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5551.

And then your smart sister said that the theatre screen is flat too. Then your dad asked if you guys remember wearing glasses while watching that movie. Then you both realized that the glasses gave the movie a ______ dimensional effect.

Answer»

And then your smart sister said that the theatre screen is flat too. Then your dad asked if you guys remember wearing glasses while watching that movie. Then you both realized that the glasses gave the movie a ______ dimensional effect.


5552.

What is the square root of 400?

Answer»

What is the square root of 400?


5553.

In the given figure, BC⊥AB,AD⊥AB,BC=4,AD=8, then find A(ΔABC)A(ΔADB).

Answer»

In the given figure, BCAB,ADAB,BC=4,AD=8, then find A(ΔABC)A(ΔADB).

5554.

If ∠AOB=35∘ and ∠PQR are complementary, then ∠PQR=.

Answer»

If AOB=35 and PQR are complementary, then PQR=.
5555.

If a number ends with n zeroes, what is the number of trailing zeroes in the square of the number?

Answer»

If a number ends with n zeroes, what is the number of trailing zeroes in the square of the number?


5556.

बालगोबिन भगत की दिनचर्या लोगों के अचरज का कारण क्यों थी?

Answer»

बालगोबिन
भगत
की
दिनचर्या
लोगों
के
अचरज
का
कारण
क्यों
थी
?

5557.

Sum of all the angles on a straight line is:

Answer»

Sum of all the angles on a straight line is:



5558.

Let a>0,and let P(x) be a polynomial with integer coefficients such that P(1)=P(3)=P(5)=P(7)=a , and P(2)=P(4)=P(6)=P(8)=-a. The smallest possible value of a =5× Q. what is Q

Answer» Let a>0,and let P(x) be a polynomial with integer coefficients such that P(1)=P(3)=P(5)=P(7)=a , and P(2)=P(4)=P(6)=P(8)=-a. The smallest possible value of a =5× Q. what is Q
5559.

Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ________.

Answer» Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ________.
5560.

Following transactions of Ramesh for April, 2019 are given below. Journalise them. 2019 ₹ April 1 Ramesh started business with cash 1,00,000 April 2 Paid into bank 20,000 April 3 Bought goods for cash 50,000 April 4 Drew cash from bank for office use 10,000 April 13 Sold goods to Krishna 15,000 April 20 Bought goods from Shyam 22,500 April 22 Krishna returned goods 2,000 April 24 Received from Krishna 12,500 Allowed him discount 500 April 28 Paid cash to Shyam 21,500 Discount received 1,000 April 30 Cash sales for the month 80,000 April 30 Paid rent 5,000 April 30 Paid salary 10,000

Answer» Following transactions of Ramesh for April, 2019 are given below. Journalise them.





















































































2019
April 1 Ramesh started business with cash 1,00,000
April 2 Paid into bank 20,000
April 3 Bought goods for cash 50,000
April 4 Drew cash from bank for office use 10,000
April 13 Sold goods to Krishna 15,000
April 20 Bought goods from Shyam 22,500
April 22 Krishna returned goods 2,000
April 24 Received from Krishna 12,500
Allowed him discount 500
April 28 Paid cash to Shyam 21,500
Discount received 1,000
April 30 Cash sales for the month 80,000
April 30 Paid rent 5,000
April 30 Paid salary 10,000
5561.

13. Number of ways in which 4 people can be selected out of 10 people in a row in such a way that exactly 2 persons are consecutive? Option: 105, 75, 11, 91

Answer» 13. Number of ways in which 4 people can be selected out of 10 people in a row in such a way that exactly 2 persons are consecutive? Option: 105, 75, 11, 91
5562.

Write the co-efficient as indicated below:1. In 27 abc(a) The numerical co-efficient of abc ________.(b) Algebraic co-efficient of 27 ab ________.(c) Algebraic co-efficient of 27 ac _______.(d) Algebraic co-efficient of 27 bc _______.(e) Algebraic co-efficient of 27 _______.2. In (a) Numerical co-efficient of xy2z _______.(b) Algebraic co-efficient of_______.(c) Algebraic co-efficient of_______.(d) Algebraic co-efficient of_______.(e) Algebraic co-efficient of_______.

