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401.

Question 53(v)The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.What are the marks scored by her in English in Test II?

Answer» Question 53(v)

The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.







What are the marks scored by her in English in Test II?


402.

If 20a3 is a 4-digit number and a multiple of 3, then sum of the possible values of a is

Answer» If 20a3 is a 4-digit number and a multiple of 3, then sum of the possible values of a is
403.

Ajeeta starts off from home at 7 a.m. with her father on a scooter that goes at a uniform speed of 30 km/hr. Her father drops her at her school after half an hour. She stays in the school till 1.30 p.m. and takes an autorickshaw to return home. The autorickshaw has a uniform speed of 10 km/hr. Draw the line graph for the given situation and also determine the distance of Ajeets's school from her home.

Answer» Ajeeta starts off from home at 7 a.m. with her father on a scooter that goes at a uniform speed of 30 km/hr. Her father drops her at her school after half an hour. She stays in the school till 1.30 p.m. and takes an autorickshaw to return home. The autorickshaw has a uniform speed of 10 km/hr. Draw the line graph for the given situation and also determine the distance of Ajeets's school from her home.
404.

(x-a)³+(x-b)³+(x-c)³-3(x-a)(x-b)(x-c)

Answer»

(x-a)³+(x-b)³+(x-c)³-3(x-a)(x-b)(x-c)

405.

59. Apparent dips when dip circle is placed in two mutually perpendicular directions are 30 and 45 degree.What is actual dip at that place?

Answer» 59. Apparent dips when dip circle is placed in two mutually perpendicular directions are 30 and 45 degree.What is actual dip at that place?
406.

ABCD is a rhombus by joining the mid points of the sides of a quadrilateral PQRS. If the area of PQRS is 96 cm², then the area of ABCD is1. 12 cm²2. 24 cm²3. 48 cm²4. 96 cm²

Answer» ABCD is a rhombus by joining the mid points of the sides of a quadrilateral PQRS. If the area of PQRS is 96 cm², then the area of ABCD is
1. 12 cm²
2. 24 cm²
3. 48 cm²
4. 96 cm²
407.

The pictograph given below shows how students fared in last week's Math test.Math test scores:How many students scored 95 or more in the test?

Answer»

The pictograph given below shows how students fared in last week's Math test.



Math test scores:



How many students scored 95 or more in the test?



408.

Queston 4(ii)The following graph shows the temperature forecast and the actual temperature for each day of a week.What was the maximum forecast temperature during the week?

Answer» Queston 4(ii)

The following graph shows the temperature forecast and the actual temperature for each day of a week.



What was the maximum forecast temperature during the week?


409.

Find the value of the angle, ∠XAB, in the rhombus ABCD.

Answer»

Find the value of the angle, ∠XAB, in the rhombus ABCD.


410.

(ab+c) +( ba+c ) + (ca+b)= 1 Then (a cube + b cube + c cube) abc =?

Answer» (ab+c) +( ba+c ) + (ca+b)= 1 Then (a cube + b cube + c cube) abc =?
411.

Question 2 Is it possible to have a polyhedron with any given number of faces?

Answer» Question 2
Is it possible to have a polyhedron with any given number of faces?
412.

Write the following numbers using base 10 and exponents:

Answer»

Write the following numbers using base 10 and exponents:



413.

A shopkeeper has an unknown weight in his shop. To find out the weight, he first weighs 1 kg of rice, and then weighs 1 kg of rice and the unknown weight together. The combined weight of the rice and the unknown weight is 1.5 kg. Find the unknown weight (in grams).

Answer»

A shopkeeper has an unknown weight in his shop. To find out the weight, he first weighs 1 kg of rice, and then weighs 1 kg of rice and the unknown weight together. The combined weight of the rice and the unknown weight is 1.5 kg. Find the unknown weight (in grams).


414.

Find angle ∠C in the given figure, if ABCD is parallelogram.

Answer»

Find angle C in the given figure, if ABCD is parallelogram.


415.

