Question : 7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?
Option 1: 3
Option 2: 1
Option 3: 5
Option 4: 4
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Correct Answer: 5
Solution : Let $x$ be the original number. According to the question, $\frac{(x+7)×5}{3}$ – 4 = 16 ⇒ $\frac{(x+7)×5}{3}$ = 16 + 4 = 20 ⇒ ($x$ + 7) × 5 = 20 × 3 = 60 ⇒ $x$ + 7 = $\frac{60}{5}$ = 12 ⇒ $x$ = 12 – 7 = 5 Hence, the correct answer is 5.
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Question : If a certain number of two digits is divided by the sum of its digits, the quotient is 6 and the remainder is 3. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is 4 and the remainder is 9. The sum of the digits of the number is:
Option 1: 6
Option 2: 9
Option 3: 12
Question : 9435 is added to 7593, then 2607 is subtracted from the sum. The result is divisible by:
Option 1: 4
Option 2: 10
Option 3: 3
Option 4: 5
Question : If $\frac{1}{2} $ is added to a number and the sum is multiplied by 3, the result is 21. Then the number is:
Option 1: 6.5
Option 2: 5.5
Option 3: 4.5
Option 4: –6.5
Question : A number when divided by 7 leaves a remainder of 4. If the square of the same number is divided by 7, then what is the remainder?
Option 3: 4
Option 4: 2
Question : Directions: If K denotes multiplied by, M denotes subtracted from, J denotes added to and L denotes divided by, then 44 M 24 K 56 L 14 J 60 = ?
Option 1: 16
Option 2: 72
Option 3: 8
Option 4: 140
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