Day of Week Calculation: June to July
The question asks for the day of the week for July 3rd, given that June 2nd is a Thursday in the same year.
Calculating Total Days
First, determine the number of days between June 2nd and July 3rd.
- Days remaining in June: June has 30 days. So, $30 - 2 = 28$ days.
- Days in July until the target date: 3 days (July 1st, 2nd, 3rd).
- Total number of days = Days remaining in June + Days in July = $28 + 3 = 31$ days.
Determining the Day Shift
To find the day of the week, calculate the number of full weeks and remaining days in the total period.
- Divide the total days by 7 (days in a week): $31 \div 7$.
- The result is 4 weeks with a remainder of 3 days ($31 = 4 \times 7 + 3$).
Finding the Final Day
The remainder of 3 days indicates how many days the week shifts forward from the starting day (Thursday).
- Starting day: Thursday.
- Add the remainder days: Thursday + 3 days = Sunday.
Therefore, July 3rd is a Sunday.
Important Questions from Numerical Reasoning
- Let $p_1$ and $p_2$ denote two arbitrary prime numbers. Which one of the following statements is correct for all values of $p_1$ and $p_2$?
- A 'frabjous' number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?
Ankita has to climb 5 stairs starting at the ground, while respecting the following rules:
1. At any stage, Ankita can move either one or two stairs up.
2. At any stage, Ankita cannot move to a lower step.
Let $F(N)$ denote the number of possible ways in which Ankita can reach the $N^{th}$ stair. For example, $F(1) = 1$, $F(2) = 2$, $F(3) = 3$. The value of $F(5)$ is ________.- In a zoo, three lions and four tigers eat 390 kg of food every week. In another zoo, four lions and five tigers eat 500 kg of food every week. Lions and tigers eat different amounts of food, but all individuals of the same species eat the same amount. The amount of food a single lion eats per week is ________ kg.
(Answer in integer) Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let P, Q, and R move with speeds $v_P$, $v_Q$, and $v_R$, respectively.
Which one of the following options is CORRECT?
