- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 8097350
- Series
- D
RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 10
- 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
-
What is the capital of Rwanda?
Answer and working
-
Who was the Prime Minister of India throughout 1959?
Answer and working
-
Consider the following pairs of dams and their rivers:
How many of the pairs given above are correctly matched?Dam River 1. Bhakra Dam Sutlej 2. Maithon Dam Jawai River 3. Konar Dam Narmada Answer and working
Answer A
1. correct; 2. wrong: Maithon Dam goes with Barakar River; 3. wrong: Konar Dam goes with Konar River. So: Only one pair.
Source: Wikidata (CC0)
-
In which year was the Battle of Karnal fought?
Answer and working
-
What is the chemical symbol of fluorine?
Answer and working
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What is the currency of Nicaragua?
Answer and working
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Grass Hills National Park is in which state?
Answer and working
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Dev Anand received the Dadasaheb Phalke Award for which year?
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 Govind Ballabh Pant awarded the Bharat Ratna?
Answer and working
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What is the capital of Goa?
Answer and working
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Govind Pashu Vihar National Park and Sanctuary is in which state?
Answer and working
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Where is the headquarters of the United Nations Industrial Development Organization?
Answer and working
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Churches and Convents of Goa, a UNESCO World Heritage Site, is in which state?
Answer and working
-
In which year was the Battle of Plassey 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. Autobiography of a Yogi Safiur Rahman Mubarakpuri 2. Gitanjali Jaswant Singh 3. Anandamath Mulk Raj Anand Answer and working
Answer D
1. wrong: Autobiography of a Yogi goes with Paramahansa Yogananda; 2. wrong: Gitanjali goes with Rabindranath Tagore; 3. wrong: Anandamath goes with Bankim Chandra Chatterjee. So: None of the pairs.
Source: Wikidata (CC0)
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Which of these organisations has its headquarters in Abuja?
Answer and working
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Who was the Vice President of India throughout 1968?
Answer and working
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Which of these rivers flows into the Vembanad?
Answer and working
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International Women's Day is observed on which date?
Answer and working
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In which year was Gujarat formed as a state or union territory in its present form?
Answer and working
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Amrabad Tiger Reserve is in which state?
Answer and working
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Ankara is the capital of which country?
Answer and working
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Nanda Devi and Valley of Flowers National Parks, a UNESCO World Heritage Site, is in which state?
Answer and working
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In which year was GSAT-16 launched?
Answer and working
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Which element has the symbol Sb?
Answer and working
-
Consider the following pairs of sportspersons and their sports:
How many of the pairs given above are correctly matched?Sportsperson Sport 1. Koneru Humpy auto racing 2. Mahesh Bhupathi weightlifting 3. Lovlina Borgohain boxing Answer and working
Answer A
1. wrong: Koneru Humpy goes with chess; 2. wrong: Mahesh Bhupathi goes with tennis; 3. correct. So: Only one pair.
Source: Wikidata (CC0)
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Which of these national parks is in Uttar Pradesh?
Answer and working
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In which year was Nalanda Mahavihara inscribed as a UNESCO World Heritage Site?
Answer and working
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Who was the Governor of the Reserve Bank of India throughout 1938?
Answer and working
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International Coffee Day is observed on which date?
Answer and working
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What is the currency of Czech Republic?
Answer and working
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Which of these World Heritage Sites is in Sikkim?
Answer and working
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Who wrote ‘Volga Se Ganga’?
Answer and working
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The Luni river flows into which?
Answer and working
-
Consider the following pairs of musicians and their instruments:
How many of the pairs given above are correctly matched?Musician Instrument 1. Amjad Ali Khan sarod 2. Shivkumar Sharma sitar 3. Nikhil Banerjee sitar Answer and working
Answer B
1. correct; 2. wrong: Shivkumar Sharma goes with santur; 3. correct. So: Only two pairs.
Source: Wikidata (CC0)
-
Who was the Governor of the Reserve Bank of India throughout 1938?
Answer and working
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Bhubaneswar is the capital of which state or union territory?
Answer and working
-
U. R. Ananthamurthy received the Jnanpith Award in which year?
Answer and working
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Renuka Lake, a Ramsar wetland, is in which state?
Answer and working
Part BMathematics
-
The simple interest on a sum for 2 years at 4% per annum is ₹2,440. What is the sum?
Answer and working
Answer A
P = SI × 100 / (R × T) = 2,440 × 100 / (4 × 2) = ₹30,500.
