Question : Directions: Some equations have been solved based on a certain system. Find out the correct answer for the unsolved equation on that basis. If 29 × 13 = 14, 76 × 26 = 34, then 64 × 14 = ?
Option 1: 39
Option 2: 32
Option 3: 26
Option 4: 54
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Correct Answer: 26
Solution : Given: 29 × 13 = 14; 76 × 26 = 34; 64 × 14 = ?
Here, add the first and second numbers and divide the resultant by 3, to get the third number – 29 × 13 = 14→29 + 13 = 42; 42 ÷ 3 = 14 76 × 26 = 34→76 + 26 = 102; 102 ÷ 3 = 34 Similarly, follow the same pattern for 64 × 14 = ?→64 + 14 = 78; 78 ÷ 3 = 26
So, 26 is the required missing number. Hence, the third option is correct.
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Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 14 × 8 + 64 ÷ 32 – 2 = 88
Option 1: 8 and 32; × and +
Option 2: 14 and 2; × and +
Option 3: 8 and 2; – and ÷
Option 4: 32 and 64; + and ÷
Question : Directions: Which of the following interchange of signs would make the given equation correct? 13 + 26 × 2 – 5 ÷ 4 = 6
Option 1: ÷ and +
Option 2: + and –
Option 3: × and –
Option 4: × and ÷
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct: 19 × 12 - 51 ÷ 34 + 17 = 197
Option 1: 17 and 51, × and –
Option 2: 51 and 17, × and ÷
Option 3: 34 and 51, × and +
Option 4: 34 and 51, + and ÷
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 23 × 13 – 195 ÷ 17 + 40 = 366
Option 1: 23 and 40; × and –
Option 2: 23 and 17; × and ÷
Option 3: 13 and 17; × and +
Option 4: 13 and 17; + and –
Question : Directions: By interchanging which two signs will the equation be correct? 19 + 36 × 12 ÷ 4 – 26 = 5
Option 1: + and –
Option 2: ÷ and –
Option 3: × and ÷
Option 4: + and ×
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