RRB NTPC CBT 1 (Graduate and Undergraduate)Paper 7, booklet 2940670

Test booklet
प्रश्न पुस्तिका
Booklet No.
2940670
Series
A

RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 7

Questions
100
Maximum marks
100
Minutes allowed
90

Roll No. assigned when you start

Instructions निर्देश

  1. This booklet has 100 questions in 3 parts: A. General Awareness (40), B. Mathematics (30), C. General Intelligence and Reasoning (30).
  2. You have 90 minutes for the whole paper. The clock starts when you break the seal.
  3. 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.
  4. 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

40 questions, 1 mark each, 0.33 off for a wrong answer

  1. In which year was Great Living Chola Temples inscribed as a UNESCO World Heritage Site?
    Answer and working

    Answer

    Great Living Chola Temples: 1987.

    Source: Wikidata (CC0)

  2. What is the capital of São Tomé and Príncipe?
    Answer and working

    Answer

    São Tomé and Príncipe: São Tomé.

    Source: Wikidata (CC0)

  3. Which of these World Heritage Sites is in Telangana?
    Answer and working

    Answer

    Telangana: Ramappa Temple.

    Source: Wikidata (CC0)

  4. Which of these rivers flows into the Godavari?
    Answer and working

    Answer

    Godavari River: Indravati River.

    Source: Wikidata (CC0)

  5. Which element has the symbol Ne?
    Answer and working

    Answer

    Ne is Neon.

    Source: Wikidata (CC0)

  6. In which year was GSAT-19 launched?
    Answer and working

    Answer

    GSAT-19: 2017.

    Source: Wikidata (CC0)

  7. Consider the following pairs of countries and their capitals:
    CountryCapital
    1.QatarDoha
    2.Bosnia and HerzegovinaSarajevo
    3.AzerbaijanBaku
    How many of the pairs given above are correctly matched?
    Answer and working

    Answer

    1. correct; 2. correct; 3. correct. So: All three pairs.

    Source: Wikidata (CC0)

  8. In which year was Jharkhand formed as a state or union territory in its present form?
    Answer and working

    Answer

    Jharkhand: 2000.

    Source: Wikidata (CC0)

  9. World Day Against Child Labour is observed on which date?
    Answer and working

    Answer

    World Day Against Child Labour: June 12.

    Source: Wikidata (CC0)

  10. In which year was the Second Battle of Tarain fought?
    Answer and working

    Answer

    Second Battle of Tarain: 1192.

    Source: Wikidata (CC0)

  11. Dachigam National Park is in which state?
    Answer and working

    Answer

    Dachigam National Park: Jammu and Kashmir.

    Source: Wikidata (CC0)

  12. In which year was the Second Battle of Tarain fought?
    Answer and working

    Answer

    Second Battle of Tarain: 1192.

    Source: Wikidata (CC0)

  13. The Lao kip is the currency of which country?
    Answer and working

    Answer

    Lao kip: Laos.

    Source: Wikidata (CC0)

  14. Which of these sportspersons is associated with archery?
    Answer and working

    Answer

    archery: Deepika Kumari.

    Source: Wikidata (CC0)

  15. What is the chemical symbol of vanadium?
    Answer and working

    Answer

    Vanadium: V.

    Source: Wikidata (CC0)

  16. Who was the Vice President of India throughout 2008?
    Answer and working

    Answer

    Mohammad Hamid Ansari held the office from 2007 to 2017.

    Source: Wikidata (CC0)

  17. Consider the following pairs of states and their capitals:
    State or union territoryCapital
    1.TripuraHyderabad
    2.OdishaBhubaneswar
    3.Tamil NaduDispur
    How many of the pairs given above are correctly matched?
    Answer and working

    Answer

    1. wrong: Tripura goes with Agartala; 2. correct; 3. wrong: Tamil Nadu goes with Chennai. So: Only one pair.

