Each one of ^@A^@ and ^@B^@ has some money. If ^@A^@ gives ^@₩ 30^@ to ^@B^@ then ^@B^@ will have twice the money left with ^@A^@. But, if ^@B^@ gives ^@₩ 10^@ to ^@A^@ then ^@A^@ will have thrice as much as is left with ^@B^@. How much money does ^@B^@ have?
In the given figure, ^@ DE \parallel BC^@, ^@AD = 3 \space cm^@, ^@DB = 6 \space cm^@, ^@AE = 4.5\space cm^@ and ^@DE = 2 \space cm^@. What is the ^@AC ^@ and ^@BC^@ ?
A.
^@ 14.5 \space cm \space \text{and} \space 8 \space cm ^@
B.
^@ 14.5 \space cm \space \text{and} \space 6 \space cm ^@
C.
^@ 13.5 \space cm \space \text{and} \space 6 \space cm ^@
D.
^@ 13.5 \space cm \space \text{and} \space 8 \space cm ^@
The coordinates of one end point of a diameter ^@AB^@ of a circle are ^@A(6,-2)^@ and the coordinates of the center of the circle are ^@C(-3,1)^@. Find the coordinates of ^@B^@.
In the given figure, ^@ ABCD ^@ is a quadrilateral such that ^@ \angle D = 90^\circ^@. A circle with center ^@O^@ and radius ^@r^@, touches the sides ^@AB, BC, CD,^@ and ^@DA^@ at ^@P, Q, R,^@ and ^@S^@ respectively. If ^@BC = 43 \space cm, CD = 28 \space cm^@, and ^@ BP = 33 \space cm.^@ What is the radius of the circle?
To warn ships for underwater rocks, a lighthouse throws a red colored light over a sector of angle ^@ 90^\circ ^@ to a distance of ^@ 6.3 \space km^@. Find the area of the sea over which the ships are warned. ^@ \bigg( ^@ Use ^@ \pi = \dfrac { 22 } { 7 } \bigg)^@
A capsul is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsul is 33 mm and the diameter of the capsul is 17 mm then choose its correct surface area .
Two coins are tossed simultaneously ^@ 500 ^@ times and it is found that two tails appeared ^@ 250 ^@ times, one tail appeared ^@ 150 ^@ times and no tails appeared ^@ 100 ^@ times.
If two coins are tossed at random, what is the probability of getting ^@ 2 \text { tails } ^@?
In the given figure, ^@ PQ ^@ is a chord of a circle with centre ^@ O ^@ and ^@ PT ^@ is a tangent at point ^@ P ^@. If ^@\angle QPT ^@ = ^@ 66^\circ ^@, find ^@ \angle PRQ ^@.
In this diagram, the triangle represents women, the square represents lawyers and the circle represents tall. Find the number of women who are tall but not lawyers.
S Korea
