Mathematical Abilities Practice MCQs & Answers

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Mathematical Abilities is a crucial section in the SSC MTS 2025 examination, designed to test a candidate’s numerical aptitude and problem-solving skills. This section includes questions from topics such as arithmetic, algebra, percentages, simple and compound interest, time and work, geometry, and more.

To help aspirants strengthen their preparation, we have compiled a set of carefully selected multiple-choice questions (MCQs) based on previous patterns and expected difficulty levels. Practice these questions along with the given options to enhance your speed and accuracy for the upcoming exam.

SSC MTS 2025: Mathematical Abilities Practice Questions with AnswersSSC MTS 2025: Mathematical Abilities Practice Questions with Answers
SSC MTS 2025 Mathematical Abilities Practice Questions with Answers

SSC MTS 2025: Mathematical Abilities Practice Questions

Here are the MCQs:

1.Pipes A and B, when working together, can fill an empty tank in 8 hours. If B is stopped after 2 hours, it will take a total of 11 hours to fill the tank. How long would it take A to fill the empty tank alone?

  • a) 13 hours
  • b) 12 hours
  • c) 16 hours
  • d) 15 hours

2. One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 8 hours, can fill the empty cistern in 8 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?

3. Two pipes A and B can fill an empty cistern in 32 and 48 hours, respectively. Pipe C can drain the entire cistern in 64 hours when no other pipe is in operation. Initially, when the cistern was empty, Pipe A and Pipe C were turned on. After a few hours, Pipe A was turned off, and Pipe B was turned on instantly. In all, it took 112 hours to fill the cistern. For how many hours was Pipe B turned on?

4. What will be the perimeter of a rectangle with a length of 13 cm and a breadth of 5 cm?

  • (a) 34 cm
  • (b) 36 cm
  • (c) 30 cm
  • (d) 38 cm

5. A boy and his father have a combined age of 72 years. The father’s age is 4 times that of the son. What is the father’s age?

  • (a) 40 years
  • (b) 48 years
  • (c) 50 years
  • (d) 42 years

6. Some workers can complete a job in a few days. If the number of workers is increased from 48 to 140, how many times faster will the work be completed?

  • (a) 25
  • (b) 23
  • (c) 26
  • (d) 24

7. An auto-rickshaw travels at a speed of 40 km/h. If it runs for 2 hours and 30 minutes and takes a 1-hour break, what distance will it cover in total?

  • (a) 120 km
  • (b) 140 km
  • (c) 160 km
  • (d) 200 km

8. If a landowner sells land worth ₹18,700 and earns a 15% profit, what was the cost price of the land?

  • (a) ₹22,500
  • (b) ₹21,000
  • (c) ₹25,300
  • (d) ₹25,800

9. A clock is set right at 5 o’clock. It gains 1 minute every hour. What will be the time shown on Sunday 12:00 noon if it was set correctly on Friday at 5:00 PM?

  • (a) 12:10 PM
  • (b) 11:58 AM
  • (c) 12:02 PM
  • (d) 11:58 AM

10. The LCM of two numbers is 451. If the GCD is 1/9 of the LCM, what is the GCD?

  • (a) 100
  • (b) 150
  • (c) 250
  • (d) 200

Also Read: RRB GROUP D 2025: Most Important Questions on Light – Practice with Answers

11. A product is marked at ₹500. After two successive discounts of 20% and 10%, what will be the final selling price?

  • (a) ₹350
  • (b) ₹375
  • (c) ₹360
  • (d) ₹400

12. If the simple interest on a certain sum for 1/4​ years is 41/40​ of the principal, what is the rate of interest?

  • (a) 1%
  • (b) 1.6%
  • (c) 2.5%
  • (d) 5%

13. What will be the compound interest on ₹10,000 at a rate of 4% per annum for 2 years?

  • (a) ₹636.80
  • (b) ₹824.32
  • (c) ₹912.86
  • (d) ₹828.82

14. The age ratio of two persons is 4 : 7, and one person is 30 years older than the other. What is the sum of their ages?

  • (a) 99 years
  • (b) 121 years
  • (c) 132 years
  • (d) 110 years

15. The corresponding sides of two similar angles are:

  • (a) Corresponding
  • (b) Equal
  • (c) Proportional
  • (d) None of these

16. A father’s current age is 34 years more than his son’s age. Twelve years ago, the father’s age was 18 times his son’s age. What is the son’s current age?

  • (a) 12 years
  • (b) 13 years
  • (c) 14 years
  • (d) 15 years

17. A shopkeeper sold an item at a 20% loss. If he had sold it for 200 rupees more, he would have made a 5% profit. What is the cost price of the item?

