Information Breakdown
First, let's list the known totals and individual constraints:
- Total children = 15
- Total boys = 9
- Total girls = $15 - 9 = 6$
P's Children Calculation
We are given that individual P has 4 children and 3 of them are girls.
- P's children = 4
- P's girls = 3
- P's boys = P's children - P's girls = $4 - 3 = 1$
- So, P has 1 boy and 3 girls.
Q's Children Calculation
Next, we determine the number of children for individual Q.
- Q has one more child than P, so Q has $4 + 1 = 5$ children.
- The statement "Q has same number of boys" is interpreted contextually to mean Q has the same number of boys as P has girls (which is 3 boys), as this fits the overall constraints.
- Q's boys = 3
- Q's girls = Q's children - Q's boys = $5 - 3 = 2$
- So, Q has 3 boys and 2 girls.
R's Children Calculation
Now, we find the number of children for individual R.
- Total children from P and Q = $4 + 5 = 9$.
- R's children = Total children - (Children of P + Children of Q) = $15 - 9 = 6$.
- Total boys from P and Q = P's boys + Q's boys = $1 + 3 = 4$.
- R's boys = Total boys - (Boys of P + Boys of Q) = $9 - 4 = 5$.
- Total girls from P and Q = P's girls + Q's girls = $3 + 2 = 5$.
- R's girls = Total girls - (Girls of P + Girls of Q) = $6 - 5 = 1$.
- So, R has 5 boys and 1 girl.
Let's verify the specific conditions for R:
- "R has four more boys than the number of girls": $5 \text{ boys} = 1 \text{ girl} + 4$. This is correct.
- "The number of girls of R is equal to the number of boys of P": $1 \text{ girl} = 1 \text{ boy}$. This is correct.
Final Answer Derivation
The question asks for the number of boys R and P have.
- Boys of R = 5
- Boys of P = 1
Therefore, R has 5 boys and P has 1 boy.
Important Questions from Puzzles
In the 4 x 4 array shown below, each cell of the first three rows has either a cross (X) or a number.
1 X 4 3 X 5 5 4 3 X 6 X
The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row isStudents applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation.
Given the data below, which room will Ajit stay in?Names Student seniority Current room Room preference list Amar 1 P R, S, Q Akbar 2 None R, S Anthony 3 Q P Ajit 4 S Q, P, R The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?
Note: The figure shown is representative.
- The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not necessarily in the same order. Consider the following statements:
• The line joining P and R is parallel to the line joining Q and S.
• P is placed on the side opposite to the corner T.
• S and U cannot be placed on the same side.
Which one of the following statements is correct based on the above information? In the square grid shown on the left, a person standing at P2 position is required to move to P5 position.
The only movement allowed for a step involves, “two moves along one direction followed by one move in a perpendicular direction”. The permissible directions for movement are shown as dotted arrows in the right.
For example, a person at a given position Y can move only to the positions marked X on the right.
Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is