    Source: Wikidata (CC0)

  18. The Mechi river flows into which?
    Answer and working

    Answer

    Mechi River: Mahananda River.

    Source: Wikidata (CC0)

  19. Consider the following pairs of organisations and their headquarters:
    OrganisationHeadquarters
    1.International Astronomical UnionNew York City
    2.South Asian Association for Regional CooperationKathmandu
    3.International Cricket CouncilKuala Lumpur
    How many of the pairs given above are correctly matched?
    Answer and working

    Answer

    1. wrong: International Astronomical Union goes with Paris; 2. correct; 3. wrong: International Cricket Council goes with Dubai. So: Only one pair.

    Source: Wikidata (CC0)

  20. Who wrote ‘Tryst with Destiny’?
    Answer and working

    Answer

    Tryst with Destiny: Jawaharlal Nehru.

    Source: Wikidata (CC0)

  21. What is the currency of Saudi Arabia?
    Answer and working

    Answer

    Saudi Arabia: Saudi riyal.

    Source: Wikidata (CC0)

  22. B. Nagi Reddy received the Dadasaheb Phalke Award for which year?
    Answer and working

    Answer

    B. Nagi Reddy: 1986.

    Source: Wikidata (CC0)

  23. Who was the Governor of the Reserve Bank of India throughout 2014?
    Answer and working

    Answer

    Raghuram Rajan held the office from 2013 to 2016.

    Source: Wikidata (CC0)

  24. Khangchendzonga National Park, a UNESCO World Heritage Site, is in which state?
    Answer and working

    Answer

    Khangchendzonga National Park: Sikkim.

    Source: Wikidata (CC0)

  25. Who was the Vice President of India throughout 2000?
    Answer and working

    Answer

    Krishan Kant held the office from 1997 to 2002.

    Source: Wikidata (CC0)

  26. Malampuzha Dam is built on which river?
    Answer and working

    Answer

    Malampuzha Dam: Malampuzha River.

    Source: Wikidata (CC0)

  27. What is the chemical symbol of calcium?
    Answer and working

    Answer

    Calcium: Ca.

    Source: Wikidata (CC0)

  28. What is the capital of Lakshadweep?
    Answer and working

    Answer

    Lakshadweep: Kavaratti.

    Source: Wikidata (CC0)

  29. Who was the President of India throughout 1988?
    Answer and working

    Answer

    R. Venkataraman held the office from 1987 to 1992.

    Source: Wikidata (CC0)

  30. Consider the following pairs of organisations and their headquarters:
    OrganisationHeadquarters
    1.European Central BankFrankfurt
    2.Organization for Security and Co-operation in EuropeVienna
    3.European CommissionAuckland
    How many of the pairs given above are correctly matched?
    Answer and working

    Answer

    1. correct; 2. correct; 3. wrong: European Commission goes with Brussels. So: Only two pairs.

    Source: Wikidata (CC0)

  31. Consider the following pairs of books and their authors:
    BookAuthor
    1.Pather PanchaliSafiur Rahman Mubarakpuri
    2.Fazail-e-AmaalFaiz Ahmad Faiz
    3.The Secrets of the SelfAmrita Pritam
    How many of the pairs given above are correctly matched?
    Answer and working

    Answer

    1. wrong: Pather Panchali goes with Bibhutibhushan Bandyopadhyay; 2. wrong: Fazail-e-Amaal goes with Zakariyya Kandhlawi; 3. wrong: The Secrets of the Self goes with Muhammad Iqbal. So: None of the pairs.

    Source: Wikidata (CC0)

  32. M. T. Vasudevan Nair received the Jnanpith Award in which year?
    Answer and working

    Answer

    M. T. Vasudevan Nair: 1995.

    Source: Wikidata (CC0)

  33. Consider the following pairs of national parks and their states:
    National parkState
    1.Saddle Peak National ParkAndaman and Nicobar Islands
    2.Singalila National ParkAndaman and Nicobar Islands
    3.Guindy National ParkSikkim
    How many of the pairs given above are correctly matched?
    Answer and working

    Answer

    1. correct; 2. wrong: Singalila National Park goes with West Bengal; 3. wrong: Guindy National Park goes with Tamil Nadu. So: Only one pair.

