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5201.

In the adjoining figure, AOB is a straight line. Find the value of x. Hence, find ∠AOC,∠COD and ∠BOD.

Answer» In the adjoining figure, AOB is a straight line. Find the value of x. Hence, find AOC,COD and BOD.


5202.

if the nth term of a progression be a linear expression in n then prove that this progression is in AP

Answer» if the nth term of a progression be a linear expression in n then prove that this progression is in AP
5203.

Question 36In the following question, fill in the blanks to make the statements true.50 = .

Answer»

Question 36



In the following question, fill in the blanks to make the statements true.



50 = .



5204.

Solve for x:2(2x+3)4=6

Answer»

Solve for x:

2(2x+3)4=6

5205.

Question 15 If two angles of a triangle are 60∘ each, then the triangle is a) Isosceles but not equilateral b) Scalene c) Equilateral d) Right angled

Answer»

Question 15

If two angles of a triangle are 60 each, then the triangle is

a) Isosceles but not equilateral
b) Scalene
c) Equilateral
d) Right angled

5206.

Question 4 (ix)Find the square roots of the following numbers by the Prime Factorization method:529

Answer»

Question 4 (ix)

Find the square roots of the following numbers by the Prime Factorization method:

529



5207.

कागज़ से तरह-तरह के खिलौने बनाने की कला को 'आरिगैमी' कहा जाता है। तुम भी कागज़ के फूल/वस्तु बनाकर दिखाओ।

Answer»

कागज़ से तरह-तरह के खिलौने बनाने की कला को 'आरिगैमी' कहा जाता है। तुम भी कागज़ के फूल/वस्तु बनाकर दिखाओ।

5208.

Factorise: 25+70x+49x2

Answer»

Factorise: 25+70x+49x2



5209.

Two complementary angles differ by 20∘. Find the measure of the angle.

Answer»

Two complementary angles differ by 20. Find the measure of the angle.

5210.

Two or more lines that lie in the same plane and never intersect each other are known as .

Answer» Two or more lines that lie in the same plane and never intersect each other are known as .
5211.

If xy and yx are rational numbers, then which of the following is correct?

Answer»

If xy and yx are rational numbers, then which of the following is correct?



5212.

When the interest you get after every year is different for a given principal sum and rate of interest, it is called-

Answer»

When the interest you get after every year is different for a given principal sum and rate of interest, it is called-


5213.

We cannot construct an angle of by using compass and ruler only.

Answer»

We cannot construct an angle of by using compass and ruler only.

5214.

What number do you get when you subtract 12 from its reciprocal?

Answer»

What number do you get when you subtract 12 from its reciprocal?


5215.

Statewhich of the following are equations (with a variable). Give reasonfor your answer. Identify the variable from the equations with avariable.(a) 17 = x+ 7 (b) (t − 7) > 5(c) (d) (7× 3) − 19 = 8 (e) 5 × 4 − 8 =2x (f) x − 2 = 0(g) 2m < 30 (h) 2n + 1 = 11(i) 7 = (11 × 5) − (12× 4) (j) 7 = (11 ×2) + p(k) 20 = 5y (l) (m) z + 12 > 24 (n) 20 − (10 − 5) = 3 ×5(o) 7 − x = 5

Answer»

State
which of the following are equations (with a variable). Give reason
for your answer. Identify the variable from the equations with a
variable.


(a) 17 = x
+ 7 (b) (t − 7) > 5



(c) (d) (7
× 3) − 19 = 8



(e) 5 × 4 − 8 =
2x (f) x − 2 = 0



(g) 2m < 30 (h) 2n + 1 = 11



(i) 7 = (11 × 5) − (12
× 4) (j) 7 = (11 ×
2) + p



(k) 20 = 5y (l)



(m) z + 12 > 24 (n) 20 − (10 − 5) = 3 ×
5



(o) 7 − x = 5

5216.

Rajesh has 235 chocolates. He wants to group them in a way such that every group will have equal number of chocolates. What is the possible group size?

Answer»

Rajesh has 235 chocolates. He wants to group them in a way such that every group will have equal number of chocolates. What is the possible group size?


5217.

