Question
How many seats are there around the
table? Study the following information carefully and answer the questions given below: A certain number of persons are sitting around the circular table. All of them are facing towards the center. P sits third to the left of M who sits an immediate neighbour of O. Three persons sit between J and O who sits second to the left of K. L sits to the immediate left of N who sits second to the left of P. Both L and J sit adjacent to each other. The number of persons sits between N and O is one less than the number of persons sits between O and L when counted from the right of both N and O respectively. At least one person sits between K and L when counted from the right of K.Solution
STEP I: P sits third to the left of M who sits an immediate neighbour of O. Three persons sit between J and O who sits second to the left of K. As per these statements, we can say that there are three possible cases and the arrangement will look like this:
STEP II: L sits to the immediate left of N who sits second to the left of P. Both L and J sit adjacent to each other. The number of persons sits between N and O is one less than the number of persons sits between O and L when counted from the right of both N and O respectively. At least one person sits between K and L when counted from the right of K. As per these statements, CASE I and CASE III get eliminated and we continue with CASE II and the final arrangement will look like this:
A triangle has sides 13 cm, 14 cm and 15 cm. Find the radius of its circumcircle.
In ΔABC, PQ is parallel to BC If AP: PB= 3:4 and AQ= 6 cm, AC is equal to?
The radius of base of a solid cylinder is 7 cm and its height is 21 cm. It is melted and converted into small bullets. Each bullet is of same size. Eac...
Determine the difference between an angle and its complementary angle, given that the angle is two-thirds of its complement.
Find the difference between angle and its complement if the angle is one-half of its complement.
O and C are the respectively orthocentre and circumcentre of ∆PQR. The line PO is extended which intersect line QR at S. such that, ∠QCR = 140°, �...
An angle is equal to 3/7 of its supplement. The angle is :
In a triangle PQR, ST is drawn parallel to side QR. If PS = 8 cm, QS = 5 cm and PT = 14 cm, then find PR.
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 96 cm² , then the area of ∆EFG is?
Let A, B, and C be the mid-points of sides PQ, and QR PR, respectively, of ΔPQR. If the area of ΔPQR is 64cm², then find the area of ΔABC.
...