- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 3676602
- Series
- C
RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 1
- 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
-
Which of these national parks is in Sikkim?
Answer and working
-
Who was the first Vice President of India?
Answer and working
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Ajanta Caves, a UNESCO World Heritage Site, is in which state?
Answer and working
-
Which of these organisations has its headquarters in Dubai?
Answer and working
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Which of these dams is on the Koyna River?
Answer and working
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In which year was Humayun's Tomb inscribed as a UNESCO World Heritage Site?
Answer and working
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In which year was the Battle of Aliwal fought?
Answer and working
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Which of these was written by Khushwant Singh?
Answer and working
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Major Dhyan Chand Singh is associated with which sport?
Answer and working
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Which day is observed on June 20?
Answer and working
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What is the currency of Oman?
Answer and working
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Who was the President of India throughout 1954?
Answer and working
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In which year was Vinoba Bhave awarded the Bharat Ratna?
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
-
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. Himachal Pradesh Bhubaneswar 2. Bihar Kargil 3. Chandigarh Chandigarh Answer and working
Answer A
1. wrong: Himachal Pradesh goes with Shimla; 2. wrong: Bihar goes with Patna; 3. correct. So: Only one pair.
Source: Wikidata (CC0)
-
Which of these World Heritage Sites is in Odisha?
Answer and working
-
What is the atomic number of palladium?
Answer and working
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Tadoba-Andhari Tiger Reserve is in which state?
Answer and working
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Which element has the symbol K?
Answer and working
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Gandhinagar is the capital of which state or union territory?
Answer and working
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What is the capital of Morocco?
Answer and working
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Who was the first Chief Justice of India?
Answer and working
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What is the capital of Dominica?
Answer and working
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Which of these rivers flows into the Vembanad?
Answer and working
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Kasinathuni Viswanath received the Dadasaheb Phalke Award for which year?
Answer and working
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Which of these musicians is known for the santur?
Answer and working
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Who was the Prime Minister of India throughout 1983?
Answer and working
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In which year was the Battle of Wandiwash fought?
Answer and working
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Which day is observed on March 3?
Answer and working
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Thakazhi Sivasankara Pillai received the Jnanpith Award in which year?
Answer and working
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Which of these rivers flows into the Rann of Kutch?
Answer and working
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In which year was IRNSS-1B launched?
Answer and working
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Jaldapara National Park is in which state?
Answer and working
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Which of these organisations has its headquarters in Bern?
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 Karnal fought?
Answer and working
-
International Day of Zero Tolerance to Female Genital Mutilation is observed on which date?
Answer and working
Answer C
International Day of Zero Tolerance to Female Genital Mutilation: February 6.
Source: Wikidata (CC0)
-
Which of these Ramsar sites is in Rajasthan?
Answer and working
-
Who wrote ‘Young India’?
Answer and working
-
Consider the following pairs of countries and their currencies:
How many of the pairs given above are correctly matched?Country Currency 1. San Marino euro 2. Sweden Trinidad and Tobago dollar 3. Myanmar hryvnia Answer and working
Answer A
1. correct; 2. wrong: Sweden goes with Swedish krona; 3. wrong: Myanmar goes with kyat. So: Only one pair.
Source: Wikidata (CC0)
Part BMathematics
-
What is the LCM of 84, 120 and 132?
Answer and working
Answer A
84 = 2² × 3 × 7; 120 = 2³ × 3 × 5; 132 = 2² × 3 × 11. Each prime at its highest power: 2³ × 3 × 5 × 7 × 11 = 9,240.
-
What is the circumference of a circle of radius 35 cm? (Take π = 22/7.)
Answer and working
Answer D
Circumference = 2πr = 2 × 22/7 × 35 = 220 cm.
-
What is the value of cos² 45° − 2 cos 0°?
Answer and working
Answer B
cos² 45° = 1⁄2 and cos 0° = 1. So 1⁄2 − 2 × 1 = −3⁄2.
-
If A : B = 7 : 9 and B : C = 3 : 5, what is A : B : C?
