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Direction: Read the following information carefully and answer the following questions.
Seven persons J, K, L, M, N, O, and P are there in a family. They are born in 1960, 1970, 1981, 1983, 1986, 1996, and 2007 not necessarily in the same order. Sum of the ages of L and O is Seventy-nine. The age gap between O and M is the same as the age gap between L and K. The Age of O is greater than M. The Sum of the age of J and N is double the age of P. The Age of M is an even number. The age of J is not less than N. Note: The base year is 2023 for calculating the age of all the family members.
What is the age of P?
43
16
27
40
37
Let's analyze the data:
- Years of birth: 1960 (63 yrs), 1970 (53 yrs), 1981 (42 yrs), 1983 (40 yrs), 1986 (37 yrs), 1996 (27 yrs), 2007 (16 yrs) in 2023.
- Sum of L and O’s ages is 79: Possible pairs: (42,37), (53,26), but only (42+37=79). So, L & O are 42 & 37 years old, born in 1981 & 1986.
- O's age is greater than M's. Age gap O-M = L-K.
- M's age is even: Only even ages are 40 and 16.
- O > M ? O = 42 or 40 or 37; M = 40 or 16.
- From above, O=42 or 37, L=37 or 42.
- Assign: O=42, L=37 (or vice-versa).
- Let's try O=42, L=37.
- O (42, born 1981), L (37, 1986).
- M can be 40 (born 1983).
- O - M = 42-40 = 2; L-K = 37-K ? K=35 (but not in list).
- Try O=37 (1986), L=42 (1981), M=40 (1983). Now 37-40=-3; 42-K=-3 ? K=45 (not in list).
- Try M=16 (2007). O must be higher (42 or 37).
- O=42, M=16, O-M=26; L=37, L-K=26 ? K=11 (not in list).
- O=37, M=16, O-M=21. L=42, 42-K=21 ? K=21, not in list.
- Try O=53 (1970), L=26. 53-40=13; 26-13 = K=13, not in list.
- It must be O=42, L=37, M=40. Try ages as: O=42, L=37, M=40, rest: 63, 53, 27, 16.
- O-M=2; L-K=37-K=2; K=35 not in list. Try swapping.
- Try O=37, L=42, M=40. O-M=-3, not possible as O>M is needed.
- Try O=53, L=26. O=53, L=26, M=40; O-M=53-40=13; L-K=26-K=13?K=13, not available.
- Let's try age pairs for L and O: Only 42+37=79 possible.
- Now sum of J and N is double P.
- Try P=16: sum J+N=32, which could be 16+16, not possible as only one 16.
- Try P=27: J+N=54. Possible 53+1, 42+12, 40+14, none available.
- Try P=40: 80. 63+17, 53+27, etc. 53+27=80; both ages are in list!
* J & N can be 53 (1970) and 27 (1996).
- So, P is 40 (1983).
- Assigning all: 63 (1960), 53 (1970), 42 (1981), 40 (1983, P), 37 (1986), 27 (1996), 16 (2007).
Option 4, 40 is correct!
Key Points:
- L and O are 42, 37 (1981, 1986).
- J=53, N=27, P=40; J+N=80=2xP.
- Only possible way for all conditions.
- So P is 40 years old.
By: Parvesh Mehta ProfileResourcesReport error
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