Area problems
- 1. If the perimeters of a square and a rectangle are the same, then the area a & b enclosed by them would satisfy the condition:
Options- A. a
- B. a>b
- C. a=b
- D. none Also asked in: Bank Exams, Bank PO
Correct Answer: a>b
Explanation:
Take a square of side 4cm and a rectangle having l=6cm and b=2cm
then perimeter of square = perimeter of rectangle
area of square = 16 sq.cm
area of rectangle = 12 sq.cm
Hence a >b
- 2. 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:
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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.
- 8. The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ?
Options- A. 15 m
- B. 4 m
- C. 6 m
- D. 9 m Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 6 m
Explanation:
The edge of the new cube is = => a = 6 m.
- 9. A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ?
Options- A. 115
- B. 117
- C. 116
- D. 114 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 117
Explanation:
Length = 6 m 24 cm = 624 cm
Width = 4 m 32 cm = 432 cm
HCF of 624 and 432 = 48
Number of square tiles required = (624 x 432)/(48 x 48) = 13 x 9 = 117.
- 10. Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar ?
Options- A. 720
- B. 600
- C. 660
- D. 6000 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 720
Explanation:
Let the number of bricks be 'N'
10 x 4/100 x 6 x 90/100 = 25/100 x 15/100 x 8/100 x N
10 x 4 x 6 x 90 = 15 x 2 x N => N = 720.
Programming
Copyright ©CuriousTab. All rights reserved.