Author Archives: leapingluqe08

Topic: Logic Difficulty: 3/10 Hint in 3….. 2……… 1……… If you are really lucky, the answer would be 4. But in this case, think of the worst case scenario Solution in 3….. 2……… 1……… FULL SOLUTION The keywords here are “certain” & “minimum” Step 1: Worst case scenario: After taking out 8 balls, 3R, 2G &Continue reading “Pick a ball”

Topic: Logic Difficulty: 8/10 Hint in 3….. 2……… 1……… Lay the 15 cities on a straight line by marking an “x” If there are 15 cities on a line,  14 roads are needed to connect the first city to  all the other cities. Solution in 3….. 2……… 1………   FULL SOLUTION Step 1:Using the hint,Continue reading “The road less traveled”

Topic: Algebra Difficulty: 5/10 Hint in 3….. 2……… 1……… The ratio of the left mass to the right mass is the same for both cases. Solution in 3….. 2……… 1……… FULL SOLUTION Step 1: Using the hint, it is known that (m÷9) = (16÷m) Step 2: By cross multiplication, m² = 16 x 9 Step 3:ApplyingContinue reading “Faulty Balance”

Topic: Physics Difficulty: 8/10 Hint in 3….. 2……… 1……… Use Conservation of Energy Solution in 3….. 2……… 1……… FULL SOLUTION Step 1: Find the spring constant(k) by using static deflection equation(mg=kx, where           x = 0.1m) Step 2: Use C.O.E to find the how much the spring is stretched. (Potential Energy(mgh)Continue reading “Trampoline”

Topic: Permutation Difficulty: 3/10 Hint in 3….. 2……… 1………   If Suzy has 3 tops and 2 bottoms, she can have different outfit combinations for (3 x 2) days Solution in 3….. 2……… 1……… FULL SOLUTION Step 1: Using the hint, she has 7 x 5 x 3 = 105 different outfits. Step 2: SinceContinue reading “Outfits on World Tour”

Topic: Numbers Difficulty: 8/10 Hint in 3….. 2……… 1……… The smallest adorable number is 9 because 2+3+4 is the smallest possible values for a,b &c Solution in 3….. 2……… 1……… FULL SOLUTION   Step 1: Since 9 is the smallest adorable number, numbers 1 to 8 are not adorable Step 2: If c is alwaysContinue reading “Adorable Numbers”

Topic: Logic Difficulty: 5/10    Hint in 3…..   2………   1………     Try to figure out A’s identity first   Solution in 3…..   2………   1………     FULL SOLUTION Step 1: If “A” is a knave, his statement would be false which means that none of them are knaves, which then contradictsContinue reading “Knights & Knaves”

Topic: Logic/Numbers Difficulty: Easy Hint in 3….. 2……… 1……… Odd + Odd = Even 2 x (any number) = Even     Solution in 3….. 2……… 1………   FULL SOLUTION   Step 1: Add the 2 statements together: a + 2b + 2c + d = EVEN Step 2: Since (2b+ 2c) is EVEN, (a+d) must beContinue reading “Pass the Odds”

Topic: Counting Difficulty: Manageable    Hint in 3….. 2……… 1……… Sum of points after 1st round = (Matches played) x (Combined points in a match)   Solution in 3….. 2……… 1………   FULL SOLUTION   Step 1: 12 players means that 6 games are being played at a given time Step 2: Each player willContinue reading “Chess Tournament”