Question : Directions: A father is 5 times as old as his son. His son is 6 years old. After how many years, will the father be 4 times as old as his son?
Option 1: 5 years
Option 2: 6 years
Option 3: 4 years
Option 4: 2 years
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Correct Answer: 2 years
Solution : Given: The present age of the son = 6 years The father's present age is five times the age of his son, ⇒ Father's present age = 6 × 5 = 30 years
Let's assume that after Y years, his father's age will be four times his son's age. After Y years, Father's age = (30 + Y) years, his son's age = (6 + Y) years
According to the given statement, ⇒ 4 × (6 + Y) = (30 + Y) ⇒ 24 + 4Y = 30 + Y ⇒ 4Y – Y = 30 – 24 ⇒ 3Y = 6 ⇒ Y = 2
So, after 2 years the age of the father will be 4 times as old as his son. Hence, the fourth option is correct.
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Question : Directions: If 4 × 2 × 6 = 1626, 3 × 7 × 4 = 974, then 5 × 6 × 8 = ?
Option 1: 2568
Option 2: 5664
Option 3: 6456
Option 4: 3658
Question : Directions: By interchanging the given two numbers (not digits) which of the following equations will not be correct? 5 and 6
Option 1: 6 × 8 – 5 × 4 = 16
Option 2: 5 × 2 – 4 + 6 = 13
Option 3: 5 – 3 × 6 + 4 = –3
Option 4: 6 – 5 + 2 = 1
Question : Directions: The mother was three times the age of her daughter five years ago. After five years, the mother will be twice as old as her daughter. How old is the daughter today?
Option 2: 10 years
Option 3: 15 years
Option 4: 20 years
Question : Directions: If 2 + 3 + 5 = 30; 3 + 4 + 6 = 72; 5 + 6 + 2 = 60; then 5 + 4 + 0 = ?
Option 1: 40
Option 2: 30
Option 3: 0
Option 4: None
Question : Directions: After interchanging which two signs, the value of the given equation will be 1? 3 ÷ 1 + 6 × 2 – 5
Option 1: + and –
Option 2: ÷ and +
Option 3: × and –
Option 4: ÷ and ×
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