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6801.

Using the figures given below, frame problems based on profit percent or loss percent ​Cost price Rs 2000, selling price Rs 1900

Answer» Using the figures given below, frame problems based on profit percent or loss percent

​Cost price Rs 2000, selling price Rs 1900
6802.

Find the area of a square park whose perimeter is 320m.

Answer»

Find the area of a square park whose perimeter is 320m.

6803.

Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?

Answer»

Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?



6804.

120∘ can be produced by extending the arc of

Answer» 120 can be produced by extending the arc of
6805.

On 1st January, 2106 X sold goods to Y for Rs. 20,000 less 2% cash discount. Y paid 50% price immediately and X drew a bill on Y for two months for the balance. This bill is duly accepted by Y. The bill was dishonoured on the due date and X paid Rs. 100 as nothing charges. Y paid the amount due to X by cheque after ten days. Pass entries in the books of both the parties.

Answer»

On 1st January, 2106 X sold goods to Y for Rs. 20,000 less 2% cash discount. Y paid 50% price immediately and X drew a bill on Y for two months for the balance. This bill is duly accepted by Y. The bill was dishonoured on the due date and X paid Rs. 100 as nothing charges. Y paid the amount due to X by cheque after ten days. Pass entries in the books of both the parties.

6806.

the least integral number of years in which a sum at 40% per annum compound interest will become more than thrice itself is

Answer» the least integral number of years in which a sum at 40% per annum compound interest will become more than thrice itself is
6807.

1 litre of milk is equally distributed among six containers. Determine the quantity of milk in each container.

Answer» 1 litre of milk is equally distributed among six containers. Determine the quantity of milk in each container.
6808.

Study the following table carefully and answer the questions below: Number of Candidates found Eligible and the Number of candidates Short listed for Interview for a recent Recruitment Process for Six Posts from Different States E - Eligible S - Short listed PostIIIIIIIVVVIStateE∣SE∣SE∣SE∣SE∣SE∣SA2500∣657200∣2405200∣763600∣2004600∣1105400∣380B3200∣2208500∣4208400∣1906200∣3205800∣1806200∣430C2800∣2804500∣3507600∣1608200∣4407300∣3103700∣250D2400∣854800∣2002600∣557500∣3503900∣1604800∣360E3000∣1205600∣2803800∣756800∣2806100∣2607800∣520F4800∣3256400∣3204400∣2204700∣1804900∣2208800∣640G6500∣5507000∣1406000∣3255500∣2208100∣4102700∣200 What is the overall percentage (rounded off to one digit after decimal) of candidates short listed over the total number of candidates eligible for Post I from all the states together?

Answer»

Study the following table carefully and answer the questions below:

Number of Candidates found Eligible and the Number of candidates Short listed for Interview for a recent Recruitment Process for Six Posts from Different States
E - Eligible S - Short listed
PostIIIIIIIVVVIStateESESESESESESA2500657200240520076360020046001105400380B320022085004208400190620032058001806200430C280028045003507600160820044073003103700250D2400854800200260055750035039001604800360E30001205600280380075680028061002607800520F480032564003204400220470018049002208800640G650055070001406000325550022081004102700200

What is the overall percentage (rounded off to one digit after decimal) of candidates short listed over the total number of candidates eligible for Post I from all the states together?

6809.

The number that is obtained by adding 2 to 3 is ___.

Answer» The number that is obtained by adding 2 to 3 is ___.
6810.

Simplify the expression 6m - 10m + 10.

Answer»

Simplify the expression 6m - 10m + 10.


6811.

A hexagonal field of side 30 m has to be used for playing cricket. Find its area.

Answer»

A hexagonal field of side 30 m has to be used for playing cricket. Find its area.


6812.

Question 55 (i) Find the numerical coefficient of each of the terms. x3y2z, xy2z3, −3xy2z3, 5x3y2z, −7x2y2z2

Answer»

Question 55 (i)

Find the numerical coefficient of each of the terms.

x3y2z, xy2z3, 3xy2z3, 5x3y2z, 7x2y2z2

6813.

Is the triangle formed by the sides of lengths 9 cm, 40 cm, and 41 cm a right-angled triangle?

Answer» Is the triangle formed by the sides of lengths 9 cm, 40 cm, and 41 cm a right-angled triangle?
6814.

The square root of }(-5+12i) is

Answer» The square root of }(-5+12i) is
6815.

Akash has 6xy+4xy2 chocolates. He wants to distribute them to 2x children. How many chocolates does each of the child get if y = 2? ___

Answer»

Akash has 6xy+4xy2 chocolates. He wants to distribute them to 2x children. How many chocolates does each of the child get if y = 2?

___
6816.

A rod of a certain length is divided into 4 pieces of lengths 2.03 m, 6.89 m, 1.7 m and 3.76 m. What is the length of the rod before the division?

Answer»

A rod of a certain length is divided into 4 pieces of lengths 2.03 m, 6.89 m, 1.7 m and 3.76 m. What is the length of the rod before the division?


6817.

