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9501.

In the adjoining figure the value of x is?

Answer»

In the adjoining figure the value of x is?






9502.

Construct 3 equations starting with x=-2

Answer» Construct 3 equations starting with x=-2
9503.

Question 3(d)Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.q2=7(7,2,10,14)

Answer»

Question 3(d)



Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.



q2=7(7,2,10,14)





9504.

The area of a rectangular garden of length 40 m, is 1000 sqm. Find the breadth of the garden and its perimeter. The garden is to be enclosed by 3 rounds of fencing, leaving an entrance of 4 m. Find the cost of fencing the garden at a rate of 250 rupees per metre.

Answer» The area of a rectangular garden of length 40 m, is 1000 sqm. Find the breadth of the garden and its perimeter. The garden is to be enclosed by 3 rounds of fencing, leaving an entrance of 4 m. Find the cost of fencing the garden at a rate of 250 rupees per metre.
9505.

12×35 can be written as 12× ( ___+ 15)

Answer»

12×35 can be written as 12× ( ___+ 15)

9506.

Which of the following is a rational number that lies between 0 and 1?

Answer»

Which of the following is a rational number that lies between 0 and 1?


9507.

What is multiplicative identity?

Answer»

What is multiplicative identity?

9508.

What fraction of the cubes are not red?

Answer»


What fraction of the cubes are not red?



9509.

Subtract the sum of 37 and 15 from 4435.

Answer» Subtract the sum of 37 and 15 from 4435.
9510.

Question 63In the following question, fill in the blanks to make the statements true.The expression for 35 with a negative exponent is ___

Answer»

Question 63



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



The expression for 35 with a negative exponent is ___



9511.

A copper wire of length 44 cm is to be bent into a square and a circle. Which will have a larger area?

Answer» A copper wire of length 44 cm is to be bent into a square and a circle. Which will have a larger area?
9512.

By what number should 2−5 be multiplied so that the product is 1024?

Answer»

By what number should 25 be multiplied so that the product is 1024?

9513.

In the following figure, the mirror line (i.e the line of symmetry) is given as a dotted line . Complete the figure performing reflection in the dotted (mirror) line. (you might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

Answer» In the following figure, the mirror line (i.e the line of symmetry) is given as a dotted line . Complete the figure performing reflection in the dotted (mirror) line. (you might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?




9514.

Abish went to Dubai with his parents and they booked a room for a night at a hotel for the price of AED 220. How much did the room cost in INR?(AED=Arab Emirate Dirham and INR=Indian National Rupee)4400

Answer» Abish went to Dubai with his parents and they booked a room for a night at a hotel for the price of AED 220. How much did the room cost in INR?



(AED=Arab Emirate Dirham and INR=Indian National Rupee)
  1. 4400
9515.

Which of the alphabets of the word "DICTIONARY" possess rotational symmetry?

Answer» Which of the alphabets of the word "DICTIONARY" possess rotational symmetry?
9516.

Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.

Answer» Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.
9517.

p3+2p7= ______

Answer» p3+2p7= ______
9518.

In the given figure, line DE || line GF ray EG and ray FG are bisectors of ∠DEF and ∠DFM respectively. Prove that,(i) ∠DEG = 12 ∠EDF (ii) EF = FG.

Answer»
In the given figure, line DE || line GF ray EG and ray FG are bisectors of DEF and DFM respectively. Prove that,

(i) DEG = 12 EDF (ii) EF = FG.

9519.

If I sell 45th of 10 apples, then how many apples are left with me?

Answer»

If I sell 45th of 10 apples, then how many apples are left with me?



9520.

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m, find(i) the area covered by the roads.(ii)the cost of constructing the roads at the rate of Rs 110 per m2.

Answer»

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m, find



(i) the area covered by the roads.



(ii)the cost of constructing the roads at the rate of Rs 110 per m2.

9521.

Question 78(vi) Study the double bar graph shown below and answer the questions that follow : Find the ratio of sales of brand A as compared to brand B for the month of January.

Answer»

Question 78(vi)
Study the double bar graph shown below and answer the questions that follow :

Find the ratio of sales of brand A as compared to brand B for the month of January.

9522.

Given : Meena’s height = 140 cm , Gopal’s height = 160 cm .The simplified ratio of Meena and Gopal's heights is :

Answer»

Given : Meena’s height = 140 cm , Gopal’s height = 160 cm .The simplified ratio of Meena and Gopal's heights is :


9523.

