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10901.

If A : B = 3 : 5 and B : C = 4 : 7 , find A: B : C

Answer» If A : B = 3 : 5 and B : C = 4 : 7 , find A: B : C
10902.

If the bisectors of angles ∠PQR and ∠PRQ of triangle PQR meet at a point M, then prove that angle QMR = 90+1/2 angle P

Answer» If the bisectors of angles ∠PQR and ∠PRQ of triangle PQR meet at a point M, then prove that angle QMR = 90+1/2 angle P
10903.

Question 3 (iii) Find the value of the following expression, when x = -1: x2+2x+1

Answer»

Question 3 (iii)

Find the value of the following expression, when x = -1:
x2+2x+1

10904.

The product of the first n odd natural numbers equals?

Answer» The product of the first n odd natural numbers equals?
10905.

Following is the Trial Balance of Mr. Gautam as at 31st March, 2017: Dr. Balances (₹) Cr. Balances (₹) Goodwill 30,000 Purchase Returns 2,650 Land & Buildings 60,000 Capital A/c 2,03,000 Plant & Machinery 40,000 Bills Payable 13,800 Loose Tools 3,000 Sundry Creditors 30,000 Bills Receivable 2,000 Sales 1,15,000 Stock 1st April, 2016 40,000 Purchases 51,000 Wages 20,000 Carriage Inwards 1,200 Coal & Gas 5,600 Salaries 4,000 Rent 2,700 Discount allowed 1,500 Cash at Bank 25,000 Cash in hand 1,400 Sundry Debtors 45,000 Repairs 1,800 Printing & Stationery 600 Bad-debts 1,200 Advertisements 3,500 Furniture and Fixtures 1,200 General Expenses 250 Investments 5,000 Drawings 15,000 Carriage Outwards 1,500 Sales Returns 2,000 3,64,450 3,64,450 You are required to prepare Final Accounts after taking into account the following adjustments:(a) Closing Stock on 31st March, 2017 was ₹ 60,000.(b) Depreciate Plant and Machinery at 5%, Loose Tools at 15% and Furniture and fixtures at 5%.(c) Provide 212% for discount on Sundry Debtors and also provide 5% for Bad and Doubtful Debts on Sundry Debtors.(d) Only three quarter's rent has been paid, the last quarter's rent being outstanding.(e) Interest earned but not received ₹ 600.(f) Write off 14th of Advertisement expenses.

Answer» Following is the Trial Balance of Mr. Gautam as at 31st March, 2017:


















































































































































































Dr. Balances (₹) Cr. Balances (₹)
Goodwill 30,000 Purchase Returns 2,650
Land & Buildings 60,000 Capital A/c 2,03,000
Plant & Machinery 40,000 Bills Payable 13,800
Loose Tools 3,000 Sundry Creditors 30,000
Bills Receivable 2,000 Sales 1,15,000
Stock 1st April, 2016 40,000
Purchases 51,000
Wages 20,000
Carriage Inwards 1,200
Coal & Gas 5,600
Salaries 4,000
Rent 2,700
Discount allowed 1,500
Cash at Bank 25,000
Cash in hand 1,400
Sundry Debtors 45,000
Repairs 1,800
Printing & Stationery 600
Bad-debts 1,200
Advertisements 3,500
Furniture and Fixtures 1,200
General Expenses 250
Investments 5,000
Drawings 15,000
Carriage Outwards 1,500
Sales Returns 2,000
3,64,450 3,64,450



You are required to prepare Final Accounts after taking into account the following adjustments:

(a) Closing Stock on 31st March, 2017 was ₹ 60,000.

(b) Depreciate Plant and Machinery at 5%, Loose Tools at 15% and Furniture and fixtures at 5%.

(c) Provide 212% for discount on Sundry Debtors and also provide 5% for Bad and Doubtful Debts on Sundry Debtors.

(d) Only three quarter's rent has been paid, the last quarter's rent being outstanding.

(e) Interest earned but not received ₹ 600.

(f) Write off 14th of Advertisement expenses.
10906.

