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451.

2.3t 3.4 t4.5 tterms nn +60t11)uplo n3byinductionMa thematicalProve

Answer» 2.3t 3.4 t4.5 tterms nn +60t11)uplo n3byinductionMa thematicalProve
452.

In the given figure, O is the centre of the circle and arc ABC subtends an angle of 130° at the centre. If AB is extended to P, find ∠PBC.

Answer» In the given figure, O is the centre of the circle and arc ABC subtends an angle of 130° at the centre. If AB is extended to P, find ∠PBC.

453.

A survey was made to find the type of music that a certain group of young people liked in a city.Adjoining pie chart shows the findings of this survey.From this pie chart, answer the following:Which type of music is liked by the maximum number of people?

Answer» A survey was made to find the type of music that a certain group of young people liked in a city.



Adjoining pie chart shows the findings of this survey.

From this pie chart, answer the following:



Which type of music is liked by the maximum number of people?


454.

Question 31State whether the given statements are true (T) or false (F).A ratio will always be more than 1.

Answer»

Question 31



State whether the given statements are true (T) or false (F).



A ratio will always be more than 1.





455.

If a regular polygon has 55 sides, then the sum of its exterior angles is 360∘.

Answer» If a regular polygon has 55 sides, then the sum of its exterior angles is 360.
456.

Amenda bought 32 bottles of cold drink. Each bottle has a volume of 10 ounces. What is the total volume of cold drink she bought (in pints)?

Answer»

Amenda bought 32 bottles of cold drink. Each bottle has a volume of 10 ounces. What is the total volume of cold drink she bought (in pints)?

457.

Question 2 (v)Write True or False: Give reasons for your answers.(v) Sector is the region between the chord and its corresponding arc.

Answer» Question 2 (v)

Write True or False: Give reasons for your answers.



(v) Sector is the region between the chord and its corresponding arc.
458.

The length and breadth of a rectangle are (5.7 ± 0.1) cm and (3.4 ± 0.2) cm. Calculate area of the rectangle with error limits.

Answer»

The length and breadth of a rectangle are (5.7 ± 0.1) cm and (3.4 ± 0.2) cm. Calculate area of the rectangle with error limits.


459.

A Mobile number consists of ten digits. The first four digits of the numbers are 9,9,8 and 7 . The last three digits are 3,5 and 5. The remaining digits are distinct and make the mobile number, the greatest possible number. What are these digits?

Answer»

A Mobile number consists of ten digits. The first four digits of the numbers are 9,9,8 and 7 . The last three digits are 3,5 and 5. The remaining digits are distinct and make the mobile number, the greatest possible number. What are these digits?

460.

Question 83Fill in the blanks to make the statements true.​​​​​​​​​​​​​​A nonagon has ___ sides.

Answer» Question 83

Fill in the blanks to make the statements true.​​​​​​​


​​​​​​​A nonagon has ___ sides.
461.

How to identify the triangle would be smaller or greater before construction

Answer» How to identify the triangle would be smaller or greater before construction
462.

Define Integer?

Answer» Define Integer?
463.

Jack bought 98 Kg sugar at the cost of $15 per Kg. How much amount did he pay to buy the sugar?

Answer»

Jack bought 98 Kg sugar at the cost of $15 per Kg. How much amount did he pay to buy the sugar?

464.

Question 37 In the given question, state whether the given statement is True or False. A three-digit number abc is divisible by 6, if c is an even number and a + b + c is a multiple of 3.

Answer» Question 37

In the given question, state whether the given statement is True or False.

A three-digit number abc is divisible by 6, if c is an even number and a + b + c is a multiple of 3.
465.

In a five-digits number, digit at ten's place is 3, digit at unit's place is one third of ten's place digit, digit at hundred's place is 0, digit at thousand's place is 4 times of the digit at unit's place and ten thousand's place digit is triple the digit at ten's place. Then the number is:

Answer»

In a five-digits number, digit at ten's place is 3, digit at unit's place is one third of ten's place digit, digit at hundred's place is 0, digit at thousand's place is 4 times of the digit at unit's place and ten thousand's place digit is triple the digit at ten's place. Then the number is:

466.

Find the mode for the following data. Class intervalFrequency0−101610−202020−303230−404840−503050−6014

Answer» Find the mode for the following data.



Class intervalFrequency01016102020203032304048405030506014
467.

The value of p on the number line below is equal to

Answer» The value of p on the number line below is equal to


468.

A rational number is such that when you multiply it by 5 upon 2 and add two upon three to the product you get _7\12 what is the number

Answer»

A rational number is such that when you multiply it by 5 upon 2 and add two upon three to the product you get _7\12 what is the number

469.

Quarter to 9 is ___.

Answer»

Quarter to 9 is ___.



470.

On selling a pen for ₹100, a shopkeeper gains ₹15. The cost price of the pen is(a) ₹115(b) ₹85(c) ₹70(d) ₹130

Answer» On selling a pen for ₹100, a shopkeeper gains ₹15. The cost price of the pen is



(a) ₹115

(b) ₹85

(c) ₹70

(d) ₹130
471.

Question 70Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:x times of 3 is added to the smallest natural number.

Answer»

Question 70



Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:



x times of 3 is added to the smallest natural number.



472.

20 g= ___ kg.

Answer» 20 g= ___ kg.
473.

A network company's internet plan offers 1000GB high speed data for $26.5. Find the cost of 1GB of data?

Answer»

A network company's internet plan offers 1000GB high speed data for $26.5. Find the cost of 1GB of data?

474.

Use the proper geometrical instruments of construct the following angles. Use the compass and the ruler to bisect them.(3) 80°

Answer» Use the proper geometrical instruments of construct the following angles. Use the compass and the ruler to bisect them.

