Evaluate the given expression. $$\{15 \times 32 \div 2\} \div \{75 \div 5\}$$
16
To solve this expression, we apply the order of operations (BODMAS/PEMDAS), working from the innermost groupings outward.
Step 1: Solve the First Set of Braces
Calculate the value of $\{15 \times 32 \div 2\}$. Since multiplication and division have the same priority, we calculate from left to right:
Multiplication: $15 \times 32 = 480$
Division: $480 \div 2 = \mathbf{240}$
Step 2: Solve the Second Set of Braces
Calculate the value of $\{75 \div 5\}$:
Division: $75 \div 5 = \mathbf{15}$
Step 3: Final Division
Now, divide the result of the first set by the result of the second set:
$$240 \div 15 = \mathbf{16}$$
Summary of Steps
$$\{15 \times 32 \div 2\} \div \{75 \div 5\}$$
$$\{480 \div 2\} \div \{15\}$$
$$240 \div 15 = 16$$
Final Answer:
The result is 16.
Important Questions from Data Sufficiency
- In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Q. Harsh, Ketan, Mayank, Rohit, and Sidharth, each have different height. Who is the shortest?
(I) Mayank is taller than Harsh but shorter than Ketan.
(II) Rohit is taller than Harsh but shorter than Mayank. - In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Q. Kunal, Mohit, Rohan, Sandeep, and Tarun - each have different age. Who is the oldest?
(I) Mohit is older than Kunal but younger than Sandeep.
(II) Tarun is younger than Sandeep but older than Mohit. - In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Question:
Among 5 trees, L, M, N, T and V each having a different height, which tree is the shortest?
Statements:
(I) N is shorter than only three trees.
(II) N is taller than M but shorter than T. Below is given a pair of questions, which are required to be answered, and a triad of statements. Which group of statements is sufficient to answer both the questions?
Question 1: Who is sitting opposite to Q?
Question 2: Who is sitting to the right of Q?
Statement 1 : P and U are sitting on left and right sides of T, respectively
Statement 2: P, Q, R, S, T and U are sitting around a round table with six chairs
Statement 3: Q is NOT sitting on the immediate left side of R
- Area of a rectangle with length x and breadth y is P and area of a parallelogram (which is strictly not a rectangle) with adjacent sides of length x and y is Q.
Question : Is \(P > Q\)?
Statement-I: \(x : y = 2 : 1\)
Statement-II: The angle between the two adjacent sides of the parallelogram is \(60^\circ\).
