In a school drill, a number of children are asked to stand in a circle. They are evenly spaced and the 6th child is diametrically opposite the 16th child. How many children are made to stand in the circle?
Show Hint
- 16
- 20
- 22
- None of these
The Correct Option is B
Solution and Explanation
If \(N\) children stand evenly spaced around a circle and are numbered in order, two children are diametrically opposite each other exactly when their position numbers differ by half the total count, \(\frac{N}{2}\). This is because going halfway around the circle from any position lands exactly on the point directly across from it.
Step 2: Apply this to the 6th and 16th children.
The two children given as diametrically opposite are at positions 6 and 16. Their difference is
\[ 16 - 6 = 10 \]
Step 3: Set this equal to half the total.
\[ \frac{N}{2} = 10 \]
Step 4: Solve for \(N\).
\[ N = 20 \]
Final Answer:
20 children are needed so that the 6th and the 16th, exactly 10 apart, land directly across the circle from each other.
\[ \boxed{20} \]
Top SNAP Analytical Reasoning Questions
Top SNAP Circular Arrangement Questions
- In a school drill, a number of children are asked to stand in a circle. They are evenly spaced and the 6th child is diametrically opposite the 16th child. How many children are made to stand in the circle?
- In a school drill, a number of children are asked to stand in a circle. They are evenly spaced and the 6th child is diametrically opposite the 16th child. How many children are made to stand in the circle?
Directions for questions 146 to 148: Answer the questions on the basis of the information given below.
Ten sports persons A, B, C, D, E, F, G, H, I and J are sitting around a circular table. Each two of them play one of the following sports: Cricket, Swimming, Athletics, Football and Tennis, not necessarily in that order. It is also known that:
- Cricketers are sitting to the immediate right of Athletes and to the immediate left of Swimmers.
- Players who play the same sport sit opposite each other.
- The Tennis player does not sit next to a Swimmer.
- G is sitting equidistant from I and D.
- B and F are Athletes.
- C and D are Cricketers.
- G is sitting three places to the right of D and two places to the left of C.
- J and I are Swimmers.
- H is sitting two places to the right of I.
Which sport does G play?
Directions for questions 146 to 148: Answer the questions on the basis of the information given below.
Ten sports persons A, B, C, D, E, F, G, H, I and J are sitting around a circular table. Each two of them play one of the following sports: Cricket, Swimming, Athletics, Football and Tennis, not necessarily in that order. It is also known that:
- Cricketers are sitting to the immediate right of Athletes and to the immediate left of Swimmers.
- Players who play the same sport sit opposite each other.
- The Tennis player does not sit next to a Swimmer.
- G is sitting equidistant from I and D.
- B and F are Athletes.
- C and D are Cricketers.
- G is sitting three places to the right of D and two places to the left of C.
- J and I are Swimmers.
- H is sitting two places to the right of I.
If F, D and J sit together, then answer the following question.
Who are the neighbors of H?
Directions for questions 146 to 148: Answer the questions on the basis of the information given below.
Ten sports persons A, B, C, D, E, F, G, H, I and J are sitting around a circular table. Each two of them play one of the following sports: Cricket, Swimming, Athletics, Football and Tennis, not necessarily in that order. It is also known that:
- Cricketers are sitting to the immediate right of Athletes and to the immediate left of Swimmers.
- Players who play the same sport sit opposite each other.
- The Tennis player does not sit next to a Swimmer.
- G is sitting equidistant from I and D.
- B and F are Athletes.
- C and D are Cricketers.
- G is sitting three places to the right of D and two places to the left of C.
- J and I are Swimmers.
- H is sitting two places to the right of I.
If F, D and J sit together, then answer the following question.
Who sits to the immediate left of C?
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