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9801.

Using the information given in the figure, the values of x and y are __

Answer»

Using the information given in the figure, the values of x and y are __




9802.

Evaluate (a) 5! (b) 2! + 1! + 0! (c) 5P3

Answer»

Evaluate



(a) 5!



(b) 2! + 1! + 0!



(c) 5P3

9803.

Question 8If a man standing on a platform 3m above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.

Answer» Question 8

If a man standing on a platform 3m above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.

9804.

Express each of the following fractions as a percentage. a) 325b) 56

Answer» Express each of the following fractions as a percentage.

a) 325

b) 56
9805.

Solve for x. x+4x−2=47

Answer»

Solve for x.
x+4x2=47


9806.

How do we get a raised m divide by a raised to n gives a answer a raised to m-n?

Answer» How do we get a raised m divide by a raised to n gives a answer a raised to m-n?
9807.

69. In a right angled triangle ABC right angled at C, AC is perpendicular to BC and CD is perpendicular to AB . Prove that

Answer» 69. In a right angled triangle ABC right angled at C, AC is perpendicular to BC and CD is perpendicular to AB . Prove that
9808.

The area of a circle is given by the expression-(πx²+10πx+25π)Find the radius of the circle.

Answer» The area of a circle is given by the expression-
(πx²+10πx+25π)
Find the radius of the circle.
9809.

Angles of a triangle are in the ratio 2 : 4 : 3. The measure of the smallest angle of the triangle is ________.

Answer» Angles of a triangle are in the ratio 2 : 4 : 3. The measure of the smallest angle of the triangle is ________.
9810.

A race track is in the form of a ring whose inner circumference is 352 m, and the outer the circumference is 396 m. Find the width of the track.

Answer» A race track is in the form of a ring whose inner circumference is 352 m, and the outer the circumference is 396 m. Find the width of the track.
9811.

While travelling to their aunt’s place, Rina and Tina saw a milestone which read ‘Bangalore 34.6745 km’. They were curious to know what that meant and asked their dad. He told them that it’s the distance left to reach Bangalore. Choose the correct inference(s) made by the twins.

Answer»

While travelling to their aunt’s place, Rina and Tina saw a milestone which read ‘Bangalore 34.6745 km’. They were curious to know what that meant and asked their dad. He told them that it’s the distance left to reach Bangalore. Choose the correct inference(s) made by the twins.



9812.

Which of the following is an oblique sketch of a cube of edge 4 cm?

Answer»

Which of the following is an oblique sketch of a cube of edge 4 cm?

9813.

Find all (p,q, r) ∈ N × N × N such that 1

Answer» Find all (p,q, r) ∈ N × N × N such that 1

9814.

Simplify: (i) 2 × 103 (ii) 72 × 22 (iii) 23 × 5 (iv) 3 × 44 (v) 0 × 102 ­­­­­ (vi) 52 × 33 (vii) 24 × 32 (viii) 32 × 104

Answer»

Simplify:



(i) 2 ×
103 (ii) 72 ×
22



(iii) 23
× 5 (iv) 3 ×
44



(v) 0 ×
102 ­­­­­ (vi) 52
× 33



(vii) 24
× 32 (viii) 32
× 104

9815.

Identify the common noun in the sentence. The trains on the central line have been running late.

Answer»

Identify the common noun in the sentence.

The trains on the central line have been running late.


9816.

In the given figure, ABC is an isosceles triangle with AB = AC, so what will be the measure of x?

Answer» In the given figure, ABC is an isosceles triangle with AB = AC, so what will be the measure of x?


9817.

In the adjoining figure, the measure of angle a is 50o, what is the measure of angle d?

Answer»

In the adjoining figure, the measure of angle a is 50o, what is the measure of angle d?


9818.

Teacher needs two students to help him with a science experiment for his class of 10 girls and 10 boys. He randomly picks two students one by one. What is the probability of choosing a boy then a girl?

Answer»

Teacher needs two students to help him with a science experiment for his class of 10 girls and 10 boys. He randomly picks two students one by one. What is the probability of choosing a boy then a girl?

