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HURDLE-26 : MENSURATION

(Solve this Hurdle by 14th May)

There are 2 parts in this Hurdle, Part A and Part B

PART A : Attempt any 8 questions from Q1 to Q18.
PART A : Q19 to Q25 are compulsory
PART B : Attempt any 10 questions from QB1 to QB18
PART B : QB19 to QB24 are compulsory.

PART -A

Q1. A room having 15 Ft length , 10 Ft breadth, 12 ft Height has a door of 20 Sq ft and a window of 30 Sq ft. What would be the cost to renovate the room if the carpeting costs Rs. 42 per Sq ft, papering the walls cost Rs 22 per Sq Ft , painting the door costs Rs. 25 per Sq ft, painting the windows cost Rs 35 per Sq ft and painting the roof cost Rs. 19 per Sq ft ?

Q2. The total cost for renovating a room is 22,462. The room is of 15 Ft length , 12 Ft breadth, 11 ft Height and has a door of 25 Sq ft and a window of 35 Sq ft. The papering of the walls cost Rs 23 per Sq Ft , painting the door costs Rs. 28 per Sq ft,
painting the windows cost Rs 24 per Sq ft and painting the roof cost Rs. 15 per Sq ft. The renovation cost also includes the cost of carpeting the floor. What is the cost per Sq ft of carpeting the floor.

Q3. A room has 16 Ft length and 13 Ft breadth. It has a door of 28 Sq ft and a window of 40 Sq ft. The total cost for renovating the room is 26,876. The carpeting costs Rs. 36 per Sq ft, papering of the walls cost Rs 25 per Sq Ft , painting the door costs Rs. 33 per Sq ft, painting the windows cost Rs 22 per Sq ft and painting the roof cost Rs. 23 per Sq ft . What is the height of the room ?

Q4. A room having 15 Ft length , 14 Ft breadth, 11 ft height has a door of 32 Sq ft and a window of 25 Sq ft. What would be the cost to renovate the room if the carpeting costs Rs. 29 per Sq ft, papering the walls cost Rs 27 per Sq Ft , painting the door costs Rs. 24 per Sq ft, painting the windows cost Rs 25 per Sq ft and painting the roof cost Rs. 19 per Sq ft ?

Q5. The total cost for renovating a room is 32,236. The room is of 16 Ft length , 15 Ft breadth, 11 ft Height and has a door of 34 Sq ft and a window of 30 Sq ft. The papering of the walls cost Rs 26 per Sq Ft , painting the door costs Rs. 22 per Sq ft,
painting the windows cost Rs 26 per Sq ft and painting the roof cost Rs. 17 per Sq ft. The renovation cost also includes the cost of carpeting the floor. What is the cost per Sq ft of carpeting the floor.

Q6. A room has 17 Ft length and 12 Ft breadth. It has a door of 32 Sq ft and a window of 28 Sq ft. The total cost for renovating the room is 32,344. The carpeting costs Rs. 38 per Sq ft, papering of the walls cost Rs 29 per Sq Ft , painting the door costs Rs. 25 per Sq ft, painting the windows cost Rs 38 per Sq ft and painting the roof cost Rs. 21 per Sq ft . What is the height of the room ?

Q7. A room having 18 Ft length , 12 Ft breadth, 10 ft Height has a door of 28 Sq ft and a window of 34 Sq ft. What would be the cost to renovate the room if the carpeting costs Rs. 42 per Sq ft, papering the walls cost Rs 31 per Sq Ft , painting the door costs Rs. 26 per Sq ft, painting the windows cost Rs 24 per Sq ft and painting the roof cost Rs. 17 per Sq ft ?

Q8. The total cost for renovating a room is 36,421. The room is of 19 Ft length , 13 Ft breadth, 9 ft Height and has a door of 25 Sq ft and a window of 36 Sq ft. The papering of the walls cost Rs 33 per Sq Ft , painting the door costs Rs. 34 per Sq ft, painting the windows cost Rs 22 per Sq ft and painting the roof cost Rs. 24 per Sq ft. The renovation cost also includes the cost of carpeting the floor. What is the cost per Sq ft of carpeting the floor.