Answer and working
Answer B
Make B the same in both: A : B = 21 : 27 and B : C = 27 : 45. So A : B : C = 7 : 9 : 15.
-
A scooter runs at 90 km/h. What is its speed in metres per second?
Answer and working
Answer C
Multiply by 5/18: 90 × 5/18 = 25 m/s.
-
What is the mean proportional between 6 and 294?
Answer and working
Answer B
Mean proportional = √(6 × 294) = √1764 = 42.
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Section A has 20 students with an average score of 76; section B has 40 students averaging 40. What is the average score of both sections together?
Answer and working
Answer D
(20 × 76 + 40 × 40) ÷ 60 = 3120 ÷ 60 = 52. The plain mean of 76 and 40 ignores the sizes of the sections.
-
If A : B = 7 : 5 and B : C = 7 : 9, what is A : B : C?
Answer and working
Answer A
Make B the same in both: A : B = 49 : 35 and B : C = 35 : 45. So A : B : C = 49 : 35 : 45.
-
What is the difference between the compound interest and the simple interest on ₹56,000 for 2 years at 5% per annum?
Answer and working
Answer C
For 2 years, CI − SI = P × (R/100)² = 56,000 × (5/100)² = ₹140.
-
The sum of the present ages of a father and his son is 56 years. 2 years ago, the father was 3 times as old as the son. How old is the son now?
Answer and working
Answer A
Let the son be s. Then (56 − s − 2) = 3(s − 2), so 60 = 4s and s = 15 years.
-
What is 150% of 280?
Answer and working
Answer C
150% of 280 = 280 × 150/100 = 420.
-
A and B together can do a job in 6 days. A alone can do it in 10 days. In how many days can B alone do it?
Answer and working
Answer A
B’s one day = 1/6 − 1/10 = 1/15. B alone takes 15 days.
-
The HCF and LCM of two numbers are 5 and 910. If one of the numbers is 70, what is the other?
Answer and working
Answer B
HCF × LCM = product of the numbers, so the other = 5 × 910 ÷ 70 = 65.
-
What is the HCF of 8, 44 and 24?
Answer and working
Answer D
8 = 2³; 44 = 2² × 11; 24 = 2³ × 3. The factors common to all three: 2² = 4.
-
A boat covers 48 km downstream in 3 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water?
Answer and working
Answer D
Downstream speed = 48 ÷ 3 = 16 km/h; upstream = 56 ÷ 4 = 14 km/h. Boat = (16 + 14) ÷ 2 = 15 km/h.
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A trader buys a bicycle for ₹500 and sells it for ₹580. What is the profit or loss percent?
Answer and working
Answer C
Profit = ₹80. As a percent of the cost price: 80 ÷ 500 × 100 = 16% profit.
-
If a − b = 3 and ab = 54, what is a³ − b³?
Answer and working
Answer A
a³ − b³ = (a − b)³ + 3ab(a − b) = 27 + 486 = 513.
-
Two trains 130 m and 170 m long run on parallel tracks in opposite directions at 39 km/h and 51 km/h. How long do they take to cross each other?
Answer and working
Answer D
Relative speed = 39 + 51 = 90 km/h = 25 m/s. Distance = 130 + 170 = 300 m. Time = 300 ÷ 25 = 12 seconds.
-
In what ratio must rice at ₹40/kg be mixed with rice at ₹56/kg so that the mixture is worth ₹47/kg?
Answer and working
Answer D
By alligation: cheaper : dearer = (56 − 47) : (47 − 40) = 9 : 7 = 9 : 7.
-
An angle is 40° more than its complement. What is the angle?
Answer and working
Answer D
a + (a − 40) = 90, so 2a = 130 and a = 65°.
-
The population of a town is 57,600. It grows by 5% every year. What will it be after 2 years?
Answer and working
Answer B
57,600 × (1 + 5/100)² = 57,600 × 1.1 = 63,504. Growing 5% on 57,600 twice, not 10% once.