From the following Trial Balance of Sh. Swamy Narain, prepare Trading and Profit & Loss Account for the year ended 31st March 2018 and a Balance Sheet as at that date : Dr. Balances ₹ Cr. Balances ₹ Opening Stock 50,000 Capital 20,00,000 Purchases 5,30,000 Sales 12,50,000 General Expenses 45,000 Sundry Creditors 1,36,000 Stationery 6,000 Trade Charges due but not paid 5,000 Wages 2,15,000 Outstanding Rent 4,000 Trade Charges 25,000 Bank Balance 45,000 Rent 44,000 Charity 5,000 Advertisement Expenses 30,000 Carriage on Sales 12,000 Bills Receivables 30,000 Sundry Debtors 2,20,000 Cash Discount 16,000 Cash in Hand 22,000 Furniture 1,00,000 Advance for Furniture 40,000 Plant & Machinery 6,00,000 Building 14,50,000 34,40,000 34,40,000 Adjustments:(i) Stock on 31 March, 2018 was valued at ₹ 60,000.(ii) A new machine was installed during the year costing ₹ 2,00,000 but it was not recorded in the books. Wages paid for its installation ₹ 10,000 have been debited to Wages Account.(iii) An advance of ₹ 10,000 given alongwith purchase order was wrongly recorded in purchases.(iv) General expenses include ₹ 20,000 paid for Wages.(v) Wages include a sum of ₹ 50,000 spent on the erection of a Scooter Stand for employees.(vi) Advance for Furniture is for furniture at proprietor's residence.(vii) Depreciate Furniture at 15%, Plant & Machinery at 20% and Building at 10%.(viii) Carry forward 2/3 of Advertisement Expenses as unexpired.(ix) A B/R of ₹ 20,000 was discounted with bank on 15 Nov. 2017, but not yet matured.

Answer» From the following Trial Balance of Sh. Swamy Narain, prepare Trading and Profit & Loss Account for the year ended 31st March 2018 and a Balance Sheet as at that date :
































































































































Dr. Balances Cr. Balances
Opening Stock 50,000 Capital 20,00,000
Purchases 5,30,000 Sales 12,50,000
General Expenses 45,000 Sundry Creditors 1,36,000
Stationery 6,000 Trade Charges due but not paid 5,000
Wages 2,15,000 Outstanding Rent 4,000
Trade Charges 25,000 Bank Balance 45,000
Rent 44,000
Charity 5,000
Advertisement Expenses 30,000
Carriage on Sales 12,000
Bills Receivables 30,000
Sundry Debtors 2,20,000
Cash Discount 16,000
Cash in Hand 22,000
Furniture 1,00,000
Advance for Furniture 40,000
Plant & Machinery 6,00,000
Building 14,50,000
34,40,000 34,40,000



Adjustments:

(i) Stock on 31 March, 2018 was valued at ₹ 60,000.

(ii) A new machine was installed during the year costing ₹ 2,00,000 but it was not recorded in the books. Wages paid for its installation ₹ 10,000 have been debited to Wages Account.

(iii) An advance of ₹ 10,000 given alongwith purchase order was wrongly recorded in purchases.

(iv) General expenses include ₹ 20,000 paid for Wages.

(v) Wages include a sum of ₹ 50,000 spent on the erection of a Scooter Stand for employees.

(vi) Advance for Furniture is for furniture at proprietor's residence.

(vii) Depreciate Furniture at 15%, Plant & Machinery at 20% and Building at 10%.

(viii) Carry forward 2/3 of Advertisement Expenses as unexpired.

(ix) A B/R of ₹ 20,000 was discounted with bank on 15 Nov. 2017, but not yet matured.
10907.

Choose the correct alternative in the following question:84+8212=a 84 b 877 c 72 d 865

Answer» Choose the correct alternative in the following question:



84+8212=a 84 b 877 c 72 d 865
10908.

Are fundamental concepts and exponents same?

Answer» Are fundamental concepts and exponents same?
10909.

Question 2 (iii)Find the sums given below.(iii) − 5 + (− 8) + (− 11) + ………… + (− 230)

Answer» Question 2 (iii)

Find the sums given below.


(iii) − 5 + (− 8) + (− 11) + ………… + (− 230)
10910.

Which of the following nets will give you a cuboid when folded?

Answer»

Which of the following nets will give you a cuboid when folded?


10911.

Which rational number should be subtracted from −79 to get 56 ?

Answer»

Which rational number should be subtracted from 79 to get 56 ?


10912.

In the below quadrilateral ABCD, if AD = BC and ∠DAB = ∠CBA, then what is the relation between ∠ABD and ∠BAC?

Answer»

In the below quadrilateral ABCD, if AD = BC and DAB = CBA, then what is the relation between ABD and BAC?





10913.

