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2451.

-X2 Y -x + 3xy +3

Answer» -X2 Y -x + 3xy +3
2452.

Choose the object whose top view, front view, and side view are the same.

Answer»

Choose the object whose top view, front view, and side view are the same.

2453.

State whether the distance is a scalar or a vector quantity.

Answer»

State whether the distance is a scalar or a vector quantity.



2454.

In a squared sheet, draw two triangles of equal areas such that(i) The triangles are congruent.(ii) The triangles are not congruent.What can you say about their perimeters?

Answer»

In a squared sheet, draw two triangles of equal areas such that



(i) The triangles are congruent.



(ii) The triangles are not congruent.



What can you say about their perimeters?

2455.

In the adjacent figure, △ ABC, D is the midpoint of BC. DE⊥ AB, DF⊥ AC and DE = DF. Show that △ BED ≅△ CFD

Answer» In the adjacent figure, ABC, D is the midpoint of BC. DE AB, DF AC and DE = DF. Show that BED CFD


2456.

Pass Journal entries for the following:(a) Realisation expenses amounted to ₹ 10,000 were paid by the firm on behalf of Alok, a partner, with whom it was agreed at ₹ 7,500.(b) Realisation expenses amounted to ₹ 5,000. It was agreed that the firm will pay ₹ 2,000 and balance by Ravinder, a partner.(c) Dissolution expenses amounted to ₹ 10,000 were paid by Amit, a partner, on behalf of the firm.

Answer» Pass Journal entries for the following:

(a) Realisation expenses amounted to ₹ 10,000 were paid by the firm on behalf of Alok, a partner, with whom it was agreed at ₹ 7,500.

(b) Realisation expenses amounted to ₹ 5,000. It was agreed that the firm will pay ₹ 2,000 and balance by Ravinder, a partner.

(c) Dissolution expenses amounted to ₹ 10,000 were paid by Amit, a partner, on behalf of the firm.
2457.

Simplify: a−4 × b3 × c5 × d−7a−7 × b−3 × c2 × d−9

Answer»

Simplify: a4 × b3 × c5 × d7a7 × b3 × c2 × d9


2458.

find out which of the following figures exhibit rotational symmetry?

Answer»

find out which of the following figures exhibit rotational symmetry?





2459.

AB is a line segment which is 8 cm long. CD and EF are parallel to AB, at a distance of 4 cm from it. GH is a line segment parallel to AB, at a distance of 2 cm from it. PQ is the perpendicular bisector of AB which intersects CD, GH, AB and EF at M, N, O and P respectively. The point/s which is/are always at a distance of 4 cm from the line AB and equidistant from A and B is/are

Answer»

AB is a line segment which is 8 cm long. CD and EF are parallel to AB, at a distance of 4 cm from it. GH is a line segment parallel to AB, at a distance of 2 cm from it. PQ is the perpendicular bisector of AB which intersects CD, GH, AB and EF at M, N, O and P respectively.





The point/s which is/are always at a distance of 4 cm from the line AB and equidistant from A and B is/are



2460.

Write a Pythagorean Triplet whose one member is:16

Answer»

Write a Pythagorean Triplet whose one member is:



16



2461.

6561 in exponent notation is :

Answer»

6561 in exponent notation is :


2462.

If b is the mean proportion between 3 and 9 , b value is :

Answer»

If b is the mean proportion between 3 and 9 , b value is :


2463.

Question 44In the following question, fill in the blanks to make the statements true.[4−1+3−1+6−2]−1=___

Answer»

Question 44



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



[41+31+62]1=___



2464.

What is the sign of alpha?

Answer» What is the sign of alpha?
2465.

A truck loaded with toys travels a distance of 14 miles in 25 minutes. With the same speed the truck can travel miles in 75 minutes.

Answer»

A truck loaded with toys travels a distance of 14 miles in 25 minutes. With the same speed the truck can travel miles in 75 minutes.

2466.

Which of the following pair of angles are complementary angles ?

Answer»

Which of the following pair of angles are complementary angles ?

2467.

What is the area of a circle that is inscribed in a square of side 4 m?

Answer»

What is the area of a circle that is inscribed in a square of side 4 m?

2468.

Question 1 (d) Convert the given fractional numbers to per cents. d) 27

Answer» Question 1 (d)
Convert the given fractional numbers to per cents.
d) 27
2469.

40 chairs are to be arranged in an auditorium in rows and columns. What are different types of arrangements possible?

Answer» 40 chairs are to be arranged in an auditorium in rows and columns. What are different types of arrangements possible?
2470.

Question 89 (iv)Factorise the following, using the identity, a2+2ab+b2=(a+b)2x2+2x+1

Answer» Question 89 (iv)



Factorise the following, using the identity, a2+2ab+b2=(a+b)2



x2+2x+1
2471.

The sum of the rational numbers −819 and −457 is _____.

Answer»

The sum of the rational numbers 819 and 457 is _____.

2472.

