1252 * 23 + 35000 = (?)2
Show answer Hide answer
Answer: B. 400
Explanation
Squaring one hundred twenty-five produces fifteen thousand six hundred twenty-five as the first operational step. Multiplying this squared result by twenty-three gives three hundred fifty-nine thousand three hundred seventy-five. Adding thirty-five thousand to this product yields three hundred ninety-four thousand three hundred seventy-five, whose square root evaluates to four hundred. Order of operations dictates that exponents must be calculated before multiplication and addition steps in arithmetic expressions. The square root of a number is a value that, when multiplied by itself, produces the original radicand value. Large-scale arithmetic simplification requires careful execution of intermediate multiplication and addition steps.
Option A produces a squared value of forty thousand, which falls far short of the required numerical result. Option C yields a squared value of two million five hundred sixty thousand, vastly exceeding the target expression. Option D results in a squared value of six hundred forty thousand, which is incorrect for the given terms.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. 2 + [2 + {2 + (2 + (2 + 23)}] = _____?
Show answer Hide answer
Answer: B. 33/4
Evaluating the nested expression requires starting from the innermost parentheses and working outward systematically. Simplifying each bracket layer step by step resolves the fractional additions correctly without error....
Q2. Shohaib placed Rs. 8000 in a scheme for 2 years at 5% p.a. compound interest. What payout will he receive upon maturity?
Show answer Hide answer
Answer: E. None of these
Calculating the compound amount for eight thousand at five percent per year for two years uses the growth formula. Multiplying eight thousand by one point zero five squared gives eight thousand eight hundred twenty rupee...
Q3. 3/7 of 4/9 of 2/5 of 7560 = (?)2
Show answer Hide answer
Answer: C. 24
Sequential fraction multiplication simplifies the entire numerical expression efficiently. Evaluating the fractional product results in a numerical value of 576. Calculating the square root of 576 yields the final answer...
Q4. Solve for x in the equation: 19(x + y) + 17 = 19(-x + y) – 21
Show answer Hide answer
Answer: A. -1
Expanding both sides of the linear equation removes the parentheses and prepares terms for combination. Isolating the variable terms on one side of the equation simplifies the algebraic expression significantly. Solving...
Q5. Evaluate the expression (2.75)3 – (2.00)3 – (0.75)3__________?
Show answer Hide answer
Answer: D. 4.5 * 2.75
The algebraic identity states that a cubed minus b cubed minus c cubed equals three abc when a equals b plus c. Testing the values shows that two point seven five equals two point zero zero plus zero point seven five. Ap...
Q6. An investor puts Rs. 14,400 into company shares valued at Rs. 100 with a 20% premium. Given a 5% year-end dividend, what is his return?
Show answer Hide answer
Answer: B. Rs. 600
Buying shares at a twenty percent premium means each hundred-rupee face value share costs one hundred twenty in the market. Dividing the total investment of fourteen thousand four hundred by the market price per share gi...