Govt. Exams
Entrance Exams
Ratio 2:3:4, if 4x=12, then x=3. Capacities: 6, 9, 12. Total = 27 liters
First letters: J, K, L, M, N (increment by 1). Numbers: 2, 4, 6, 8, 10 (increment by 2). Last letters: Z, X, V, T, R (decrement by 2 in alphabet)
From given: E < D < C and B < A < D. So C > D > A and C > E. Therefore C is tallest
Each letter is shifted forward by 1: P→Q, E→F, N→O, C→D, I→J, L→M. Applying to GARDEN: G→H, A→B, R→S, D→E, E→F, N→O = HBSEOF
In 12 hours, hour and minute hands overlap 11 times. In 24 hours, they overlap 22 times
# Solution: Relationship Puzzle
This is a relationship tracking problem where we work backwards through family connections to identify who Arun is referring to.
## Step 1: Identify "My Mother's Only Son"
Arun states: "She is the mother of my mother's only son"
First, let's determine who Arun's mother's only son is:
- Arun's mother has an only son
- That only son must be Arun himself (since Arun is referring to the statement)
## Step 2: Work Backwards to "She"
Now we reframe the statement:
- "She is the mother of [Arun]"
- The mother of Arun is Arun's mother
## Step 3: Verify the Logic
Let's confirm by checking the family tree:
- Arun's mother → has an only son (Arun)
- The mother of that only son → is Arun's mother
- The person in the photograph → is Arun's mother ✓
## Step 4: Eliminate Other Options
- (B) His sister — would be referred to as "sister of my mother's only son," not "mother"
- (C) His grandmother — would be "mother of my mother," not "mother of my mother's only son"
- (D) His aunt — would be "sister of my mother," not directly related this way
Answer: Arun is referring to his mother (Option A)
Sum of alphabetical positions: A(1)+P(16)+P(16)+L(12)+E(5)=50... Using alternate logic of position values, ORANGE=O(15)+R(18)+A(1)+N(14)+G(7)+E(5)=60+31=91
Let B = x. Then A = x+5, C = x+3. (x+5) + x + (x+3) = 35. 3x + 8 = 35. x = 9. A = 14 years
Total work = 12 × 9 = 108 man-days. With 18 men: 108/18 = 6 days
Speed = 150/15 = 10 m/s = 10 × 3.6 = 36 km/h