-
A bus goes from Pune to Nashik at 18 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 C
For equal distances, average speed = 2xy/(x + y) = 2 × 18 × 36 ÷ 54 = 24 km/h. The plain average, 27, ignores that the slower leg takes longer.
-
What is the unit digit of 3130?
Answer and working
Answer A
The unit digits of the powers of 3 repeat in a cycle of 4: 3, 9, 7, 1. 130 is position 2 in that cycle (130 ÷ 4 leaves 2), so the unit digit is 9.
-
The present ages of Asha and her father are in the ratio 3 : 7. After 6 years, the ratio will be 1 : 2. What is Asha’s present age?
Answer and working
Answer B
Ages 3x and 7x. (3x + 6) : (7x + 6) = 1 : 2 gives x = 6. Asha is 3 × 6 = 18 years.
-
What is the smallest number which, when divided by 18, 16 or 15, leaves a remainder of 3 in each case?
Answer and working
Answer A
LCM of 18, 16, 15 = 720. Add the remainder: 720 + 3 = 723.
-
Two trains 230 m and 210 m long run on parallel tracks in opposite directions at 56 km/h and 88 km/h. How long do they take to cross each other?
Answer and working
Answer D
Relative speed = 56 + 88 = 144 km/h = 40 m/s. Distance = 230 + 210 = 440 m. Time = 440 ÷ 40 = 11 seconds.
-
Simplify: 1⁄4 + 2⁄3 + 1⁄5
Answer and working
Answer B
Over the common denominator 120: the sum is 67⁄60. Adding tops and bottoms separately (6/21) is the trap.
-
A and B together can do a job in 9 days. A alone can do it in 12 days. In how many days can B alone do it?
Answer and working
Answer A
B’s one day = 1/9 − 1/12 = 1/36. B alone takes 36 days.
-
The average of 6 numbers is 78. When one number is removed, the average of the rest is 81. Which number was removed?
Answer and working
Answer C
Total of 6 = 6 × 78 = 468. Total of 5 = 5 × 81 = 405. Removed = 468 − 405 = 63.
-
The average of 11 numbers is 53. When one number is removed, the average of the rest is 56. Which number was removed?
Answer and working
Answer B
Total of 11 = 11 × 53 = 583. Total of 10 = 10 × 56 = 560. Removed = 583 − 560 = 23.
-
If a + b = 12 and ab = 11, what is a² + b²?
Answer and working
Answer B
a² + b² = (a + b)² − 2ab = 144 − 22 = 122.
-
₹4,650 is divided among Amit, Bina and Chetan in the ratio 5 : 4 : 1. What is Chetan’s share?
Answer and working
Answer C
Total parts = 5 + 4 + 1 = 10. Chetan gets 1/10 × 4,650 = ₹465.
-
A boat covers 68 km downstream in 4 hours and 30 km upstream in 6 hours. What is the speed of the boat in still water?
Answer and working
Answer C
Downstream speed = 68 ÷ 4 = 17 km/h; upstream = 30 ÷ 6 = 5 km/h. Boat = (17 + 5) ÷ 2 = 11 km/h.
-
Two successive discounts of 10% and 10% are equal to a single discount of:
Answer and working
Answer D
Single discount = 10 + 10 − (10 × 10)/100 = 19%. The second discount is taken on the already reduced price, so the two do not simply add.
-
The angles of a triangle are in the ratio 5 : 1 : 3. What is the largest angle?
Answer and working
Answer B
9 parts make 180°, so one part is 20°. The largest is 5 × 20 = 100°.
-
What is the median of these numbers: 22, 39, 38, 58, 60, 52, 22?
Answer and working
Answer D
In order: 22, 22, 38, 39, 52, 58, 60. The middle value is 39.
-
The population of a town is 51,750. It grows by 20% every year. What will it be after 2 years?
Answer and working
Answer C
51,750 × (1 + 20/100)² = 51,750 × 1.44 = 74,520. Growing 20% on 51,750 twice, not 40% once.
-
The incomes of P and Q are in the ratio 3 : 4 and their expenditures are in the ratio 11 : 15. If each saves ₹3,000 a month, what is P’s monthly income?
Answer and working
Answer D
Incomes 3x and 4x. (3x − 3,000) : (4x − 3,000) = 11 : 15 gives x = 12,000. P’s income = 3 × 12,000 = ₹36,000.
-
A shopkeeper marks an article 20% above its cost price and allows a discount of 10%. If the article was sold for ₹1,242, what was its cost price?