(3) 80°
475.

In the given figure, z =___.

Answer»

In the given figure, z =___.


476.

Identify the solid that has the following views.

Answer»

Identify the solid that has the following views.


477.

In the following pair of numbers, state which whole number is on the left of the other number on the number line? Also write them with the appropriate sign (>,

Answer» In the following pair of numbers, state which whole number is on the left of the other number on the number line? Also write them with the appropriate sign (>, <) between them.

9830415, 10023001
478.

Suman purchased 5 kg 75 g of fruits and 3 kg 465 g of vegetables, and put them in a bag. If this bag with these contents weighs 9 kg, find the weight of the empty bag.

Answer» Suman purchased 5 kg 75 g of fruits and 3 kg 465 g of vegetables, and put them in a bag. If this bag with these contents weighs 9 kg, find the weight of the empty bag.
479.

72% of 25 students are good in mathematics. How many are not good in mathematics?

Answer» 72% of 25 students are good in mathematics. How many are not good in mathematics?


480.

Name two methods you can use to measure the lenth of a curved line. Draw labelled illustrations to show the steps.

Answer» Name two methods you can use to measure the lenth of a curved line. Draw labelled illustrations to show the steps.
481.

Determine the product of the greatest number of three digits and the smallest number of two digits.

Answer» Determine the product of the greatest number of three digits and the smallest number of two digits.
482.

A retailer buys an article for Rs 450 and sells it at a loss of 5%. Find the selling price of the article

Answer»

A retailer buys an article for Rs 450 and sells it at a loss of 5%. Find the selling price of the article


483.

102.If (z-1)/(z+1) is purely an imaginary number then find |z|.

Answer» 102.If (z-1)/(z+1) is purely an imaginary number then find |z|.
484.

Mark the correct alternative in each of the following:Which of the following is correct?(a) 59&gt;-3-8 (b) 59&lt;-3-8 (c) 2-3&lt;-87 (d) 4-3&gt;-87

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



Which of the following is correct?



(a) 59>-3-8 (b) 59<-3-8 (c) 2-3<-87 (d) 4-3>-87
485.

Joseph worked as a news reporter for 6 years. He interviewed 525 people each year. How many people did Joseph interview in total?

Answer» Joseph worked as a news reporter for 6 years. He interviewed 525 people each year. How many people did Joseph interview in total?
486.

How many degrees does a minute hand of a clock turn through in one hour?

Answer»

How many degrees does a minute hand of a clock turn through in one hour?


487.

If the cost of 525 litres of milk is ₹10114, then what is its cost per litre?

Answer»

If the cost of 525 litres of milk is 10114, then what is its cost per litre?



488.

In figure, lines XY and MN intersect at O. If ∠POY=90∘ and a : b = 2 : 3, find a, b and c. [4 MARKS]

Answer»

In figure, lines XY and MN intersect at O. If POY=90 and a : b = 2 : 3, find a, b and c. [4 MARKS]





489.

In the following figure, if OQ is angle bisector of ∠POA, then ∠POQ will be equal to ___. 45

Answer»

In the following figure, if OQ is angle bisector of POA, then POQ will be equal to ___.


  1. 45
490.

It was estimated that because of people switching to Metro trains, about 33000 tonne of CNG, 3300 tonne of diesel and 21000 tonne of petrol was saved by the end of year 2007. Find the fraction of (i) the quantity of diesel saved to the quantity of petrol saved. (ii) the quantity of diesel saved to the quantity of CNG saved.

Answer»

It was estimated that because of people switching to Metro trains, about 33000 tonne of CNG, 3300 tonne of diesel and 21000 tonne of petrol was saved by the end of year 2007. Find the fraction of
(i) the quantity of diesel saved to the quantity of petrol saved.
(ii) the quantity of diesel saved to the quantity of CNG saved.

491.

39. Find the odd one out of the following (1)57-36 (2)82-9 (3)34-12 (4)25-10

Answer» 39. Find the odd one out of the following (1)57-36 (2)82-9 (3)34-12 (4)25-10
492.

A triangular pyramid has ___ edges.

Answer»

A triangular pyramid has ___ edges.

493.

Question 47State whether the following statement is true (T) or false (F).If the sum of two consecutive number is 93 and one of them is x, then the other number is 93-x.

Answer»

Question 47



State whether the following statement is true (T) or false (F).



If the sum of two consecutive number is 93 and one of them is x, then the other number is 93-x.



494.

Question 84 Draw an angle of 60∘ using ruler and compass and divide it into four equal parts. Measure each part.

Answer»

Question 84

Draw an angle of 60 using ruler and compass and divide it into four equal parts. Measure each part.

495.

The number 235,006 can be written in words in the international system of numeration as

Answer»

The number 235,006 can be written in words in the international system of numeration as


496.

What is the additive identity element in the set of whole numbers?(a) 0 (b) − 1 (c) 1 (d) None of these

Answer» What is the additive identity element in the set of whole numbers?



(a) 0 (b) − 1 (c) 1 (d) None of these
497.

Which of the following alphabets have 0 line of symmetry?

Answer»

Which of the following alphabets have 0 line of symmetry?


498.

A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

Answer» A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?
499.

Question 125 Find the fraction that represents the number of natural numbers to total numbers in the collection 0, 1, 2, 3, 4, 5. What fraction will it be for whole number?

Answer»

Question 125

Find the fraction that represents the number of natural numbers to total numbers in the collection 0, 1, 2, 3, 4, 5. What fraction will it be for whole number?

500.

Identify the pair(s) of like terms among the given options.

Answer»

Identify the pair(s) of like terms among the given options.