The product of two numbers '231' and 'ABA' is 'BA4AA' in a certain base system (where base is less than 10), where A and B are distinct digits. What is the base of that system?
Triangle ABC has area area[ABC]=468. D,E and F are the midpoints of BC,CA and AB, respectively. Points P,Qand R are defined such that P is the incenter of AEF, Q is the incenter of BFD, and R is the incenter of CDE. What is area[DREPFQ]?
Triangle ABC has area area[ABC]=468. D,E and F are the midpoints of BC,CA and AB, respectively. Points P,Qand R are defined such that P is the incenter of AEF, Q is the incenter of BFD, and R is the incenter of CDE. What is area[DREPFQ]?
You're quietly sitting by a street one day, enjoying the sun, when you notice a speeding car traveling at 20 m/s down the street. The driver notices that there's a stop sign in the street and hits the brakes 40 m before the stop sign, coming to a stop right at the sign itself. What is the coefficient of friction between the car's tires and the road?
The midpoints of the sides AB, BC, CD, DA of the parallelogram ABCD are E, F, G, H respectively. Each midpoint is joined to the two vertices not on its side. What is the ratio of the area outside the resulting 8-pointed star to the area of the parallelogram?
The answer should be 3 coins....girls will give 2 coins to boys and get a coin in return, thereby accounting of a net transaction of Re. 1 from girls to boys.
let there be 7x and 3x boys and girls respectively. the amount with them = 3.5x and 2.25x respectively. the difference = 1.25x = Rs. 3.75 (given)
Thus, x=3 >> boys=21, girls=9
before transaction,amount with
boys=10.5, girls=6.75
As per condition, a transfer of Re. 1 will make amount with boys double the amount with girls.
after transaction, amount with
boys=11.5, girls=5.75
PS : i am new here. kindly highlight mistakes, if any 😃
The distance AB is 12. The circle center A radius 8 and the circle center B radius 6 meet at P (and another point). A line through P meets the circles again at Q and R (with Q on the larger circle), so that QP = PR. Then the length of QP is