Question 1 (i) Find 12÷34

Answer»
Question 1 (i)
Find
12÷34
6818.

-17/5 lies between

Answer»

-17/5 lies between


6819.

In a class there are 42 boys and 38 girls. Find the ratio of the number of boys to the number of girls and also find the ratio of the number of girls to the number of boys.

Answer» In a class there are 42 boys and 38 girls. Find the ratio of the number of boys to the number of girls and also find the ratio of the number of girls to the number of boys.
6820.

The length of each side of a square land shown in the figure is (a + b) units. In the corner of this land there is a square portion of length ‘b’ units is useless. Find the area of the portion of the land which is useful.

Answer»



The length of each side of a square land shown in the figure is (a + b) units. In the corner of this land there is a square portion of length ‘b’ units is useless. Find the area of the portion of the land which is useful.

6821.

What does the institution, called as bank, do?

Answer»

What does the institution, called as bank, do?



6822.

Question 5 (i) A path 1 m wide is built along the border and inside a square garden of side 30 m. Find: The area of the path

Answer»

Question 5 (i)

A path 1 m wide is built along the border and inside a square garden of side 30 m. Find:
The area of the path

6823.

Written:Construct a triangle ABC in which BC = 5 cm, AB = AC = 4.5 cm. Name the type of the triangle.

Answer»

Written:



Construct a triangle ABC in which BC = 5 cm, AB = AC = 4.5 cm. Name the type of the triangle.

6824.

Question 4(c) : Fill in the boxes: 12−□=16

Answer»

Question 4(c) :

Fill in the boxes:

12=16

6825.

Find the value of (x+y) from the figure below:

Answer»

Find the value of (x+y) from the figure below:


6826.

Sid is sitting at a bus stop, noting down the time interval of the buses arriving at the stop. His readings are as follows: Bus123456789101112131415Time(hr:min)8:158:188:238:298:328:408:458:528:549:009:079:139:209:259:32 What is the probability that the next bus will come within 5 minutes?(in decimals) __

Answer»

Sid is sitting at a bus stop, noting down the time interval of the buses arriving at the stop. His readings are as follows:

Bus123456789101112131415Time(hr:min)8:158:188:238:298:328:408:458:528:549:009:079:139:209:259:32

What is the probability that the next bus will come within 5 minutes?(in decimals)


__

6827.

From the following information prepare financial Statements of M/s Raj & Bros, for the year ending March 31, 2017. Dr Bal. (₹) Cr Bal. (₹) Stock (1-4-2016) 16,800 Capital 78,000 Sales Returns 8,000 Sales 3,09,000 Purchases 2,43,000 Returns Outward 5,700 Freight-in 8,600 Trade Creditors 4,800 Rent and Taxes 5,700 10% Bank Loan (1-7-2016) 24,000 Salaries 9,300 Income from Investment 3,600 Trade debtors 24,000 Discount Received 2,250 Bank interest 1,000 Printing and Advertising 14,600 Cash at bank 18,300 Discount Allowed 1,340 Investment 25,000 Furniture 3,800 General Expenses 3,610 Audit Fees 500 Insurance 800 Travelling Expenses 3,000 Plant & Machinery 30,000 Drawings 10,000 4,27,350 4,27,350 Additional Information:- (i) Depreciation on Plant and Machinery 10% p.a., a Machine has been purchased on July 01, 2016 for ₹ 12,000.(ii) The manager is entitled to a commission of 10% of the net profit before charging such commission.(iii) Closing stock in trade is valued at ₹ 6,000 (cost); ₹ 6,200 (Market Price).(iv) Rent outstanding ₹ 5,000.

Answer» From the following information prepare financial Statements of M/s Raj & Bros, for the year ending March 31, 2017.









































































































































Dr Bal.

()
Cr Bal.

()
Stock (1-4-2016) 16,800 Capital 78,000
Sales Returns 8,000 Sales 3,09,000
Purchases 2,43,000 Returns Outward 5,700
Freight-in 8,600 Trade Creditors 4,800
Rent and Taxes 5,700 10% Bank Loan (1-7-2016) 24,000
Salaries 9,300 Income from Investment 3,600
Trade debtors 24,000 Discount Received 2,250
Bank interest 1,000
Printing and Advertising 14,600
Cash at bank 18,300
Discount Allowed 1,340
Investment 25,000
Furniture 3,800
General Expenses 3,610
Audit Fees 500
Insurance 800
Travelling Expenses 3,000
Plant & Machinery 30,000
Drawings 10,000
4,27,350 4,27,350



Additional Information:-

(i) Depreciation on Plant and Machinery 10% p.a., a Machine has been purchased on July 01, 2016 for ₹ 12,000.

(ii) The manager is entitled to a commission of 10% of the net profit before charging such commission.

(iii) Closing stock in trade is valued at ₹ 6,000 (cost); ₹ 6,200 (Market Price).

(iv) Rent outstanding ₹ 5,000.
6828.

Convert 50% into a fraction.

Answer»

Convert 50% into a fraction.


6829.

In the given figure, AOC is a line, find x.

