Question : What are the values of ‘&’ and ‘#’, respectively, if the following number is perfectly divisible by 9? 51&918#0
Option 1: 9 and 8
Option 2: 2 and 2
Option 3: 4 and 5
Option 4: 8 and 4
Correct Answer: 8 and 4
Solution : Divisibility rule of 9 ⇒ If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. 51&918#0 = 5 + 1 + & + 9 + 1 + 8 + # + 0 = 24 + & + # The nearest multiple of 9 is 27, 36. So, & + # should be either 3 or 12. So, from the options, we can infer that 8 + 4 = 12 $\therefore$ 51891840 = 5 + 1 + 8 + 9 + 1 + 8 + 4 + 0 = 36 Since 36 is divisible by 9, the number formed is perfectly divisible by 9. Hence, the correct answer is 8 and 4.
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Question : What are the values of R and M, respectively, if the given number is perfectly divisible by 16 and 11? 34R05030M6
Option 1: 4 and 6
Option 2: 7 and 5
Option 3: 5 and 5
Option 4: 5 and 7
Question : If the number 476xy0 is divisible by both 3 and 11, then in the hundredth and tenth places, the non-zero digits are, respectively:
Option 1: 2 and 3
Option 2: 3 and 2
Option 3: 5 and 8
Option 4: 8 and 5
Question : What are the values of $x$ and $y$, respectively, from the following equations? $6x + 7y = 5xy$ $10y – 4x = 4xy$
Option 1: 3 and 4
Option 2: 4 and 5
Option 3: 2 and 4
Option 4: 2 and 5
Question : Directions: If ‘+’ means ‘–’, ‘–’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, then what will come in place of the question mark (?) in the following equation?
124 × 4 ÷ 13 – 3 + 36 = ?
Option 1: 31
Option 2: 34
Option 3: 45
Option 4: 42
Question : Directions: If 1 @ 9 & 5 = 14 and 2 & 4 @ 3 = 14, then 7 @ 9 & 9 = ?
Option 1: 72
Option 2: 70
Option 3: 68
Option 4: 64
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