Question

gabru , bunny and taru are jumping. Gabru jumps on every 7th box. bunny on every 5th box . taru on every 4th box . gabru starts from 90. taru starts from 106. bunny from 99.
on which number they the tenth jump they take.................

Answer 1

Answer:

Position of Gabru on 10th jump will be 153.

Position of Bunny on 10th jump will be 144.

Position of Taru on 10th jump will be 142.

Step-by-step explanation:

This problem can be thought of a simple Arithmetic Progression problem.

There are 3 such APs here.

1st AP is related to positions of Gabru. Gabru jumps on every 7th box.

Starting point of Gabru is 90.

First term,

$a_{gabru} = 90$

Common difference, $d_{gabru} = 7$

We have to find the 10th term of this AP.

Formula for nth term of an AP is:

$a_n = a+(n-1) \times d$

$a_{10} = 90+(10-1) \times 7\\\Rightarrow 153$

----------------------------

2nd AP is related to positions of Bunny. Bunny jumps on every 5th box.

Starting point of Bunny is 99.

First term,

$a_{bunny} = 99$

Common difference, $d_{bunny} = 5$

We have to find the 10th term of this AP.

Formula for nth term of an AP is:

$a_n = a+(n-1) \times d$

$a_{10} = 99+(10-1) \times 5\\\Rightarrow 144$

----------------------------

3rd AP is related to positions of Taru. Taru jumps on every 4th box.

Starting point of Taru is 106.

First term,

$a_{taru} = 106$

Common difference, $d_{taru} = 4$

We have to find the 10th term of this AP.

Formula for nth term of an AP is:

$a_n = a+(n-1) \times d$

$a_{10} = 106+(10-1) \times 4\\\Rightarrow 142$

---------------------------------------

Hence,

Position of Gabru on 10th jump will be 153.

Position of Bunny on 10th jump will be 144.

Position of Taru on 10th jump will be 142.