Answer»

Write the co-efficient as indicated below:



1. In 27 abc



(a) The numerical co-efficient of abc ________.



(b) Algebraic co-efficient of 27 ab ________.



(c) Algebraic co-efficient of 27 ac _______.



(d) Algebraic co-efficient of 27 bc _______.



(e) Algebraic co-efficient of 27 _______.



2. In



(a) Numerical co-efficient of xy2z _______.



(b) Algebraic co-efficient of_______.



(c) Algebraic co-efficient of_______.



(d) Algebraic co-efficient of_______.



(e) Algebraic co-efficient of_______.

5563.

The factorization of a number is 2×2×6×9×24. Is this number a perfect square? Answer in Yes/ No.

Answer» The factorization of a number is 2×2×6×9×24. Is this number a perfect square? Answer in Yes/ No.




5564.

What is the value of -5 raised to the power of 2?

Answer»

What is the value of -5 raised to the power of 2?



5565.

State, true or false:(i) product of two different integers can be zero.(ii) product of 120 negative integers and 121 positive integers is negative.(iii) a × (b + c) = a × b + c(iv) (b – c) × a = b – c × a.

Answer»

State, true or false:



(i) product of two different integers can be zero.



(ii) product of 120 negative integers and 121 positive integers is negative.



(iii) a × (b + c) = a × b + c



(iv) (b – c) × a = b – c × a.



5566.

How to prove that vertically opposite angles are equal

Answer» How to prove that vertically opposite angles are equal
5567.

if 1 degree celsius is 33.8 degree fahrenheit , then how can 37 degree celsius be 98 degree fahrenheit ? Wont it be 37*33.8=1250.6 degree fahrenheit?

Answer» if 1 degree celsius is 33.8 degree fahrenheit , then how can 37 degree celsius be 98 degree fahrenheit ? Wont it be 37*33.8=1250.6 degree fahrenheit?
5568.

If 27 of 14 apples are spoilt, then how many are left?

Answer»

If 27 of 14 apples are spoilt, then how many are left?



5569.

For the ΔPQR,PA is the angle bisector of ∠P, then AR=

Answer» For the ΔPQR,PA is the angle bisector of P, then AR=
5570.

Question 2(iii)Write the additive inverse of each of the following:−6−5

Answer» Question 2(iii)

Write the additive inverse of each of the following:

65
5571.

Which of the following numbers would have the digit 6 at its unit place?

Answer»

Which of the following numbers would have the digit 6 at its unit place?

5572.

The correct division statement for the given array is

Answer»

The correct division statement for the given array is
5573.

18. Solve for x and y x+1/2+ y-1/3=9 x-1/3 + y+1/2 =8

Answer» 18. Solve for x and y x+1/2+ y-1/3=9 x-1/3 + y+1/2 =8
5574.

Two angles of a triangle are in the ratio (23:32) and the third angle is 50∘. The two angles are:

Answer»

Two angles of a triangle are in the ratio (23:32) and the third angle is 50. The two angles are:

5575.

Question 90 (ix)Factorise the following, using the identity, a2−2ab+b2=(a−b)2.4y2−12y+9

Answer» Question 90 (ix)



Factorise the following, using the identity, a22ab+b2=(ab)2.



4y212y+9
5576.

If you think of a number from the first 28 natural numbers, what is the probability that the number will be divisible by 6?

Answer»

If you think of a number from the first 28 natural numbers, what is the probability that the number will be divisible by 6?

5577.

Present age of a grandfather is 72 years, while his grandson's age is 12 years. After 8 years, ratio of grandfather's age to grandson's age would be ____.

Answer»

Present age of a grandfather is 72 years, while his grandson's age is 12 years. After 8 years, ratio of grandfather's age to grandson's age would be ____.


5578.

A report published by the Internet and Mobile Association of India (IAMAI) suggests that mobile connectivity and internet penetration is low in India. In this context, how can banking using Television (TV) help in “banking the unbanked”

Answer» A report published by the Internet and Mobile Association of India (IAMAI) suggests that mobile connectivity and internet penetration is low in India. In this context, how can banking using Television (TV) help in “banking the unbanked”
5579.

