- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 7895792
- Series
- C
RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 6
- 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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Which of these was written by Bhagat Singh?
Answer and working
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What is the currency of Myanmar?
Answer and working
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In which year was the Battle of Aliwal fought?
Answer and working
-
Consider the following pairs of days and their dates:
How many of the pairs given above are correctly matched?Day Date 1. World Day Against Child Labour November 25 2. World Book Day and Copyright Day April 18 3. World Food Day October 16 Answer and working
Answer A
1. wrong: World Day Against Child Labour goes with June 12; 2. wrong: World Book Day and Copyright Day goes with April 23; 3. correct. So: Only one pair.
Source: Wikidata (CC0)
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B. Nagi Reddy received the Dadasaheb Phalke Award for which year?
Answer and working
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Who was the Chief Justice of India throughout 2020?
Answer and working
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Who wrote ‘Umrao Jaan Ada’?
Answer and working
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In which year was Valley of Flowers National Park inscribed as a UNESCO World Heritage Site?
Answer and working
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Who was the Chief Justice of India throughout 1981?
Answer and working
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Zakir Hussain is known for playing which instrument?
Answer and working
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Which element has the symbol Ne?
Answer and working
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Hokersar wetland, a Ramsar wetland, is in which state?
Answer and working
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Which of these organisations has its headquarters in Lyon?
Answer and working
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Who was the Chief Justice of India throughout 1979?
Answer and working
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Which of these sportspersons is associated with mountaineering?
Answer and working
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Who was the President of India throughout 1983?
Answer and working
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Blackbuck National Park 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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Santiniketan, a UNESCO World Heritage Site, is in which state?
Answer and working
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Simlipal National Park is in which state?
Answer and working
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Consider the following pairs of heritage sites and their states:
How many of the pairs given above are correctly matched?World Heritage Site State 1. Valley of Flowers National Park Uttarakhand 2. Bhimbetka rock shelters Madhya Pradesh 3. Dholavira Telangana Answer and working
Answer B
1. correct; 2. correct; 3. wrong: Dholavira goes with Gujarat. So: Only two pairs.
Source: Wikidata (CC0)
-
In which year was Telangana 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 archery?
Answer and working
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The Ganges river flows into which?
Answer and working
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The Krishna river flows into which?
Answer and working
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Where is the headquarters of the Asia-Pacific Economic Cooperation?
Answer and working
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In which year was the Battle of Kohima fought?
Answer and working
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What is the capital of Saint Kitts and Nevis?
Answer and working
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In which year was Vinoba Bhave awarded the Bharat Ratna?
Answer and working
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M. T. Vasudevan Nair received the Jnanpith Award in which year?
Answer and working
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Sathyamangalam Tiger Reserve is in which state?
Answer and working
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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. Nagaland Kohima 2. Madhya Pradesh Jaipur 3. Arunachal Pradesh Itanagar Answer and working
Answer B
1. correct; 2. wrong: Madhya Pradesh goes with Bhopal; 3. correct. So: Only two pairs.
Source: Wikidata (CC0)
-
What is the currency of Iraq?
Answer and working
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Which day is observed on March 24?
Answer and working
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Smriti Mandhana is associated with which sport?
Answer and working
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Aizawl is the capital of which state or union territory?
Answer and working
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In which year was Moon Impact Probe launched?
Answer and working
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Dakar is the capital of which country?
Answer and working
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Which of these national parks is in Ladakh?
Answer and working
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What is the atomic number of ruthenium?
Answer and working
Part BMathematics
-
If A : B = 7 : 6 and B : C = 3 : 1, what is A : B : C?
Answer and working
Answer D
Make B the same in both: A : B = 21 : 18 and B : C = 18 : 6. So A : B : C = 7 : 6 : 2.
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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.
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If A : B = 1 : 2 and B : C = 4 : 1, what is A : B : C?
Answer and working
Answer C
Make B the same in both: A : B = 4 : 8 and B : C = 8 : 2. So A : B : C = 2 : 4 : 1.
-
Simplify: 4⁄5 + 3⁄4 + 1⁄12
Answer and working
Answer B
Over the common denominator 60: the sum is 49⁄30. Adding tops and bottoms separately (8/21) is the trap.
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A shopkeeper marks an article 40% above its cost price and allows a discount of 10%. If the article was sold for ₹1,008, what was its cost price?
Answer and working
Answer A
SP = CP × 1.4 × 0.9 = CP × 1.26. So CP = 1,008 ÷ 1.26 = ₹800.
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If x + 1⁄x = 8, what is x³ + 1⁄x³?
Answer and working
Answer B
x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 512 − 24 = 488.
-
What is the value of 2 cos 90° + 2 sin 0°?