A piece of cloth of length 'x' is divided into three equal parts. Find the length of each part of the cloth.

Answer»

A piece of cloth of length 'x' is divided into three equal parts. Find the length of each part of the cloth.


416.

Equilateral triangles DBC, ECA and FAB are constructed externally on the sides BC, CA and AB of triangle ABC. Prove that AD, BE and CF are also concurrent.

Answer» Equilateral triangles DBC, ECA and FAB are constructed externally on the sides BC, CA and AB of triangle ABC. Prove that AD, BE and CF are also concurrent.
417.

Simplify: (0.8m + 1.1n) (0.8m - 1.1n)

Answer» Simplify: (0.8m + 1.1n) (0.8m - 1.1n)
418.

If 50 pencils can be bought for ₹ 20, how many can be bought for ₹ 32?

Answer»

If 50 pencils can be bought for 20, how many can be bought for 32?


419.

The cost of the product in rupees after adding 10% sales tax on Rs 400 is ___ .

Answer»

The cost of the product in rupees after adding 10% sales tax on Rs 400 is ___ .

420.

The greatest 6−digit number which is a perfect square is.

Answer» The greatest 6digit number which is a perfect square is

.
421.

Mark the correct alternative in each of the following:1÷13=(a) 13 (b) 3 (c) 113 (d) 313

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



1÷13=



(a) 13 (b) 3 (c) 113 (d) 313
422.

Which of the following pair of triangles are congruent by AAS postulate?

Answer»

Which of the following pair of triangles are congruent by AAS postulate?


423.

Write the following set in roster form.A = {x:x=2r+3, where r ϵ I and −2<r≤3}

Answer» Write the following set in roster form.

A = {x:x=2r+3, where r ϵ I and 2<r3}
424.

The number of CD's sold v/s the total cost of those many CD's is given in the above graph. The cost of one CD is

Answer»



The number of CD's sold v/s the total cost of those many CD's is given in the above graph. The cost of one CD is
425.

Question 91 (x)Factorise the following:x2+4x−77

Answer» Question 91 (x)



Factorise the following:



x2+4x77


426.

The value of x for which (712)−4×(712)3x=(712)5 is (a)-1 (b) 1 (c) 2 (d) 3

Answer»

The value of x for which (712)4×(712)3x=(712)5 is

(a)-1

(b) 1

(c) 2

(d) 3

427.

Can a quadrilateral have sides and diagonals of different lengths?

Answer»

Can a quadrilateral have sides and diagonals of different lengths?

428.

In the figure given alongside, AB || CD, EF || BC, ∠BAC = 60º and ∠DHF = 50º. Find ∠GCH and ∠AGH.

Answer» In the figure given alongside, AB || CD, EF || BC, ∠BAC = 60º and ∠DHF = 50º. Find ∠GCH and ∠AGH.

429.

if(x+1/x)^2=3, then find the value of (x^206)+(x^200)+(x^90)+(x^84)+(x^18)+(x^12)+(x^6)+1.

Answer»

if(x+1/x)^2=3, then find the value of (x^206)+(x^200)+(x^90)+(x^84)+(x^18)+(x^12)+(x^6)+1.

430.

Prove that the diagonals of an isosceles trapezium are equal.

Answer»

Prove that the diagonals of an isosceles trapezium are equal.



431.

What is wavy curve method? How to apply it? Is there any alternative method for solving the inequalities?

Answer» What is wavy curve method? How to apply it? Is there any alternative method for solving the inequalities?
432.

A person buys 25 pens worth Rs 250, each of equal cost. He wants to keep 5 pens for himself and sell the remaining to recover his money. What should be the price of each pen?

Answer»

A person buys 25 pens worth Rs 250, each of equal cost. He wants to keep 5 pens for himself and sell the remaining to recover his money. What should be the price of each pen?

433.

Draw the perpendicular bisector of a line segment which is 8 cm long.

Answer» Draw the perpendicular bisector of a line segment which is 8 cm long.
434.