Let U = {0, 1, 2 , 3, 4, 5, 6, 7}, A = {1, 3, 5, 7} and B = {0, 2, 3, 5, 7}, find the following sets.(i) A’(ii) B’(iii) A ‘ ∪ B’(iv) A’ ∩ B’(v) (A ∪ B)’(vi) (A ∩ B)’(vii) (A’)’(viii) (B’)’

Answer» Let U = {0, 1, 2 , 3, 4, 5, 6, 7}, A = {1, 3, 5, 7} and B = {0, 2, 3, 5, 7}, find the following sets.



(i) A’

(ii) B’

(iii) A ‘ B’

(iv) A’ B’

(v) (A B)’

(vi) (A B)’

(vii) (A’)’

(viii) (B’)’
5580.

In the given figure, if CP || DQ, then the measure of x is(a) 130°(b) 105°(c) 175°(d) 125°

Answer» In the given figure, if CP || DQ, then the measure of x is



(a) 130°



(b) 105°



(c) 175°



(d) 125°



5581.

A certain game was played by 18 players as a team, in which 23rd of the team actually played the game, while the rest were reserved players - ready to replace the main members who got injured. How many reserved players did this team have?

Answer»

A certain game was played by 18 players as a team, in which 23rd of the team actually played the game, while the rest were reserved players - ready to replace the main members who got injured. How many reserved players did this team have?



5582.

A very short electric dipole is placed along the x-axis at the origin O. A point P is at a distance of 20 cm from this origin such that OP makes an angle π3 with the x-axis. If the electric field at P makes an angle θ with the x-axis, the value of θ would be

Answer»

A very short electric dipole is placed along the x-axis at the origin O. A point P is at a distance of 20 cm from this origin such that OP makes an angle π3 with the x-axis. If the electric field at P makes an angle θ with the x-axis, the value of θ would be




5583.

Question 2It is given that ΔDEF∼ΔRPQ. Is it true to say that ∠D=∠R and ∠F=∠P? why?

Answer» Question 2

It is given that ΔDEFΔRPQ. Is it true to say that D=R and F=P? why?




5584.

What are the uses of rational numbers in our daily life?

Answer» What are the uses of rational numbers in our daily life?
5585.

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 .

5586.

Enter the following transactions in the Journal of Arun Govil & Co. : 2018 June 1 Arun Govil & Co. paid into bank as capital ₹ 6,00,000. June 3 Purchased goods from Mukesh of the list price of ₹ 2,00,000 at 10% trade discount. June 4 One-fourth of the above goods returned to Mukesh for not being upto specifications. June 6 Issued a cheque to Mukesh for the amount due to him after deducting 2% as cash discount. June 7 Withdrew from bank ₹ 2,50,000 for office use and ₹ 10,000 for personal use. June 10 Purchased a machinery for ₹ 1,00,000 and spent ₹ 5,000 on its installation. Payment for machinery was made by cheque and installation expenses were paid in cash. June 12 Sold goods for ₹ 1,00,000 to Amar. June 13 Amar clears his account by giving a cheque of ₹ 98,500. Cheque is immediately sent to bank. June 15 Purchased stationery for personal use ₹ 3,000 and for office use ₹ 5,000. June 20 Purchased land for ₹ 2,00,000 and paid 1% as brokerage and ₹ 15,000 as registration charges on it. Entire payment is made by Cheque. June 30 Wages due to labourers ₹ 20,000 and salary due to the clerk ₹ 30,000.

Answer» Enter the following transactions in the Journal of Arun Govil & Co. :



















































2018
June 1 Arun Govil & Co. paid into bank as capital ₹ 6,00,000.
June 3 Purchased goods from Mukesh of the list price of ₹ 2,00,000 at 10% trade discount.
June 4 One-fourth of the above goods returned to Mukesh for not being upto specifications.
June 6 Issued a cheque to Mukesh for the amount due to him after deducting 2% as cash discount.
June 7 Withdrew from bank ₹ 2,50,000 for office use and ₹ 10,000 for personal use.
June 10 Purchased a machinery for ₹ 1,00,000 and spent ₹ 5,000 on its installation. Payment for machinery was made by cheque and installation expenses were paid in cash.
June 12 Sold goods for ₹ 1,00,000 to Amar.
June 13 Amar clears his account by giving a cheque of ₹ 98,500. Cheque is immediately sent to bank.
June 15 Purchased stationery for personal use ₹ 3,000 and for office use ₹ 5,000.
June 20 Purchased land for ₹ 2,00,000 and paid 1% as brokerage and ₹ 15,000 as registration charges on it. Entire payment is made by Cheque.
June 30 Wages due to labourers ₹ 20,000 and salary due to the clerk ₹ 30,000.
5587.

