- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 2645401
- Series
- D
RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 8
- 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
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Where is the headquarters of the World Intellectual Property Organization?
Answer and working
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In which year was the Battle of Khanwa fought?
Answer and working
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What is the atomic number of beryllium?
Answer and working
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Vijender Singh is associated with which sport?
Answer and working
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Which of these tiger reserves is in Karnataka?
Answer and working
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Which of these rivers flows into the Rann of Kutch?
Answer and working
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World Press Freedom Day is observed on which date?
Answer and working
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Where is the headquarters of the Organisation for the Prohibition of Chemical Weapons?
Answer and working
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What is the atomic number of magnesium?
Answer and working
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Bansagar Dam is built on which river?
Answer and working
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In which year was Bidhan Chandra Roy awarded the Bharat Ratna?
Answer and working
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Jaipur is the capital of which state or union territory?
Answer and working
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Who was the Governor of the Reserve Bank of India throughout 2023?
Answer and working
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Which of these musicians is known for the sarod?
Answer and working
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Karimpuzha National Park is in which state?
Answer and working
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The Guinean franc is the currency of which country?
Answer and working
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Rajinikanth received the Dadasaheb Phalke Award for which year?
Answer and working
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Deepika Kumari is associated with which sport?
Answer and working
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Consider the following pairs of organisations and their headquarters:
How many of the pairs given above are correctly matched?Organisation Headquarters 1. International Hydrographic Organization Washington, D.C. 2. Food and Agriculture Organization of the United Nations Rome 3. European Free Trade Association Geneva Answer and working
Answer B
1. wrong: International Hydrographic Organization goes with Monaco; 2. correct; 3. correct. So: Only two pairs.
Source: Wikidata (CC0)
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World Water Day is observed on which date?
Answer and working
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Who was the Governor of the Reserve Bank of India throughout 1991?
Answer and working
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In which year was the Battle of Diu fought?
Answer and working
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In which year was Telangana formed as a state or union territory in its present form?
Answer and working
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Ali Sardar Jafri received the Jnanpith Award in which year?
Answer and working
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In which year was Agra Fort inscribed as a UNESCO World Heritage Site?
Answer and working
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The Moldovan leu is the currency of which country?
Answer and working
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Who was the Chief Justice of India throughout 1982?
Answer and working
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Kathmandu is the capital of which country?
Answer and working
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What is the capital of South Korea?
Answer and working
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Jantar Mantar, a UNESCO World Heritage Site, is in which state?
Answer and working
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Who was the Prime Minister of India throughout 1958?
Answer and working
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Kanwar Lake Bird Sanctuary, a Ramsar wetland, is in which state?
Answer and working
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Campbell Bay National Park is in which state?
Answer and working
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The Gandaki river flows into which?
Answer and working
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Who wrote ‘The Reconstruction of Religious Thought in Islam’?
Answer and working
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Manas National Park, a UNESCO World Heritage Site, is in which state?
Answer and working
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What is the capital of Haryana?
Answer and working
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In which year was IRNSS-1B launched?
Answer and working
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Which of these was written by Kahn Singh Nabha?
Answer and working
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Hampi, a UNESCO World Heritage Site, is in which state?
Answer and working
Part BMathematics
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What is the mode of these numbers: 14, 43, 30, 18, 43, 38, 43?
Answer and working
Answer C
43 occurs most often (3 times): 43.
-
Two successive discounts of 10% and 30% are equal to a single discount of:
Answer and working
Answer A
Single discount = 10 + 30 − (10 × 30)/100 = 37%. The second discount is taken on the already reduced price, so the two do not simply add.
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A boat covers 70 km downstream in 5 hours and 72 km upstream in 6 hours. What is the speed of the boat in still water?
Answer and working
Answer C
Downstream speed = 70 ÷ 5 = 14 km/h; upstream = 72 ÷ 6 = 12 km/h. Boat = (14 + 12) ÷ 2 = 13 km/h.
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The HCF and LCM of two numbers are 9 and 567. If one of the numbers is 81, what is the other?