40 bags of cotton cost Rs.2200, but by exchanging 25 bags to the shopkeeper we get 30 grams of silver. Find the price of 150 grams of silver by exchanging relevant number of cotton bags.

Answer»

40 bags of cotton cost Rs.2200, but by exchanging 25 bags to the shopkeeper we get 30 grams of silver. Find the price of 150 grams of silver by exchanging relevant number of cotton bags.


5218.

Question 97 Draw two parallel lines at a distance of 2.2 cm apart.

Answer»

Question 97
Draw two parallel lines at a distance of 2.2 cm apart.

5219.

Calculate the value of x in the given figure if p is parallel to q.

Answer»

Calculate the value of x in the given figure if p is parallel to q.


5220.

How many students have weight in 100≤W&lt;120 category ?

Answer»

How many students have weight in 100W<120 category ?


5221.

What is the additive identity (definition)

Answer»

What is the additive identity (definition)

5222.

2+22+23+24+25+26+27+28+29+210+211 =___

Answer»

2+22+23+24+25+26+27+28+29+210+211 =___

5223.

Out of 17 bulbs, there 8 fused bulbs. The number of bulbs working is 17 - 8. The addition equation for this is:

Answer»

Out of 17 bulbs, there 8 fused bulbs. The number of bulbs working is 17 - 8. The addition equation for this is:

5224.

What is R-S configuratio

Answer» What is R-S configuratio
5225.

Solve for x and y:32x+y=7xy3x+3y=11xy

Answer» Solve for x and y:

32x+y=7xy3x+3y=11xy
5226.

Pass the necessary Journal entries to rectify the following errors:(i) Credit sale of ₹ 570 to Mohan was recorded as ₹ 750.(ii) Credit sale of ₹ 850 to Sohan was recorded as sale to Mohan.(iii) Credit sale of ₹ 850 to Meenu was recorded as sale to Meena as ₹ 580.(iv) Credit sale of ₹ 850 to Ram was recorded in the Purchases Book.(v) Credit sale of old machinery to Sohan for ₹ 1,700 was entered in the Sales Book as ₹ 7,100.(vi) Bill Receivable for ₹ 5,000 accepted by Mahinder recorded as acceptance given to Mahinder for ₹ 6,000.

Answer» Pass the necessary Journal entries to rectify the following errors:

(i) Credit sale of ₹ 570 to Mohan was recorded as ₹ 750.

(ii) Credit sale of ₹ 850 to Sohan was recorded as sale to Mohan.

(iii) Credit sale of ₹ 850 to Meenu was recorded as sale to Meena as ₹ 580.

(iv) Credit sale of ₹ 850 to Ram was recorded in the Purchases Book.

(v) Credit sale of old machinery to Sohan for ₹ 1,700 was entered in the Sales Book as ₹ 7,100.

(vi) Bill Receivable for ₹ 5,000 accepted by Mahinder recorded as acceptance given to Mahinder for ₹ 6,000.
5227.

The domain and range of the real function of defined by fx=4-xx-4 is given by(a) Domain = R, Range ={−1, 1}(b) Domain = R −{1}, Range = R(c) Domain = R −{4}, Range = {−1}(d) Domain = R −{−4}, Range = {−1, 1}

Answer» The domain and range of the real function of defined by fx=4-xx-4 is given by

(a) Domain = R, Range ={−1, 1}

(b) Domain = R −{1}, Range = R

(c) Domain = R −{4}, Range = {−1}

(d) Domain = R −{−4}, Range = {−1, 1}
5228.

Question 32 If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has ___ more toffees.

Answer»

Question 32

If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has ___ more toffees.

5229.

Following is the Trial Balance of Sh. Damodar Parshad as at 31st March, 2016:- Dr. Balances (₹) Cr. Balances (₹) Stock 1-4-2015 10,000 Discount Received 750 Purchases 58,000 Return Outwards 2,600 Wages 4,700 Sales 98,650 Returns Inwards 3,520 B/P 3,000 Carriage on Purchases 2,360 Sundry Creditors 5,600 Carriage on Sales 710 Creditors for Rent 500 Office Salaries 4,800 Capital 40,000 Rent and Taxes 2,400 Loan from X 10,000 Cash 1,100 Commission 1,200 Bank Balance 7,820 Bad-debts 600 Discount allowed 640 Land and Building 20,000 Scooter 6,600 Scooter Repairs 850 B/R 3,500 Commission 1,800 Sundry Debtors 25,400 Interest on X's Loan 1,500 Drawings 6,000 1,62,300 1,62,300 Prepare a Trading and Profit and Loss Account for the year ended on 31-3-2016 and the Balance Sheet as at that date. The Stock on 31st March, 2016 was ₹ 22,000.

