Refer to the following letter, number, symbol series and answer the question that follows.
(Left) H T Z C T & T * % 7 & Y % 6 U K & 2 R T 7 9 Y S 3 5 E * S & D 9 # 6 * (Right)
If all the numbers are dropped/deleted from the series, which of the following will be fourth to the left of sixth from the right?
The problem asks us to identify a specific element in a given series after removing all numbers. We need to first filter the series, then count from the right to find the sixth element, and finally count from the left of that element to find the fourth one.
D) T is the correct answer because after deleting all numbers, the sixth element from the right is '*' and the fourth element to the left of '*' is 'T'.
The question asks to identify the device among the given options that does NOT use an electric motor. An electric motor is a device that converts electrical energy into mechanical energy, typically producing rotational motion. We need to examine the function of each device to determine if it relies on an electric motor.
C) Galvanometer — A galvanometer is used for detecting and measuring small electric currents. It works based on the torque experienced by a current-carrying coil in a magnetic field, causing a pointer to deflect. It does not convert electrical energy into continuous mechanical rotational energy like an electric motor.
The question asks to identify the university that won the Maulana Abul Kalam Azad (MAKA) Trophy in 2021. This requires knowledge of current affairs and sports awards in India, specifically related to inter-university sports performance.
Correct Option: B) Panjab University won the Maulana Abul Kalam Azad (MAKA) Trophy for the year 2021. Panjab University has a strong record in inter-university sports and has won this trophy multiple times.
To find the smallest composite number, we need to understand the definitions of natural numbers, prime numbers, and composite numbers. We will then examine each option based on these definitions.
B) 4 is the smallest composite number because its divisors are 1, 2, and 4, which are more than two divisors.
Which two numbers should be interchanged to make the following equation correct?
8 + 4 – (7 × 5 – 6) ÷ 3 = 3.75
To solve this problem, we need to test each option by interchanging the given numbers in the equation and then evaluating the expression using the BODMAS/PEMDAS rule. The goal is to find the interchange that makes the equation equal to 3.75.
The original equation is: \(8 + 4 - (7 \times 5 - 6) \div 3 = 3.75\)
Let's evaluate the original equation first to see if it's already correct:
Since \(2.33 \neq 3.75\), the original equation is incorrect.
Now, let's test the options:
If we interchange 3 and 4, the equation becomes:
\(8 + 3 - (7 \times 5 - 6) \div 4\)
Since \(3.75 = 3.75\), interchanging 3 and 4 makes the equation correct.
Correct Option: C) 3 and 4
A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2, and so on till the topmost floor is numbered 6.
F lives on an even numbered floor but not on floor number 4. Only two people live between F and B. A lives immediately below E. E lives on an even numbered floor. Neither A nor D lives on the lowermost floor. Who lives on floor number 4?
This is a logical reasoning problem involving arrangement. We need to deduce the floor on which each person lives based on the given clues and then identify who lives on floor number 4. We will use a table to keep track of the possible arrangements and eliminate possibilities as we go.
Correct Option: D) E
The question asks to identify the country with which India shares a border of approximately 4,096.70 km. This requires knowledge of the lengths of India's international borders with its neighboring countries.
India shares land borders with seven countries. Their approximate lengths are:
Comparing these values, the border length of \(4,096.7 \text{ km}\) exactly matches that of Bangladesh.
C) Bangladesh — India shares its longest land border with Bangladesh, measuring approximately \(4,096.7 \text{ km}\).
Read the given statement(s) and conclusions carefully and decide which of the conclusions logically follow(s) from the statement(s). Statements:
T > R ≥ A > C = F ≤ I < L
Conclusions:
I. C < L
II. R > I
Only conclusion I follows
Either conclusion I or II follows
Both conclusions I and II follow
Only conclusion II follows
This problem involves analyzing inequalities to determine the logical relationship between different elements. We need to combine the given statement and then check each conclusion against the derived relationships.
The given statement is: \(T > R \ge A > C = F \le I < L\)
We need to evaluate two conclusions:
A) Only conclusion I follows. As determined in the step-by-step analysis, conclusion I (\(C < L\)) logically follows from the given statement, while conclusion II (\(R > I\)) does not.
To solve this problem, we need to track Raghav's movements on a 2D plane. We can use a coordinate system or simply visualize the movements in terms of North, South, East, and West directions. We will calculate the net displacement in the North-South and East-West directions to find the final position relative to the starting point. Then, we determine the distance and direction from the final point (P) back to the starting point (A).
A) 11 km towards the east. As calculated in the step-by-step explanation, Point P is 11 km to the west of Point A. Therefore, to reach Point A from Point P, Raghav must drive 11 km towards the east.