find 3 consecutive natural number whose sum is 11

Answer»

find 3 consecutive natural number whose sum is 11

5588.

20. (a square - b square) whole cube + (b square - c square) whole cube + (c square - a square) whole cube whole divided by (a - b) whole cube + (b - c) whole cube + (c - a) whole cube

Answer» 20. (a square - b square) whole cube + (b square - c square) whole cube + (c square - a square) whole cube whole divided by (a - b) whole cube + (b - c) whole cube + (c - a) whole cube
5589.

Question 83The top speeds of thirty different land animals have been organised into a frequency table. Draw a histogram for the given data.Maximum speed(In km/h)Frequency10−20520−30530−401040−50850−60060−702

Answer»

Question 83



The top speeds of thirty different land animals have been organised into a frequency table. Draw a histogram for the given data.

Maximum speed(In km/h)Frequency1020520305304010405085060060702



5590.

‘2’ multiplied ten times is expressed numerically as _____ .

Answer»

‘2’ multiplied ten times is expressed numerically as _____ .

5591.

If 17(2-x)-5(x+12) divided by 1-7x =8 .Then value of x is .......

Answer»

If 17(2-x)-5(x+12) divided by 1-7x =8 .Then value of x is .......

5592.

The ______ axis has a scale that is a measure of the frequency or amounts of the different data groups.

Answer»

The ______ axis has a scale that is a measure of the frequency or amounts of the different data groups.


5593.

Given an example for binomial expression.

Answer»

Given an example for binomial expression.

5594.

According to the given table, find the relation between x and y. x1234y261220

Answer»

According to the given table, find the relation between x and y.
x1234y261220

5595.

From the following information supplied by X, who keeps his books on Single Entry System, you are required to calculate Total Purchases: ₹ Opening balance of Bills Payable 5,000 Opening balance of Creditors 6,000 Closing balance of Bills Payable 7,000 Closing balance of Creditors 4,000 Cash paid to Creditors during the year 30,200 Bills Payable discharged during the year 8,900 Returns Outward 1,200 Cash Purchases 25,800

Answer» From the following information supplied by X, who keeps his books on Single Entry System, you are required to calculate Total Purchases:







































Opening balance of Bills Payable 5,000
Opening balance of Creditors 6,000
Closing balance of Bills Payable 7,000
Closing balance of Creditors 4,000
Cash paid to Creditors during the year 30,200
Bills Payable discharged during the year 8,900
Returns Outward 1,200
Cash Purchases 25,800
5596.

The number of stamps in the collections of Suniyo, Nobita, and Suzuka are in the ratio 3∶4∶5. If Nobita has a collection of 108 stamps, find the number of stamps that Suniyo, and Suzuka each has.

Answer» The number of stamps in the collections of Suniyo, Nobita, and Suzuka are in the ratio 3∶4∶5. If Nobita has a collection of 108 stamps, find the number of stamps that Suniyo, and Suzuka each has.
5597.

Question 41 Fill in the blanks to make the statement true. 95x=185, then x=.......

Answer»

Question 41

Fill in the blanks to make the statement true.

95x=185, then x=.......

5598.

Construct a triangle PQR, given that PQ = 5 cm and ∠QPR=60∘and ∠QRP=45∘. [3 MARKS]

Answer» Construct a triangle PQR, given that PQ = 5 cm and QPR=60and QRP=45. [3 MARKS]
5599.

xm÷ym=(x÷y)m, where x and y are non-zero rational numbers and m is a positive integer.

Answer»

xm÷ym=(x÷y)m, where x and y are non-zero rational numbers and m is a positive integer.

5600.

Find x, y, p and z.

Answer» Find x, y, p and z.