The product of third power of 14 and fourth power of 4 equals to ______.

Answer»

The product of third power of 14 and fourth power of 4 equals to ______.


9524.

Two numbers are in the ratio 3:4. If 4 is added to each of the numbers , the ratio becomes 4:5. Find the product of the numbers.

Answer» Two numbers are in the ratio 3:4. If 4 is added to each of the numbers , the ratio becomes 4:5. Find the product of the numbers.
9525.

The twins Rina and Tina picked a fight while playing. It all started when they checked their weights using a digital weighing balance. Rina says that she weighs more than her sister. But Tina doesn’t agree with her.The readings of the weighing balance are as follows:Rina: 32.654 kg.Tina: 32.659 kg.Who do you think is correct? (Rina/Tina) __

Answer»

The twins Rina and Tina picked a fight while playing. It all started when they checked their weights using a digital weighing balance. Rina says that she weighs more than her sister. But Tina doesn’t agree with her.



The readings of the weighing balance are as follows:



Rina: 32.654 kg.



Tina: 32.659 kg.



Who do you think is correct? (Rina/Tina) __



9526.

Which of the following option(s) satisfy the inequality 1≤x<7?

Answer»

Which of the following option(s) satisfy the inequality 1x<7?

9527.

A boy of height 1.8m is standing 1.5 m far from wall and sun is behind him. If his shadow of lenght 0.75 m falls on the wall. Find the total length of shadow when wall is removed

Answer» A boy of height 1.8m is standing 1.5 m far from wall and sun is behind him. If his shadow of lenght 0.75 m falls on the wall. Find the total length of shadow when wall is removed
9528.

Simplify(v) (x+y)(2x+y)+(x+2y)(x−y)

Answer» Simplify



(v) (x+y)(2x+y)+(x+2y)(xy)
9529.

Which integer gives 0 when divided by 315?

Answer»

Which integer gives 0 when divided by 315?


9530.

If 2x−14−3≤−3x, then .

Answer»

If 2x1433x, then .

9531.

Bill figured that to locate another member – “109”, he just needed to add ____ more marking(s) after the last marking he made in the previous question. Fill in the blank with a numerical value. ___

Answer»

Bill figured that to locate another member – “109”, he just needed to add ____ more marking(s) after the last marking he made in the previous question. Fill in the blank with a numerical value.


___
9532.

If two vectors A & B are present ina cartesian plane such that sum of (A+B) is perpendicular to the difference (A-B). Then find the ratio of their magnitude.

Answer» If two vectors A & B are present ina cartesian plane such that sum of (A+B) is perpendicular to the difference (A-B). Then find the ratio of their magnitude.
9533.

Find the largest number which can divide both 324 and 144.

Answer»

Find the largest number which can divide both 324 and 144.


9534.

Sum of all the exterior angles formed by producing the sides of the triangle is

Answer»

Sum of all the exterior angles formed by producing the sides of the triangle is


9535.

Question 36Fill in the blanks to make the statements true.One's digit in the cube of 38 is ___

Answer»

Question 36



Fill in the blanks to make the statements true.



One's digit in the cube of 38 is ___



9536.

8 is subtracted from three times the product of numbers p, q and r. Express the above statement as an algebraic expression.

Answer»

8 is subtracted from three times the product of numbers p, q and r. Express the above statement as an algebraic expression.

9537.

Question 179(ii)Express each of the following in exponential form.−125343

Answer»

Question 179(ii)



Express each of the following in exponential form.

125343



9538.

What is the difference between the compound interests on $400 for 1 year at 10% per annum compounded yearly and half-yearly? $

Answer» What is the difference between the compound interests on $400 for 1 year at 10% per annum compounded yearly and half-yearly?

$
9539.

How many rounds along the boundary of the square park should Alex run, in order to cover 2 km?

Answer» How many rounds along the boundary of the square park should Alex run, in order to cover 2 km?


9540.

13. If the height of triangle is decrease by 40% and its base is increased by 40% what will the percentage change in its area

Answer» 13. If the height of triangle is decrease by 40% and its base is increased by 40% what will the percentage change in its area
9541.

The statement- “The temperature on a cold winter day will be more than the temperature on a sunny summer day” is

Answer»

The statement- “The temperature on a cold winter day will be more than the temperature on a sunny summer day” is


9542.

Which of the following is an equivalent fraction of 27, with numnerator as 14?