Answer and working
Answer A
HCF × LCM = product of the numbers, so the other = 9 × 567 ÷ 81 = 63.
-
What is the average of 49, 89, 50, 70 and 52?
Answer and working
Answer B
Sum = 310. Average = 310 ÷ 5 = 62.
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What is the compound interest on ₹10,625 for 2 years at 4% per annum, compounded annually?
Answer and working
Answer C
Amount = 10,625 × (1 + 4/100)2 = ₹11,492. CI = 11,492 − 10,625 = ₹867.
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Section A has 44 students with an average score of 56; section B has 44 students averaging 44. What is the average score of both sections together?
Answer and working
Answer B
(44 × 56 + 44 × 44) ÷ 88 = 4400 ÷ 88 = 50. The plain mean of 56 and 44 ignores the sizes of the sections.
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Ramesh can finish a piece of work in 18 days and Suresh can finish it in 90 days. Working together, how long will they take?
Answer and working
Answer D
In one day they do 1/18 + 1/90 = 1/15 of the work. Time = 18 × 90 ÷ (18 + 90) = 15 days.
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The fare for a journey goes from ₹960 to ₹480. What is the percentage decrease?
Answer and working
Answer B
Change = ₹480. On the original value: 480 ÷ 960 × 100 = 50%, a 50% decrease. Dividing by the new value, 480, is the usual slip.
-
From a point on the ground 75 m from the foot of a tower, the angle of elevation of its top is 30°. How tall is the tower?
Answer and working
Answer A
Height = 75 × tan 30° = 75 × 1/√3 = 25√3 m.
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Solve for x: 8x − 7 = 4x − 11
Answer and working
Answer B
8x − 4x = −11 + 7, so 4x = −4 and x = −4 ÷ 4. x = −1.
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If A : B = 4 : 3 and B : C = 6 : 5, what is A : B : C?
Answer and working
Answer D
Make B the same in both: A : B = 24 : 18 and B : C = 18 : 15. So A : B : C = 8 : 6 : 5.
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A train 270 m long crosses a platform 450 m long in 48 seconds. What is the speed of the train?
Answer and working
Answer D
It must cover its own length and the platform: 270 + 450 = 720 m in 48 s, so 15 m/s = 15 × 18/5 = 54 km/h.
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If A : B = 5 : 3 and B : C = 7 : 3, what is A : B : C?
Answer and working
Answer C
Make B the same in both: A : B = 35 : 21 and B : C = 21 : 9. So A : B : C = 35 : 21 : 9.
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If x + 1⁄x = 3, what is x³ + 1⁄x³?
Answer and working
Answer C
x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 27 − 9 = 18.
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How many diagonals does a polygon with 12 sides have?
Answer and working
Answer A
n(n − 3)/2 = 12 × 9 ÷ 2 = 54.
-
54 litres of a mixture contains milk and water in the ratio 7 : 2. How much water must be added to make the ratio 2 : 1?
Answer and working
Answer A
Milk = 42 l, water = 12 l. For 2 : 1, water must be 42 × 1/2 = 21 l. Add 21 − 12 = 9 litres.
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A train 270 m long passes a signal post in 9 seconds. What is its speed in km/h?
Answer and working
Answer B
Speed = 270 ÷ 9 = 30 m/s = 30 × 18/5 = 108 km/h.
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How many numbers from 450 to 1250 (both included) are divisible by 6?
Answer and working
Answer C
Multiples of 6 up to 1250: 208. Up to 449: 74. Difference = 134.
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Simplify: 1⁄2 + 4⁄5 + 1⁄2
Answer and working
Answer C
Over the common denominator 20: the sum is 9⁄5. Adding tops and bottoms separately (11/16) is the trap.
-
A train 450 m long passes a signal post in 30 seconds. What is its speed in km/h?
Answer and working
Answer D
Speed = 450 ÷ 30 = 15 m/s = 15 × 18/5 = 54 km/h.
