ব্যাংক ডেইলি কুইজ [লং কোর্সের অংশ]

Question: In a 24-hour period, how many times do the hour and minute hands coincide on a standard clock?

Solution: 
Our clock generally has 12 hours. Every 12 hours, the hour hand and the minute hand meet 11 times.

This is because at 11:55, the minute hand can never be exactly on the hour hand; when it catches up with it, it is already 12 o'clock.

Therefore, in 12 hours, when they meet 11 times, in 24 hours (11 × 2) they will meet 22 times.

Question: According to the following symbol substitutions: '+' means '×', '×' means '-', '-' means '÷', and '÷' means '+', what is the result of 20 + 5 - 10 × 4 ÷ 2?

Solution:
If '+' means '×', '×' means '-', '-' means '÷', and '÷' means '+',

Now,
20 + 5 - 10 × 4 ÷ 2

The transformed expression will be:
20 × 5 ÷ 10 - 4 + 2
= 100 ÷ 10 - 4 + 2
= 10 - 4 + 2
= 6 + 2
= 8

Question: If January 1, 2025 is on a Wednesday, what day will January 1, 2027 fall on?

Solution:
Except for a leap year, the first and last days of every year fall on the same day of the week. In a leap year, one extra day must be added.

The year 2025 is not a leap year.
If January 1st, 2025, is a Wednesday, then the last day of the year will also be a Wednesday.

January 1st, 2026, will be a Thursday.
The last day of 2026 will also be a Thursday.

January 1st, 2027, will be a Friday.

Question: At which marked point of a lever should less force be applied if the object needs to be lifted?


Solution:
The farther the force is applied from the fulcrum, the less force needs to be applied for an object of the same weight.

In case A, the distance from the fulcrum to the point of force application is greater, so less force needs to be applied.

In case B, the distance from the fulcrum to the point of force application is smaller, so more force needs to be applied.

Question: If the clock in the mirror shows 7:25, what is the time on the real clock?

Solution:
Actual time = 11:60 - time in the mirror
= 11:60 - 7:25
= 4:35

Question: You see six pairs of horse hooves under a fence. How many horses are behind it?

Solution:
There are a total of 6 × 2 = 12 horses hooves.

There are a total of 12 / 4 = 3 horses.

Question: When the following letters are rearranged, they form a part of the human body. Which one is it?

Solution:
By rearranging Y E K N I D, we get KIDNEY, which is an organ of the human body.

Looking more carefully at each option:
- LIVER (option ক) has an extra K that doesn't fit
- HEAD (option খ) has extra letters L and C

- KIDNEY (option গ) uses all the letters exactly once
- HEART (option ঘ) has extra letters L

Question: If wheel E rotates in the opposite direction of the clock's hands, which direction will wheel B rotate?

Solution:
We know that when two wheels are connected by a crossed belt, they rotate in opposite directions.
And when two wheels are connected by a straight belt, both wheels rotate in the same direction.
When two wheels are directly connected, one will rotate in the opposite direction to the other.

In this case, If wheel E rotates opposite to the direction of the clock hands, wheel D will rotate in the direction of the clock hands.
If wheel D rotates in the direction of the clock hands, wheel C will rotate opposite to the direction of the clock hands.

Again, If wheel C rotates opposite to the direction of the clock hands, wheel B will rotate in the direction of the clock hands.
If wheel B rotates in the direction of the clock hands, wheel A will rotate in the direction of the clock hands.

Question: How will the word "ANALOGY" appear in a mirror?


Solution:
The mirror reflection of the word "ANALOGY" is:

Question: If the weight of the object is 30 kg, how much force is required to lift the object?



Solution:
• Given:
Weight of Object (W) = 30 kg
Gravitational Acceleration (g) = 9.81 m/s²
Number of Ropes Supporting the Load = 1

Calculation of the the Weight Force (Load):
Weight Force = Mass × Gravity
Weight Force=Mass × Gravity = 30 × 9.81 =30 × 9.81 = 294.3 N = 294.3 N

Determination of the Mechanical Advantage (MA):
Since there is only one rope supporting the load, the mechanical advantage is:
MA = 1

Calculation of the Required Force:
Effort Force= MA/Load Force
= 1/294.3
= 294.3 N

The required force to lift the object is 294.3 N (approximately 294 N).

Since this is a single fixed pulley, it only changes the direction of force but does not reduce the effort needed.

Question: A circuit has a resistor of 80Ω and a current of 2A is flowing through it. What is the voltage across the resistor?

Solution:
To find the voltage across the resistor, I'll use Ohm's Law:
V = I × R
Where:

V is the voltage (in volts)
I is the current (in amperes)
R is the resistance (in ohms)

Given:

Resistance (R) = 80Ω
Current (I) = 2A

Substituting these values:
V = 2A × 80Ω
V = 160V
Therefore, the voltage across the 80Ω resistor is 160 volts.

Question: ACT, EGG, INK, ______ What is the next term in the series?

Solution:
In the English alphabet, there are five vowels (A, E, I, O, U).
Here, 1st position starts with A, 2nd position starts with E, 3rd position starts with I,

∴ the 4th position will start with O. So, the correct answer is OLD.

Question: What image will go in the question mark?


Solution:
1st image + 2nd image ⇒ 3rd image