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1251.

The cost price of a printer is Rs3400,which is 15%below the marked price. If the article is sold at a discount of 10%,find(1)the m.p(ii)the s.p(iii)the profit,and the profit percent

Answer»

The cost price of a printer is Rs3400,which is 15%below the marked price. If the article is sold at a discount of 10%,find(1)the m.p(ii)the s.p(iii)the profit,and the profit percent

1252.

If the figure "ABCD" is a parallelogram. Which among the following is/are true?

Answer»

If the figure "ABCD" is a parallelogram. Which among the following is/are true?





1253.

In a right triangle ABC, B =90o. If AC= 13 cm, BC = 5 cm, find AB.

Answer»

In a right triangle ABC, B =90o.
If AC= 13 cm, BC = 5 cm, find AB.

1254.

Question 168The left column of the chart lists is the length of input pieces of ribbon. Stretching machines are listed across the top.The other entries are the outputs for sending the input ribbon form that row through the machine from that column. Copy and complete the chart.

Answer»

Question 168



The left column of the chart lists is the length of input pieces of ribbon. Stretching machines are listed across the top.

The other entries are the outputs for sending the input ribbon form that row through the machine from that column. Copy and complete the chart.



1255.

The digit in the tens place of a two digit number is 3 more than the digit in the units place. Let the digit at units place be b, then the number is

Answer» The digit in the tens place of a two digit number is 3 more than the digit in the units place. Let the digit at units place be b, then the number is
1256.

Question 5In the given question, out of four options, only one is correct. Write the correct answer.The sum of all the numbers formed by the digits x, y and z of the number xyz is divisible by(a) 11(b) 33(c) 37(d) 74

Answer» Question 5



In the given question, out of four options, only one is correct. Write the correct answer.




The sum of all the numbers formed by the digits x, y and z of the number xyz is divisible by

(a) 11

(b) 33

(c) 37

(d) 74
1257.

What is the equation of a line that passes through (0,1) and is perpendicular to the line 2x+y=1?

Answer»

What is the equation of a line that passes through (0,1) and is perpendicular to the line 2x+y=1?

1258.

Factorise x^2+6\sqrt2+10

Answer» Factorise x^2+6\sqrt2+10
1259.

Is only square root of -1 called iota or are there any other numbers

Answer» Is only square root of -1 called iota or are there any other numbers
1260.

Question 72In the following question, state whether the statement is True (T) or False (F):Common factor of 12a2b2+4ab2−32 is 4.

Answer»

Question 72



In the following question, state whether the statement is True (T) or False (F):



Common factor of 12a2b2+4ab232 is 4.



1261.

In figure , ABCD and AEFG are two parallelograms. If ∠C=55∘, then determine ∠F.

Answer» In figure , ABCD and AEFG are two parallelograms. If C=55, then determine F.


1262.

If b is very small as compared to the value of a, so that the cube and other higher powers of ba can be neglected in the identity 1a−b+1a−2b+1a−3b+⋯+1a−nb=αn+βn2+γn3, then the value of γ is

Answer»

If b is very small as compared to the value of a, so that the cube and other higher powers of ba can be neglected in the identity 1ab+1a2b+1a3b++1anb=αn+βn2+γn3, then the value of γ is

1263.

Question 97(iii)The following pie chart depicts the expenditure of a state government under different heads :What fraction of the total expenditure is spents on both roads and public welfare together ?

Answer»

Question 97(iii)



The following pie chart depicts the expenditure of a state government under different heads :



What fraction of the total expenditure is spents on both roads and public welfare together ?



1264.

The area of a square tile is 324 square units. What is the length of each side of the tile?

Answer»

The area of a square tile is 324 square units. What is the length of each side of the tile?



1265.

The bisectors of the angle of a parallelogram enclose a(a) parallelogram(b) rhombus(c) rectangle(d) square

Answer» The bisectors of the angle of a parallelogram enclose a



(a) parallelogram



(b) rhombus



(c) rectangle



(d) square
1266.

How can we find the perfect cube and what is a perfect cube

Answer»

How can we find the perfect cube and what is a perfect cube

1267.

