- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 5902567
- Series
- C
RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 9
- Questions
- 100
- Maximum marks
- 100
- Minutes allowed
- 90
Instructions निर्देश
- This booklet has 100 questions in 3 parts: A. General Awareness (40), B. Mathematics (30), C. General Intelligence and Reasoning (30).
- You have 90 minutes for the whole paper. The clock starts when you break the seal.
- Each question has 4 options and one right answer. A right answer earns 1 mark. A wrong answer costs 0.33. A question left blank scores nothing.
- Fill one bubble per question on the answer sheet. Unlike a real sheet, you can clear it and change your mind.
Scripting is off, so this page is a printed paper: answer on paper, then open each question’s working.
Part AGeneral Awareness
-
In which year was CARTOSAT-1 launched?
Answer and working
-
What is the capital of Taiwan?
Answer and working
-
Consider the following pairs of rivers and where they flow:
How many of the pairs given above are correctly matched?River Flows into 1. Zanskar River Godavari River 2. Ganges Sutlej 3. Beas River Vembanad Answer and working
Answer D
1. wrong: Zanskar River goes with Indus River; 2. wrong: Ganges goes with Bay of Bengal; 3. wrong: Beas River goes with Sutlej. So: None of the pairs.
Source: Wikidata (CC0)
-
Aizawl is the capital of which state or union territory?
Answer and working
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Gulzar received the Dadasaheb Phalke Award for which year?
Answer and working
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Who was the President of India throughout 1984?
Answer and working
-
What is the atomic number of rhodium?
Answer and working
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Which of these Ramsar sites is in Assam?
Answer and working
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Which of these national parks is in Sikkim?
Answer and working
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World No Tobacco Day is observed on which date?
Answer and working
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Which of these organisations has its headquarters in Lyon?
Answer and working
-
Consider the following pairs of states and their capitals:
How many of the pairs given above are correctly matched?State or union territory Capital 1. Arunachal Pradesh Itanagar 2. Goa Panaji 3. Odisha Hyderabad Answer and working
Answer B
1. correct; 2. correct; 3. wrong: Odisha goes with Bhubaneswar. So: Only two pairs.
Source: Wikidata (CC0)
-
Which of these sportspersons is associated with mountaineering?
Answer and working
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Champaner-Pavagadh Archaeological Park, a UNESCO World Heritage Site, is in which state?
Answer and working
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What is the currency of Kuwait?
Answer and working
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Mukundra Hills Tiger Reserve is in which state?
Answer and working
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Which of these was written by Faiz Ahmad Faiz?
Answer and working
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The Damodar river flows into which?
Answer and working
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Agra Fort, a UNESCO World Heritage Site, is in which state?
Answer and working
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Which of these dams is on the Bhavani River?
Answer and working
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Nikhil Banerjee is known for playing which instrument?
Answer and working
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Qutb complex, a UNESCO World Heritage Site, is in which state?
Answer and working
-
What is the atomic number of potassium?
Answer and working
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In which year was Chandrasekhara Venkata Raman awarded the Bharat Ratna?
Answer and working
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Who was the Chief Justice of India throughout 1999?
Answer and working
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In which year was Great Himalayan National Park inscribed as a UNESCO World Heritage Site?
Answer and working
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Amrita Pritam received the Jnanpith Award in which year?
Answer and working
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Saddle Peak National Park is in which state?
Answer and working
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Who was the President of India throughout 2025?
Answer and working
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Where is the headquarters of the European Space Agency?
Answer and working
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Which day is observed on May 1?
Answer and working
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In which year was the Third Battle of Panipat fought?
Answer and working
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Who wrote ‘Kirātārjunīya’?
Answer and working
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Who was the first Chief Justice of India?
Answer and working
-
Consider the following pairs of countries and their capitals:
How many of the pairs given above are correctly matched?Country Capital 1. Saint Vincent and the Grenadines Praia 2. Egypt Cairo 3. Mexico Mexico City Answer and working
Answer B
1. wrong: Saint Vincent and the Grenadines goes with Kingstown; 2. correct; 3. correct. So: Only two pairs.
Source: Wikidata (CC0)
-
The Mauritanian ouguiya is the currency of which country?
Answer and working
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In which year was Uttarakhand formed as a state or union territory in its present form?
Answer and working
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Which of these sportspersons is associated with hockey?
Answer and working
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In which year was the Battle of Wandiwash fought?