Q9. A room has 19 Ft length and 14 Ft breadth. It has a door of 32 Sq ft and a window of 28 Sq ft. The total cost for renovating the room is 27,224. The carpeting costs Rs. 25 per Sq ft, papering of the walls cost Rs 26 per Sq Ft , painting the door costs Rs. 24 per Sq ft, painting the windows cost Rs 31 per Sq ft and painting the roof cost Rs. 19 per Sq ft . What is the height of the room ?

Q10. A room having 20 Ft length , 15 Ft breadth, 10 ft Height has a door of 2 doors of 21 Sq ft each and a window of 32 Sq ft. What would be the cost to renovate the room if the carpeting costs Rs.28 per Sq ft, papering the walls cost Rs 28 per Sq Ft ,
painting the door costs Rs. 22 per Sq ft, painting the windows cost Rs 24 per Sq ft and painting the roof cost Rs. 18 per Sq ft ?

Q11. The total cost for renovating a room is 43,713. The room is of 21 Ft length , 16 Ft breadth, 11 ft Height and has a door of 36 Sq ft and a window of 35 Sq ft. The papering of the walls cost Rs 29 per Sq Ft , painting the door costs Rs. 25 per Sq ft,
painting the windows cost Rs 22 per Sq ft and painting the roof cost Rs. 23 per Sq ft. The renovation cost also includes the cost of carpeting the floor. What is the cost per Sq ft of carpeting the floor.

Q12. A room has 22 Ft length and 13 Ft breadth. It has 2 doors of 20 Sq ft each and a window of 36 Sq ft. The total cost for
renovating the room is 37,430. The carpeting costs Rs. 24 per Sq ft, papering of the walls cost Rs 31 per Sq Ft , painting the
door costs Rs. 28 per Sq ft, painting the windows cost Rs 25 per Sq ft and painting the roof cost Rs. 17 per Sq ft . What is the height of the room ? (www.urpercentile.com)

Q13. A room having 16 Ft length , 12 Ft breadth, 10 ft Height has a door of 30 Sq ft and a window of 28 Sq ft. What would be the cost to renovate the room if the carpeting costs Rs. 46 per Sq ft, papering the walls cost Rs 27 per Sq Ft , painting the door costs Rs. 30 per Sq ft, painting the windows cost Rs 38 per Sq ft and painting the roof cost Rs. 24 per Sq ft ?

Q14. The total cost for renovating a room is Rs. 32,232. The room is of 19 Ft length , 15 Ft breadth, 10 ft Height and has a
door of 25 Sq ft and a window of 32 Sq ft. The papering of the walls cost Rs 28 per Sq Ft , painting the door costs Rs. 25 per
Sq ft, painting the windows cost Rs 24 per Sq ft and painting the roof cost Rs. 19 per Sq ft. The renovation cost also includes the cost of carpeting the floor. What is the cost per Sq ft of carpeting the floor.

Q15. A room has 21 Ft length and 16 Ft breadth. It has a door of 36 Sq ft and a window of 38 Sq ft. The total cost for renovating the room is 43,132. The carpeting costs Rs. 25 per Sq ft, papering of the walls cost Rs 34 per Sq Ft , painting the door costs Rs. 28 per Sq ft, painting the windows cost Rs 22 per Sq ft and painting the roof cost Rs. 23 per Sq ft . What is the height of the room ?

Q16. A room having 18 Ft length , 13 Ft breadth, 12 ft Height has a door of 28 Sq ft and a window of 40 Sq ft. What would be the cost to renovate the room if the carpeting costs Rs. 22 per Sq ft, papering the walls cost Rs 31 per Sq Ft , painting the door costs Rs. 38 per Sq ft, painting the windows cost Rs 25 per Sq ft and painting the roof cost Rs. 19 per Sq ft ?

Q17. The total cost for renovating a room is 34,892. The room is of 19 Ft length , 14 Ft breadth, 10 ft Height and has a door of 32 Sq ft and a window of 42 Sq ft. The papering of the walls cost Rs 32 per Sq Ft , painting the door costs Rs. 24 per Sq ft,
painting the windows cost Rs 24 per Sq ft and painting the roof cost Rs. 16 per Sq ft. The renovation cost also includes the cost of carpeting the floor. What is the cost per Sq ft of carpeting the floor.