Answer» Following is the Trial Balance of Sh. Damodar Parshad as at 31st March, 2016:-











































































































































Dr. Balances (₹) Cr. Balances (₹)
Stock 1-4-2015 10,000 Discount Received 750
Purchases 58,000 Return Outwards 2,600
Wages 4,700 Sales 98,650
Returns Inwards 3,520 B/P 3,000
Carriage on Purchases 2,360 Sundry Creditors 5,600
Carriage on Sales 710 Creditors for Rent 500
Office Salaries 4,800 Capital 40,000
Rent and Taxes 2,400 Loan from X 10,000
Cash 1,100 Commission 1,200
Bank Balance 7,820
Bad-debts 600
Discount allowed 640
Land and Building 20,000
Scooter 6,600
Scooter Repairs 850
B/R 3,500
Commission 1,800
Sundry Debtors 25,400
Interest on X's Loan 1,500
Drawings 6,000
1,62,300 1,62,300



Prepare a Trading and Profit and Loss Account for the year ended on 31-3-2016 and the Balance Sheet as at that date. The Stock on 31st March, 2016 was ₹ 22,000.
5230.

​Record the following transactions of Prabhat Electric Co., Delhi in the proper subsidiary books:**** 2018 Jan 1 Sold on credit to Grover &amp; Co., Kanpur: 10 Crompton Water Coolers ₹6,000 each 5 Pedestal Fans ₹2,000 each Trade Discount 10%, charged IGST 12% Jan 5 Purchased on credit from Ram &amp; Bros., Delhi: 25 Videocon Washing Machines ₹7,000 each 10 Wall Fans ₹1,500 each Trade Discount 25%, plus CGST and SGST 6% each Jan 10 Purchased for cash from Raja &amp; Co., Delhi: 10 Electric Kettles ₹750 Plus CGST and SGST 6% each Jan 15 Sold to Mahesh Bros., Chandigarh: 5 Crompton Water Coolers ₹7,000 each 2 Pedestal Fans ₹2,500 each Charged IGST 12% Jan 18 Returned to Ram &amp; Bros.: 2 Videocon Washing Machines being defective Jan 20 Purchased from Sethi &amp; Co., Delhi: 20 Toasters ₹800 They charged CGST and SGST 6% each Jan 27 Mahesh Bros. returned one Crompton Water Cooler, it being defective

Answer» ​Record the following transactions of Prabhat Electric Co., Delhi in the proper subsidiary books:****












































































































2018
Jan 1 Sold on credit to Grover & Co., Kanpur:
10 Crompton Water Coolers ₹6,000 each
5 Pedestal Fans ₹2,000 each
Trade Discount 10%, charged IGST 12%
Jan 5 Purchased on credit from Ram & Bros., Delhi:
25 Videocon Washing Machines ₹7,000 each
10 Wall Fans ₹1,500 each
Trade Discount 25%, plus CGST and SGST 6% each
Jan 10 Purchased for cash from Raja & Co., Delhi:
10 Electric Kettles ₹750
Plus CGST and SGST 6% each
Jan 15 Sold to Mahesh Bros., Chandigarh:
5 Crompton Water Coolers ₹7,000 each
2 Pedestal Fans ₹2,500 each
Charged IGST 12%
Jan 18 Returned to Ram & Bros.:
2 Videocon Washing Machines being defective
Jan 20 Purchased from Sethi & Co., Delhi:
20 Toasters ₹800
They charged CGST and SGST 6% each

Jan 27



Mahesh Bros. returned one Crompton Water Cooler, it being defective




5231.

