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
Which of the following statement is correct?
I. The value of 1002 - 992 + 982 - 972 + 962 - 952 + 942 - 932 + ...... + 222 - 212 is 4840.
II. The value of
\(\left(k^2+ \frac{1}{k^2} \right) \left(k- \frac{1}{k} \right) \left(k^4+ \frac{1}{k^4} \right) \) \(\left(k+ \frac{1}{k} \right)\left(k^4- \frac{1}{k^4} \right)\) is \(k^{16}- \frac{1}{k^{16}}\).
Given below is a question followed by two statements I and II. Read both statements carefully to decide which one of them is sufficient to answer the question.
Six people - A, B, C, D, E and F are sitting in a straight line facing north. Who sits to the immediate left of D?
(I) A sits second from one of the extreme ends of the line. Only two people sit between A and B. E sits to the immediate right of C.
(II) C sits third from the left end of the line. Only one person sits between C and F. E sits third to the right of F.
Please read the below equation and select an appropriate option from the following.
x + y = 10 ; y = x - 2
Quantity A is x.
Quantity B is y.
A lady wants to buy the following items in the given price range-
1. Tomato between Rs. 40 and Rs. 45 per kg.
2. Grapes in the price range of Rs. 80 and Rs. 90 per kg.
3. Milk packets at Rs. 23 per liter.
In which shop from the following will she definitely get all her items/
A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter.
B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg.
C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg.
D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.
Question:
When is Yuvi's wedding anniversary?
Statements:
1: On the 7 th day of a month.
2. The month has 29 days only in a leap year.
