Q. 1
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Amna is 18 times older than her daughter Raiza. If Raiza is 6 years old, how old is Amna?
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Step-by-Step Explanation & Concept Rationale
Raiza is $ years old. Amna\'s age is: \[18 \times 6 = 108\text{ years}\] Thus, the correct option is (C).
Q. 2
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Ali is 18 years older than Rehan. 8 years ago, Ali was 6 times as old as Rehan. What is Ali\'s present age?
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Step-by-Step Explanation & Concept Rationale
Let Rehan\'s present age be $. Then Ali\'s present age is + 18$. 8 years ago: \[(R + 18) - 8 = 6(R - 8)\] \[R + 10 = 6R - 48 \implies 5R = 58 \implies R = 11.6\text{ years}\] Therefore, Ali\'s present age is: \[R + 18 = 11.6 + 18 = 29.6\text{ years}\] Thus, the correct option is (C).
Q. 3
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
A father is 7 times as old as his daughter. 7 years ago, he was 11 times as old as his daughter. What is the present age of the daughter?
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Step-by-Step Explanation & Concept Rationale
Let the daughter\'s present age be $. The father\'s present age is $. 7 years ago: \[7d - 7 = 11(d - 7)\] \[7d - 7 = 11d - 77 \implies 4d = 70 \implies d = 17.5\text{ years}\] Thus, the correct option is (B).
Q. 4
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
A person is $\frac{2}{5}$ as old as his mother. After 8 years, he will be $\frac{1}{2}$ as old as his mother. What is the present age of the mother?
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Step-by-Step Explanation & Concept Rationale
Let the mother\'s present age be $. The son\'s present age is $\frac{2}{5}M$. After 8 years: \[\frac{2}{5}M + 8 = \frac{1}{2}(M + 8)\] \[\frac{2}{5}M + 8 = \frac{1}{2}M + 4 \implies 8 - 4 = \frac{1}{2}M - \frac{2}{5}M \implies 4 = \frac{1}{10}M \implies M = 40\] Thus, the mother is $ years old. Thus, the correct option is (C).
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