the sale price of a toy that originally costs Rs. 90?

Answer»

Question 109 (i)



At a toy shop price of all the toys is reduced to 66 % of the original price.What is the sale price of a toy that originally costs Rs. 90?



3169.

Two circles touch each other internally. The sum of their areas is 130π cm^2 and the distancebetween their centres is 8 cm. Find the radii of the two circles.

Answer» Two circles touch each other internally. The sum of their areas is 130π cm^2 and the distancebetween their centres is 8 cm. Find the radii of the two circles.
3170.

4. Find common solution (x-1)/(2x-4)≤0 and (x-3)/(x-12)≥0 and (x-5)/(x-14)

Answer» 4. Find common solution (x-1)/(2x-4)≤0 and (x-3)/(x-12)≥0 and (x-5)/(x-14)<0 and (x-3)(x-4)(x-5)≥0
3171.

Let's a thief is running on a train with 12 km per hour. Police car is made with 80 kilometre per hour. If speed of the train is 60 km per hour. What is the speed of the thief with reference to police car?

Answer»

Let's a thief is running on a train with 12 km per hour. Police car is made with 80 kilometre per hour. If speed of the train is 60 km per hour. What is the speed of the thief with reference to police car?

3172.

The probabilities of a student getting grade A, B, C and D are 0.2, 0.3, 0.15 and 0.35 respectively. Then the probability that a student gets at least C grade is:

Answer»

The probabilities of a student getting grade A, B, C and D are 0.2, 0.3, 0.15 and 0.35 respectively. Then the probability that a student gets at least C grade is:


3173.

Subtraction of pq+6p2−2q2 from 9p2+2pq−3q2 will give the expression .

Answer»

Subtraction of pq+6p22q2 from 9p2+2pq3q2 will give the expression .

3174.

Construct an equilateral triangle of sides 4 cm.

Answer» Construct an equilateral triangle of sides 4 cm.
3175.

The denominator of 13200 can be expressed in the form of 2m×5n, where m and n are whole numbers. Find the value of m+n.5

Answer» The denominator of 13200 can be expressed in the form of 2m×5n, where m and n are whole numbers. Find the value of m+n.
  1. 5
3176.

How many variables are present in the given expression 5x+6 ?

Answer»

How many variables are present in the given expression 5x+6 ?


3177.

Question 2(e) Check whether the value given in the brackets is a solution to the given equation or not: 4p-3=13(p= -4)

Answer» Question 2(e)
Check whether the value given in the brackets is a solution to the given equation or not:
4p-3=13(p= -4)
3178.

Rina’s brother found a match box and he counted the number of matchsticks in it. He found out that there were 42 matchsticks. He now went to Rina and asked her the number of 8’s she can make using the available matchsticks.What could be Rina's answer? ___

Answer»

Rina’s brother found a match box and he counted the number of matchsticks in it. He found out that there were 42 matchsticks. He now went to Rina and asked her the number of 8’s she can make using the available matchsticks.What could be Rina's answer?


___
3179.

In triangles ABC and DEF, addition to the markings, AF = CD and AB || DE. Which of the following methods can NOT be used to prove the triangles congruent?

Answer»

In triangles ABC and DEF, addition to the markings, AF = CD and AB || DE. Which of the following methods can NOT be used to prove the triangles congruent?


3180.

ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects both the angles ABC and ADC

Answer» ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects both the angles ABC and ADC




3181.

2x+3=7, find the value of X.

Answer» 2x+3=7, find the value of X.
3182.

Two quantities as A=1.0+0.2m, B=2.0+0.2m. We should report correct value for \sqrt{AB

Answer» Two quantities as A=1.0+0.2m, B=2.0+0.2m. We should report correct value for \sqrt{AB
3183.

Question 33Which of the following is not the reciprocal of (23)4 ?(a) (32)4(b) (32)−4(c) (23)−4(d) 3424

Answer»

Question 33



Which of the following is not the reciprocal of (23)4 ?



(a) (32)4



(b) (32)4



(c) (23)4



(d) 3424



3184.