Answer and working
-
Consider the following pairs of books and their authors:
How many of the pairs given above are correctly matched?Book Author 1. Mahan Kosh Kahn Singh Nabha 2. The Guide Amartya Sen 3. Volga Se Ganga Rahul Sankrityayan Answer and working
Answer B
1. correct; 2. wrong: The Guide goes with R. K. Narayan; 3. correct. So: Only two pairs.
Source: Wikidata (CC0)
Part BMathematics
-
A number is first increased by 25% and then decreased by 50%. What is the net change?
Answer and working
Answer C
Net effect = 25 − 50 − (25 × 50)/100 = −37.5%, so 37.5% decrease.
-
A bus goes from Pune to Nashik at 12 km/h and returns by the same road at 36 km/h. What is its average speed for the whole journey?
Answer and working
Answer D
For equal distances, average speed = 2xy/(x + y) = 2 × 12 × 36 ÷ 48 = 18 km/h. The plain average, 24, ignores that the slower leg takes longer.
-
What is the value of 99² − 38²?
Answer and working
Answer C
a² − b² = (a + b)(a − b) = 137 × 61 = 8,357.
-
A boat covers 40 km downstream in 5 hours and 24 km upstream in 4 hours. What is the speed of the stream?
Answer and working
Answer C
Downstream speed = 40 ÷ 5 = 8 km/h; upstream = 24 ÷ 4 = 6 km/h. Stream = (8 − 6) ÷ 2 = 1 km/h.
-
The present ages of Asha and her elder brother are in the ratio 7 : 8. After 3 years, the ratio will be 8 : 9. What is Asha’s present age?
Answer and working
Answer A
Ages 7x and 8x. (7x + 3) : (8x + 3) = 8 : 9 gives x = 3. Asha is 7 × 3 = 21 years.
-
Simplify: 89 + 15 × 2 − 12 ÷ 2
Answer and working
Answer D
Division and multiplication first: 15 × 2 = 30 and 12 ÷ 2 = 6. Then 89 + 30 − 6 = 113.
-
A and B together can do a job in 30 days. A alone can do it in 50 days. In how many days can B alone do it?
Answer and working
Answer A
B’s one day = 1/30 − 1/50 = 1/75. B alone takes 75 days.
-
₹19,810 is divided among Meera, Arjun and Kavya in the ratio 2 : 7 : 5. What is Arjun’s share?
Answer and working
Answer D
Total parts = 2 + 7 + 5 = 14. Arjun gets 7/14 × 19,810 = ₹9,905.
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Pipe A fills a tank in 12 hours; pipe B empties the full tank in 21 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer B
Net filling per hour = 1/12 − 1/21 = 1/28. Time = 28 hours.
-
A sum of money becomes three times itself in 8 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer C
The interest earned is 2 times the principal in 8 years. Rate = 2 × 100 / 8 = 25%.
-
In what ratio must rice at ₹36/kg be mixed with rice at ₹72/kg so that the mixture is worth ₹66/kg?
Answer and working
Answer C
By alligation: cheaper : dearer = (72 − 66) : (66 − 36) = 6 : 30 = 1 : 5.
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A cone has base radius 7 cm and height 24 cm. What is its volume? (π = 22/7)
Answer and working
Answer B
Volume = ⅓πr²h = ⅓ × 22/7 × 7² × 24 = 1,232 cm³.
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Solve for x: 7x + 12 = 4x − 3
Answer and working
Answer A
7x − 4x = −3 − 12, so 3x = −15 and x = −15 ÷ 3. x = −5.
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A train 280 m long passes a signal post in 14 seconds. What is its speed in km/h?
Answer and working
Answer D
Speed = 280 ÷ 14 = 20 m/s = 20 × 18/5 = 72 km/h.
-
Solve for x: 6x + 9 = 1x + 9
Answer and working
Answer B
6x − 1x = 9 − 9, so 5x = 0 and x = 0 ÷ 5. x = 0.
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What is the compound interest on ₹37,750 for 3 years at 20% per annum, compounded annually?
Answer and working
Answer D
Amount = 37,750 × (1 + 20/100)3 = ₹65,232. CI = 65,232 − 37,750 = ₹27,482.
-
What is the average of the first 41 natural numbers?
Answer and working
Answer C
Sum = 41 × 42/2, so the average is (41 + 1)/2 = 21.
-
What is the mean of these numbers: 25, 44, 11, 43, 33, 12, 40, 16, 37?
