In this type of questions, question is provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression or choosing the correct/incorrect equation. You have to put the real signs in the given equation and then solve the questions as required. If '*' stands for '-', '$' stands for '×', '!' stands for '÷', '~' stands for '+', then find the value of: 14 ! 6 * 3 * 5 = ?
\(-\frac{17}{3}\)
This is a symbol-substitution question: we must first replace the coded symbols with their real mathematical signs, then evaluate the expression.
From the key, '!' stands for ÷ and '*' stands for -, while '$' means × and '~' means + (the last two do not appear here).
Substituting the signs, the expression 14 ! 6 * 3 * 5 becomes \(14 \div 6 - 3 - 5\).
By the BODMAS order of operations, division is carried out before subtraction, so we compute the division first: \(14 \div 6 = \frac{14}{6} = \frac{7}{3}\).
The expression now reads \(\frac{7}{3} - 3 - 5\). Combining the two whole numbers, \(3 + 5 = 8\), gives \(\frac{7}{3} - 8\).
Writing 8 with denominator 3, \(8 = \frac{24}{3}\), so \(\frac{7}{3} - \frac{24}{3} = \frac{7 - 24}{3} = -\frac{17}{3}\).
The key concept is that in coded-symbol problems the real signs are substituted first and then BODMAS decides the sequence of operations.
Hence the value is \(-\frac{17}{3}\).
Similar Questions
In this type of questions, question is provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression or choosing the correct/incorrect equation. You have to put the real signs in the given equation and then solve the questions as required.
If '&' stands for '+', '~' stands for '÷', '?' stands for '-', '$' stands for '×', then find the value of: 6 $ 15 & 11 $ 5 = ?
If 3 ! 50 = 900 and 19 ! 27 = 3078, then what is the value of 38 ! 49?
If 117 " 78 = 13 and 192 " 9 = 61, then what is the value of 114 " 12?
If 'A' means '+', 'B' means '−', 'C' means '÷' and 'D' means '×', then which of the following equation is correct?
I. 45 A 13 B 38 C 19 D 6 = 46
II. 13 A 47 B 36 C 4 D 5 = 15
If '+' means '−', '−' means '×', '×' means '÷' and '÷' means '+', then 12 × 4 ÷ 22 + 5 − 3 = ?
In this type of questions, question is provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression or choosing the correct/incorrect equation. You have to put the real signs in the given equation and then solve the questions as required.
If '%' stands for '×', '~' stands for '-', '!' stands for '÷', '*' stands for '+', then find the value of: 4 * 12 % 9 % 10 = ?
In this type of questions, question is provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression or choosing the correct/incorrect equation. You have to put the real signs in the given equation and then solve the questions as required.
If '#' stands for '+', '%' stands for '-', '@' stands for '×', '&' stands for '÷', then find the value of: 10 @ 3 @ 4 # 14 = ?
After interchanging the given two numbers (not digits), what will be the value of the given equation?
2 and 5
5 × 4 + 2 − 8 ÷ 4 = ?
If 'P' means '+', 'Q' means '÷', 'R' means '×' and 'S' means '−', then 42 Q 7 R 3 P 6 S 2 = ?
By interchanging the given two numbers (not digits) which of the following equation will NOT be correct?
3 and 7
I. 7 × 9 + 3 − 8 ÷ 2 = 30
II. 2 × 3 + 7 − 4 ÷ 1 = 13
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 ‘A’ stands for ‘\(\div \)', ‘B’ stands for ‘x', ‘C’ stands for ‘+', ‘D’ stands for ‘-', what will come in the place of the question mark '?' in the following equation?
225 B 15 A 15 C 125 D 225 = ?