Answer» In the given figure, AOC is a line, find x.

6830.

Express 0.¯¯¯¯¯¯¯¯001 in the form pq, where p and q are integers and q≠0.

Answer»

Express 0.¯¯¯¯¯¯¯¯001 in the form pq, where p and q are integers and q0.



6831.

A's weight is 50 kg more than that of B. What is the ratio of A's weight to B's weight? (Take B's weight as x )

Answer»

A's weight is 50 kg more than that of B. What is the ratio of A's weight to B's weight? (Take B's weight as x )


6832.

(i) Check whether (20)" can end with the digit 52.for any natural number n.(ii) Prove that (12)" cannot end with the digit 0 forany natural number n.

Answer» (i) Check whether (20)" can end with the digit 52.for any natural number n.(ii) Prove that (12)" cannot end with the digit 0 forany natural number n.
6833.

If x,y,z are non -ve integers and x+y+z=10 find maximum possible value of xyz+xy+yz+zx

Answer» If x,y,z are non -ve integers and x+y+z=10 find maximum possible value of xyz+xy+yz+zx
6834.

The stop signal is placed 9/5 miles after the warning sign board which is placed at position '0' as shown.What is the correct position of stop signal?

Answer»

The stop signal is placed 9/5 miles after the warning sign board which is placed at position '0' as shown.





What is the correct position of stop signal?

6835.

Simplify [4 MARKS] (58)−7×(85)−5

Answer» Simplify [4 MARKS]

(58)7×(85)5
6836.

50. Prove that the sum of any two sides of a triangle is greater than twice the median with respect to the third side.

Answer» 50. Prove that the sum of any two sides of a triangle is greater than twice the median with respect to the third side.
6837.

What should be added to ((1/2) + (1/3) + (1/5)) to get 3?

Answer» What should be added to ((1/2) + (1/3) + (1/5)) to get 3?
6838.

What will be the number of vertices of a triangular pyramid?4

Answer» What will be the number of vertices of a triangular pyramid?
  1. 4
6839.

__________ presentation is a descriptive form of presentation of data where data is described by paragraphs of text.

Answer»

__________ presentation is a descriptive form of presentation of data where data is described by paragraphs of text.


6840.

What is the maximum expenditure from the given graph ?

Answer»

What is the maximum expenditure from the given graph ?


6841.

Which of the following angles can be constructed with the help of a ruler and a compass?

Answer»

Which of the following angles can be constructed with the help of a ruler and a compass?


6842.

In the following picture, two congruent triangles are shown.Which of the following are the correct ways to represent their congruency? Check all that apply.

Answer»

In the following picture, two congruent triangles are shown.



Which of the following are the correct ways to represent their congruency? Check all that apply.

6843.

If the area of a triangle is 294 cm2 and its base (b) is 3 times that of height (h), then find the value of h and b.

Answer» If the area of a triangle is 294 cm2 and its base (b) is 3 times that of height (h), then find the value of h and b.
6844.

The Line Segment AB with a Point P on it is given in the figure as : If AP : AB = 4 : 11 and Length of Line Segment PB = 14 cm, find the Length of AP.

Answer»

The Line Segment AB with a Point P on it is given in the figure as :



If AP : AB = 4 : 11 and Length of Line Segment PB = 14 cm, find the Length of AP.



6845.

In triangle ABC,6r=R,r1=7r and √13SI=√3.SO, where I is Incentre,S is Circumcentre and O is ortho centre. Then

Answer»

In triangle ABC,6r=R,r1=7r and 13SI=3.SO, where I is Incentre,S is Circumcentre and O is ortho centre. Then

6846.

How to convert 0.00034205 in scientific notation? Also explain scientific notation ?

Answer» How to convert 0.00034205 in scientific notation? Also explain scientific notation ?
6847.

Calculate the distance travelled in each of the following.40 minutes at 48 km/hr.

Answer»

Calculate the distance travelled in each of the following.



40 minutes at 48 km/hr.

6848.

Find:(i) 2.5 ×0.3 (ii) 0.1 ×51.7 (iii) 0.2 × 316.8(iv) 1.3 ×3.1 (v) 0.5 × 0.05 (vi) 11.2× 0.15(vii) 1.07× 0.02 (viii) 10.05 ×1.05 (ix) 101.01 × 0.01(x) 100.01× 1.1

Answer»

Find:



(i) 2.5 ×
0.3 (ii) 0.1 ×
51.7 (iii) 0.2 × 316.8


(iv) 1.3 ×
3.1 (v) 0.5 × 0.05 (vi) 11.2
× 0.15


(vii) 1.07
× 0.02 (viii) 10.05 ×
1.05 (ix) 101.01 × 0.01


(x) 100.01
× 1.1

6849.

Question 113State whether the statements are True or False.Every kite is a parallelogram.

Answer» Question 113

State whether the statements are True or False.


Every kite is a parallelogram.
6850.

Solve for x: 6(x+5)–4(x+1)=9(x+3)

Answer»

Solve for x:
6(x+5)4(x+1)=9(x+3)