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Question

Simplify the given expression-
$21 \times (23 - 12) - ((-1 \times 10) + 21)$

This question was previously asked in
RRB ALP/Technician 2018 CBT 2 Electronics Mechanic Question Paper (23-Jan-2019) (Shift 1)
The correct answer is
220

Simplify Expression Calculation

Simplify the expression $21 \times (23 - 12) - ((-1 \times 10) + 21)$ using the order of operations (PEMDAS/BODMAS).

Expression Simplification

  1. Parentheses: Simplify inside the parentheses first. Calculate $(23 - 12)$ resulting in $11$. Calculate $(-1 \times 10)$ resulting in $-10$. The expression becomes: $21 \times 11 - (-10 + 21)$.
  2. Parentheses: Simplify the remaining part inside the second parenthesis. Calculate $(-10 + 21)$ resulting in $11$. The expression becomes: $21 \times 11 - 11$.
  3. Multiplication: Perform the multiplication. Calculate $21 \times 11$ resulting in $231$. The expression becomes: $231 - 11$.
  4. Subtraction: Perform the final subtraction. Calculate $231 - 11$ resulting in $220$.

Final Result

The simplified value of the expression is $220$.

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Important Questions from Integers

  1. Find the number of integers between $1$ and $150$ (inclusive) having $7$ as one of the digits but which are not divisible by $7$.

  2. Integers are listed from 700 to 1000. In how many integers is the sum of the digits 10 ?

  3. Using 2, 2, 3, 3, 3 as digits, how many distinct numbers greater than 30000 can be formed ?

  4. Consider the following statements :

    1. The sum of 5 consecutive integers can be 100.

    2 The product of three consecutive natural numbers can be equal to their sum.

    Which of the above statements is/are correct ? 

  5. The difference between a 2-digit number and the number obtained by interchanging the positions of the digits is 54.

    Consider the following statements:

    1. The sum of the two digits of the number can be determined only if the product of the two digits is known.

    2. The difference between the two digits of the number can be determined.

    Which of the above statements is/are correct?

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