Rakhi's mother is four times as old as Rakhi. After 5 years, her mother will be three times as old as she will be then. Find their present ages.

Answer»

Rakhi's mother is four times as old as Rakhi. After 5 years, her mother will be three times as old as she will be then. Find their present ages.

1268.

The largest number which always divides the sum of any pair of consecutive odd numbers is:

Answer»

The largest number which always divides the sum of any pair of consecutive odd numbers is:

1269.

By using the formula, find the amount and compound interest on: The bacteria in a culture grows by 10% in the first hour, decreases by 10% in the second hour and again increases by 10% in the third hour. Find the bacteria at the end of 3 hours if the count was initially 20000.

Answer»

By using the formula, find the amount and compound interest on:

The bacteria in a culture grows by 10% in the first hour, decreases by 10% in the second hour and again increases by 10% in the third hour. Find the bacteria at the end of 3 hours if the count was initially 20000.

1270.

If in two triangle ABC and DEF, ∠A = ∠E, ∠B = ∠F, then which of the following is not true?(a) BCDF=ACDE(b) ABDE=BCDF(c) ABEF=ACDE(d) BCDF=ABEF

Answer» If in two triangle ABC and DEF, ∠A = ∠E, ∠B = ∠F, then which of the following is not true?



(a) BCDF=ACDE

(b) ABDE=BCDF

(c) ABEF=ACDE

(d) BCDF=ABEF
1271.

19. The sum of square of two digits of a positive integral number is 65 and number is 9 times sum of its digits .find the number

Answer» 19. The sum of square of two digits of a positive integral number is 65 and number is 9 times sum of its digits .find the number
1272.

Construct a triangle ABC in which BC = 4.5 cm, ∠B = 35° and difference between the other two sides is 2.8 cm. (Optional)

Answer»

Construct a triangle ABC in which BC = 4.5 cm, B = 35° and difference between the other two sides is 2.8 cm. (Optional)

1273.

Sum of all interior angles of a nonagon is

Answer»

Sum of all interior angles of a nonagon is


1274.

Question 48(i)Complete the given tables and draw a graph for each.x0123y=3x+114−−

Answer» Question 48(i)

Complete the given tables and draw a graph for each.

x0123y=3x+114




1275.

Question 66In the following question, state whether the statement is True (T) or False (F):The factors of a2−2ab+b2 are (a+b) and (a+b).

Answer»

Question 66



In the following question, state whether the statement is True (T) or False (F):



The factors of a22ab+b2 are (a+b) and (a+b).



1276.

A graph which displays data that changes continuously over period of time is __ graph.

Answer»

A graph which displays data that changes continuously over period of time is __ graph.

1277.

Fill in the blanks to make the statement true:x5+30=18 has the solution as _______.

Answer»

Fill in the blanks to make the statement true:



x5+30=18 has the solution as _______.



1278.

You all were tired after playing and the school got over. Your sister, Emma and you were walking home when she spotted an ice cream truck and that she wanted to have one. She asked for a cornetto. While having the ice cream she got a doubt about its shape. You recollected of whatever you learnt in your Math and Art class and told he the shape as _______.

Answer»

You all were tired after playing and the school got over. Your sister, Emma and you were walking home when she spotted an ice cream truck and that she wanted to have one. She asked for a cornetto. While having the ice cream she got a doubt about its shape. You recollected of whatever you learnt in your Math and Art class and told he the shape as _______.


1279.

Two angles of a quadrilateral are 68o and 76o. If the other two angles are in the ratio 5 : 7; find the measure of each of them.

Answer»

Two angles of a quadrilateral are 68o and 76o. If the other two angles are in the ratio 5 : 7; find the measure of each of them.

1280.

Anmol was cutting a piece of paper with a pair of scissors. He observed that as he increases the angle of the scissors, then the vertically opposite angle ___.

Answer»

Anmol was cutting a piece of paper with a pair of scissors. He observed that as he increases the angle of the scissors, then the vertically opposite angle ___.

1281.

