Question : Directions: Some equations are solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis. 4 × 5 = 42 5 × 6 = 56 6 × 7 = 72 7 × 8 = ?
Option 1: 84
Option 2: 90
Option 3: 92
Option 4: 102
Correct Answer: 90
Solution : Given: 4 × 5 = 42; 5 × 6 = 56; 6 × 7 = 72; 7 × 8 = ?
Add 2 to each number and then multiply the resultant numbers, to get the required missing number – 4 × 5 = 42→(4 + 2) × (5 + 2) = 42 5 × 6 = 56→(5 + 2) × (6 + 2) = 56 6 × 7 = 72→(6 + 2) × (7 + 2) = 72 Similarly, follow the same pattern for 7 × 8 = ? – 7 × 8→(7 + 2) × (8 + 2) = 90
So, 90 is the required missing number. Hence, the second option is correct.
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Question : Directions: Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. 5 * 6 = 35; 8 * 4 = 28; 6 * 8 = ?
Option 1: 46
Option 2: 34
Option 3: 23
Option 4: 38
Question : Directions: Some equations are solved based on a certain system. Find out the correct answer for the unsolved equation on that basis. 7 @ 6 @ 4 = 674, 8 @ 5 @ 3 = 583, 9 @ 1 @ 2 = ?
Option 1: 292
Option 2: 727
Option 3: 192
Option 4: 462
Question : Directions: Some equations are solved based on certain systems. On the same basis, find the correct answer from amongst the four alternatives for the unsolved equation in the question. a = 12(390)8; b = 7(134)5; c = 5(?)12
Option 1: 299
Option 2: 289
Option 3: 279
Option 4: 280
Question : Directions: If + means –, – means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation? 14 – 7 ÷ 42 × 6 + 33 = ?
Option 1: 72
Option 2: 84
Option 3: 68
Option 4: 56
Question : Directions: Which two digits and signs can be interchanged to balance the given equation? 25 – 9 + 42 ÷ 6 × 7 = 17
Option 1: 9 and 6; + and ×
Option 2: 2 and 5; ÷ and ×
Option 3: 5 and 7; – and ÷
Option 4: 4 and 6; + and ÷
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