Q18. A room has 21 Ft length and 15 Ft breadth. It has a door of 35 Sq ft and a window of 42 Sq ft. The total cost for renovating the room is 36,448. The carpeting costs Rs. 28 per Sq ft, papering of the walls cost Rs 27 per Sq Ft , painting the door costs Rs. 26 per Sq ft, painting the windows cost Rs 34 per Sq ft and painting the roof cost Rs. 19 per Sq ft . What is the height of the room ?
==============================================

MATCH THE WORDS IN SET A WITH THEIR MEANINGS IN SET B

SET A
Q19. Knoll,
Q20. Transposition,
Q21. Scurrilous,
Q22. Venison,
Q23. Oration,
Q24. Disavow,
Q25. Treacherous,

SET B
A. To betray somebody
B. To praise someone
C. A little round hill
D. The act of reversing the order or changing the place of something.
E. To deny or disclaim
F. Doltish
G. Obscene, indecent or vulgar.
H. To walk around without any purpose.
I. To cry.
J. Meat of deer or any animal hunted as game.
K. A formal public speech.
L. Act of making fun of someone.

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PART B

Take Value of Pi = 22/7

QB1. A cube of side 35 cm, a box with sides 12 cm, 24 cm and 13 cm, a cylinder with radius 7 cm and height 17 cm and a cone with radius 7 cm and height 6 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. How many such sphere will be completely full and how much cubic cm of volume will be there in the last such sphere?

QB2. A cube of unknown measurement, a box with sides 15 cm, 29 cm and 19 cm, a cylinder with radius 14 cm and height 24 cm and a cone with radius 14 cm and height 9 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 18,857 cubic cm is thrown away. What is the length of the side of the cube ?

QB3. A cube of side 37 cm, a box with sides 11 cm, 34 cm and 14 cm, a cylinder with radius 21 cm and unknown height and a cone with radius 21 cm and height 12 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. (www.urpercentile.com) 2 such sphere get completely full and the remaining 21,239 cubic cm is thrown away. What is the height of the cylinder ?

QB4. A cube of side 42 cm, a box with sides 14 cm, 39 cm and unknown length, a cylinder with radius 28 cm and 22 cms height and a cone with radius 7 cm and height 15 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 3 such sphere get completely full and the remaining water just fits in a box of dimension 14 cm*17 Cm * 99 cm. What is the length of the box from which the water was originally taken ?

QB5. A cube of side 13 cm, a box with sides 17 cm, 21 cm and 26 cm, a cylinder with unknown radius and 21 cms height and a cone with radius 14 cm and height 21 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 3,383 cubic cm is thrown away. What is the radius of the cylinder ?

QB6. A cube of side 35 cm, a box with sides 15 cm, 16 cm and 17 cm, a cylinder with radius 7 cm and 14 cms height and a
cone with radius 21 cm and unknown height are full of water. The water from all the above is poured into spherical containers
of radius 21 cms. 1 such sphere get completely full and the remaining 21,391 cubic cm is thrown away. What is the height of
the cone ?

QB7. A cube of side 18 cm, a box with sides 18 cm, 31 cm and 23 cm, a cylinder with radius 14 cm and height 33 cm and a
cone with radius 7 cm and height 27 cm are full of water. The water from all the above is poured into spherical containers of
radius 21 cms. How many such sphere will be completely full and how much cubic cm of volume will be there in the last such
sphere?

QB8. A cube of unknown measurement, a box with sides 21 cm, 36 cm and 29 cm, a cylinder with radius 12 cm and height 14 cm and a cone with radius 14 cm and height 30 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining 6260 cubic cm is thrown away. What is the length of the cube ?

QB9. A cube of side 29 cm, a box with sides 7 cm, 23 cm and 26 cm, a cylinder with radius 19 cm and unknown height and a cone with radius 21 cm and height 34 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 1 such sphere get completely full and the remaining water is poured into 2nd sphere. The second sphere still has capacity of 17,449 cubic cms left. What is the height of the cylinder ?