    Source: Wikidata (CC0)

  34. Tadoba-Andhari Tiger Reserve is in which state?
    Answer and working

    Answer

    Tadoba-Andhari Tiger Reserve: Maharashtra.

    Source: Wikidata (CC0)

  35. In which year was Dhondo Keshav Karve awarded the Bharat Ratna?
    Answer and working

    Answer

    Dhondo Keshav Karve: 1958.

    Source: Wikidata (CC0)

  36. International Yoga Day is observed on which date?
    Answer and working

    Answer

    International Yoga Day: June 21.

    Source: Wikidata (CC0)

  37. Which of these sportspersons is associated with archery?
    Answer and working

    Answer

    archery: Deepika Kumari.

    Source: Wikidata (CC0)

  38. Zakir Hussain is known for playing which instrument?
    Answer and working

    Answer

    Zakir Hussain: tabla.

    Source: Wikidata (CC0)

  39. What is the capital of Monaco?
    Answer and working

    Answer

    Monaco: Monaco.

    Source: Wikidata (CC0)

  40. Nalbana Bird Sanctuary, a Ramsar wetland, is in which state?
    Answer and working

    Answer

    Nalbana Bird Sanctuary: Odisha.

    Source: Wikidata (CC0)

Part BMathematics

30 questions, 1 mark each, 0.33 off for a wrong answer

  1. The simple interest on a sum for 2 years at 12% per annum is ₹11,640. What is the sum?
    Answer and working

    Answer

    P = SI × 100 / (R × T) = 11,640 × 100 / (12 × 2) = ₹48,500.

  2. A shopkeeper marks an article 20% above its cost price and allows a discount of 15%. If the article was sold for ₹1,479, what was its cost price?
    Answer and working

    Answer

    SP = CP × 1.2 × 0.85 = CP × 1.02. So CP = 1,479 ÷ 1.02 = ₹1,450.

  3. What is the fourth proportional to 14, 2 and 84?
    Answer and working

    Answer

    14 : 2 = 84 : x, so x = 2 × 84 ÷ 14 = 12.

  4. From a point on the ground 60 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

    Height = 60 × tan 60° = 60 × √3 = 60√3 m.

  5. A train 200 m long crosses a platform 460 m long in 44 seconds. What is the speed of the train?
    Answer and working

    Answer

    It must cover its own length and the platform: 200 + 460 = 660 m in 44 s, so 15 m/s = 15 × 18/5 = 54 km/h.

  6. Simplify: 3⁄5 + 3⁄4 + 1⁄2
    Answer and working

    Answer

    Over the common denominator 120: the sum is 37⁄20. Adding tops and bottoms separately (18/30) is the trap.

  7. Section A has 15 students with an average score of 76; section B has 45 students averaging 44. What is the average score of both sections together?
    Answer and working

    Answer

    (15 × 76 + 45 × 44) ÷ 60 = 3120 ÷ 60 = 52. The plain mean of 76 and 44 ignores the sizes of the sections.

  8. ₹22,125 is divided among Ravi, Sunita and Imran in the ratio 3 : 7 : 5. What is Sunita’s share?
    Answer and working

    Answer

    Total parts = 3 + 7 + 5 = 15. Sunita gets 7/15 × 22,125 = ₹10,325.

  9. If a + b = 19 and ab = 84, what is a² + b²?
    Answer and working

    Answer

    a² + b² = (a + b)² − 2ab = 361 − 168 = 193.

  10. What is the median of these numbers: 12, 14, 12, 47, 25, 57, 30, 52, 41?
    Answer and working

    Answer

    In order: 12, 12, 14, 25, 30, 41, 47, 52, 57. The middle value is 30.