Answer and working
Answer A
cos 90° = 0 and sin 0° = 0. So 2 × 0 + 2 × 0 = 0.
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What is the median of these numbers: 35, 32, 34, 26, 37, 51, 29?
Answer and working
Answer D
In order: 26, 29, 32, 34, 35, 37, 51. The middle value is 34.
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If x + 1⁄x = 8, what is x² + 1⁄x²?
Answer and working
Answer B
Square both sides: x² + 2 + 1/x² = 64, so x² + 1/x² = 62.
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What is the average of the first 57 odd numbers?
Answer and working
Answer C
The first 57 odd numbers add up to 57² = 3249; the average is 57.
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What is the fourth proportional to 5, 6 and 10?
Answer and working
Answer D
5 : 6 = 10 : x, so x = 6 × 10 ÷ 5 = 12.
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In what ratio must rice at ₹49/kg be mixed with rice at ₹89/kg so that the mixture is worth ₹65/kg?
Answer and working
Answer C
By alligation: cheaper : dearer = (89 − 65) : (65 − 49) = 24 : 16 = 3 : 2.
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How many numbers from 200 to 1050 (both included) are divisible by 6?
Answer and working
Answer D
Multiples of 6 up to 1050: 175. Up to 199: 33. Difference = 142.
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Each exterior angle of a regular polygon is 24°. How many sides does it have?
Answer and working
Answer C
Exterior angles add up to 360°, so the number of sides = 360 ÷ 24 = 15.
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826 is what percent of 2,360?
Answer and working
Answer B
826 ÷ 2,360 × 100 = 35%.
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Two trains 100 m and 300 m long run on parallel tracks in opposite directions at 37 km/h and 35 km/h. How long do they take to cross each other?
Answer and working
Answer C
Relative speed = 37 + 35 = 72 km/h = 20 m/s. Distance = 100 + 300 = 400 m. Time = 400 ÷ 20 = 20 seconds.
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What is the smallest number which, when divided by 15, 6 or 10, leaves a remainder of 3 in each case?
Answer and working
Answer C
LCM of 15, 6, 10 = 30. Add the remainder: 30 + 3 = 33.
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What is the difference between the compound interest and the simple interest on ₹30,700 for 2 years at 10% per annum?
Answer and working
Answer B
For 2 years, CI − SI = P × (R/100)² = 30,700 × (10/100)² = ₹307.
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A shopkeeper marks his goods 50% 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 = 150. After 20% off: 150 × 80/100 = 120. So 20% profit.
-
What is the largest 5-digit number exactly divisible by 73?
Answer and working
Answer A
99,999 ÷ 73 leaves remainder 62. 99,999 − 62 = 99,937.
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The average of 9 numbers is 53. When one number is removed, the average of the rest is 54. Which number was removed?
Answer and working
Answer A
Total of 9 = 9 × 53 = 477. Total of 8 = 8 × 54 = 432. Removed = 477 − 432 = 45.
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A boat covers 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the stream?
Answer and working
Answer D
Downstream speed = 105 ÷ 5 = 21 km/h; upstream = 95 ÷ 5 = 19 km/h. Stream = (21 − 19) ÷ 2 = 1 km/h.
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A train 375 m long passes a signal post in 15 seconds. What is its speed in km/h?
Answer and working
Answer B
Speed = 375 ÷ 15 = 25 m/s = 25 × 18/5 = 90 km/h.
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A cylinder has radius 14 cm and height 19 cm. What is its curved surface area? (π = 22/7)
Answer and working
Answer D
Curved surface = 2πrh = 2 × 22/7 × 14 × 19 = 1,672 cm².
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The two sides containing the right angle of a triangle are 3 cm and 4 cm. What is its area?
Answer and working
Answer A
Area = ½ × 3 × 4 = 6 cm².
-
110 is what percent of 880?
Answer and working
Answer B
110 ÷ 880 × 100 = 12.5%.
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A sum of money becomes four times itself in 12 years at simple interest. What is the rate of interest per annum?
Answer and working
Answer D
The interest earned is 3 times the principal in 12 years. Rate = 3 × 100 / 12 = 25%.
-
Simplify: 1⁄5 + 2⁄3 + 1⁄2
Answer and working
Answer B
Over the common denominator 30: the sum is 41⁄30. Adding tops and bottoms separately (5/15) is the trap.
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Pipe A fills a tank in 8 hours; pipe B empties the full tank in 12 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer C
Net filling per hour = 1/8 − 1/12 = 1/24. Time = 24 hours.
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The sum of the present ages of a father and his son is 51 years. 8 years ago, the father was 4 times as old as the son. How old is the son now?
Answer and working
Answer B
Let the son be s. Then (51 − s − 8) = 4(s − 8), so 75 = 5s and s = 15 years.