Mark the correct alternative in each of the following:-102119 in standard form is(a) -67 (b) 67 (c) -617 (d) None of these

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



-102119 in standard form is



(a) -67 (b) 67 (c) -617 (d) None of these
2473.

Events are said to be events if the outcome of the second event depends on the outcome of the first event.

Answer» Events are said to be events if the outcome of the second event depends on the outcome of the first event.
2474.

A cube was painted blue on all sides and cut into 125 equal cubes.how many cubes had one face painted?how many cubes had two faces painted?how many cubes had three faces painted?how many cubes had no face painted?how many cubes had five faces painted?

Answer» A cube was painted blue on all sides and cut into 125 equal cubes.
how many cubes had one face painted?
how many cubes had two faces painted?
how many cubes had three faces painted?
how many cubes had no face painted?
how many cubes had five faces painted?
2475.

Which of the following is the quotient Law of indices?

Answer»

Which of the following is the quotient Law of indices?


2476.

A rope is (3x + 3) metres long. Another rope of (3x – 8) metres is attached to it. What is the total length of the two ropes together?

Answer»

A rope is (3x + 3) metres long. Another rope of (3x – 8) metres is attached to it.

What is the total length of the two ropes together?


2477.

Question 75 In the given figure PQ|| RS, TR|| QU and ∠PTR=42∘. Find ∠QUR.

Answer»

Question 75

In the given figure PQ|| RS, TR|| QU and PTR=42. Find QUR.

2478.

If AB and CD are parallel, find the measure of angle x

Answer»

If AB and CD are parallel, find the measure of angle x


2479.

Q71. If a mirror is placed on the line MN, then which of the answer figures is the mirror image of the given question figure? यदि रेखा MN पर एक दर्पण को रखा जाता है, तो कौन-सी उत्तर आकृति दी गई प्रश्न आकृति की दर्पण छवि है? प्रश्न आकृतिः

Answer»

Q71. If a mirror is placed on the line MN, then which of the answer figures is the mirror image of the given question figure?

यदि रेखा MN पर एक दर्पण को रखा जाता है, तो कौन-सी उत्तर आकृति दी गई प्रश्न आकृति की दर्पण छवि है?

प्रश्न आकृतिः


2480.

X and Y are partners in a firm. X is entitled to a salary of ₹ 10,000 per month and commission of 10% of the net profit after partners' salaries but before charging commission. Y is entitled to a salary of ₹ 25,000 p.a. and commission of 10% of the net profit after charging all commission and partners' salaries. Net profit before providing for partners' salaries and commission for the year ended 31st March, 2019 was ₹ 4,20,000. Show distribution of profit.

Answer» X and Y are partners in a firm. X is entitled to a salary of ₹ 10,000 per month and commission of 10% of the net profit after partners' salaries but before charging commission. Y is entitled to a salary of ₹ 25,000 p.a. and commission of 10% of the net profit after charging all commission and partners' salaries. Net profit before providing for partners' salaries and commission for the year ended 31st March, 2019 was ₹ 4,20,000. Show distribution of profit.
2481.

Find the values of:

Answer»

Find the values of:



2482.

{\cdot Let }A=\{1,2\},B=\{1,2,3,4\},C=\{5,6\} and }D=\{5,6,7,8\}. Verify that }}{ (i) }A×(B∩ C)=(A× B)∩(A× C) . (ii) }A× C is a subset of }B× D .

Answer» {\cdot Let }A=\{1,2\},B=\{1,2,3,4\},C=\{5,6\} and }D=\{5,6,7,8\}. Verify that }}{ (i) }A×(B∩ C)=(A× B)∩(A× C) . (ii) }A× C is a subset of }B× D .
2483.

At a school, some students like Physics, some like Mathematics and some like both the subjects. Then, choose the best representation of the scenario using venn diagrams.

Answer»

At a school, some students like Physics, some like Mathematics and some like both the subjects. Then, choose the best representation of the scenario using venn diagrams.

2484.

Let f:R→R be a function such that f(x)=x3+x2f′(1)+xf′′(2)+f′′′(3), then f(2) equals to

Answer»

Let f:RR be a function such that f(x)=x3+x2f(1)+xf(2)+f(3), then f(2) equals to

2485.

Question 27Fill in the blanks to make the statement true.The given net can be folded to make a ___ .

Answer»

Question 27



Fill in the blanks to make the statement true.



The given net



can be folded to make a ___ .



2486.

Shri S. K. Gupta, Chandigarh commenced business on 1st April, 2018 with a capital of ₹ 1,20,000 of which ₹ 60,000 was paid into his Bank Account and ₹ 60,000 retained as cash . His other transactions during the month were as follows: 2018 ₹ April 2 Bought office furniture 20,000 April 5 Purchased goods 16,000 April 8 Purchased goods from Ramesh, Chandigarh 11,000 April 12 Sold goods to Sameer, Delhi 21,000 April 13 Purchased stationery for cash 1,800 April 13 Paid to Ramesh in cash* 10,000 Discount allowed by him* 1,000 April 17 Withdrawn cash for office use* 4,000 April 18 Sen of Chandigarh sold goods to S.K. Gupta 30,000 April 19 Cash received from Sameer* 20,000 Allowed him discount* 1,000 April 20 Sold to Raj Banwari, Delhi 40,000 April 28 Cash sales 1,400 April 30 Paid salary by cheque* 8,000 April 30 Paid rent by cheque 5,000 April 30 Paid telephone expenses by cheque 2,000 April 30 Paid cash into bank* 2,000 Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).Journalise the above transactions and post them to the Ledger.