P, Q and R are in partnership sharing profits and losses in the ratio of 3:2:1. Their capitals on 1st April, 2014 were P Rs 60,000; Q Rs 30,000; R Rs 15,000. Partners have decided that their capital will carry interest 5% p.a. Q further introduces Rs 20,000 on 1st July,2014 and withdrew Rs 5,000 on 1st December, 2014, whereas R introduces Rs 10,000 on 15th May, 2014; Rs 7,000 on 30th September, 2014 and withdrew Rs 15,000 on 1st February, 2015. Work out the interest on capital credited to each capital credited to each partner.

Answer»

P, Q and R are in partnership sharing profits and losses in the ratio of 3:2:1. Their capitals on 1st April, 2014 were P Rs 60,000; Q Rs 30,000; R Rs 15,000. Partners have decided that their capital will carry interest 5% p.a. Q further introduces Rs 20,000 on 1st July,2014 and withdrew Rs 5,000 on 1st December, 2014, whereas R introduces Rs 10,000 on 15th May, 2014; Rs 7,000 on 30th September, 2014 and withdrew Rs 15,000 on 1st February, 2015. Work out the interest on capital credited to each capital credited to each partner.

435.

Find the square root of the following decimal numbers:51.84

Answer» Find the square root of the following decimal numbers:

51.84
436.

John decided to order one pizza. He ate 23 of the pizza and he gave 16 of it to his sister. Find how much pizza is left with John.

Answer»

John decided to order one pizza. He ate 23 of the pizza and he gave 16 of it to his sister. Find how much pizza is left with John.


437.

Construct an equilateral triangle each of whose altitudes measures 5.4 cm. Measure each of its sides.

Answer» Construct an equilateral triangle each of whose altitudes measures 5.4 cm. Measure each of its sides.
438.

The distance between the points (x1,y1) and (x2,y2) is

Answer»

The distance between the points (x1,y1) and (x2,y2) is


439.

What is the fraction of the unshaded region?

Answer»

What is the fraction of the unshaded region?




440.

What is a domino?

Answer»

What is a domino?

441.

By selling a sofa-set for Rs. 2,500; the shopkeeper loses 20%. Find his loss percent or profit percent; if he sells the same sofa-set for Rs. 3,150.

Answer»

By selling a sofa-set for Rs. 2,500; the shopkeeper loses 20%. Find his loss percent or profit percent; if he sells the same sofa-set for Rs. 3,150.

442.

Question 4(h) Express the number appearing in the following statements in standard form: (h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.

Answer» Question 4(h)
Express the number appearing in the following statements in standard form:

(h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.
443.

Find the number of students whose height is greater than or equal to 135 cm but less than 150 cm.

Answer»

Find the number of students whose height is greater than or equal to 135 cm but less than 150 cm.



444.

The cost of 1 dozen eggs is Rs 60. What is the cost of 1 egg?

Answer» The cost of 1 dozen eggs is Rs 60. What is the cost of 1 egg?
445.

Find the last 3 digits of 7^{201

Answer» Find the last 3 digits of 7^{201
446.

Question 6Which of the following figures satisfy the following properties?-All sides are congruent.-All angles are right angles.-Opposite sides are parallel.

Answer» Question 6

Which of the following figures satisfy the following properties?

-All sides are congruent.

-All angles are right angles.

-Opposite sides are parallel.










447.

Find the number of solutions which are common to both y=8x+3 &amp; 5y−x=1, if any.

Answer» Find the number of solutions which are common to both y=8x+3 & 5yx=1, if any.




448.

8. [|x-3|]+[|x-12|]>=15

Answer» 8. [|x-3|]+[|x-12|]>=15
449.

Choose the correct ordered pair(s) for the expression y=6x−2.

Answer»

Choose the correct ordered pair(s) for the expression y=6x2.

450.

Question 112(iii) Sonia picks up a card from the given cards Find the probability of getting a G card ?

Answer»

Question 112(iii)

Sonia picks up a card from the given cards

Find the probability of getting a G card ?