Answer and working
Answer A
Sum 261 ÷ 9 = 29.
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What is the fourth proportional to 13, 29 and 364?
Answer and working
Answer A
13 : 29 = 364 : x, so x = 29 × 364 ÷ 13 = 812.
-
140 is what percent of 160?
Answer and working
Answer A
140 ÷ 160 × 100 = 87.5%.
-
From a point on the ground 40 m from the foot of a tower, the angle of elevation of its top is 60°. How tall is the tower?
Answer and working
Answer A
Height = 40 × tan 60° = 40 × √3 = 40√3 m.
-
A rectangular plot has a perimeter of 68 m and a length of 24 m. What is its area?
Answer and working
Answer C
Length + breadth = 68 ÷ 2 = 34, so breadth = 10 m. Area = 24 × 10 = 240 m².
-
A box measures 7 cm × 5 cm × 10 cm. What is its volume?
Answer and working
Answer A
Volume = l × b × h = 7 × 5 × 10 = 350 cm³.
-
Each exterior angle of a regular polygon is 12°. How many sides does it have?
Answer and working
Answer C
Exterior angles add up to 360°, so the number of sides = 360 ÷ 12 = 30.
-
A shopkeeper marks his goods 30% above the cost price and allows a discount of 15%. What is his profit or loss percent?
Answer and working
Answer D
Take CP = 100. Marked price = 130. After 15% off: 130 × 85/100 = 110.5. So 10.5% profit.
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The HCF and LCM of two numbers are 9 and 630. If one of the numbers is 90, what is the other?
Answer and working
Answer B
HCF × LCM = product of the numbers, so the other = 9 × 630 ÷ 90 = 63.
-
A scooter runs at 144 km/h. What is its speed in metres per second?
Answer and working
Answer A
Multiply by 5/18: 144 × 5/18 = 40 m/s.
-
What is the average of the first 9 natural numbers?
Answer and working
Answer A
Sum = 9 × 10/2, so the average is (9 + 1)/2 = 5.
-
A shopkeeper marks his goods 30% above the cost price and allows a discount of 20%. What is his profit or loss percent?
Answer and working
Answer D
Take CP = 100. Marked price = 130. After 20% off: 130 × 80/100 = 104. So 4% profit.
-
What is the unit digit of 3384?
Answer and working
Answer A
The unit digits of the powers of 33 repeat in a cycle of 4: 3, 9, 7, 1. 84 is position 4 in that cycle (84 ÷ 4 leaves 0), so the unit digit is 1.
Part CGeneral Intelligence and Reasoning
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What is the angle between the hour and minute hands of a clock at 4:05?
Answer and working
Answer D
Angle = |30H − 5.5M| = |120 − 27.5| = 92.5°. Answer: 92.5°. The hour hand moves too, half a degree a minute, which is why it is not 90°.
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6 : 216 :: 4 : ?
Answer and working
Answer A
216 = 6³, the rule n³. For 4: 4³ = 64.
Directions for questions 73 to 73
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Esha sits somewhere to the right of Gopal. Exactly 2 people sit between Arun and Gopal. Divya sits third to the left of Farhan. Exactly 2 people sit between Bina and Esha. Gopal and Chetan sit next to each other. Exactly one person sits between Bina and Divya.-
Who sits at the extreme right end?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Gopal, Esha, Divya, Arun, Bina, Farhan. Farhan.
-
1 January 2003 was a Wednesday. What day of the week was 1 January 2004?
Answer and working
Answer D
2003 has 365 days: 1 odd day. Wednesday + 1 = Thursday.
-
Rekha walks 11 km towards the west. She turns right and walks 7 km. She turns right and walks 5 km. She turns right and walks 6 km. She turns left and walks 6 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer A
Taking east and north as positive: she ends 0 km east and 1 km north of the start. Distance = √(0² + 1²) = 1 km. 1 km, north.
-
Pointing to a man in a photograph, Kavita said, ‘He is the father of my brother’s only niece.’ How is the man related to Kavita?
Answer and working
Answer B
My brother’s only niece is my daughter, so he is my daughter’s father. So the man is Kavita’s husband.
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If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 52 × 5 ÷ 3 + 8 − 8?
Answer and working
Answer D
Replace the signs: 52 − 5 + 3 × 8 ÷ 8. Division and multiplication first, then addition and subtraction: 50.
