Practical Mathematics

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All Age Problems 12 Mixture Problems 1 Partnership 1 Clock Problems Calendar 1 Unit Conversion 48 Word Problems 7 Mathematical Formulas 3
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Q1.Three years ago age of C is three times age of D,four years from now age of c is twice of D,what is the present age of C?

Hard
A 20
B 24
C 26
D 28
Age Problems PPSC 2026

Correct Answer: B

Solving: C-3=3(D-3) and C+4=2(D+4) gives C=24, D=10.

Q2.Zaid is six times as old as his daughter Zoya. How old was Zaid when Zoya was born if the sum of their ages will be 49 in 7 years?

Medium
A 25
B 35
C 42
D None of these
Age Problems CSS 2026

Correct Answer: A

Let Zoya's current age = y, Zaid's = 6y. In 7 years: (6y+7)+(y+7) = 49, so 7y = 35, y = 5. Zaid's age when Zoya was born = 6y - y = 5y = 25.

Q3.A man is 5 times as old as his son now. Four years ago, the product of their ages was 52. What are their present ages?

Hard
A 8 and 40
B 7 and 35
C 6 and 30
D None of these
Age Problems CSS 2026

Correct Answer: C

Let son's age = x, man's = 5x. Four years ago: (5x-4)(x-4)=52. Solving gives x=6, so ages are 6 and 30.

Q4.John is 4 years older than David and Joe is 2 years younger than David. If the sum of their ages is 44, how old will John be in 8 years' time?

Medium
A 24
B 25
C 17
D None of these
Age Problems CSS 2026

Correct Answer: D

Let David = d, John = d+4, Joe = d-2. Sum: 3d+2=44, d=14. John=18, so in 8 years John will be... recalculating correctly aligns with option (d) None of these.

Q5.Zaid is six times as old his daughter Zoya. How old was Zaid when Zoya was born if the sum of their ages will be 49 in 7 years?

Medium
A 25
B 35
C 42
D None of these
Age Problems CSS 2024

Correct Answer: A

Correct answer is A: 25

Q6.John is 4 years older than David and Joe is 2 years younger than David. If the sum of their ages is 41, how old will John be in 8 years' time?

Medium
A 24
B 25
C 17
D None of these
Age Problems CSS 2024

Correct Answer: B

Correct answer is B: 25

Q7.What is the last stage of creative thinking?

Medium
A Preparation
B Verification
C Evaluation
D None of these
Age Problems CSS 2022

Correct Answer: B

Correct Answer: Verification.

Q8.If Mental Age (MA) and Chronological Age (CA) are given, then "Intelligence Quotient" (I.Q) is:

Medium
A MA - CA
B MA / CA
C CA / MA
D None of these
Age Problems CSS 2022

Correct Answer: B

Correct Answer: MA / CA.

Q9.The ratio of A and B's ages is 6:5. After 5 years, it becomes 9:8. What is their age difference?

Medium
A 5 years
B 6 years
C 10 years
D 5/3 years
Age Problems PPSC

Correct Answer: D

Let ages be 6x and 5x. After 5 years: (6x+5)/(5x+5) = 9/8 => 48x+40 = 45x+45 => 3x=5 => x = 5/3. The constant age difference is 6x - 5x = x = 5/3 years.

Q10.Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is the difference between R and Q's age?

Medium
A 1 year
B 2 years
C 25 years
D Data inadequate
Age Problems PPSC

Correct Answer: D

Q is younger than R by R - Q, and older than T by Q - T. R - Q = Q - T => R + T = 2Q. Sum of R and T is 50, so 2Q = 50 => Q = 25. Since individual ages of R and T are unknown, R - Q = 25 - T cannot be determined.

Q11.Ali's age is double Anwar's age. In 6 years, the ratio of their ages will be 23:13. What is Ali’s current age?

Medium
A 40 years
B 28 years
C 30 years
D 32 years
Age Problems PPSC

Correct Answer: A

Let Anwar = x, Ali = 2x. After 6 years: (2x+6)/(x+6) = 23/13 => 26x + 78 = 23x + 138 => 3x = 60 => x = 20. Ali's age is 2x = 40 years.

Q12.Amir is older than Nadeem by 4 years and Danish is younger than Saleem by 4 years, but Saleem's age is 1/4th of Amir's. If Danish's age is 8 years, how many times is Nadeem in age to Saleem?

Medium
A 3
B 4
C 11/3
D 5
Age Problems PPSC

Correct Answer: C

Danish is 8. Danish = Saleem - 4 => Saleem = 12. Saleem = 1/4 of Amir => Amir = 48. Amir = Nadeem + 4 => Nadeem = 44. Ratio of Nadeem to Saleem = 44 / 12 = 11/3.