Area problems
- 1. The area of a square field is 69696sq.cm..its diagonal will be equal to
Options- A. 373
- B. 573
- C. 473
- D. 673 Also asked in: Bank Exams, Bank PO
Correct Answer: 373
Explanation:
- 2. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?
Options- A. 844
- B. 814
- C. 840
- D. 820 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk
Correct Answer: 814
Explanation:
Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) sq.cm
Required number of tiles =1517 x 902/(41 x 41) = 814.
- 3. A parallelogram PQRS, the length of whose sides are 8 cm and 12 cm, has one diagonal 10 cm long Ile length of the other diagonal is approximately:
Options- A. 17.8 cm
- B. 17.5 cm
- C. 17 cm
- D. 18 cm Discuss
Correct Answer: 17.8 cm
- 4. The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:
Options- A. 75
- B. 85
- C. 95
- D. 105 Also asked in: Bank Exams, Bank PO
Correct Answer: 75
Explanation:
Area of field = = 96x sq.m
96x = 1440 => x = = 15
Hence, the length of longer parallel side = 5x = 75m
- 5. A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?
Options- A. 140
- B. 150
- C. 160
- D. 170 Also asked in: Bank Exams, Bank PO
Correct Answer: 140
Explanation:
when folded along the breadth
we have 2(l/2 +b) = 34 or l+2b = 34...........(1)
when folded along the length, we have 2(l+b/2)=38 or 2l+b =38.....(2)
from 1 &2 we get l=14 and b=10
Area of the paper = 14*10 = 140 sq cm
- 6. The perimeter of a square is 40 meters. Find the length of one side of the square
Options- A. 10m
- B. 20m
- C. 30m
- D. 40m Also asked in: Bank Exams, Bank PO
Correct Answer: 10m
Explanation:
P = 4 x s
- 7. The perimeter of a rectangle is 160 cm. The rectangle is 4 times longer than wide. What are the length and width of this rectangle?
Options- A. l=65;b=16
- B. l=16;b=64
- C. l=64;b=16
- D. l=16;b=48 Also asked in: Bank Exams, Bank PO
Correct Answer: l=64;b=16
Explanation:
P=2(l+b)
l=4b
- 8. A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
Options- A. 2.5?
- B. 3?
- C. 5?
- D. 4? Also asked in: GRE
Correct Answer: 5?
Explanation:
Draw the diagram. The diagonal of the rectangle is the diameter of the circle. The diagonal is the hypotenuse of a 3,4,5 triangle and is therefore, 5.
Circumference = ?.diameter = 5?
- 9. A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Options- A. 4
- B. 6
- C. 8
- D. None of the above Also asked in: GRE
- Option A cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)
- Option B could be correct because the other two sides would be 3 and 4.
- Option C cannot be correct because this third side would be greater than the sum of the other two sides.
Correct Answer: 6
Explanation:
The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers.
- 10. 2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plots is 96 sq.m. The rate of construction is Rs. 50 per square metre. Find the total cost of the construction?
Options- A. 20
- B. 30
- C. 40
- D. data is inadequate Also asked in: Bank Exams, Bank PO
Correct Answer: data is inadequate
Explanation:
Given lb =96
Area of pathway = [(l-4)(b-4)-lb] = 16-4(l+b)
Which cannot be determined. so, data is inadequate.
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