Rina, while waiting for her friend Tina, started playing with matchsticks. As the wait time was more, Rina makes the figure “262226” using the matchsticks by the time Tina reaches. Tina accidentally steps on the pattern and all the matchsticks were spread all over. Rina was upset with this and wanted to find the number of matchsticks she wasted?

Answer»

Rina, while waiting for her friend Tina, started playing with matchsticks. As the wait time was more, Rina makes the figure “262226” using the matchsticks by the time Tina reaches. Tina accidentally steps on the pattern and all the matchsticks were spread all over. Rina was upset with this and wanted to find the number of matchsticks she wasted?

10914.

Burst the bubbles which add up to 7.

Answer»

Burst the bubbles which add up to 7.

10915.

The arithmetic mean of first n natural numbers is ___________.

Answer» The arithmetic mean of first n natural numbers is ___________.
10916.

The sum of three consecutive multiples of 4 is 24. Find the smallest multiple.4

Answer» The sum of three consecutive multiples of 4 is 24. Find the smallest multiple.
  1. 4
10917.

Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side 1 m (as shown in the figure). The (x, y) coordinates of the centre of mass will be-

Answer»

Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side 1 m (as shown in the figure). The (x, y) coordinates of the centre of mass will be-


10918.

A man sells a bag at 6% profit. If he had sold it at 10% profit, he would have got ₹200 more. Find the selling price of the bag.

Answer»

A man sells a bag at 6% profit. If he had sold it at 10% profit, he would have got ₹200 more. Find the selling price of the bag.



10919.

Find the wrong term in the following patternAA,DE,IJ,PO,YU

Answer» Find the wrong term in the following pattern
AA,DE,IJ,PO,YU
10920.

Slope of a curve.How does it change with change in angle in case of obtuse angles?When we go from an obtuse angle(-ve slope) to 0 does the slope increase or decrease?

Answer» Slope of a curve.
How does it change with change in angle in case of obtuse angles?
When we go from an obtuse angle(-ve slope) to 0 does the slope increase or decrease?
10921.

value of 2 raised to the power of100

Answer»

value of 2 raised to the power of100

10922.

Which of the following option(s) holds a propotional relationship?

Answer»

Which of the following option(s) holds a propotional relationship?

10923.

Question 1 (i) Find 0.2 × 6

Answer» Question 1 (i)
Find
0.2 × 6
10924.

The simplified form of 2√7−√5 is

Answer» The simplified form of 275 is
10925.

Question 14Find the missing number in the box in each of the proportions:□45=1640=24□

Answer»

Question 14



Find the missing number in the box in each of the proportions:



45=1640=24





10926.

'चूल्हा ठंडा किया होता, तो दुश्मनों का कलेजा कैसे ठंडा होता?' नायकराम के इस कथन में निहित भाव को स्पष्ट कीजिए।

Answer» 'चूल्हा ठंडा किया होता, तो दुश्मनों का कलेजा कैसे ठंडा होता?' नायकराम के इस कथन में निहित भाव को स्पष्ट कीजिए।
10927.

Find the value of ∠AOB in the given figure.​​​​​​​

Answer» Find the value of AOB in the given figure.

​​​​​​​
10928.

A monkey can jump 3 poles at a time. On 7th jump he will land on _____ pole.

Answer» A monkey can jump 3 poles at a time. On 7th jump he will land on _____ pole.
10929.

Question 21Kanta has p pencils in her box. She puts q more pencils in the box. The total number of pencils with her are(a) p + q(b) pq(c) p - q(d) pq

Answer»

Question 21



Kanta has p pencils in her box. She puts q more pencils in the box. The total number of pencils with her are



(a) p + q



(b) pq



(c) p - q



(d) pq



10930.

The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.

Answer» The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.
10931.

Question 45Make a line graph for the area of a square as per the given table.Side(in cm)1234Area(in cm3)14916It is a linear graph?

Answer» Question 45

Make a line graph for the area of a square as per the given table.

Side(in cm)1234Area(in cm3)14916

It is a linear graph?
10932.

A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and-

Answer»

A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and-


10933.

To find the time to travel a distance.Find the time, taken to travel a distance of 50 km if the speed is 5 m/sec.

Answer»

To find the time to travel a distance.



Find the time, taken to travel a distance of 50 km if the speed is 5 m/sec.

10934.

Anmol drew a circle and divided it in to four equal parts.

Answer»

Anmol drew a circle and divided it in to four equal parts.




10935.

Fill In the Blanks If mode and median of the certain data are 3 and 3 respectively, then mean is ___________.