9819.

Question 92Express 3−5×3−4 as a power of 3 with positive exponent.

Answer»

Question 92





Express 35×34 as a power of 3 with positive exponent.



9820.

On 1st July, 2017, A drew a bill for ₹ 5,000 on B payable after 3 months. A discounted it with the Bank for ₹ 4,850. On maturity B failed to pay the amount of his acceptance and the bank had to pay ₹ 50 as noting charges.Draw up the necessary Journal entries in the books of A and B.

Answer» On 1st July, 2017, A drew a bill for ₹ 5,000 on B payable after 3 months. A discounted it with the Bank for ₹ 4,850. On maturity B failed to pay the amount of his acceptance and the bank had to pay ₹ 50 as noting charges.

Draw up the necessary Journal entries in the books of A and B.
9821.

Fill in the blank with the appropriate question tag. We don’t have to write the report, _____?

Answer»

Fill in the blank with the appropriate question tag.

We don’t have to write the report, _____?


9822.

Let (1,−2) and (−3,4) are two vertices of a triangle whose centroid lies on the line x+3y=4, then locus of third vertex of the triangle is

Answer»

Let (1,2) and (3,4) are two vertices of a triangle whose centroid lies on the line x+3y=4, then locus of third vertex of the triangle is

9823.

Écoutez les phrases et cochez la bonne réponse.

Answer» Écoutez les phrases et cochez la bonne réponse.
9824.

Now, everybody seemed to be happy with your proposed solution except one dwarf. He stood and then asked, 'I have understood everything but why have you given '0' a different colour?' You were about to answer to his question when Shubhlin stopped you and told: I will answer your question sir. '0' is coloured differently because it is-

Answer»

Now, everybody seemed to be happy with your proposed solution except one dwarf. He stood and then asked, 'I have understood everything but why have you given '0' a different colour?' You were about to answer to his question when Shubhlin stopped you and told: I will answer your question sir. '0' is coloured differently because it is-


9825.

Mark the correct alternative in each of the following:413-213=(a) 213 (b) 2 (c) 313 (d) 12

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



413-213=



(a) 213 (b) 2 (c) 313 (d) 12
9826.

Make an oblique sketchfor each one of the given isometric shapes:

Answer»

Make an oblique sketch
for each one of the given isometric shapes:




9827.

29.Set A: contains 13 elements and set B: contains 9 element ,than find total number of onto function from set A to setB?

Answer» 29.Set A: contains 13 elements and set B: contains 9 element ,than find total number of onto function from set A to setB?
9828.

The steps to construct 75∘ angle is given below. Arrange these steps in the correct sequence. 1. At the point O, draw an angle AOE = 60∘. 2. Bisect the ∠DOE. 3. Draw an angle AOD = 90∘ at a point O on the line segment OA.

Answer»

The steps to construct 75 angle is given below. Arrange these steps in the correct sequence.

1. At the point O, draw an angle AOE = 60.

2. Bisect the ∠DOE.

3. Draw an angle AOD = 90 at a point O on the line segment OA.


9829.

A Scalene triangle has how many lines of symmetry?

Answer» A Scalene triangle has how many lines of symmetry?
9830.

2 multiplied by itself ten times, when written in the exponential form is .

Answer»

2 multiplied by itself ten times, when written in the exponential form is .

9831.

Pop the fractional numbers whose denominator can be converted to the power of 10.

Answer»

Pop the fractional numbers whose denominator can be converted to the power of 10.

9832.

Write the squares of:(1) 3(2) −5(3) +4(4) −2(5) +6(6) (7) (8)

Answer»

Write the squares of:



(1) 3



(2) −5



(3) +4



(4) −2



(5) +6



(6)



(7)



(8)

9833.

Square root of 8836

Answer» Square root of 8836
9834.

In the figure below, x=30∘. The value of (6y–3x) is ___.

Answer»

In the figure below, x=30.

The value of (6y3x) is ___.


9835.

Question 162Find the values of x and y in the following kite.