Find the value of 8!(8−3)!×3!?

Answer»

Find the value of 8!(83)!×3!?

1282.

Which of the following expressions are polynomials?(i) x2+4(ii) 4−x−1(iii) 2x2−2x

Answer»

Which of the following expressions are polynomials?

(i) x2+4

(ii) 4x1

(iii) 2x22x


1283.

Construct a triangle whose perimeter is 10.4 cm and the base angles are 45° and 120°.

Answer» Construct a triangle whose perimeter is 10.4 cm and the base angles are 45° and 120°.
1284.

The amount of space occupied by a 3D shape is called its:

Answer»

The amount of space occupied by a 3D shape is called its:



1285.

Simplify:(i) ;(ii);(iii);(iv)(v);(vi).

Answer»

Simplify:



(i) ;



(ii);



(iii);



(iv)



(v);



(vi).

1286.

(6ab−b2+12ac−2bc) divided by (6a−b) gives .

Answer» (6abb2+12ac2bc) divided by (6ab) gives .
1287.

What is the least positive integer n such that is also an integer?

Answer»

What is the least positive integer n such that is also an integer?

1288.

Evaluate the product: (x+4)(x−4)

Answer»

Evaluate the product: (x+4)(x4)

1289.

Factorise (2x−y)2−14x+7y−18

Answer» Factorise (2xy)214x+7y18
1290.

Ipsa bought a car which covers 363 km in 24.2 liters of petrol. One day, she has to go to airport but in her car there was only 7 liters of petrol, how far can she go?

Answer»

Ipsa bought a car which covers 363 km in 24.2 liters of petrol. One day, she has to go to airport but in her car there was only 7 liters of petrol, how far can she go?



1291.

Construct a parallelogram, ABCD with side BC = 4.5 cm, diagonal AC = 5.6 cm and diagonal BD = 5.0 cm.

Answer» Construct a parallelogram, ABCD with side BC = 4.5 cm, diagonal AC = 5.6 cm and diagonal BD = 5.0 cm.
1292.

Number of students who voted for chocolate chip = 6.5 x 2 = 13 Number of students who voted for vanilla = 3.5 x 2 = 7 Required number of students = 13 - 7 = 6

Answer»

Number of students who voted for chocolate chip = 6.5 x 2 = 13

Number of students who voted for vanilla = 3.5 x 2 = 7

Required number of students = 13 - 7 = 6


1293.

A is a number that equals the product of another number multiplied by itself.

Answer» A is a number that equals the product of another number multiplied by itself.
1294.

When a die was rolled 60 times, the following was observed.Outcome 123456Frequency 910121379(i) Which number had an experimental probability that matched the theoretical probability?(ii) How many numbers had an experimental probability that was less than that which would have been predicted by theoretical probability?

Answer»

When a die was rolled 60 times, the following was observed.



Outcome 123456Frequency 910121379



(i) Which number had an experimental probability that matched the theoretical probability?



(ii) How many numbers had an experimental probability that was less than that which would have been predicted by theoretical probability?



1295.

Find the product of the following binomials : (i) (43x2+3)(43x2+3)

Answer» Find the product of the following binomials :



(i) (43x2+3)(43x2+3)
1296.

What fraction of an hour is 40 minutes?

Answer»

What fraction of an hour is 40 minutes?

1297.

17. Construct a rhombus ABCD, when Diagonal AC =6.0 cm and height =3.5cm

Answer» 17. Construct a rhombus ABCD, when Diagonal AC =6.0 cm and height =3.5cm
1298.

How many possible nets of a cube can be drawn?11

Answer» How many possible nets of a cube can be drawn?
  1. 11
1299.

If 24 kg of rice costs Rs. 400, then how many Kgs of rice can be bought for Rs. 100

Answer»

If 24 kg of rice costs Rs. 400, then how many Kgs of rice can be bought for Rs. 100



1300.

The side of a rhombus is 18cm and one of its diagonal is 11 cm. T?he area of the rhombus is

Answer» The side of a rhombus is 18cm and one of its diagonal is 11 cm. T?he area of the rhombus is