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Solution

Family Chart:

Symbol Reference:

Given: M = F × K − L + N: M is the father of F, F is the mother of K, K is the brother of L, and L is the wife of N.

∴ The correct answer is Wife's mother's father.

Hence, the correct answer is "Option 1".

According to the given information, we can arrange the seven boxes (A, B, C, D, P, Q, and R) step-by-step:

1. Q is kept second from the bottom: This means Q is at position 2 (counting from bottom to top).

2. Only three boxes are kept between Q and B: If Q is at position 2, the three boxes between them would be at positions 3, 4, and 5. Therefore, B must be at position 6.

3. R is kept at one of the positions below Q: Since Q is at position 2, the only position available below it is position 1. So, R is at the bottom-most position.

4. Only C is kept between B and D: We know B is at position 6. For C to be exactly between B and D, D must be at position 4 and C must be at position 5.

5. A is kept at one of the positions above B: Since B is at position 6, the only position above it is position 7. Therefore, A is at the top-most position.

6. Remaining Box P: The only position left unfilled is position 3, which must be occupied by P.

The final arrangement of the boxes from top to bottom is as follows:

Now, we need to find how many boxes are kept between P and R.

P is at position 3.

R is at position 1.

The only box between them is Q, which is at position 2.

Therefore, there is one box kept between P and R.

Hence, the correct answer is "Option 4".

Original Series: (Left) 8 9 $ 5 # @ 3 2 * + Ω 9 # 1 * £ 5 + & 4 % (Right)

Step 1: Drop all symbols from the series.

The symbols in the series are: $, #, @, *, +, Ω, #, *, £, +, &, %.

Removing them leaves the following sequence of numbers: 8, 9, 5, 3, 2, 9, 1, 5, 4

Step 2: Find the 7^th element from the right.

Counting from the right side of the remaining sequence (8, 9, 5, 3, 2, 9, 1, 5, 4):

1^st from right: 4

2^nd from right: 5

3^rd from right: 1

4^th from right: 9

5^th from right: 2

6^th from right: 3

7^th from right: 5

The seventh element from the right is 5.

Hence, the correct answer is "Option 3".

Statement: O > K < R < Z = C

Conclusions:

I. O < R → False (As O > K < R < Z = C. Both O and R are greater than K, but no direct relation can be determined between O and R. Therefore, the conclusion is false.)

II. C < O → False (As O > K < R < Z = C. We know that C = Z and Z > R > K, but no direct relation can be determined between C and O. Therefore, the conclusion is false.)

Thus, neither conclusion I nor II is true.

Hence, the correct answer is "Option 1".

Statement: C < Z > R = O > K

Conclusions:

I. K < Z → True (As C < Z > R = O > K. Since Z > R and R = O, therefore Z > O. Also, O > K. Hence, Z > K or K < Z. Therefore, the conclusion is true.)

II. C ≤ O → False (As C < Z > R = O > K. We know that both C and O are less than Z, but no direct relation can be determined between C and O. Therefore, the conclusion is false.)

Thus, only conclusion I is true.

Hence, the correct answer is "Option 1".

Given Series:

1 & 9 3 6 @ 7 * & 9 % $ & £ 9 # 3 1 5 7 8 1

Condition: Count the symbols which are immediately preceded by a number and immediately followed by a symbol.

Number → Symbol → Symbol

Checking the series from left to right: 

(Left) 1 & 9 3 6 @ 7 * & 9 % $ 8 £ 9 # 3 1 5 7 8 1 (Right)

Thus, the symbols satisfying the condition are: *, %

Total such symbols = 2

Hence, the correct answer is "Option 2".

Given:

SLIP is coded as '3751'

PINS is coded as '1347'

Therefore, the code for 'N' is 4.

Hence, the correct answer is "Option 1".

Given:

LIVE is coded as '6247'

VANS is coded as '3528'

Therefore, the code for V is 2.

Hence, the correct answer is "Option 3".

General Blood relation:

Both C and D are the daughters of B. In a family structure, two daughters of the same parent are related to each other as sisters.

Therefore, C is the Sister of D.

Hence, the correct answer is "Option 4".

Based on the given information, we can determine the order of the seven boxes (A, B, C, D, P, Q, and R) step-by-step:

Only two boxes are kept below P. This means P is at the 3^rd position from the bottom.

Only one box is kept above C. This means C is at the 6^th position from the bottom (2^nd from the top).

Only one box is kept between C and D. Since C is at the 6^th position, D must be at the 4^th position to have exactly one box (at the 5^th position) between them.

B is kept immediately above A. We need two consecutive vacant spots. The remaining positions are 7, 5, 2, and 1. The only consecutive pair available is 2 and 1. Therefore, B is at position 2 and A is at position 1.

R is kept at some place below Q. The remaining positions are 7 and 5. Since R must be below Q, Q is at the 7^th position and R is at the 5^th position.

Final Arrangement:

Boxes between Q (Position 7) and B (Position 2) are those at positions 6, 5, 4, and 3.

These boxes are C, R, D, and P.

Count = 4

Therefore, there are four boxes kept between Q and B.

Hence, the correct answer is "Option 1".