Discussion
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- Question
- The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paisa per meter is Rs. 36. The breadth of the room is?
Options- A. 6 meters
- B. 8 meters
- C. 9 meters
- D. 12 meters
- Correct Answer
- 6 meters
ExplanationLength of carpet = Total Cost / Rate
= 3600 / 30
= 120 m
Area of carpet = (120 x 75) / 100 m2
= 90 m2
? Area of the room = 90 m2
Breadth of the room = Area /Length
= 90 / 15 m
= 6m - 1. The length of a rectangle is double while its breadth is halved. What is the percentage change in area?
Options- A. 50
- B. 75
- C. No change
- D. None of these Discuss
- 2. The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be?
Options- A. 25m2
- B. 28 m2
- C. 30m2
- D. None of these Discuss
- 3. Area of a square is 1/2 hectare. The diagonal of the square is?
Options- A. 250 meter
- B. 100 meter
- C. 50? 2 meter
- D. 50 meter Discuss
- 4. In a class of 50 students, 35 opted for mathematics and 37 opted for Biology. How many have opted for both Mathematics and Biology? How many have opted for only Mathematics? (Assume that each student has to opt for at least one of the subjects).
Options- A. 15
- B. 17
- C. 13
- D. 19 Discuss
- 5. 72% of the students of a certain class took Biology and 44% took Mathematics. If each student took at least one of Biology or Mathematics and 40 students took both of these subjects, the total number of students in the class is:
Options- A. 200
- B. 240
- C. 250
- D. 320 Discuss
- 6. If the side of a square is increased by 25%, then how much percent does its area get increased?
Options- A. 125
- B. 156.25
- C. 50
- D. 56.25 Discuss
- 7. if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is?
Options- A. 12 cm
- B. 13 cm
- C. 14cm
- D. None of these Discuss
- 8. A veranda 40 meters long 15 meters broad is to paved with stones each measuring 6 dm by 5 dm. the number of stones required is?
Options- A. 1000
- B. 2000
- C. 3000
- D. None of these Discuss
- 9. The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is?
Options- A. 27 m
- B. 54 m
- C. 81 m
- D. None of these Discuss
- 10. The length and breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be?
Options- A. 37
- B. 38
- C. 39
- D. 40 Discuss
Area problems
Search Results
Correct Answer: No change
Explanation:
Let length = l and breadth = b
Then, area = lb
New length = 2l
And new breadth = b/2
? New area = ( 2l ) x (b/2) = lb
So, there is no change in area .
Correct Answer: 30m2
Explanation:
Altitude = ?(13)2 - (5)2
= ?144 = 12m
? Area of the triangle = (5 x 12 ) / 2 m2
= 30m2
Correct Answer: 100 meter
Explanation:
Area = 1/2 hectare = 10000 / 2 m2
= 5000 m2
Again Area = 1/2 x (Diagonal)2
So 1/2 x (Diagonal)2 = 5000m2
? Diagonal2= 10000
? Diagonal = 100
Correct Answer: 13
Explanation:
Given in the question,
n(M ? B) = 50, n(M) = 35, n(B) = 37, n(M ? B) =?
use the below formula
n(M ? B) = n(M) + n(B) ? n(M ? B)
We get 50 = 35 + 37 ? n(M ? B)
? n(M ? B) = 35 + 37 ? 50 = 72 ? 50 = 22
? 22 students have opted for both Mathematics and Biology.
Again number of students who have opted for only Mathematics = n(M) ? n(M ? B) = 35 ? 22 = 13.
Correct Answer: 250
Explanation:
n(A) = Biology students = 72%
n(B) = Mathematics students = 44%
Total students = n(A ? B) = 100%
? 100% = 72% + 44% - n(A ? B) = 116% - n(A ? B)
? n(A ? B) = 16%
? number of students studying both subjects = 40
? Let the total number of students be P
Now, according to the question,
16P/100 = 40
? P = 250
Correct Answer: 56.25
Explanation:
Let area 100 m2
Then, side = 10 m
New side = 125 % of 10
= (125/100) x 10
= 12.5 m
New area = 12.5 x 12.5 m2
=(12.5)2 sq. m
? Increase in area = (12.5)2 - (10)2 m2
= 22.5 x 2.5 m2
=56.25 m2
% Increase = 56.25 %
Correct Answer: None of these
Explanation:
Let each side = x cm
Then, (x + 4 )2 - x2 = 60
? x 2 + 8x + 16 - x2 = 60
? x = 5.5 cm
Correct Answer: 2000
Explanation:
Length = (40 x 10 ) dm = 400 dm.
Breadth = (15 x 10 ) dm = 150 dm.
Area of veranda = (400 x 150 ) dm2
Area of one stone = (6 x 5 ) dm2
? Required number of stones = (400 x 150) /(6 x 5) = 2000
Correct Answer: 54 m
Explanation:
Let breadth = y meters,
Then, length = 2y meters
? Diagonal = ?y2 + (2y)2
= ?5y2 meters
So, ?5y2 = 9 ?5
? y= 9
Thus, breadth = 9 m and length = 18 m
? Perimeter = 2 (18 + 9) m = 54m.
Correct Answer: 38
Explanation:
Perimeter = 2 x (36 + 21 ) m = 144 m
? Number of flagstaffs = 144 / 3 = 38
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