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- Question
- 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
- Correct Answer
- 30m2
ExplanationAltitude = ?(13)2 - (5)2
= ?144 = 12m
? Area of the triangle = (5 x 12 ) / 2 m2
= 30m2 - 1. 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
- 2. 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
- 3. 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
- 4. Out of 100 families in the neighborhood, 50 have radios, 75 have TVs and 25 have VCR. Only 10 families have all three and each VCR owner also has a TV. If some families have radio only, how many have only TV?
Options- A. 30
- B. 35
- C. 40
- D. 45 Discuss
- 5. If A = {a, d}, B = {b, c, e} and C = {b, c, f}, then A × (B ? C) =
Options- A. ?
- B. (A × B) ? (A × C)
- C. (A × B) ? (A × C)
- D. None of these Discuss
- 6. 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
- 7. 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 Discuss
- 8. 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
- 9. 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
- 10. 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
Area problems
Search Results
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: 35
Explanation:
Let us assume that the N number of people have only TV.
According to question,
? (40 ? P) + P + 10 + 15 + (50 ? P) = 100
? 115 ? 2P + P = 100
? P = 115 ? 100 = 15
? Only TV = 75 ? 15 ? 10 ? 15 = 35
Correct Answer: (A × B) ? (A × C)
Explanation:
As per given question,
(B ? C) = {b, c, e} ? {b, c, f} = {b, c, e, f}
? A × (B ? C) = {a, d} × {b, c, e, f}
= {(a, b), (a, c), (a, e), (a, f), (d, b), (d, c), (d, e), (d, f)} ?...........(1)
Also, (A × B) = {(a, b), (a, c), (a, e), (d, b), (d, c), (d, e)}
and, (A × C) = {(a, b), (a, c), (a, f), (d, b), (d, c), (d, f)} ?............(2)
? (A × B) ? (A × C) = {(a, b), (a, c), (a, e), (a, f), (d, b), (d, c), (d, e), (d, f)}
From (1) and (2), we have
A × (B ? C) = (A × B) ? (A × C).
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: 6 meters
Explanation:
Length 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
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
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