Answer» Question 162

Find the values of x and y in the following kite.


9836.

Sunita sold a bangle for Rs. 4500 and lost 10%. For how much should she have sold it to gain 20%.

Answer»

Sunita sold a bangle for Rs. 4500 and lost 10%. For how much should she have sold it to gain 20%.

9837.

The weekly wages of 30 workers in a factory are:830, 835, 890, 810, 835, 836, 869, 845, 898, 820, 860, 832, 833, 855, 845, 804,808, 812 ,840 ,885, 835, 835, 836, 878, 840, 868, 890, 806, 840.Using tally marks, make a frequency table with intervals as 800 – 810, 810 – 820 and so on. Also, draw a histogram for the frequency table and find which group has the maximum number of workers?

Answer» The weekly wages of 30 workers in a factory are:

830, 835, 890, 810, 835, 836, 869, 845, 898, 820, 860, 832, 833, 855, 845, 804,

808, 812 ,840 ,885, 835, 835, 836, 878, 840, 868, 890, 806, 840.

Using tally marks, make a frequency table with intervals as 800 – 810, 810 – 820 and so on. Also, draw a histogram for the frequency table and find which group has the maximum number of workers?
9838.

A store manager recorded his stock of shoes in terms of style and size.Which size of footwear is the most common in the store ?

Answer»

A store manager recorded his stock of shoes in terms of style and size.

Which size of footwear is the most common in the store ?

9839.

two balance dice are thrown once. Write down all possible outcomes of thisexperiment.What is the probability that(1) The product of number obtained on upper face of both dice is even number.(2)The sum of numbers on both the dice is a prime number.C

Answer» two balance dice are thrown once. Write down all possible outcomes of thisexperiment.What is the probability that(1) The product of number obtained on upper face of both dice is even number.(2)The sum of numbers on both the dice is a prime number.C
9840.

Mark the correct alternative in each of the following:9×-13×-3×-19=(a) 1 (b) −1 (c) −3 (d) 3

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



9×-13×-3×-19=



(a) 1 (b) −1 (c) −3 (d) 3
9841.

Mark the correct alternative in the following question:​What should be added to xy + yz + zx to get -xy - yz - zx?(a) -2xy - 2yz - 2zx (b) -3xy - yz - zx (c) -3xy - 3yz - 3zx ​ (d) 2xy + 2yz + 2zx

Answer» Mark the correct alternative in the following question:



​What should be added to xy + yz + zx to get -xy - yz - zx?



(a) -2xy - 2yz - 2zx (b) -3xy - yz - zx (c) -3xy - 3yz - 3zx ​ (d) 2xy + 2yz + 2zx
9842.

School got over and George went back home, had lunch and started the best part of his day. Yes, VIDEO GAMES! But there was something different now. Instead of looking at his score, the number of levels etc. as numbers, he was looking at them as Integers. In the game Ted was playing, he has to earn coins. If he gets a gold coin, he gains 20 points, but if by mistake he gets hold of a red coin, he loses 5 points. Suppose he got 29 gold coins and 17 red coins, what’s his total score?

Answer»

School got over and George went back home, had lunch and started the best part of his day. Yes, VIDEO GAMES!

But there was something different now. Instead of looking at his score, the number of levels etc. as numbers, he was looking at them as Integers. In the game Ted was playing, he has to earn coins. If he gets a gold coin, he gains 20 points, but if by mistake he gets hold of a red coin, he loses 5 points. Suppose he got 29 gold coins and 17 red coins, what’s his total score?


9843.

If the length, breadth and height of a cuboid are in ratio 3: 4: 4 and its volume is 48000 cm3 then find the length, breadth and height of the cuboid.

Answer»

If the length, breadth and height of a cuboid are in ratio 3: 4: 4 and its volume is 48000 cm3 then find the length, breadth and height of the cuboid.


9844.

Question 9 A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall.

Answer» Question 9
A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall.
9845.