Complete the missing algebraic expression. Add the adjacent cells to get the value in row above.

Answer»

Complete the missing algebraic expression. Add the adjacent cells to get the value in row above.





3185.

A car's number plate was to be painted equally in blue and red as shown in the figure. What will be the total cost of painting the car's number plate if the red paint costs Rs 2 per cm2 and the blue paint costs Re 1 per cm2?

Answer»

A car's number plate was to be painted equally in blue and red as shown in the figure. What will be the total cost of painting the car's number plate if the red paint costs Rs 2 per cm2 and the blue paint costs Re 1 per cm2?


3186.

Simplify and express in exponential form:43 x 4−2 x 162

Answer» Simplify and express in exponential form:

43 x 42 x 162
3187.

Find the value of x.−x6+16=2

Answer»

Find the value of x.

x6+16=2


3188.

If ΔABCand ΔPQR are to becongruent, name one additional pair of corresponding parts. Whatcriterion did you use?

Answer»

If ΔABC
and ΔPQR are to be
congruent, name one additional pair of corresponding parts. What
criterion did you use?


3189.

Identifythe operations (addition, subtraction, division, multiplication) informing the following expressions and tell how the expressions havebeen formed.(a) z + 1, z − 1, y + 17, y −17 (b) (c) 2y + 17, 2y − 17 (d) 7m, − 7m+ 3, − 7m − 3

Answer»

Identify
the operations (addition, subtraction, division, multiplication) in
forming the following expressions and tell how the expressions have
been formed.




(a) z + 1, z − 1, y + 17, y
17 (b)



(c) 2y + 17, 2y − 17 (d) 7m, − 7m
+ 3, − 7m − 3

3190.

If a quadrilateral has two or more lines of symmetry, it will have rotational symmetry of order more than ___ .

Answer»

If a quadrilateral has two or more lines of symmetry, it will have rotational symmetry of order more than ___ .

3191.

One half of the difference between 9 and 4 is added to three times 8 multiplied with half. Which of the following gives the numerical expression for the above statement?

Answer»

One half of the difference between 9 and 4 is added to three times 8 multiplied with half. Which of the following gives the numerical expression for the above statement?



3192.

The following line graph shows the number of burgers sold each week during a certain period for a restaurant.How many fewer burgers were sold in week 4 than in week 2?

Answer» The following line graph shows the number of burgers sold each week during a certain period for a restaurant.



How many fewer burgers were sold in week 4 than in week 2?
3193.

What is the intersection point of the following lines drawn on the coordinate plane?

Answer»

What is the intersection point of the following lines drawn on the coordinate plane?


3194.

Show that one and only one out of n n+2 n+3 is divisible by 3 where n is any positive integer

Answer» Show that one and only one out of n n+2 n+3 is divisible by 3 where n is any positive integer
3195.

4,6,18,90,486,3645,32805 find the wrong term...

Answer» 4,6,18,90,486,3645,32805
find the wrong term...
3196.

The reciprocal ratio of 112:634 is

Answer»

The reciprocal ratio of 112:634 is

3197.

A shopkeeper buys 80 similar articles for ₹2400 and sells them at a profit of 16%. Find the selling price of each article.

Answer»

A shopkeeper buys 80 similar articles for 2400 and sells them at a profit of 16%. Find the selling price of each article.



3198.

particle moves from one point to another. If the first half of its journey is travel with speed 30 km per hour with what speed it moves the remaining journey such that total average speed of journey 90 kilometre per hour

Answer» particle moves from one point to another. If the first half of its journey is travel with speed 30 km per hour with what speed it moves the remaining journey such that total average speed of journey 90 kilometre per hour
3199.

Find the compound interest on rupees 31250 it at 8% per annum for 2 ¾ years compounded annually.

Answer» Find the compound interest on rupees 31250 it at 8% per annum for 2 ¾ years compounded annually.
3200.

What is the value of 0.25 % of 80?

Answer»

What is the value of 0.25 % of 80?