  11. What is the smallest number which, when divided by 15, 18 or 4, leaves a remainder of 2 in each case?
    Answer and working

    Answer

    LCM of 15, 18, 4 = 180. Add the remainder: 180 + 2 = 182.

  12. Two successive discounts of 25% and 20% are equal to a single discount of:
    Answer and working

    Answer

    Single discount = 25 + 20 − (25 × 20)/100 = 40%. The second discount is taken on the already reduced price, so the two do not simply add.

  13. Pipe A fills a tank in 24 hours; pipe B empties the full tank in 30 hours. If both are opened together on an empty tank, when will it be full?
    Answer and working

    Answer

    Net filling per hour = 1/24 − 1/30 = 1/120. Time = 120 hours.

  14. The price of a cooler goes from ₹440 to ₹660. What is the percentage increase?
    Answer and working

    Answer

    Change = ₹220. On the original value: 220 ÷ 440 × 100 = 50%, a 50% increase. Dividing by the new value, 660, is the usual slip.

  15. A and B together can do a job in 21 days. A alone can do it in 30 days. In how many days can B alone do it?
    Answer and working

    Answer

    B’s one day = 1/21 − 1/30 = 1/70. B alone takes 70 days.

  16. What is the fourth proportional to 5, 11 and 40?
    Answer and working

    Answer

    5 : 11 = 40 : x, so x = 11 × 40 ÷ 5 = 88.

  17. What is the compound interest on ₹30,000 for 2 years at 12% per annum, compounded annually?
    Answer and working

    Answer

    Amount = 30,000 × (1 + 12/100)2 = ₹37,632. CI = 37,632 − 30,000 = ₹7,632.

  18. A shopkeeper marks an article 20% above its cost price and allows a discount of 15%. If the article was sold for ₹1,428, what was its cost price?
    Answer and working

    Answer

    SP = CP × 1.2 × 0.85 = CP × 1.02. So CP = 1,428 ÷ 1.02 = ₹1,400.

  19. 48 litres of a mixture contains milk and water in the ratio 3 : 1. How much water must be added to make the ratio 4 : 5?
    Answer and working

    Answer

    Milk = 36 l, water = 12 l. For 4 : 5, water must be 36 × 5/4 = 45 l. Add 45 − 12 = 33 litres.

  20. What is √225 + √676 − √841?
    Answer and working

    Answer

    15 + 26 − 29 = 12.

  21. The present ages of Asha and her father are in the ratio 1 : 7. After 10 years, the ratio will be 3 : 11. What is Asha’s present age?
    Answer and working

    Answer

    Ages 1x and 7x. (1x + 10) : (7x + 10) = 3 : 11 gives x = 8. Asha is 1 × 8 = 8 years.

  22. A scooter runs at 108 km/h. What is its speed in metres per second?
    Answer and working

    Answer

    Multiply by 5/18: 108 × 5/18 = 30 m/s.

  23. What is the average of the first 53 odd numbers?
    Answer and working

    Answer

    The first 53 odd numbers add up to 53² = 2809; the average is 53.

  24. What is 55% of 1,920?
    Answer and working

    Answer

    55% of 1,920 = 1,920 × 55/100 = 1,056.

  25. What is the HCF of 9, 12 and 21?
    Answer and working

    Answer

    9 = 3²; 12 = 2² × 3; 21 = 3 × 7. The factors common to all three: 3 = 3.

  26. If x + 1⁄x = 5, what is x³ + 1⁄x³?
    Answer and working

    Answer

    x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 125 − 15 = 110.

  27. A box measures 18 cm × 7 cm × 8 cm. What is its volume?
    Answer and working

    Answer

    Volume = l × b × h = 18 × 7 × 8 = 1,008 cm³.