QB10. A cube of side 36 cm, a box with sides 10 cm, 28 cm and unknown length, a cylinder with radius 26 cm and 21 cms height and a cone with radius 7 cm and height 15 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining is poured into 3rd sphere. The 3rd sphere still has capacity of 15,422 cubic cm left. What is the length of the box ?

QB11. A cube of side 43 cm, a box with sides 13 cm, 14 cm and 38 cm, a cylinder with unknown radius and 36 cms height and a cone with radius 14 cm and height 15 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining is poured into 3rd sphere. The 3rd sphere still has capacity of 21,377 cubic cms left. What is the radius of the cylinder ?

QB12. A cube of side 50 cm, a box with sides 7 cm, 8 cm and 12 cm, a cylinder with radius 14 cm and height 41 cm and a cone with radius 21 cm and height 5 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. How many such sphere will be completely full and how much cubic cm of volume will be there in the last such sphere?

QB13. A cube of unknown measurement, a box with sides 10 cm, 12 cm and 15 cm, a cylinder with radius 21 cm and height
12 cm and a cone with radius 35 cm and height 3 cm are full of water. The water from all the above is poured into spherical
containers of radius 21 cms. 2 such sphere get completely full and the remaining 8,666 cubic cm is thrown away. What is the
length of the cube ?

QB14. A cube of side 30 cm, a box with sides 8 cm, 6 cm and 8 cm, a cylinder with radius 28 cm and unknown height and a cone with radius 7 cm and height 24 cm are full of water. (www.urpercentile.com) The water from all the above is poured
into spherical containers of radius 21 cms. 2 such sphere get completely full and the remaining is poured into 3rd sphere.
The 3rd sphere still has capacity of 33,600 cubic cms left. What is the height of the cylinder ?

QB15. A cube of side 25 cm, a box with sides 12 cm, 25 cm and unknown length, a cylinder with radius 35 cm and 25 cms height and a cone with radius 14 cm and height 6 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 3 such sphere get completely full and the remaining 1183 cubic cm thrown away. What is the length of the box ?

QB16. A cube of side 20 cm, a box with sides 10 cm, 20 cm and 15 cm, a cylinder with unknown radius and 26 cms height and a cone with radius 14 cm and height 6 cm are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 4 such sphere get completely full and the remaining water just fills a box of dimension 2cm * 11 cm* 17 cm . What is the radius of the cylinder ?

QB17. A cube of side 10 cm, a box with sides 6 cm, 12 cm and 15 cm, a cylinder with radius 56 cm and 16 cms height and a cone with radius 14 cm and unknown height are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 4 such sphere get completely full and the remaining water just fits in a box of dimension 8 cm*27 Cm * 41 cm. What is the height of the cone ?

QB18. A cube of side 15 cm, a box with sides 4 cm, 5 cm and 12 cm, a cylinder with radius 49 cm and 18 cms height and a cone with radius 7 cm and unknown height are full of water. The water from all the above is poured into spherical containers of radius 21 cms. 3 such sphere get completely full and the remaining water just fits in a box of dimension 5 cm*53 Cm * 59 cms. What is the height of the cone ?
=============================================

MATCH THE WORDS IN SET A WITH THEIR MEANINGS IN SET B

SET A
QB19. Gesticulation, QB20. Undaunted, QB21. Accede , QB22. Juxtapose, QB23. Transcend, QB24. Impropriety ,

SET B
A. To place close together.
B. To throw away something, like stone in a river.
C. To jump back and forth.
D. To exceed or surpass quality or achievement.
E. Motion or gesture accompanying speech.
F. Eat too much though one is not hungry.
G. Not afraid of defeat or loss.
H. To get nervous due to lack of experience.
I. To steal somebody's property
J. To agree.
K. To climb up a hill.
L. State of being unfit

Answers of Above Hurdle-26
It was a time consuming Hurdle, but in no way should have taken more than 30 to solve the number of
Hurdle 26-Answers

  Hurdle 27 : Ratio
Monthly income of X and Y are in ratio of P:Q and their expenses are also in ratio of P:Q. .
Hurdle27.htm
  Links of Hurdle 31 to 78
Links of Hurdle 31 to 78 will be available only to the closed community of Urpercentile members.

Hurdle31onwards.htm
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