Answer and working
Answer D
SP = CP × 1.2 × 0.9 = CP × 1.08. So CP = 1,242 ÷ 1.08 = ₹1,150.
-
What is the value of 2 sin 90° − cot² 30°?
Answer and working
Answer A
sin 90° = 1 and cot² 30° = 3. So 2 × 1 − 3 = −1.
-
What is 45% of 920?
Answer and working
Answer B
45% of 920 = 920 × 45/100 = 414.
-
Pipe A fills a tank in 30 hours; pipe B empties the full tank in 55 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer D
Net filling per hour = 1/30 − 1/55 = 1/66. Time = 66 hours.
-
A cylinder has radius 7 cm and height 17 cm. What is its curved surface area? (π = 22/7)
Answer and working
Answer A
Curved surface = 2πrh = 2 × 22/7 × 7 × 17 = 748 cm².
-
Solve for x: 3x + 17 = 1x + 15
Answer and working
Answer B
3x − 1x = 15 − 17, so 2x = −2 and x = −2 ÷ 2. x = −1.
-
Simplify: 7⁄10 + 7⁄8 + 1⁄3
Answer and working
Answer C
Over the common denominator 120: the sum is 229⁄120. Adding tops and bottoms separately (15/21) is the trap.
-
The average weight of 5 people goes up by 2.5 kg when a new person takes the place of one who weighs 53 kg. What does the new person weigh?
Answer and working
Answer D
The total rises by 5 × 2.5 = 12.5 kg, so the new person weighs 53 + 12.5 = 65.5 kg.
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A shopkeeper marks his goods 20% above the cost price and allows a discount of 30%. What is his profit or loss percent?
Answer and working
Answer D
Take CP = 100. Marked price = 120. After 30% off: 120 × 70/100 = 84. So 16% loss.
-
21 litres of a mixture contains milk and water in the ratio 4 : 3. How much water must be added to make the ratio 1 : 3?
Answer and working
Answer C
Milk = 12 l, water = 9 l. For 1 : 3, water must be 12 × 3/1 = 36 l. Add 36 − 9 = 27 litres.
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What is the compound interest on ₹59,750 for 3 years at 20% per annum, compounded annually?
Answer and working
Answer B
Amount = 59,750 × (1 + 20/100)3 = ₹1,03,248. CI = 1,03,248 − 59,750 = ₹43,498.
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The two sides containing the right angle of a triangle are 5 cm and 12 cm. What is its hypotenuse?
Answer and working
Answer B
Hypotenuse = √(5² + 12²) = √169 = 13 cm.
Part CGeneral Intelligence and Reasoning
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 12 + 3 − 4 × 18 ÷ 8?
Answer and working
Answer D
Replace the signs: 12 ÷ 3 × 4 + 18 − 8. Division and multiplication first, then addition and subtraction: 26.
-
Which pair comes next? FZ, GW, HT, IQ, ?
Answer and working
Answer C
The first letters move forward 1 (F, G, H, I); the second move back 3 (Z, W, T, Q). Next: JN.
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Which number replaces the question mark? 4, 42, 9, 40, 14, 38, 19, ?
Answer and working
Answer C
The rule: two series alternate: 4, 9, 14 … rising by 5, and 42, 40, 38 … falling by 2. The missing term is 36.
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If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 12 − 6 + 3 × 3 ÷ 5?
Answer and working
Answer A
Replace the signs: 12 × 6 − 3 ÷ 3 + 5. Division and multiplication first, then addition and subtraction: 76.
-
Which one does not belong with the others?
Answer and working
Answer A
88, 143, 110 are multiples of 11; 98 is not. The odd one is 98.
-
Arun walks 5 km towards the west. He turns left and walks 3 km. He turns left and walks 5 km. How far is he from the starting point in a straight line?
Answer and working
Answer B
Taking east and north as positive: he ends 0 km east and 3 km south of the start. Straight-line distance = √(0² + 3²) = 3 km.
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In a certain code, CHALK is written as 40. How is SCHOOL written in that code?
Answer and working
Answer D
CHALK = 40 is the sum of (position + 1) for each letter. For SCHOOL: 20 + 4 + 9 + 16 + 16 + 13 = 78.
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Which group comes next? DEF, JKL, PQR, ?
Answer and working
Answer B
Inside each group the letters step by 1; each group starts 6 letters after the last (D, J, P). Next: VWX.
-
In the English alphabet, which letter is 7th to the right of the 8th letter from the right?
