A parallelogram PQRS, the length of whose sides are 8 cm and 12 cm, has one diag

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Question
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

Correct Answer

17.8 cm

Area problems

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1. Chord AB of a circle when extended meets the tangent to the circle at point P. PT is the tangent touching the circle at point T. If lengths of PT and PB are 6 cm and 4 cm respectively, what is the length of PA?
Options
A. 12 cm
B. 11 cm
C. 10 cm
D. 9 cm

2. 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

3. 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

4. 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

5. 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

6. Two concentric circles form a ring. The inner and outer circumference of the ring are 352/7 m and 528/7m respectively.Find the width of the ring.
Options
A. 5
B. 4
C. 3
D. 2

7. The perimeters of two squares are 40cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Options
A. 12
B. 24
C. 36
D. 48

8. A cow s tethered in the middle of a field with a 14feet long rope.If the cow grazes 100 sq feet per day, then approximately what time will be taken by the cow to graze the whole field?
Options
A. 616
B. 716
C. 816
D. 516

9. Wheels of diameters 7cm and 14cm start rolling simultaneously from x & y which are 1980 cm apart towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10seconds.The speed of the smaller wheel is
Options
A. 22m/s
B. 33m/s
C. 44m/s
D. 55m/s

10. The length of the rectangle is 20% more than its breadth . what will be the ratio of the area of the rectangle to that of the square whose side is equal to the breadth of the rectangle?
Options
A. 2:1
B. 5:6
C. 6:5
D. data is inadequate

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