Answer» Fill In the Blanks



If mode and median of the certain data are 3 and 3 respectively, then mean is ___________.
10936.

The circumference of a circle is 440 cm .Find its radius and diameter.(take pictures =22/7)

Answer»

The circumference of a circle is 440 cm .Find its radius and diameter.(take pictures =22/7)

10937.

If x=5-35+3 and y=5+35-3, show that x2-y2=-10311.

Answer» If x=5-35+3 and y=5+35-3, show that x2-y2=-10311.
10938.

Which of the following rectangle has its area equal to (5m+8n)×(7m−3n) ?

Answer»

Which of the following rectangle has its area equal to (5m+8n)×(7m3n) ?

10939.

Jennifer is preparing for her evening spring-gala where she is the lead singer. She has 4 scarves, 3 hats and 5 pairs of shoes. For her performance, she wants to wear a hat, a scarf, and a pair of shoes. How many ensembles can she make for her evening?

Answer»

Jennifer is preparing for her evening spring-gala where she is the lead singer. She has 4 scarves, 3 hats and 5 pairs of shoes. For her performance, she wants to wear a hat, a scarf, and a pair of shoes. How many ensembles can she make for her evening?

10940.

Question 135512m long rope is cut into 12 equal pieces. What is the length of each piece?

Answer» Question 135

512m long rope is cut into 12 equal pieces. What is the length of each piece?
10941.

Write the complement of each of the following angles: (i) 20∘ (ii) 35∘ (iii) 90∘ (iv) 77∘ (v) 30∘

Answer»

Write the complement of each of the following angles:
(i) 20 (ii) 35 (iii) 90 (iv) 77 (v) 30

10942.

A school has a hall 22 m long and 15.5 m wide , a carpet is laid inside the hall leaving around margin of 75 cm from the walls. Find area of carpet and area of strip uncovered . If width of carpet is 82 cm find its cost for Rs. 60 per meter.

Answer»

A school has a hall 22 m long and 15.5 m wide , a carpet is laid inside the hall leaving around margin of 75 cm from the walls. Find area of carpet and area of strip uncovered . If width of carpet is 82 cm find its cost for Rs. 60 per meter.

10943.

For the diagram above choose the pair of vertical angles.

Answer»

For the diagram above choose the pair of vertical angles.
10944.

Express 30 : 50 in its simplest form.

Answer»

Express 30 : 50 in its simplest form.

10945.

Question 66 (d) Find the value of the given polynomial at a = -2 and b = 3. a3−3a2b+3ab2−b3

Answer»

Question 66 (d)

Find the value of the given polynomial at a = -2 and b = 3.

a33a2b+3ab2b3

10946.

Which of the following is not a standard criterion of congruency of two triangles and why? SSS. SSA. SAS. ASA

Answer» Which of the following is not a standard criterion of congruency of two triangles and why? SSS. SSA. SAS. ASA
10947.

Kunal buys 100 mangoes for ₹1600 and sells them at a profit of 15%. Find the selling price of one mango.

Answer»

Kunal buys 100 mangoes for 1600 and sells them at a profit of 15%. Find the selling price of one mango.



10948.

Consider the terms x3y, 4x2y2, 3xy3, 7x2y2, 3x3, 4y2, 6xy, 7x3y and 8y2. Which of the following are like terms?

Answer»

Consider the terms x3y, 4x2y2, 3xy3, 7x2y2, 3x3, 4y2, 6xy, 7x3y and 8y2.
Which of the following are like terms?


10949.

बालकश्रीकृष्णकिसलोभकेकारणदूधपीनेकेलिएतैयारहुए?

Answer»

बालक
श्रीकृष्ण
किस
लोभ
के
कारण
दूध
पीने
के
लिए
तैयार
हुए?

10950.

An investor invested 20 cr in a company for the development of a mobile application. Company distributed this money among various departments to cover up the needs. One-fourth of invested money is allocated to advertisement team . Two third of remaining money was given to development team. In development team there are two sub teams namely Graphics and content team. Among them it is distributed in such a way that content team will get 32 times more money than that of graphics team. Find the money allocated to each team separately. [4 MARKS]

Answer»

An investor invested 20 cr in a company for the development of a mobile application. Company distributed this money among various departments to cover up the needs. One-fourth of invested money is allocated to advertisement team . Two third of remaining money was given to development team. In development team there are two sub teams namely Graphics and content team. Among them it is distributed in such a way that content team will get 32 times more money than that of graphics team. Find the money allocated to each team separately. [4 MARKS]