  28. The angles of a triangle are in the ratio 4 : 6 : 8. What is the largest angle?
    Answer and working

    Answer

    18 parts make 180°, so one part is 10°. The largest is 8 × 10 = 80°.

  29. A rectangular plot has a perimeter of 106 m and a length of 36 m. What is its area?
    Answer and working

    Answer

    Length + breadth = 106 ÷ 2 = 53, so breadth = 17 m. Area = 36 × 17 = 612 m².

  30. A boat covers 92 km downstream in 4 hours and 78 km upstream in 6 hours. What is the speed of the stream?
    Answer and working

    Answer

    Downstream speed = 92 ÷ 4 = 23 km/h; upstream = 78 ÷ 6 = 13 km/h. Stream = (23 − 13) ÷ 2 = 5 km/h.

Part CGeneral Intelligence and Reasoning

30 questions, 1 mark each, 0.33 off for a wrong answer

  1. Manoj walks 7 km towards the north. He turns right and walks 4 km. He turns left and walks 5 km. He turns right and walks 6 km. He turns left and walks 12 km. How far, and in which direction, is he from the starting point?
    Answer and working

    Answer

    Taking east and north as positive: he ends 10 km east and 24 km north of the start. Distance = √(10² + 24²) = 26 km. 26 km, north-east.

  2. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 12 × 5 ÷ 12 + 12 − 3?
    Answer and working

    Answer

    Replace the signs: 12 + 5 − 12 ÷ 12 × 3. Division and multiplication first, then addition and subtraction: 14.

  3. Statements:
    (1) All coins are tables.
    (2) Some kites are coins.

    Conclusions:
    (I) Some coins are not tables.
    (II) All tables are coins.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Answer and working

    Answer

    Conclusion I need not hold: every one of the coins may be tables. Conclusion II need not hold: some tables may lie outside coins. So: Neither conclusion follows.

  4. If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 28 × 9 ÷ 5 + 8 − 2?
    Answer and working

    Answer

    Replace the signs: 28 + 9 × 5 − 8 ÷ 2. Division and multiplication first, then addition and subtraction: 69.

  5. Tarun walks 5 km towards the north. He turns left and walks 15 km. He turns right and walks 15 km. How far is he from the starting point in a straight line?
    Answer and working

    Answer

    Taking east and north as positive: he ends 15 km west and 20 km north of the start. Straight-line distance = √(15² + 20²) = 25 km.

  6. In a certain code, EAGLE is written as FZHKF. How is STONE written in that code?
    Answer and working

    Answer

    From EAGLE → FZHKF: letters in odd places move 1 forward, letters in even places move 1 back. Applied to STONE: TSPMF.

  7. 9 : 730 :: 6 : ?
    Answer and working

    Answer

    730 = 9³ + 1, the rule n³ + 1. For 6: 6³ + 1 = 217.

  8. Which number replaces the question mark? 5, 6, 14, ?, 184, 925
    Answer and working

    Answer

    The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 45.

  9. In a class, Farhan ranks 21st from the top and 22nd from the bottom. How many students are in the class?
    Answer and working

    Answer

    Farhan is counted in both ranks, so the total is 21 + 22 − 1 = 42.

  10. Which pair comes next? BT, CS, DR, EQ, ?
    Answer and working

    Answer

    The first letters move forward 1 (B, C, D, E); the second move back 1 (T, S, R, Q). Next: FP.

  11. Which one does not belong with the others?
    Answer and working

    Answer

    In the others the letters are 2 apart (ACE); in DFI the last gap is 3. The odd one is DFI.

  12. Which one does not belong with the others?
    Answer and working

    Answer

    In the others the second number is n² of the first; 5 : 26 breaks it. The odd one is 5 : 26.

  13. Which one does not belong with the others?
    Answer and working

    Answer

    512, 27, 343 are cubes; 36 is a square, not a cube. The odd one is 36.

