Which one of the following statements is correct based on the above information?
Fifth Monday Condition Analysis
The problem states birth occurred on the fifth Monday of February. For a month to have five occurrences of any specific day of the week, it must contain at least 29 days.
- A 28-day February (non-leap year) completes exactly 4 weeks. Thus, each day of the week appears precisely 4 times. A fifth Monday is impossible in such a year.
- Consequently, the year must be a leap year, and February must have 29 days.
Determining February 1st Day
For a 29-day February to contain five Mondays, these Mondays must fall on the 1st, 8th, 15th, 22nd, and 29th dates. This scenario is only possible if February 1st itself is a Monday.
Assuming February 1st is a Monday:
- Mondays: 1st, 8th, 15th, 22nd, 29th (5 Mondays)
- Tuesdays: 2nd, 9th, 16th, 23rd (4 Tuesdays)
- Sundays: 7th, 14th, 21st, 28th (4 Sundays)
Evaluating the Options
Let's examine each statement based on February 1st being a Monday:
- Option 1: The 2nd February of that year is a Tuesday
If February 1st is a Monday, then February 2nd is indeed a Tuesday. This statement is correct. - Option 2: There will be five Sundays in the month of February in that year
With February 1st as Monday, Sundays fall on the 7th, 14th, 21st, and 28th. There are only 4 Sundays. This statement is incorrect. - Option 3: The 1st February of that year is a Sunday
This contradicts our finding that February 1st must be a Monday for a fifth Monday to exist. This statement is incorrect. - Option 4: All Mondays of February in that year have even dates
The Mondays fall on the 1st, 15th, and 29th. These are odd dates. This statement is incorrect.
The analysis confirms that the only correct statement is that February 2nd is a Tuesday.
Important Questions from Analytical Aptitude
An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases.
Which one of the following is a part of a possible trajectory of the ant during the movement?A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially.
What is the minimum number of doors that need to be opened in order to go from the point P to the point Q?
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.
If the security guard does not move around the posted location and has a 360° view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.
- The vector sum of all the external forces acting on a rigid body is expressed as $\sum F$ and the vector sum of moments of the external forces about a point is given as $\sum M$. The rigid body is in equilibrium if
A rock block of mass 100 kg is to be lifted by a horizontal force P as shown in the figure below. Smooth rollers are placed between the wedges. The coefficient of static friction between wedge A and surface C and between wedge B and surface D is 0.3. Ignoring the weight of the wedges and the friction between the roller and the wedges, the minimum force P in kg required to lift the block (round off to one decimal place) is____.
