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5701.

In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

Answer» In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?
5702.

Write the easy trick of table 8.

Answer» Write the easy trick of table 8.
5703.

△ABC is drawn with the length of side BC being 9.6 cm. If ∠B is 25∘ and ∠C is 110∘, then the measure of ∠A and the length of side AC respectively are

Answer»

ABC is drawn with the length of side BC being 9.6 cm. If B is 25 and C is 110, then the measure of A and the length of side AC respectively are


5704.

A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?

Answer»

A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?

5705.

What does m stands in congruent angles

Answer» What does m stands in congruent angles
5706.

The average goals scored by Messi in a season of 36 matches is 1.25. What is the total number of goals scored by him in the entire season?

Answer» The average goals scored by Messi in a season of 36 matches is 1.25. What is the total number of goals scored by him in the entire season?
5707.

The net given below in the figure can be used to make a cube.i) Which edge meets AN?ii) Which edge meets DE?

Answer»

The net given below in the figure can be used to make a cube.



i) Which edge meets AN?

ii) Which edge meets DE?





5708.

Question 79 A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?

Answer»

Question 79

A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?

5709.

Journalise the following transactions : 2016 March 5 Sold goods to Shruti for ₹80,000 at 15% trade discount and 4% cash discount. Received 75% amount immediately through a cheque. 10 Purchased goods from Richa for ₹60,000 at 10% trade discount and 5% cash discount. 60% amount paid by cheque immediately.

Answer» Journalise the following transactions :


















2016
March 5 Sold goods to Shruti for ₹80,000 at 15% trade discount and 4% cash discount. Received 75% amount immediately through a cheque.
10 Purchased goods from Richa for ₹60,000 at 10% trade discount and 5% cash discount. 60% amount paid by cheque immediately.
5710.

Question 2(d) Solve the following : Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?

Answer»

Question 2(d)
Solve the following
:
Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?

5711.

(i) If the number at the units place is 2 or 8, what will be the units place of the square of that number?(ii) What is the square of 12 and find its units place?

Answer» (i) If the number at the units place is 2 or 8, what will be the units place of the square of that number?

(ii) What is the square of 12 and find its units place?
5712.

The dimensions of a brick is 30 cm × 10 cm × 5 cm. The volume of 10 such bricks will be ___ cm3.

Answer»

The dimensions of a brick is 30 cm × 10 cm × 5 cm. The volume of 10 such bricks will be ___ cm3.


5713.

In a school having roll strength 286, the ratio of boys and girls is 8:5. If 22 more girls get admitted into the school, then new ratio of boys and girls is

Answer»

In a school having roll strength 286, the ratio of boys and girls is 8:5. If 22 more girls get admitted into the school, then new ratio of boys and girls is

5714.

Draw any angle withvertex O. Take a point A on one of its arms and B on another suchthat OA = OB. Draw the perpendicular bisectors of and.Let them meet at P. IsPA = PB?

Answer»

Draw any angle with
vertex O. Take a point A on one of its arms and B on another such
that OA = OB. Draw the perpendicular bisectors of
and.


Let them meet at P. Is
PA = PB?

5715.

If two numbers are in the ratio 3:5 and their difference is 48, then find the two numbers.

Answer»

If two numbers are in the ratio 3:5 and their difference is 48, then find the two numbers.



5716.

Pick the fractions which are greater than 410

Answer»

Pick the fractions which are greater than 410

5717.

Select the correct option(s).

Answer»

Select the correct option(s).



5718.

(x+2)/(x+3)>=1,xis not equal to -3Solve the inequality.

Answer» (x+2)/(x+3)>=1,xis not equal to -3
Solve the inequality.
5719.

Question 85Solve the following:The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.

Answer»

Question 85



Solve the following:



The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.



5720.

Which of the following will be obtained if π is divided by the value of the circumference of a circle?

Answer»

Which of the following will be obtained if π is divided by the value of the circumference of a circle?

5721.

15x+7x-42-x=33-x-5+2x

Answer»

15x+7x-42-x=33-x-5+2x

5722.

Question 26Fill in the blanks to make the statement true.If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ___.

Answer» Question 26



Fill in the blanks to make the statement true.



If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ___.
5723.

A hexagon is inscribed inside a circle. Five of its sides are 81cm and sixth side is 31cm. Find the sum of length of all diagnols that can be drawn from A.

Answer» A hexagon is inscribed inside a circle. Five of its sides are 81cm and sixth side is 31cm. Find the sum of length of all diagnols that can be drawn from A.
5724.

Question 5(iii) Write the following equation in statement form: 2m = 7

Answer»

Question 5(iii)
Write the following equation in statement form:
2m = 7

5725.

(15×−4)+(−6×−1)−(−7×4)=

Answer» (15×4)+(6×1)(7×4)=
5726.

A table is sold at ₹1250 at a profit of 25%. What is the cost price of the table?

Answer» A table is sold at ₹1250 at a profit of 25%. What is the cost price of the table?
5727.

If a→=2i^-7j^+k^,b→=i^+3j^-5k^ and a→.mb→=120, then m= _____________.

Answer» If a=2i^-7j^+k^,b=i^+3j^-5k^ and a.mb=120, then m= _____________.
5728.

Question 3 (j) Using divisibility test, determine whether the given number is divisible by 6: 17852

Answer»

Question 3 (j)

Using divisibility test, determine whether the given number is divisible by 6:
17852

5729.

'Find the value of x: -19×(4+(−2))=−19×4+(−19)×x

Answer» 'Find the value of x:
-19×(4+(2))=19×4+(19)×x
5730.

In the given figure, the arms of two angles are parallel.If ∠ABC = 70°, then find(i) ∠DGC(ii) ∠DEF

Answer»

In the given figure, the arms of two angles are parallel.



