Which combination of mathematical signs given in the options will sequentially replace the * signs in the following equation to balance it? 200 * 2 * 10 * 8 * 40 * 20
÷,=,×,+,-
Balancing the Equation
The question asks to find the correct sequence of mathematical signs to replace the asterisks (*) in the equation: $200 * 2 * 10 * 8 * 40 * 20$ to make it balanced.
Testing the Operator Sequence
We test the sequence provided in Option B: $÷, =, ×, +, -$.
- Substitute the operators into the equation: $200 \div 2 = 10 \times 8 + 40 - 20$
- Evaluate the Left Hand Side (LHS): $LHS = 200 \div 2 = 100$
- Evaluate the Right Hand Side (RHS) following the order of operations (multiplication first, then addition/subtraction from left to right):
- Multiplication: $10 \times 8 = 80$
- The equation becomes: $80 + 40 - 20$
- Addition: $80 + 40 = 120$
- Subtraction: $120 - 20 = 100$
- So, $RHS = 100$
- Compare LHS and RHS: $100 = 100$
Since the LHS equals the RHS, this sequence of operators correctly balances the equation.
Important Questions from Mathematical Operations
Select the set, from the given options, in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(6, 13, 78)
(5, 22, 110)
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
28 - 6 ÷ 4 + 14 × 14 = ?
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 Operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 649 :: 956 : Y
Which two numbers should be interchanged to make the given equation correct?
75 ÷ 5 + 15 × 4 - 17 × 3 + (60 ÷ 6) × 10 = 100
(Note: Interchange should be done of the entire number and not individual digits of a given number.)
If '+' means minus, '-' means multiplication, '÷' means plus, and 'x' means division, then solve the equation:
15 - 3 + 10 x 5 ÷ 5