A triangular wall having sides 3 m, 5 m and 6 m has to be painted. If the cost of painting 1 m2 of a wall is ₹5, what is the cost of painting the whole wall?(Take √14 = 3.742)

Answer» A triangular wall having sides 3 m, 5 m and 6 m has to be painted. If the cost of painting 1 m2 of a wall is ₹5, what is the cost of painting the whole wall?

(Take 14 = 3.742)


5232.

Find the expression that represents the pattern 1, 5, 9, 13, 17, ... perfectly.

Answer» Find the expression that represents the pattern 1, 5, 9, 13, 17, ... perfectly.
5233.

If a set has n elements, then it has subsets.

Answer»

If a set has n elements, then it has subsets.

5234.

Question 38−57 is ___ than - 3

Answer» Question 38

57 is ___ than - 3
5235.

Which of the following angles (in degree) cannot be constructed using compass and ruler?

Answer»

Which of the following angles (in degree) cannot be constructed using compass and ruler?



5236.

Find four rational numbers between 1/4 and 1/5

Answer»

Find four rational numbers between 1/4 and 1/5

5237.

Find out the difference of the squares of the number of line symmetries in a regular pentagon and a rectangle.

Answer» Find out the difference of the squares of the number of line symmetries in a regular pentagon and a rectangle.
5238.

The angles of a triangle are in the ratio 2:4:3, then the smallest angle(in degrees) is , while the largest angle(in radians) is

Answer»

The angles of a triangle are in the ratio 2:4:3, then the smallest angle(in degrees) is , while the largest angle(in radians) is

5239.

What do we get on adding 5 on both sides of the equation x+5=10?

Answer»

What do we get on adding 5 on both sides of the equation x+5=10?

5240.

Match each of the entries in Column I with the appropriate entries in Column II. Column I Column IISp when CP=Rs.50 and loss = 6% G. 116

Answer»

Match each of the entries in Column I with the appropriate entries in Column II.
Column I Column IISp when CP=Rs.50 and loss = 6% G. 116

5241.

[(-3) + 6] ÷ [(-3) + 3] =

Answer»

[(-3) + 6] ÷ [(-3) + 3] =



5242.

Natalie is placing 18 checkers into different stacks. She has 9 checkers in each stack. How many stacks will she have?2

Answer» Natalie is placing 18 checkers into different stacks. She has 9 checkers in each stack. How many stacks will she have?
  1. 2
5243.

ab99-9799+97= ___________.

Answer» ab99-9799+97= ___________.
5244.

73. A child needs to paint a die . Find the cost of painting the die whose edge measures 14 mm , at the rate of rs 24 per m sq

Answer» 73. A child needs to paint a die . Find the cost of painting the die whose edge measures 14 mm , at the rate of rs 24 per m sq
5245.

In the above figure,(i) represents a/an ___,(ii) represents a/an ___ and(iii) represents a/an ___.

Answer»



In the above figure,

(i) represents a/an ___,

(ii) represents a/an ___ and

(iii) represents a/an ___.



5246.

A shopkeeper sold two baseball bats whose cost price is ₹2000 each. If he makes a profit of 15% on one bat and a loss of 5% on the other bat, then find the overall gain or loss.

Answer»

A shopkeeper sold two baseball bats whose cost price is ₹2000 each. If he makes a profit of 15% on one bat and a loss of 5% on the other bat, then find the overall gain or loss.


5247.

Make eighths from fourths of a bubble gum.

Answer»

Make eighths from fourths of a bubble gum.


5248.

From each corner of a square of side 4cm, a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in the figure. Find the area of the remaining portion of the square. [2 MARKS]

Answer»

From each corner of a square of side 4cm, a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in the figure. Find the area of the remaining portion of the square. [2 MARKS]



i



5249.

In a survey of 200 ladies, it was found that 82 like coffee while 118 dislike it. From these ladies, one is choosen at random. What is the probability that the chosen lady dislikes coffee?

Answer» In a survey of 200 ladies, it was found that 82 like coffee while 118 dislike it. From these ladies, one is choosen at random. What is the probability that the chosen lady dislikes coffee?
5250.

Median of 11, 10, 12, 4, 9, 18, 6 is ______ .

Answer»

Median of 11, 10, 12, 4, 9, 18, 6 is ______ .