If ∠ABC = 70°, then find



(i) ∠DGC



(ii) ∠DEF



5731.

A car covers a distance of 600 m in 2 minutes whereas a train covers a distance of 75 km in 50 minutes. Find the ratio of their speed.

Answer»

A car covers a distance of 600 m in 2 minutes whereas a train covers a distance of 75 km in 50 minutes. Find the ratio of their speed.


5732.

piece of work in 5 days, while 6 men and 8 boys can finish it in 7 days . Find the time taken by 1 man and 1 boy to finish alone to finish the work

Answer» piece of work in 5 days, while 6 men and 8 boys can finish it in 7 days . Find the time taken by 1 man and 1 boy to finish alone to finish the work
5733.

When a dice is thrown, what is the probability of getting a number 6?

Answer»

When a dice is thrown, what is the probability of getting a number 6?


5734.

Which of the following is a mathematical phrase that can contain numbers, variables and operators?

Answer»

Which of the following is a mathematical phrase that can contain numbers, variables and operators?



5735.

Rashmi came in the test.

Answer» Rashmi came in the test.
5736.

A can contains a mixture of two liquids A and B in the ratio 3:4. When 14 litres of mixture are drawn off and the can is filled with A, the ratio of A and B becomes 3:2. How many litres of liquid A was contained by the can initially?

Answer»

A can contains a mixture of two liquids A and B in the ratio 3:4. When 14 litres of mixture are drawn off and the can is filled with A, the ratio of A and B becomes 3:2. How many litres of liquid A was contained by the can initially?

5737.

Question 5(iii)Consider this data collected from a survey of a colony.Favourite SportCricketBasket BallSwimmingHockeyAthleticsWatching1240470510423250Participating620320320250105Which is more preferred, watching or participating in sports?

Answer» Question 5(iii)

Consider this data collected from a survey of a colony.

Favourite SportCricketBasket BallSwimmingHockeyAthleticsWatching1240470510423250Participating620320320250105

Which is more preferred, watching or participating in sports?
5738.

(a) (i) Provide thenumber in the box ,such that .(ii) Thesimplest form of the number obtained in is _______.(b) (i) Provide thenumber in the box ,such that ?(ii) Thesimplest form of the number obtained in is _______.

Answer»

(a) (i) Provide the
number in the box
,
such that
.


(ii) The
simplest form of the number obtained in

is _______.



(b) (i) Provide the
number in the box
,
such that
?


(ii) The
simplest form of the number obtained in

is _______.

5739.

If square of horizontal range is 48 times of square of range the find angle of projection

Answer» If square of horizontal range is 48 times of square of range the find angle of projection
5740.

The average weight of Anand(A) , Billu (B) and Cathy (C) is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is ___Kg.

Answer» The average weight of Anand(A) , Billu (B) and Cathy (C) is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is ___Kg.
5741.

Ray diagram of concave mirror picture of it

Answer» Ray diagram of concave mirror picture of it
5742.

Question 10 (ii)CD and GH are respectively the bisectors of angleACB and ∠EGF such that D and H lie on sides AB and FE of ΔABC and ΔEFG respectively. If ΔABC∼ΔFEG, Show that(ii)ΔDCB∼ΔHGE

Answer» Question 10 (ii)

CD and GH are respectively the bisectors of angleACB and EGF such that D and H lie on sides AB and FE of ΔABC and ΔEFG respectively. If ΔABCΔFEG, Show that

(ii)ΔDCBΔHGE
5743.

A wheel covers a distance of 82.5 m is 15 revolutions. Find its diameter.

Answer»

A wheel covers a distance of 82.5 m is 15 revolutions. Find its diameter.

5744.

A pizza consists of 6 slices. If there are 5 kids, the number of pizza slices each kid gets is .

Answer»

A pizza consists of 6 slices. If there are 5 kids, the number of pizza slices each kid gets is .

5745.

A well with 10m inside diameter is dug 3 14 m deep.Earth taken out of it is spread all around to form an embankment .Find the height of embankment

Answer» A well with 10m inside diameter is dug 3 14 m deep.Earth taken out of it is spread all around to form an embankment .Find the height of embankment
5746.

Number of line segments required to construct a triangle are _____ .

Answer»

Number of line segments required to construct a triangle are _____ .



5747.

ANSWER IN STEPS : By selling a dinner set for Rs.4,320 a crockery dealer made a profit of 8%. Find the Cost price if it was sold for Rs.819.

Answer»

ANSWER IN STEPS :

By selling a dinner set for Rs.4,320 a crockery dealer made a profit of 8%. Find the Cost price if it was sold for Rs.819.

5748.

Simplified form of a(2a+4a2−6a3) is 2a2+−

Answer»

Simplified form of a(2a+4a26a3) is 2a2+

5749.

The following table shows the average intake of nutrients in calories by rural and urban groups in a particular year. Using a suitable scale for the given data, draw a double bar graph to compare the data.FoodstuffRuralUrbanPulses3549Leafy vegetables1421Other vegetables5189Fruits3566Milk70250Fish and flesh foods1022Fats and oils935Sugar/Jaggery1931

Answer» The following table shows the average intake of nutrients in calories by rural and urban groups in a particular year. Using a suitable scale for the given data, draw a double bar graph to compare the data.

FoodstuffRuralUrbanPulses3549Leafy vegetables1421Other vegetables5189Fruits3566Milk70250Fish and flesh foods1022Fats and oils935Sugar/Jaggery1931
5750.

A square lawn is surrounded by a path 2 m wide. If the area of the path is 240 meter square, find the area of the lawn.

Answer» A square lawn is surrounded by a path 2 m wide. If the area of the path is 240 meter square, find the area of the lawn.