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Defence | ITBP Constable (GD & Tradesman)

Mathematics for ITBP Constable (GD & Tradesman)

ITBP Constable (GD & Tradesman) sets 25 Mathematics questions for 25 marks in the Written Examination (CBT / OMR), so it is worth planning your preparation around the topics below.

25 questions25 marks5 topics

How to approach Mathematics in ITBP Constable (GD & Tradesman)

The quantitative core of the railway papers: arithmetic, mensuration, and time-speed-distance built on a secondary-school foundation. Fluency with fractions, percentages and ratios underlies almost every question, so that is where practice pays back fastest.

Weightage in the paper

How much Mathematics is worth in each ITBP Constable (GD & Tradesman) stage, from the official pattern.

StageQuestionsMarksTimeShare
Written Examination (CBT / OMR)2525—25%

Mathematics syllabus for ITBP Constable (GD & Tradesman)

Every topic in the official syllabus. The linked ones open a set of solved questions you can practise straight away.

  • Number system and basic arithmetic
  • Percentage, ratio, proportion and averages
  • Profit and loss, simple and compound interest
  • Time and work, time, speed and distance
  • Simple mensuration and basic geometry

Sample Mathematics questions with solutions

Written to the ITBP Constable (GD & Tradesman) pattern, with the answer key and the method behind it — a look at how the section is actually set before you drill the full topic sets.

Percentage · solved example

A ration store has 500 kg of supplies. If 12% is kept as emergency reserve, how many kilograms are available for daily issue?

  • 440 kgCorrect
  • 460 kg
  • 450 kg
  • 488 kg

Solution

Reserve = 12% of 500 = 60 kg. Available = 500 − 60 = 440 kg.

Simple interest · solved example

Find the simple interest on Rs 5,000 at 8% per annum for 3 years.

  • Rs 1,200Correct
  • Rs 1,000
  • Rs 1,500
  • Rs 800

Solution

SI = P × R × T / 100 = 5000 × 8 × 3 / 100 = 1,200 rupees.

Ratio · solved example

Divide Rs 720 among A and B in the ratio 5 : 4. How much does A receive?

  • Rs 400Correct
  • Rs 320
  • Rs 360
  • Rs 450

Solution

A's share = 5/(5+4) × 720 = 5/9 × 720 = 400 rupees.

Time and distance · solved example

A vehicle covers 180 km in 4 hours. What is its average speed in km/h?

  • 45 km/hCorrect
  • 40 km/h
  • 50 km/h
  • 48 km/h

Solution

Average speed = distance ÷ time = 180 ÷ 4 = 45 km/h.

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Sit Mathematics under a real clock

Mathematics shows up in every ITBP Constable (GD & Tradesman) mock test, in the same interface, with sectional locking and negative marking.

  • ITBP Constable (GD & Tradesman): 16-question practice mock

    16 questions | 20 min

    Start

Frequently asked questions

How many Mathematics questions are asked in ITBP Constable (GD & Tradesman)?

ITBP Constable (GD & Tradesman) 2024 cycle (latest concluded) sets 25 Mathematics questions for 25 marks in the Written Examination (CBT / OMR).

Is there negative marking for Mathematics in ITBP Constable (GD & Tradesman)?

No. The ITBP Constable (GD & Tradesman) written stage carries no negative marking, so it is worth attempting every Mathematics question you can.

Which Mathematics topics matter most for ITBP Constable (GD & Tradesman)?

The ITBP Constable (GD & Tradesman) syllabus lists Number system and basic arithmetic, Percentage, ratio, proportion and averages, Profit and loss, simple and compound interest, Time and work, time, speed and distance, Simple mensuration and basic geometry. Weight your revision towards the ones you are weakest on and confirm the emphasis against the paper analysis for recent cycles.

How can I practise Mathematics for ITBP Constable (GD & Tradesman) free?

Every Mathematics question on this site is free and written to the exam pattern. Use the topic drills for instant-feedback practice, the daily quiz to keep the section warm, and the ITBP Constable (GD & Tradesman) mock tests to sit it under a real clock with negative marking.