Practice Ages MCQs for NTS ZTBL (Agricultural Bank) Mathematics — topic-wise sets with solved answers.
Q1. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________?
Answer: 54.68
Explanation: The correct value is 54.68. Apply the formula or arithmetic step shown in the question and
Q2. A construction project can be completed by 150 workers in 40 days. The project manager brings in 30 more workers after 16 days. In how many days will the remaining work be finished?
Answer: 20 days
Explanation: The correct value is 20 days. Apply the formula or arithmetic step shown in the question and
Q3. A is two years older than B, who is twice as old as C. If the sum of the ages of A, B, and C is 27, how old is B?
Answer: 10 years
Explanation: Setting C = x: B = 2x, A = 2x + 2; total = 5x + 2 = 27 → x = 5, so B = 10 years.
Q4. The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of clerks in the office?
Answer: 170
Explanation: Let n = number of clerks; (600×2 + 84n)/(2+n) = 90 → 1200 + 84n = 180 + 90n → n = 170.
Q5. If the average of 5, 6, 7, and X is 10, what is the value of 'X'?
Answer: 22
Explanation: (5 + 6 + 7 + X)/4 = 10 → 18 + X = 40 → X = 22.
Q6. The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Answer: 31
Explanation: Total runs = (20×40) + (10×13) = 800 + 130 = 930; average over 30 matches = 930/30 = 31.
Q7. The average age of 5 members of a family is 24 years. If the age of the youngest member is 12 years, what is the average age of the other 4 members?
Answer: 27 years
Explanation: Total age of 5 members = 120 years; remaining 4 members' total = 120 − 12 = 108; average = 108/4 = 27 years.
Q8. The average weight of 8 persons is increased by 2.5 kg when one of them, who weighs 56 kg, is replaced by a new person. What is the weight of the new person?
Answer: 76 kg
Explanation: The correct value is 76 kg. Apply the formula or arithmetic step shown in the question and
Q9. An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?
Answer: 3
Explanation: Difference in pay = 4956 − 3894 = Rs.1062; daily wage = 4956/14 = Rs.354; absent days = 1062/354 = 3 days.
Q10. The population of a certain village is 62,500. What will its population be after 3 years if it increases geometrically at a rate of 4% annually?
Answer: 70304
Explanation: Population after 3 years = 62500 × (1.04)³ = 62500 × 1.124864 = 70,304.
Q11. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class. Average
Answer: 48.55 kg
Explanation: Total weight = (16×50.25 + 8×45.15) = 804 + 361.2 = 1165.2 kg; average = 1165.2/24 = 48.55 kg.
Q12. How many shares of market value Rs. 25 each can be purchased for Rs. 12750, brokerage being 2%?
Answer: 500
Explanation: Cost per share with 2% brokerage = Rs.25 × 1.02 = Rs.25.50; shares = 12750/25.50 = 500.
Q13. The average of 10 numbers is 23. If each number is increased by 4, what will the new average?
Answer: 27
Explanation: When every number increases by the same amount, the average increases by that same amount: 23 + 4 = 27.
Q14. If the average marks of three batches of 55, 60, and 45 students are 50, 55, and 60 respectively, what are the average marks of all the students combined?
Answer: 54.68
Explanation: The correct value is 54.68. Apply the formula or arithmetic step shown in the question and
Q15. Five years ago, the average age of A and B was 15 years. The average age of A, B, and C today is 20 years. How old will C be in 10 years?
Answer: 30 years
Explanation: Five years ago A+B averaged 15, so current A+B = 40; today A+B+C = 60; C = 20, and in 10 years C will be 30.
Q16. Eight years ago, Zahid's age was 4/3 times that of Shahid. Eight years hence, Zahid's age will be 6/5 times that of Shahid. What is the present age of Zahid?
Answer: 40 years
Explanation: Let Zahid's present age = Z, Shahid's = S; (Z−8) = (4/3)(S−8) and (Z+8) = (6/5)(S+8); solving gives Z = 40.
Q17. A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is:
Answer: 15
Explanation: Let son's current age = s; father = 3s; five years ago: 3s−5 = 4(s−5) → 3s−5 = 4s−20 → s = 15.
Q18. A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings?
Answer: 37
Explanation: Let average after 16 innings = a; (16a+85)/17 = a+3 → a = 34; average after 17th innings = 37.
Q19. The average runs of a cricket player for 10 innings was 32. How many runs must he make in his next innings to increase his average by 4 runs?
Answer: 76
Explanation: The correct value is 76. Apply the formula or arithmetic step shown in the question and
Q20. David obtained 76, 65, 82, 67, and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry, and Biology. What are his average marks?
Answer: 75
Explanation: The correct value is 75. Apply the formula or arithmetic step shown in the question and
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