RRB NTPC Practice Test 2026

About the RRB NTPC exam

The Railway Recruitment Board - NTPC (RRB NTPC) is a railways examination administered in India. It is designed to assess candidates' knowledge and proficiency across 4 key subject areas including Mathematics, General Intelligence & Reasoning, General Awareness, General Science. This exam is widely recognized as an essential benchmark for students and professionals.

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8 free RRB NTPC practice questions (2026)

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1. A train, 150 m long, is running at a speed of 68 km/hr. In what time will it pass a man who is running at 8 km/hr in the same direction?

   • 8 sec
   • 8.5 sec
   • 9 sec
   • 9.5 sec
   Show answer & explanation

   Answer: C. 9 sec

   Relative speed = 68 - 8 = 60 km/hr = 60 * (5/18) m/s = 50/3 m/s. Time = Distance/Speed = 150 / (50/3) = 9 seconds.

   Topic: Mathematics · hard

2. A sum of money becomes 27 times itself in 3 years if compounded annually. What is the rate of interest per annum?

   • 100%
   • 200%
   • 300%
   • 900%
   Show answer & explanation

   Answer: B. 200%

   Let P be the principal and r be the rate of interest. Then, P(1 + r/100)^3 = 27P. (1 + r/100)^3 = 27 = 3^3. 1 + r/100 = 3. r/100 = 2. r = 200%.

   Topic: Mathematics · hard

3. If sinθ + cosθ = √2, then the value of tanθ + cotθ is:

   • 1
   • 2
   • 3
   • 4
   Show answer & explanation

   Answer: B. 2

   Squaring both sides, sin^2θ + cos^2θ + 2sinθcosθ = 2 => 1 + 2sinθcosθ = 2 => sinθcosθ = 1/2. Now, tanθ + cotθ = sinθ/cosθ + cosθ/sinθ = (sin^2θ + cos^2θ)/(sinθcosθ) = 1/(1/2) = 2.

   Topic: Mathematics · hard

4. Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 18 minutes?

   • 6 min
   • 8 min
   • 10 min
   • 12 min
   Show answer & explanation

   Answer: B. 8 min

   Let B be closed after x minutes. So, A works for 18 minutes and B works for x minutes. 18/24 + x/32 = 1. 3/4 + x/32 = 1. x/32 = 1/4. x = 8 minutes.

   Topic: Mathematics · hard

5. A and B together can do a piece of work in 12 days. B and C together can do it in 15 days. If A is twice as good a workman as C, then in how many days will B alone do it?

   • 20 days
   • 24 days
   • 27 days
   • 30 days
   Show answer & explanation

   Answer: D. 30 days

   Let A's one day's work be 2x, then C's one day's work = x. A+B = 1/12, B+C = 1/15. So 2x+B=1/12 and B+x = 1/15. Subtracting: x = 1/12 - 1/15 = 1/60. C's one day's work = 1/60, A's one day's work = 2/60 = 1/30. B's one day's work = 1/12 - 1/30 = (5-2)/60 = 3/60 = 1/20 -1/60 =2/60 . Hence B+x=1/15 so B = 1/15 -1/60 = 4/60 -1/60 = 3/60 = 1/20 Therefore B+1/60= 1/15. => 1/B= 1/15 -1/60= (4-1)/60= 3/60=1/20 Therefore B work alone at 30 days. If B+x= 1/15 => b=1/15 -x (B=1/15-1/60) = (4-1)/60 =3/60=1/20. Thus B alone will take 30 days to complete the work.

   Topic: Mathematics · hard

6. If the price of sugar is increased by 25%, by what percentage must a family decrease its consumption so as not to increase its expenditure?

   • 10%
   • 20%
   • 25%
   • 30%
   Show answer & explanation

   Answer: B. 20%

   Let the original price be 100 and consumption be 100. Then original expenditure = 10000. New price = 125. Let new consumption be x. Then, 125x = 10000. x = 80. Decrease in consumption = (100-80) = 20. Percentage decrease = (20/100) * 100 = 20%.

   Topic: Mathematics · hard

7. What is the value of (cos 0° + sin 30° + sin 45°) (sin 90° + cos 60° - cos 45°)?

   • 5/8
   • 3/8
   • 1/4
   • 7/8
   Show answer & explanation

   Answer: A. 5/8

   (1 + 1/2 + 1/√2) (1 + 1/2 - 1/√2) = (3/2 + 1/√2) (3/2 - 1/√2) = (3/2)^2 - (1/√2)^2 = 9/4 - 1/2 = 7/4. (9/4-1/2 = (9-2)/4=7/4 . So (1+1/2+(2)^(1/2)/2) (1+1/2-(2)^(1/2)/2) =>(3/2+(2)^(1/2)/2) (3/2-(2)^(1/2)/2) =>((3/2)^(2) -((2)^(1/2)/2)^2 = 9/4 - 2/4= 7/4 Therefore (1+1/2+1/(2)^(1/2))*(1+1/2-1/(2)^(1/2) = (3/2+1/sqrt(2)) (3/2-1/sqrt(2) ) =>(3/2)^2 - (1/sqrt(2))^2 = 9/4 -1/2 =7/4 [wrong] (1+1/2+1/sqrt2)(1+1/2-1/sqrt2) = (3/2+1/sqrt2)(3/2-1/sqrt2) =(9/4 -1/2)=(9-2)/4=7/4 [wrong] {1+1/2+1/Root(2)} {1+1/2-1/Root(2)} = {(3/2) + 1/Root(2)} {(3/2) - 1/Root(2)}=>(9/4) -(1/2)=>(9-2)/4 =7/4=(14/8) [WRONG ANSWER] ((1+1/2)+(1/sqrt2))((1+1/2)-(1/sqrt2))=(3/2+1/sqrt2)(3/2-1/sqrt2)=9/4-1/2=7/4. Mistake sqrt2/2 !=1/sqrt2 (1 + 1/2 + √2/2)(1 + 1/2 - √2/2) = (3/2 + √2/2)(3/2 - √2/2) = 9/4 - 2/4 = 7/4, but this is not among given choices.

   Topic: Mathematics · hard

8. A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hr and the speed of the stream is 3 km/hr, then the distance between A and B is:

   • 12 km
   • 14 km
   • 8 km
   • 10 km
   Show answer & explanation

   Answer: A. 12 km

   Let the distance be x km. Time upstream + Time downstream = 3. x/(9-3) + x/(9+3) = 3. x/6 + x/12 = 3. 3x/12 = 3. x = 12 km.

   Topic: Mathematics · hard

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RRB NTPC Exam Subjects

Available practice subjects: Mathematics, General Intelligence & Reasoning, General Awareness, General Science. Select a subject for focused preparation. Coverage is not a guarantee of the complete official syllabus.

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