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Simplify: 1⁄3 + 1⁄4 + 1⁄5
Answer and working
Answer B
Over the common denominator 120: the sum is 47⁄60. Adding tops and bottoms separately (5/21) is the trap.
-
The sum of the present ages of a father and his son is 58 years. 2 years ago, the father was 5 times as old as the son. How old is the son now?
Answer and working
Answer C
Let the son be s. Then (58 − s − 2) = 5(s − 2), so 66 = 6s and s = 11 years.
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What is the circumference of a circle of radius 7 cm? (Take π = 22/7.)
Answer and working
Answer C
Circumference = 2πr = 2 × 22/7 × 7 = 44 cm.
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A shopkeeper marks his goods 60% above the cost price and allows a discount of 20%. What is his profit or loss percent?
Answer and working
Answer B
Take CP = 100. Marked price = 160. After 20% off: 160 × 80/100 = 128. So 28% profit.
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96 is what percent of 400?
Answer and working
Answer D
96 ÷ 400 × 100 = 24%.
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The simple interest on a sum for 5 years at 7% per annum is ₹12,250. What is the sum?
Answer and working
Answer C
P = SI × 100 / (R × T) = 12,250 × 100 / (7 × 5) = ₹35,000.
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Pipe A fills a tank in 14 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 D
Net filling per hour = 1/14 − 1/21 = 1/42. Time = 42 hours.
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The two sides containing the right angle of a triangle are 5 cm and 12 cm. What is its area?
Answer and working
Answer C
Area = ½ × 5 × 12 = 30 cm².
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Section A has 16 students with an average score of 45; section B has 16 students averaging 55. What is the average score of both sections together?
Answer and working
Answer C
(16 × 45 + 16 × 55) ÷ 32 = 1600 ÷ 32 = 50. The plain mean of 45 and 55 ignores the sizes of the sections.
Part CGeneral Intelligence and Reasoning
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Which one does not belong with the others?
Answer and working
Answer D
73, 13, 53 are prime; 81 = 3 × 27. The odd one is 81.
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Which number replaces the question mark? 4, 5, 12, 39, ?, 805
Answer and working
Answer C
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 160.
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Which number replaces the question mark? 14, 16, 19, 23, 28, 34, ?
Answer and working
Answer D
The rule: the differences grow by 1: 2, 3, 4, 5, 6, 7. The missing term is 41.
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Today is Thursday. What day of the week will it be 109 days from today?
Answer and working
Answer B
109 ÷ 7 leaves 4. 4 days on from Thursday is Monday.
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Which one does not belong with the others?
Answer and working
Answer D
324, 36, 361 are perfect squares; 42 is not. The odd one is 42.
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In a certain code, GLASS is written as 58. How is MIRROR written in that code?
Answer and working
Answer A
GLASS = 58 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For MIRROR: 13 + 9 + 18 + 18 + 15 + 18 = 91.
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Pointing to a man in a photograph, Neha said, ‘He is the only son of my mother’s father.’ How is the man related to Neha?
Answer and working
Answer D
The only son of my mother’s father is my mother’s brother. So the man is Neha’s uncle.
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Which one does not belong with the others?
Answer and working
Answer B
67, 79, 29 are prime; 39 = 3 × 13. The odd one is 39.
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Deepak walks 10 km towards the north. He turns left and walks 13 km. He turns right and walks 3 km. He turns left and walks 8 km. Which direction is he facing now?
Answer and working
Answer A
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs West.
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Pointing to a woman in a photograph, Harish said, ‘She is the only daughter of my father’s mother.’ How is the woman related to Harish?
Answer and working
Answer A
My father’s mother’s only daughter is my father’s sister. So the woman is Harish’s aunt.
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If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 44 + 5 − 6 × 3 ÷ 4?
Answer and working
Answer D
Replace the signs: 44 − 5 + 6 ÷ 3 × 4. Division and multiplication first, then addition and subtraction: 47.
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What is the angle between the hour and minute hands of a clock at 4:45?
