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Question

Evaluate the given expression.

$$\{15 \times 32 \div 2\} \div \{75 \div 5\}$$

The correct answer is

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.

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Important Questions from Data Sufficiency

  1. Consider two Statements and a Question:

    Statement 1: Priya is 4 ranks below Seema and is 31 st  from the bottom.

    Statement 2:  Ena is 2 ranks above Seema and is 37" from the bottom.

    Question:  What is Seema’s rank from the top in the class of 40 students ?

    Which one of the following is correct in respect of the Statements and the Question ?

  2. Consider two Statements and a Question:

    Statement 1: Each of A and D is heavier than each of B, E and F, but none of them is the-heaviest.

    Statement 2:  A is heavier than D, but is lighter than C.

    Question:  Who is the heaviest among A,B,C, D and E?

    Which one of the following is correct in respect of the Statements and the Question ?

  3. Consider two Statements and a Question :

    Statement-1 : The last day of the month is a Wednesday.

    Statement-2 : The third Saturday of the month was the seventeenth day.

    Question : What day is the fourteenth of the given month ?

    Which one of the following is correct in respect of the Statements and the Question ?

  4. Consider the Question and two Statements given below :

    Question : Is xan integer?

    Statement-1 : x /  3 is not an integer.

    Statement-2 : 3 xis an integer.

    Which one of the following is correct in respect of the Question and the Statements?

  5. Consider the Question and two Statements given below:

    Question : What is the age of Manisha?

    Statement-1: Manisha is 24 years younger than her mother.

    Statement-2 : 5 years later, the ages of Manisha and her mother will be in the ratio 3 : 5.

    Which one of the following is correct in respect of the Question and the Statements?

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