Question

16. In a class of 35 students, Rajan is placed seventh from
the bottom where as Karan is placed ninth from the top.
Divya is placed exactly in between the two. What is the
differences in the positions of Rajan and Divya?
(1) 9
(2) 10
38-16
(3) 11
(4) 13
Options
(a) 1
(b) 2
(c) 3
(d) 4​

Answer 1

Difference between position of Rajan and Divya is 10.

Step-by-step explanation:

In the above question,

Rajan is 7th from bottom

Karan is 9th from the top

Number of student between Rajan and Karan = 35-(9+7)

=35-16

=19

=9+1+9

If Divya is exactly between Rajan and Karan

Divya is (9+1) or 10th above Rajan.

Hence,difference between position of Rajan and Divya is 10.

Answer 2

The correct option is '(2) 10'

Step-by-step explanation:

Given,

Total students = 35

Rajan is placed seventh from bottom,

So, Rajan's position from top = 35 - 7 + 1 = 29,

Now, Karan is placed ninth from the top and Divya is placed exactly in between the two.

∵ Number of students between Karan and Rajan = 35 - (9+7)

= 35 - 16

= 19

Thus, Divya's position from Karan = $\frac{19+1}{2}=\frac{20}{2}=10$

That is, her position from top = 9 + 10 = 19,

Hence, differences in the positions of Rajan and Divya = 29 - 19 = 10.

OPTION (2) is correct.

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