1. A certain number of persons were sitting in a row facing north such that the number of persons on the right of Roop was the same as the number of persons on the left of Gaur. Gaur sits on the left of Roop. Deep sits exactly in the middle of Roop and Gaur, and the number of persons between Deep and Roop was twice the number of persons on the right of Roop, who was 58th from the left end.
How many person(s) were there in the row?
Answer - Option C
Explanation -
Final Solution:
Order of persons in the row = 11 persons + Gaur + 22 persons + Deep + 22 persons + Roop + 11 persons
Total number of persons in the row = 69 persons.
The number of persons on the right of Roop was the same as the number of persons on the left of Gaur.
Gaur sits on the left of Roop.
Deep sits exactly in the middle of Roop and Gaur
Inference:
Let’s assume that number of persons on the right of Roop and on the left of Gaur was X, and the number of persons between Deep and Roop, and Gaur and Deep are Y. Then,
Order of persons in the row = X persons + Gaur + Y persons + Deep + Y persons + Roop + X persons
Reference:
The number of persons between Deep and Roop were twice the number of persons on the right of Roop, who was 58th from the left end.
Inference:
After using the above references, we have:
Position of Roop from left end = 58th
And, Number of persons between Deep and Roop was twice the number of persons on the right of Roop i.e. 2X = Y.
Here, the number of persons to the left of Roop in the row = X persons + Gaur + Y persons + Deep + Y persons.
Now, 57 = X persons + 1 + 2X persons + 1 + 2X persons
X = 11 persons
Then,Order of persons in the row = 11 persons + Gaur + 22 persons + Deep + 22 persons + Roop + 11 persons
2. A certain number of persons were sitting in a row facing north such that the number of persons on the right of Roop was the same as the number of persons on the left of Gaur. Gaur sits on the left of Roop. Deep sits exactly in the middle of Roop and Gaur, and the number of persons between Deep and Roop was twice the number of persons on the right of Roop, who was 58th from the left end.
What is the position of Deep from the right end of the row?
A. 20th
B. 25th
C. 30th
D. 35th
Answer - Option D
Explanation -
Final Solution:
Order of persons in the row = 11 persons + Gaur + 22 persons + Deep + 22 persons + Roop + 11 persons
Total number of persons in the row = 69 persons.
Reference:
Number of persons on the right of Roop was same as the number of persons on the left of Gaur.
Gaur sits on the left of Roop.
Deep sits exactly in the middle of Roop and Gaur.
Inference:
Let’s assume that number of persons on the right of Roop and on the left of Gaur was X, and the number of persons between Deep and Roop, and Gaur and Deep are Y. Then,
Order of persons in the row = X persons + Gaur + Y persons + Deep + Y persons + Roop + X persons
Reference:
The number of persons between Deep and Roop was twice the number of persons on the right of Roop, who was 58th from the left end.
Inference:
After using the above references, we have:
Position of Roop from left end = 58th
And, Number of persons between Deep and Roop was twice the number of persons on the right of Roop i.e. 2X = Y.
Here, the number of persons to the left of Roop in the row = X persons + Gaur + Y persons + Deep + Y persons.
Now, 57 = X persons + 1 + 2X persons + 1 + 2X persons
X = 11 persons
Then,Order of persons in the row = 11 persons + Gaur + 22 persons + Deep + 22 persons + Roop + 11 persons