Answer» Which of the following is an equivalent fraction of 27, with numnerator as 14?
9543.

If the replacement set is the set of Natural numbers, find the solution set for the given linear inequation 9x + 4 &lt; 67.

Answer»

If the replacement set is the set of Natural numbers, find the solution set for the given linear inequation 9x + 4 < 67.


9544.

Add: (i) 3mn, − 5mn, 8mn, −4mn (ii) t − 8tz, 3tz − z, z − t (iii) − 7mn + 5, 12mn + 2, 9mn − 8, − 2mn − 3 (iv) a + b − 3, b − a + 3, a − b + 3 (v) 14x + 10y − 12xy − 13, 18 − 7x − 10y + 8xy, 4xy (vi) 5m − 7n, 3n − 4m + 2, 2m − 3mn − 5 (vii) 4x2y, − 3xy2, − 5xy2, 5x2y (viii) 3p2q2 − 4pq + 5, − 10p2q2, 15 + 9pq + 7p2q2 (ix) ab − 4a, 4b − ab, 4a − 4b (x) x2 − y2 − 1 , y2 − 1 − x2, 1− x2 − y2

Answer»


Add:




(i) 3mn, − 5mn, 8mn, −4mn



(ii) t − 8tz, 3tzz, z
t



(iii) − 7mn + 5, 12mn + 2, 9mn − 8,
− 2mn − 3



(iv) a + b − 3, ba + 3, a
b + 3



(v) 14x + 10y − 12xy − 13, 18 −
7x − 10y + 8xy, 4xy



(vi) 5m − 7n, 3n − 4m + 2, 2m
− 3mn − 5



(vii) 4x2y, − 3xy2,
− 5xy2, 5x2y



(viii) 3p2q2 − 4pq + 5,
− 10p2q2, 15 + 9pq +
7p2q2



(ix) ab − 4a, 4bab, 4a
− 4b



(x) x2 y2 − 1 , y2
− 1 − x2, 1− x2
y2

9545.

If the arms of one angle are respectively parallel to the arms of another angle, then the two angles can be:

Answer»

If the arms of one angle are respectively parallel to the arms of another angle, then the two angles can be:


9546.

Which of the following are true regarding the figure?

Answer»

Which of the following are true regarding the figure?

9547.

​Prepare Two-column Cash Book of Bimal, Lucknow from the following transactions: 2018 ₹ 2018 ₹ June 1 Cash Balance 5,000 June 21 Drawn from Bank 5,000 June 1 Bank Balance 17,500 June 29 Paid office salaries in cash 4,000 June 5 Cash received from sale of shares 5,000 June 30 Sold goods in cash for ₹ 8,000 plus CGST and SGST 6% each and banked the same June 6 Cheque received as advance against sale, paid into bank 50,000 June 30 Paid rent by cheque including CGST and SGST 6% each 1,120 June 7 Paid S. Bose by cheque 12,500 June 30 Paid into bank 7,500 Discount received 200 June 9 Paid wages in cash 3,000 June 20 Received a cheque from A. Mukherji and sent to bank 6,000

Answer» ​Prepare Two-column Cash Book of Bimal, Lucknow from the following transactions:





















































































2018 2018
June 1 Cash Balance 5,000 June 21 Drawn from Bank 5,000
June 1 Bank Balance 17,500 June 29 Paid office salaries in cash 4,000
June 5

Cash received from sale of

shares


5,000
June 30



Sold goods in cash for ₹ 8,000 plus CGST and SGST 6% each and banked the same
June 6

Cheque received as advance

against sale, paid into bank
50,000 June 30

Paid rent by cheque including CGST and SGST 6% each

1,120
June 7 Paid S. Bose by cheque 12,500 June 30 Paid into bank 7,500
Discount received 200
June 9 Paid wages in cash 3,000
June 20 Received a cheque from
A. Mukherji and sent to bank 6,000
9548.

Which of the following object(s) posses Rotational symmetry as well as Line symmetry ?

Answer»

Which of the following object(s) posses Rotational symmetry as well as Line symmetry ?

9549.

If area of the triangle whose vertices are (−3,0), (3,0) and (0,k) is 9 sq. units, then k can be[1 mark]

Answer»

If area of the triangle whose vertices are (3,0), (3,0) and (0,k) is 9 sq. units, then k can be



[1 mark]

9550.

Give expression for the following case. y is multiplied by - 8.

Answer»

Give expression for the following case.

y is multiplied by - 8.