-
Which number replaces the question mark? 3, 8, 15, 24, ?, 48
Answer and working
Answer B
The rule: the terms are 2², 3², 4² … minus 1. The missing term is 35.
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Y is the husband of C. G is the daughter of D. D is the sister of Y. How is G related to C?
Answer and working
Answer A
Follow the links out from C: Y is C’s husband; D is Y’s sister; G is D’s daughter. So G is C’s niece.
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If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 40 ÷ 8 − 5 + 20 × 8?
Answer and working
Answer D
Replace the signs: 40 − 8 × 5 ÷ 20 + 8. Division and multiplication first, then addition and subtraction: 46.
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ACE : CEG :: SUW : ?
Answer and working
Answer B
Each letter of ACE moves 2 forward to give CEG. Doing the same to SUW gives UWY.
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Sunil walks 11 km towards the north. He turns left and walks 5 km. He turns left and walks 11 km. How far is he from the starting point in a straight line?
Answer and working
Answer C
Taking east and north as positive: he ends 5 km west and 0 km north of the start. Straight-line distance = √(5² + 0²) = 5 km.
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In a certain code, APPLE is written as CNRJG. How is FISH written in that code?
Answer and working
Answer C
From APPLE → CNRJG: letters in odd places move 2 forward, letters in even places move 2 back. Applied to FISH: HGUF.
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Which one does not belong with the others?
Answer and working
Answer D
110, 88, 66 are multiples of 11; 58 is not. The odd one is 58.
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Which letter comes next? G, J, M, P, S, ?
Answer and working
Answer B
Each letter moves 3 places forward in the alphabet: G → J → M → P → S → V.
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Which one does not belong with the others?
Answer and working
Answer B
121, 169, 289 are perfect squares; 301 is not. The odd one is 301.
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Statements:
(1) All boxes are books.
(2) Some books are pens.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some books are boxes.
(II) No boxes are pens.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: boxes and pens may overlap. So: Only conclusion I follows.
-
Which number replaces the question mark? 9, 12, 18, 27, 39, 54, ?
Answer and working
Answer C
The rule: the differences grow by 3: 3, 6, 9, 12, 15, 18. The missing term is 72.
-
Which one does not belong with the others?
Answer and working
Answer C
In the others the letters are 1 apart (PQR); in ABD the last gap is 2. The odd one is ABD.
-
Which group comes next? GHI, KLM, OPQ, ?
Answer and working
Answer B
Inside each group the letters step by 1; each group starts 4 letters after the last (G, K, O). Next: STU.
-
In the English alphabet, which letter is 5th to the right of the 11th letter from the right?
Answer and working
Answer A
The 11th letter from the right is P (position 16). 5 places to the right: position 21, which is U.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 48 + 3 − 5 × 20 ÷ 9?
Answer and working
Answer A
Replace the signs: 48 ÷ 3 × 5 − 20 + 9. Division and multiplication first, then addition and subtraction: 69.
-
FH : EG :: QS : ?
Answer and working
Answer D
Each letter of FH moves 1 back to give EG. Doing the same to QS gives PR.
-
Statements:
(1) Some lamps are fans.
(2) Some planes are not fans.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some lamps are planes.
(II) Some planes are lamps.Answer and working
Answer D
Conclusion I need not hold: lamps and planes need not overlap at all. Conclusion II need not hold: planes and lamps need not overlap at all. So: Neither conclusion follows.
-
3 : 9 :: 7 : ?
Answer and working
Answer A
9 = 2 × 3 + 3, the rule 2n + 3. For 7: 2 × 7 + 3 = 17.
-
In a queue, Vikram is 15th from the front and Dev is 31st from the front. How many people stand between them?
Answer and working
Answer C
Between positions 15 and 31 there are 31 − 15 − 1 = 15 people.
-
In a certain code, GRAPE is written as JUDSH. How is LAMP written in that code?
Answer and working
Answer C
From GRAPE → JUDSH: each letter moves 3 places forward. Applied to LAMP: ODPS.
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In a certain code, TICKET is written as GRXPVG. How is FLOWER written in that code?
Answer and working
Answer B
From TICKET → GRXPVG: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to FLOWER: UOLDVI.
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In a certain code, DESK is written as BCQI. How is MILK written in that code?
Answer and working
Answer C
From DESK → BCQI: each letter moves 2 places back. Applied to MILK: KGJI.
-
Which one does not belong with the others?
Answer and working
Answer A
25, 49, 36 are perfect squares; 166 is not. The odd one is 166.