Answer» Shri S. K. Gupta, Chandigarh commenced business on 1st April, 2018 with a capital of ₹ 1,20,000 of which ₹ 60,000 was paid into his Bank Account and ₹ 60,000 retained as cash . His other transactions during the month were as follows:




































































































2018
April 2 Bought office furniture 20,000
April 5 Purchased goods 16,000
April 8 Purchased goods from Ramesh, Chandigarh 11,000
April 12 Sold goods to Sameer, Delhi 21,000
April 13 Purchased stationery for cash 1,800
April 13 Paid to Ramesh in cash* 10,000
Discount allowed by him* 1,000
April 17 Withdrawn cash for office use* 4,000
April 18 Sen of Chandigarh sold goods to S.K. Gupta 30,000
April 19 Cash received from Sameer* 20,000
Allowed him discount* 1,000
April 20 Sold to Raj Banwari, Delhi 40,000
April 28 Cash sales 1,400
April 30 Paid salary by cheque* 8,000
April 30 Paid rent by cheque 5,000
April 30 Paid telephone expenses by cheque 2,000
April 30 Paid cash into bank* 2,000



Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).

Journalise the above transactions and post them to the Ledger.
2487.

What is the time taken by a scooter travelling at 50 km/hr to cover a distance of 200 km.

Answer»

What is the time taken by a scooter travelling at 50 km/hr to cover a distance of 200 km.

2488.

Which of the following experiments does NOT have equally likely outcomes?

Answer»

Which of the following experiments does NOT have equally likely outcomes?


2489.

Change the statements, converting expressions into statements in ordinary language:Question 75A pencil costs Rs. p and a pen costs Rs. 5 p

Answer»

Change the statements, converting expressions into statements in ordinary language:



Question 75



A pencil costs Rs. p and a pen costs Rs. 5 p



2490.

Arectangular sheet of paper is cmlong and cmwide.Find itsperimeter.

Answer»

A
rectangular sheet of paper is
cm
long and
cm
wide.


Find its
perimeter.

2491.

Choose the correct option in the transaction:Cost Price = ₹ 1235 and Selling Price = ₹1638

Answer»

Choose the correct option in the transaction:



Cost Price = ₹ 1235 and Selling Price = ₹1638



2492.

Find the total surface area of a cuboid whose length, breadth, and height are 1 m,3 m, and 5 m, respectively.

Answer»

Find the total surface area of a cuboid whose length, breadth, and height are 1 m,3 m, and 5 m, respectively.

2493.

The probability that at least one of the events A and B occur is 0.6. If A and B occur simultaneously with probability 0.2, then P(A) + P(B)=(a) 0.4 (b) 0.8 (c) 1.2 (d) 1.6

Answer» The probability that at least one of the events A and B occur is 0.6. If A and B occur simultaneously with probability 0.2, then P(A) + P(B)=

(a) 0.4

(b) 0.8

(c) 1.2

(d) 1.6
2494.

What shape is (a) Your instrument box? (b) A brick? (c) A match box? (d) A road-roller? (e) A sweet laddu?

Answer»

What shape
is



(a) Your
instrument box? (b) A brick?



(c) A
match box? (d) A road-roller?



(e) A
sweet laddu?

2495.

Question 93Solve the following:If 12 is substracted from a number and the difference is multiplied by 4. the result is 5. What is the number?

Answer»

Question 93



Solve the following:



If 12 is substracted from a number and the difference is multiplied by 4. the result is 5. What is the number?



2496.

Question 105 A body floats 29 of its volume above the surface. What is the ratio of the body submerged volume to its exposed volume? Rewrite it as a rational number.

Answer»

Question 105

A body floats 29 of its volume above the surface. What is the ratio of the body submerged volume to its exposed volume? Rewrite it as a rational number.

2497.

Question 1(f):From the figure, identify:A point in the exterior.

Answer»

Question 1(f):



From the figure, identify:

A point in the exterior.







2498.

Express the following numbers in Roman number system. (a) 46 (b) 564 (c) 1,257

Answer»

Express the following numbers in Roman number system.



(a) 46



(b) 564



(c) 1,257

2499.

Which of the following has only 2 lines of symmetry?(a) Equilateral triangle(b) Rhombus(c) Circle(d) None of these of rotation

Answer» Which of the following has only 2 lines of symmetry?

(a) Equilateral triangle

(b) Rhombus

(c) Circle

(d) None of these of rotation
2500.

The number equivalent to 'X + XXV' is _______.35

Answer» The number equivalent to 'X + XXV' is _______.
  1. 35