If 689 $ 32 ! 16 = 691 and 697 $ 100 ! 10 = 707, then what is the value of 299 $ 39 ! 13?
302
We are told that the symbols $ and ! stand for hidden arithmetic operations, and we must decode them from the two sample equations.
Take the first example: 689 $ 32 ! 16 = 691. Notice that dividing 32 by 16 gives 2, and 689 + 2 = 691.
Check with the second example: 697 $ 100 ! 10 = 707. Here 100 divided by 10 is 10, and 697 + 10 = 707, which matches.
So the rule is: first number + (second number divided by third number).
In symbols, A $ B ! C means A + (B divided by C).
Apply this to 299 $ 39 ! 13: first compute 39 divided by 13, which equals 3.
Now add: 299 + 3 = 302.
Therefore the value of the expression is 302, matching the second option. The correct answer is 302.
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 = ?
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 = ?
If 'P' means '+', 'Q' means '÷', 'R' means '×' and 'S' means '−', then 42 Q 7 R 3 P 6 S 2 = ?
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 = ?