  14. At what time between 8 and 9 o’clock are the hands of a clock together?
    Answer and working

    Answer

    The minute hand gains 11/2° a minute and must gain 240°. Time = 240 ÷ 5.5 = 60 × 8/11 = 437⁄11 minutes past 8.

  15. L is the father of N. J is the brother of L. How is J related to N?
    Answer and working

    Answer

    Follow the links out from N: L is N’s father; J is L’s brother. So J is N’s uncle.

  16. Which pair comes next? EU, HS, KQ, NO, ?
    Answer and working

    Answer

    The first letters move forward 3 (E, H, K, N); the second move back 2 (U, S, Q, O). Next: QM.

  17. In the English alphabet, which letter is 3rd to the right of the 6th letter from the right?
    Answer and working

    Answer

    The 6th letter from the right is U (position 21). 3 places to the right: position 24, which is X.

  18. Statements:
    (1) All bells are fans.
    (2) All clouds are fans.

    Conclusions:
    (I) Some clouds are fans.
    (II) Some fans are clouds.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Answer and working

    Answer

    Conclusion I holds in every diagram the statements allow. Conclusion II holds in every diagram the statements allow. So: Both conclusions follow.

  19. Which one does not belong with the others?
    Answer and working

    Answer

    187, 221, 170 are multiples of 17; 210 is not. The odd one is 210.

  20. 8 : 73 :: 9 : ?
    Answer and working

    Answer

    73 = 8² + 8 + 1, the rule n² + n + 1. For 9: 9² + 9 + 1 = 91.

  21. Harish walks 4 km towards the north. He turns left and walks 2 km. He turns right and walks 5 km. He turns right and walks 2 km. How far is he from the starting point in a straight line?
    Answer and working

    Answer

    Taking east and north as positive: he ends 0 km east and 9 km north of the start. Straight-line distance = √(0² + 9²) = 9 km.

  22. Directions for questions 92 to 92

    Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Exactly 4 people sit between Farhan and Gopal. Bina and Farhan sit next to each other. Farhan sits third to the left of Arun. Esha sits somewhere to the right of Chetan. Gopal sits somewhere to the right of Divya. Divya sits at one of the two ends.
  23. What is Bina’s position from the left end?
    Answer and working

    Answer

    Only one order fits every clue, from the left: Divya, Farhan, Bina, Chetan, Arun, Esha, Gopal. 3rd.

  24. In a certain code, CHAIR is written as FKDLU. How is SUGAR written in that code?
    Answer and working

    Answer

    From CHAIR → FKDLU: each letter moves 3 places forward. Applied to SUGAR: VXJDU.

  25. In a certain code, EAGLE is written as GNICG. How is WINDOW written in that code?
    Answer and working

    Answer

    From EAGLE → GNICG: the word is written backwards and each letter moves 2 forward. Applied to WINDOW: YQFPKY.

  26. In a certain code, PAPER is written as QZQDS. How is BRICK written in that code?
    Answer and working

    Answer

    From PAPER → QZQDS: letters in odd places move 1 forward, letters in even places move 1 back. Applied to BRICK: CQJBL.

  27. 1 January 2011 was a Saturday. What day of the week was 1 January 2012?
    Answer and working

    Answer

    2011 has 365 days: 1 odd day. Saturday + 1 = Sunday.

  28. 6 : 36 :: 11 : ?
    Answer and working

    Answer

    36 = 6², the rule n². For 11: 11² = 121.

  29. V is the daughter of E. E is the sister of B. How is V related to B?
    Answer and working

    Answer

    Follow the links out from B: E is B’s sister; V is E’s daughter. So V is B’s niece.

  30. IJK : LMN :: QRS : ?
    Answer and working

    Answer

    Each letter of IJK moves 3 forward to give LMN. Doing the same to QRS gives TUV.

  31. Which number replaces the question mark? 26, 37, 50, 65, 82, 101, ?
    Answer and working

    Answer

    The rule: the terms are 5², 6², 7² … plus 1. The missing term is 122.