Answer and working
Answer D
Angle = |30H − 5.5M| = |120 − 247.5| = 127.5°. Answer: 127.5°. The hour hand moves too, half a degree a minute, which is why it is not 150°.
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7 : 56 :: 6 : ?
Answer and working
Answer C
56 = 7 × 8, the rule n(n + 1). For 6: 6 × 7 = 42.
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Statements:
(1) All chairs are shirts.
(2) All birds are chairs.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All birds are shirts.
(II) Some shirts are not chairs.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the shirts may be chairs. So: Only conclusion I follows.
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Statements:
(1) Some boxes are coins.
(2) No cups are coins.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All boxes are cups.
(II) Some coins are cups.Answer and working
Answer D
Conclusion I need not hold: some boxes may lie outside cups. Conclusion II need not hold: coins and cups need not overlap at all. So: Neither conclusion follows.
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4 : 20 :: 6 : ?
Answer and working
Answer C
20 = 4 × 5, the rule n(n + 1). For 6: 6 × 7 = 42.
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In the English alphabet, which letter is 9th to the right of the 6th letter from the left?
Answer and working
Answer A
The 6th letter from the left is F (position 6). 9 places to the right: position 15, which is O.
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DE : FG :: ST : ?
Answer and working
Answer D
Each letter of DE moves 2 forward to give FG. Doing the same to ST gives UV.
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In a certain code, TRAIN is written as GIZRM. How is GRAPE written in that code?
Answer and working
Answer C
From TRAIN → GIZRM: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to GRAPE: TIZKV.
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If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 41 × 10 − 5 + 12 ÷ 10?
Answer and working
Answer C
Replace the signs: 41 − 10 ÷ 5 × 12 + 10. Division and multiplication first, then addition and subtraction: 27.
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Neha walks 8 km towards the west. She turns right and walks 4 km. She turns left and walks 4 km. She turns right and walks 3 km. She turns right and walks 12 km. How far is she from the starting point in a straight line?
Answer and working
Answer B
Taking east and north as positive: she ends 0 km east and 7 km north of the start. Straight-line distance = √(0² + 7²) = 7 km.
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Which letter comes next? W, S, O, K, G, ?
Answer and working
Answer B
Each letter moves 4 places back in the alphabet: W → S → O → K → G → C.
-
Which one does not belong with the others?
Answer and working
Answer B
In the others the letters are 2 apart (JLN); in ACF the last gap is 3. The odd one is ACF.
Directions for questions 94 to 94
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Arun sits somewhere to the right of Divya. Chetan does not sit next to Bina. Arun and Farhan sit next to each other. Exactly 2 people sit between Chetan and Arun. Esha sits third to the left of Bina. Chetan sits at one of the two ends.-
Who sits exactly between Divya and Arun?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Divya, Esha, Arun, Farhan, Bina. Esha.
-
In a queue, Lata is 13th from the front and Sohan is 22nd from the front. How many people stand between them?
Answer and working
Answer A
Between positions 13 and 22 there are 22 − 13 − 1 = 8 people.
-
In a certain code, MARKET is written as LZQJDS. How is MONEY written in that code?
Answer and working
Answer C
From MARKET → LZQJDS: each letter moves 1 place back. Applied to MONEY: LNMDX.
-
Which pair comes next? DX, EU, FR, GO, ?
Answer and working
Answer B
The first letters move forward 1 (D, E, F, G); the second move back 3 (X, U, R, O). Next: HL.
-
5 : 13 :: 9 : ?
Answer and working
Answer A
13 = 2 × 5 + 3, the rule 2n + 3. For 9: 2 × 9 + 3 = 21.
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In a certain code, FISH is written as ITJG. How is WATER written in that code?
Answer and working
Answer D
From FISH → ITJG: the word is written backwards and each letter moves 1 forward. Applied to WATER: SFUBX.
-
Which number replaces the question mark? 27, 64, 125, 216, ?, 512
Answer and working
Answer B
The rule: the terms are 3³, 4³, 5³ …. The missing term is 343.