Question

Gabru, Bunny and Tarru are jumping all the way. Gabru jumps on every 7th square, Bunny on every 5th square, Tarru on every 4th square.
Gabru starts jumping from square number 90.
Bunny starts jumping from square number 99.
Tarru starts jumping from square number 106.
Bunny's tenth jump is on square number _________.
Tarru's tenth jump is on square number _________.
Gabru's tenth jump will be on square number ________.
Gabru and Bunny both jump on squares 104 _________ and ________.
Find out:
• Tarru and Bunny jump on squares _______, _______, _______ and _______.
• Is there any square where all three of them jump? _______
• Guess who will finish in the least jumps? ________ In how many jumps? ________

Answer 1

Bunny is on square number 99. Bunny jumps on every 5th square.
In a single jump, Bunny covers 5 steps. We have to count Bunny's 10th jump.
Number of steps Bunny covers in 10 jumps = 10$\times$5 = 50
Thus,
Square number reached by Bunny = 99 + 50 = 149

Tarru is on square number 106. Tarru jumps on every 4th square.
In a single jump, Tarru covers 4 steps. We have to count Tarru's 10th jump.
Number of steps Tarru covers in 10 jumps = 10$\times$4 = 40
Thus,
Square number reached by Tarru = 106 + 40 = 146

Gabru is on square number 90. Gabru jumps on every 7th square.
In a single jump, Gabru covers 7 steps. We have to count Gabru's 10th jump.
Number of steps Gabru covers in 10 jumps = 10$\times$7 = 70
Thus,
Square number reached by Gabru = 90 + 70 = 160

• Tarru and Bunny jump on squares 114, 134, 154 and 174.
• All three of them jump together on square 174.
• Gabru will finish it in the least number of jumps, that is, 8.