-
Pipe A fills a tank in 6 hours; pipe B empties the full tank in 7 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer D
Net filling per hour = 1/6 − 1/7 = 1/42. Time = 42 hours.
-
Simplify: 75 + 13 × 4 − 54 ÷ 9
Answer and working
Answer C
Division and multiplication first: 13 × 4 = 52 and 54 ÷ 9 = 6. Then 75 + 52 − 6 = 121.
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If x + 1⁄x = 9, what is x² + 1⁄x²?
Answer and working
Answer C
Square both sides: x² + 2 + 1/x² = 81, so x² + 1/x² = 79.
-
A rectangular plot has a perimeter of 138 m and a length of 51 m. What is its area?
Answer and working
Answer A
Length + breadth = 138 ÷ 2 = 69, so breadth = 18 m. Area = 51 × 18 = 918 m².
-
What is the mode of these numbers: 11, 54, 31, 43, 54, 57, 54, 32, 54?
Answer and working
Answer B
54 occurs most often (4 times): 54.
-
The average weight of 11 people goes up by 3.5 kg when a new person takes the place of one who weighs 66 kg. What does the new person weigh?
Answer and working
Answer D
The total rises by 11 × 3.5 = 38.5 kg, so the new person weighs 66 + 38.5 = 104.5 kg.
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A sum of money at simple interest amounts to ₹23,400 in 3 years and to ₹25,200 in 4 years. What is the sum?
Answer and working
Answer C
Interest for 1 year = 25,200 − 23,400 = ₹1,800, so ₹1,800 a year. Interest for 3 years = ₹5,400. Sum = 23,400 − 5,400 = ₹18,000.
-
Two successive discounts of 10% and 20% are equal to a single discount of:
Answer and working
Answer A
Single discount = 10 + 20 − (10 × 20)/100 = 28%. The second discount is taken on the already reduced price, so the two do not simply add.
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What is the value of 54² − 12²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 66 × 42 = 2,772.
Part CGeneral Intelligence and Reasoning
-
Which number replaces the question mark? 3, 4, 10, 33, 136, ?
Answer and working
Answer D
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 685.
-
Manoj walks 2 km towards the north. He turns right and walks 15 km. He turns left and walks 3 km. He turns left and walks 3 km. How far is he from the starting point in a straight line?
Answer and working
Answer D
Taking east and north as positive: he ends 12 km east and 5 km north of the start. Straight-line distance = √(12² + 5²) = 13 km.
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If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 17 + 8 − 8 ÷ 8 × 4?
Answer and working
Answer A
Replace the signs: 17 × 8 ÷ 8 + 8 − 4. Division and multiplication first, then addition and subtraction: 21.
-
Asha walks 12 km towards the east. She turns left and walks 4 km. She turns right and walks 15 km. Which direction is she facing now?
Answer and working
Answer D
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.
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In a certain code, HORSE is written as GUTQJ. How is RIVER written in that code?
Answer and working
Answer D
From HORSE → GUTQJ: the word is written backwards and each letter moves 2 forward. Applied to RIVER: TGXKT.
-
In a queue, Vikram is 10th from the front and Ritu is 33rd from the front. How many people stand between them?
Answer and working
Answer A
Between positions 10 and 33 there are 33 − 10 − 1 = 22 people.
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In a certain code, TABLE is written as UBCMF. How is CLOUD written in that code?
Answer and working
Answer C
From TABLE → UBCMF: each letter moves 1 place forward. Applied to CLOUD: DMPVE.
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In the English alphabet, which letter is 3rd to the left of the 5th letter from the left?
Answer and working
Answer C
The 5th letter from the left is E (position 5). 3 places to the left: position 2, which is B.
-
Statements:
(1) Some bottles are stones.
(2) Some stones are watches.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All watches are stones.
(II) All stones are bottles.Answer and working
Answer D
Conclusion I need not hold: some watches may lie outside stones. Conclusion II need not hold: some stones may lie outside bottles. So: Neither conclusion follows.
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Which one does not belong with the others?