  • (a) 600 rupees
  • (b) 700 rupees
  • (c) 800 rupees
  • (d) 1200 rupees

18. An item is sold by A to B at a 20% loss, and then sold by B to C at a 20% profit. If A had received the same price that C paid, what would A’s profit or loss percentage be?

  • (a) 4% profit
  • (b) 4% loss
  • (c) 5% profit
  • (d) 5% loss

19. A person bought two houses for 6450 rupees each. He sold the first house at a 10% profit and the second at a 6% loss. What is his total profit or loss?

  • (a) 250 rupees loss
  • (b) 251 rupees profit
  • (c) 260 rupees loss
  • (d) 258 rupees profit

20. A radio was sold at a 12% profit. If the cost price had been 10% less and the selling price 5.75 rupees higher, the profit would have been 30%. What would the selling price be at a 20% profit?

  • (a) 138 rupees
  • (b) 140 rupees
  • (c) 142 rupees
  • (d) 148 rupees

Also Read: SSC MTS Practice Questions: Reasoning, GK & Aptitude MCQs

21. A boat travels 40 km downstream in 4 hours. If the speed of the boat in still water is 4 km/h, what is the speed of the current?

  • (a) 3 km/h
  • (b) 2 km/h
  • (c) 4 km/h
  • (d) 5 km/h

22. A boat can travel at 9 km/h downstream and 5 km/h upstream. What are the actual speed of the boat and the speed of the current?

  • (a) 7 km/h, 2 km/h
  • (b) 6 km/h, 2 km/h
  • (c) 4 km/h, 3 km/h
  • (d) 9 km/h, 4 km/h

23. If 15 workers can harvest 18 bighas of land in 5 days, how many days will it take for 10 workers to harvest 24 bighas?

  • (a) 12 days
  • (b) 11 days
  • (c) 10 days
  • (d) 15 days

24. Forty people can build a 20-meter wall in 15 days. How many people are needed to build a 25-meter wall in 6 days?

  • (a) 100 people
  • (b) 120 people
  • (c) 130 people
  • (d) 125 people

25. A country’s population increases by 7% every 10 years. If the current population is 4,007,150, what was the population 20 years ago?

  • (a) 3,500,000
  • (b) 3,200,000
  • (c) 3,600,000
  • (d) 3,000,000

26. In a school, 90% of students pass in Bengali, 85% pass in Math, and 150 students pass in both subjects. If no student fails in both subjects, what is the total number of students in the school?

  • (a) 180
  • (b) 200
  • (c) 220
  • (d) 250

27. Due to a 20% decrease in the price of sugar, a person can buy 500 grams more sugar for 18 rupees. What was the original price of sugar per kilogram?

  • (a) 4 rupees
  • (b) 7 rupees
  • (c) 10 rupees
  • (d) 9 rupees

28. What will be the simple interest on 500 rupees at an annual interest rate of 5% over 5 years?

  • (a) 100 rupees
  • (b) 120 rupees
  • (c) 125 rupees
  • (d) 150 rupees

29. Two mixtures have acid and water in the ratio 4 : 5 and 5 : 6, respectively. In which mixture is the proportion of water higher?

  • (a) The first mixture
  • (b) The second mixture
  • (c) Both are equal
  • (d) None of these

30. 750 rupees was divided among A, B, and C such that A : B = 5 : 2 and B : C = 7 : 13. How much does each person receive?

  • (a) A 350 rupees, B 140 rupees, C 260 rupees
  • (b) A 307 rupees, B 130 rupees, C 263 rupees
  • (c) A 364 rupees, B 120 rupees, C 276 rupees
  • (d) A 350 rupees, B 125 rupees, C 280 rupees

Also Read: RRB NTPC 2025 Special: Practice Questions on Indian Drainage System

Answers SSC MTS 2025: Mathematical Abilities Practice Questions

  1. (b)
  2. (c)
  3. (d)
  4. (a)
  5. (d)
  6. (c)
  7. (b)
  8. (c)
  9. (d)
  10. (a)
  11. (c)
  12. (a)
  13. (b)
  14. (b)
  15. (c)
  16. (a)
  17. (c)
  18. (b)
  19. (b)
  20. (c)
  21. (a)
  22. (b)
  23. (a)
  24. (b)
  25. (c)
  26. (d)
  27. (c)
  28. (c)
  29. (b)
  30. (d)

Also Read: RRB NTPC 2025 Model MCQs: Boost Your Preparation

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