Answer and working
Answer A
The 8th letter from the right is S (position 19). 7 places to the right: position 26, which is Z.
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In a certain code, GLASS is written as JODVV. How is PLANT written in that code?
Answer and working
Answer B
From GLASS → JODVV: each letter moves 3 places forward. Applied to PLANT: SODQW.
-
Which one does not belong with the others?
Answer and working
Answer D
79, 71, 19 are prime; 21 = 3 × 7. The odd one is 21.
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W is the mother of J. M is the son of V. V is the sister of W. How is M related to J?
Answer and working
Answer B
Follow the links out from J: W is J’s mother; V is W’s sister; M is V’s son. So M is J’s cousin.
-
3 : 10 :: 9 : ?
Answer and working
Answer A
10 = 3² + 1, the rule n² + 1. For 9: 9² + 1 = 82.
-
At what time between 1 and 2 o’clock are the hands of a clock together?
Answer and working
Answer B
The minute hand gains 11/2° a minute and must gain 30°. Time = 30 ÷ 5.5 = 60 × 1/11 = 55⁄11 minutes past 1.
-
Which one does not belong with the others?
Answer and working
Answer B
36, 90, 117 are multiples of 9; 46 is not. The odd one is 46.
-
Statements:
(1) Some clocks are rings.
(2) All rings are planes.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some planes are not rings.
(II) Some planes are clocks.Answer and working
Answer B
Conclusion I need not hold: every one of the planes may be rings. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Statements:
(1) All pens are phones.
(2) Some trees are not pens.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some pens are not phones.
(II) No phones are pens.Answer and working
Answer D
Conclusion I need not hold: every one of the pens may be phones. Conclusion II need not hold: phones and pens may overlap. So: Neither conclusion follows.
-
Which one does not belong with the others?
Answer and working
Answer B
8, 216, 125 are cubes; 49 is a square, not a cube. The odd one is 49.
-
G is the husband of F. F is the sister of Y. Y is the mother of Z. How is G related to Z?
Answer and working
Answer C
Follow the links out from Z: Y is Z’s mother; F is Y’s sister; G is F’s husband. So G is Z’s uncle.
-
9 : 730 :: 11 : ?
Answer and working
Answer B
730 = 9³ + 1, the rule n³ + 1. For 11: 11³ + 1 = 1,332.
-
FG : IJ :: QR : ?
Answer and working
Answer C
Each letter of FG moves 3 forward to give IJ. Doing the same to QR gives TU.
-
Today is Friday. What day of the week will it be 21 days from today?
Answer and working
Answer D
21 ÷ 7 leaves 0. 0 days on from Friday is Friday.
-
In a certain code, PLANET is written as 74. How is SUGAR written in that code?
Answer and working
Answer D
PLANET = 74 is the sum of (position + 1) for each letter. For SUGAR: 20 + 22 + 8 + 2 + 19 = 71.
-
Kavita walks 4 km towards the west. She turns left and walks 8 km. She turns right and walks 7 km. She turns right and walks 8 km. How far is she from the starting point in a straight line?
Answer and working
Answer C
Taking east and north as positive: she ends 11 km west and 0 km north of the start. Straight-line distance = √(11² + 0²) = 11 km.
Directions for questions 95 to 95
Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Esha sits immediately to the right of Divya. Divya and Chetan sit next to each other. Exactly one person sits between Esha and Arun.-
How many people sit between Esha and Divya?
Answer and working
Answer C
Only one order fits every clue, from the left: Chetan, Divya, Esha, Bina, Arun. Between them: None.
-
In a class, Anjali ranks 22nd from the top and 7th from the bottom. How many students are in the class?
Answer and working
Answer A
Anjali is counted in both ranks, so the total is 22 + 7 − 1 = 28.
-
8 : 73 :: 11 : ?
Answer and working
Answer D
73 = 8² + 8 + 1, the rule n² + n + 1. For 11: 11² + 11 + 1 = 133.
-
If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 59 ÷ 12 + 10 − 6 × 6?
Answer and working
Answer A
Replace the signs: 59 − 12 × 10 ÷ 6 + 6. Division and multiplication first, then addition and subtraction: 45.
-
In a certain code, APPLE is written as 100. How is RAIN written in that code?
Answer and working
Answer A
APPLE = 100 is twice the sum of the letters’ positions in the alphabet. For RAIN: 18 + 1 + 9 + 14 doubled = 84.
-
Which number replaces the question mark? 3, 12, 28, 53, 89, 138, ?
Answer and working
Answer A
The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The missing term is 202.