Answer and working
Answer C
88, 121, 132 are multiples of 11; 97 is not. The odd one is 97.
-
At what time between 7 and 8 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 210°. Time = 210 ÷ 5.5 = 60 × 7/11 = 382⁄11 minutes past 7.
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In a certain code, CHALK is written as BGZKJ. How is BOOK written in that code?
Answer and working
Answer C
From CHALK → BGZKJ: each letter moves 1 place back. Applied to BOOK: ANNJ.
-
Pointing to a man in a photograph, Harish said, ‘His mother is the only daughter of my mother.’ How is the man related to Harish?
Answer and working
Answer D
The only daughter of my mother is my sister, so the child is my sister’s. So the man is Harish’s nephew.
-
Today is Saturday. What day of the week will it be 65 days from today?
Answer and working
Answer A
65 ÷ 7 leaves 2. 2 days on from Saturday is Monday.
-
If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 18 + 5 − 3 ÷ 16 × 12?
Answer and working
Answer D
Replace the signs: 18 − 5 + 3 × 16 ÷ 12. Division and multiplication first, then addition and subtraction: 17.
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In a certain code, SHIP is written as QJIT. How is COAT written in that code?
Answer and working
Answer B
From SHIP → QJIT: the word is written backwards and each letter moves 1 forward. Applied to COAT: UBPD.
-
6 : 216 :: 9 : ?
Answer and working
Answer C
216 = 6³, the rule n³. For 9: 9³ = 729.
-
4 : 17 :: 10 : ?
Answer and working
Answer D
17 = 4² + 1, the rule n² + 1. For 10: 10² + 1 = 101.
-
Which letter comes next? W, S, O, K, G, ?
Answer and working
Answer C
Each letter moves 4 places back in the alphabet: W → S → O → K → G → C.
Directions for questions 90 to 90
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Arun sits at one of the two ends. Esha sits second to the left of Bina. Arun sits second to the left of Esha. Chetan sits immediately to the right of Esha. Chetan sits second to the right of Farhan.-
Which pair sits at the two ends of the row?
Answer and working
Answer B
Only one order fits every clue, from the left: Arun, Farhan, Esha, Chetan, Bina, Divya. Arun and Divya.
-
Which group comes next? FGH, JKL, NOP, ?
Answer and working
Answer B
Inside each group the letters step by 1; each group starts 4 letters after the last (F, J, N). Next: RST.
-
6 : 36 :: 7 : ?
Answer and working
Answer B
36 = 6², the rule n². For 7: 7² = 49.
-
Which number replaces the question mark? 1, 2, 6, 21, 88, ?
Answer and working
Answer D
The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 445.
-
4 : 16 :: 6 : ?
Answer and working
Answer D
16 = 4², the rule n². For 6: 6² = 36.
-
Statements:
(1) All papers are fans.
(2) Some planes are fans.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some fans are papers.
(II) Some papers are fans.Answer and working
Answer C
Conclusion I holds in every diagram the statements allow. Conclusion II holds in every diagram the statements allow. So: Both conclusions follow.
-
Pointing to a man in a photograph, Kavita said, ‘His father is the only son of my father.’ How is the man related to Kavita?
Answer and working
Answer A
The only son of my father is my brother, so the child is my brother’s. So the man is Kavita’s nephew.
-
Which one does not belong with the others?
Answer and working
Answer A
36, 169, 324 are perfect squares; 209 is not. The odd one is 209.
-
Asha walks 3 km towards the west. She turns left and walks 12 km. She turns left and walks 10 km. She turns left and walks 12 km. She turns left and walks 14 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer D
Taking east and north as positive: she ends 7 km west and 0 km north of the start. Distance = √(7² + 0²) = 7 km. 7 km, west.
-
Which one does not belong with the others?
Answer and working
Answer A
512, 8, 1331 are cubes; 144 is a square, not a cube. The odd one is 144.
-
Which one does not belong with the others?
Answer and working
Answer A
25, 81, 196 are perfect squares; 153 is not. The odd one is 153.