Question 14Simplify(i)(13+23+33)12(ii)(35)4(85)−12(325)6(iii)(127)−23(iv)⎡⎣((625)−12)−14⎤⎦2(v)913×27−12316×3−23(vi)64−13[6413−6423](vii)813×161332−13

Answer» Question 14

Simplify

(i)(13+23+33)12(ii)(35)4(85)12(325)6(iii)(127)23(iv)((625)12)142(v)913×2712316×323

(vi)6413[64136423](vii)813×16133213


9846.

Pair the angles with the possible lengths (cm) of the sides for the given triangle.

Answer»

Pair the angles with the possible lengths (cm) of the sides for the given triangle.
9847.

The probability of any event E must be less than or equal to

Answer» The probability of any event E must be less than or equal to
9848.

Arrange the rational numbers−710,5−8,2−3,−14,−35 in ascending order.

Answer» Arrange the rational numbers710,58,23,14,35 in ascending order.
9849.

What should be added to (12+13+15) to get 3?

Answer»

What should be added to (12+13+15) to get 3?

9850.

Prepare a Trading and Profit & Loss account for the year ending March 31, 2018, from the balances extracted of M/s Rahul Sons. Also prepare a balance sheet as at that date. Debit Balances ₹ Credit Balances ₹ Stock 50,000 Sales 1,80,000 Wages 3,000 Purchase return 2,000 Salary 8,000 Discount received 500 Purchases 1,75,000 Provision for bad debts 2,500 Sales Return 3,000 Capital 2,90,000 S. Debtors 82,000 Bills Payable 22,000 Discount allowed 1,000 Commission received 4,000 Insurance 3,200 Rent 6,000 Rent, rates and taxes 4,300 Loan 34,800 Fixtures and fittings 20,000 Output CGST 15,000 Trade Expenses 1,500 Output SGST 15,000 Bad debts 2,000 Drawings 32,000 Repair and renewals 1,600 Travelling expenses 4,200 Postage 500 Legal fees 500 Bills Receivable 50,000 Building 1,10,000 Input CGST 10,000 Input SGST 10,000 5,71,800 5,71,800 Adjustments :-(i) Commission received in advance ₹ 1,000.(ii) Rent receivable ₹ 2,000, subject to levy of CGST and SGST 9% each.(iii) Salary outstanding ₹ 1,000 and insurance prepaid ₹ 800.(iv) Further Bad-debts ₹ 1,000 and provision for Bad-debts 5% on debtors and provision for discount on debtors 2%.(v) Closing Stock ₹ 32,000.(vi) Depreciation on Building 6% p.a.

Answer» Prepare a Trading and Profit & Loss account for the year ending March 31, 2018, from the balances extracted of M/s Rahul Sons. Also prepare a balance sheet as at that date.


















































































































































Debit Balances Credit Balances
Stock 50,000 Sales 1,80,000
Wages 3,000 Purchase return 2,000
Salary 8,000 Discount received 500
Purchases 1,75,000 Provision for bad debts 2,500
Sales Return 3,000 Capital 2,90,000
S. Debtors 82,000 Bills Payable 22,000
Discount allowed 1,000 Commission received 4,000
Insurance 3,200 Rent 6,000
Rent, rates and taxes 4,300 Loan 34,800
Fixtures and fittings 20,000 Output CGST 15,000
Trade Expenses 1,500 Output SGST 15,000
Bad debts 2,000
Drawings 32,000
Repair and renewals 1,600
Travelling expenses 4,200
Postage 500
Legal fees 500
Bills Receivable 50,000
Building 1,10,000
Input CGST 10,000
Input SGST 10,000
5,71,800 5,71,800



Adjustments :-

(i) Commission received in advance ₹ 1,000.

(ii) Rent receivable ₹ 2,000, subject to levy of CGST and SGST 9% each.

(iii) Salary outstanding ₹ 1,000 and insurance prepaid ₹ 800.

(iv) Further Bad-debts ₹ 1,000 and provision for Bad-debts 5% on debtors and provision for discount on debtors 2%.

(v) Closing Stock ₹ 32,000.

(vi) Depreciation on Building 6% p.a.