Part CGeneral Intelligence and Reasoning
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In a certain code, HORSE is written as INSRF. How is CHAIR written in that code?
Answer and working
Answer C
From HORSE → INSRF: letters in odd places move 1 forward, letters in even places move 1 back. Applied to CHAIR: DGBHS.
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7 : 48 :: 5 : ?
Answer and working
Answer A
48 = 7² − 1, the rule n² − 1. For 5: 5² − 1 = 24.
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Manoj walks 13 km towards the east. He turns left and walks 5 km. He turns left and walks 15 km. In which direction is he from the starting point?
Answer and working
Answer D
Taking east and north as positive: he ends 2 km west and 5 km north of the start, which is to the North-west.
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What day of the week was 1 August 1953?
Answer and working
Answer A
1 January 1901 was a Tuesday. From then to 1 August 1953 is 19,205 days; 19,205 ÷ 7 leaves 4, so the day is 4 on from Tuesday: Saturday.
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Which number replaces the question mark? 65, 126, 217, 344, 513, ?
Answer and working
Answer B
The rule: the terms are 4³, 5³, 6³ … plus 1. The missing term is 730.
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In a certain code, LADDER is written as OZWWVI. How is BOTTLE written in that code?
Answer and working
Answer B
From LADDER → OZWWVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to BOTTLE: YLGGOV.
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Which one does not belong with the others?
Answer and working
Answer D
In the others the letters are 3 apart (MPS); in ADH the last gap is 4. The odd one is ADH.
Directions for questions 78 to 78
Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Esha and Chetan sit next to each other. Chetan sits third to the right of Arun. Divya and Chetan sit next to each other. Bina does not sit next to Divya. Farhan and Esha sit next to each other.-
Who sits at the extreme right end?
Answer and working
Answer B
Only one order fits every clue, from the left: Bina, Arun, Farhan, Esha, Chetan, Divya. Divya.
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Pointing to a man in a photograph, Lata said, ‘He is the son of my grandfather’s only son.’ How is the man related to Lata?
Answer and working
Answer C
My grandfather’s only son is my father; his child, other than me, is my brother or sister. So the man is Lata’s brother.
-
Which pair comes next? AW, DU, GS, JQ, ?
Answer and working
Answer C
The first letters move forward 3 (A, D, G, J); the second move back 2 (W, U, S, Q). Next: MO.
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Statements:
(1) Some buses are cups.
(2) No buses are watches.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) All buses are watches.
(II) Some buses are not watches.Answer and working
Answer B
Conclusion I need not hold: some buses may lie outside watches. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.
-
Kavita walks 8 km towards the north. She turns left and walks 10 km. She turns left and walks 15 km. She turns left and walks 13 km. In which direction is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 3 km east and 7 km south of the start, which is to the South-east.
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In a queue, Farhan is 14th from the front and Ritu is 29th from the front. How many people stand between them?
Answer and working
Answer C
Between positions 14 and 29 there are 29 − 14 − 1 = 14 people.
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EGI : FHJ :: NPR : ?
Answer and working
Answer D
Each letter of EGI moves 1 forward to give FHJ. Doing the same to NPR gives OQS.
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If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 13 × 6 − 3 + 6 ÷ 6?
Answer and working
Answer C
Replace the signs: 13 − 6 × 3 ÷ 6 + 6. Division and multiplication first, then addition and subtraction: 16.
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Which one does not belong with the others?
Answer and working
Answer A
1331, 512, 125 are cubes; 81 is a square, not a cube. The odd one is 81.
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In a certain code, SCHOOL is written as TBINPK. How is GREEN written in that code?
Answer and working
Answer A
From SCHOOL → TBINPK: letters in odd places move 1 forward, letters in even places move 1 back. Applied to GREEN: HQFDO.
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Which number replaces the question mark? 20, 64, 24, 60, 28, 56, 32, ?
Answer and working
Answer A
The rule: two series alternate: 20, 24, 28 … rising by 4, and 64, 60, 56 … falling by 4. The missing term is 52.
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At what time between 10 and 11 o’clock are the hands of a clock together?
Answer and working
Answer D
The minute hand gains 11/2° a minute and must gain 300°. Time = 300 ÷ 5.5 = 60 × 10/11 = 546⁄11 minutes past 10.
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In a certain code, MOTHER is written as SFIUPN. How is TRAIN written in that code?
Answer and working
Answer D
From MOTHER → SFIUPN: the word is written backwards and each letter moves 1 forward. Applied to TRAIN: OJBSU.
-
In the English alphabet, which letter is 4th to the right of the 9th letter from the right?
Answer and working
Answer C
The 9th letter from the right is R (position 18). 4 places to the right: position 22, which is V.
-
DF : GI :: NP : ?
Answer and working
Answer C
Each letter of DF moves 3 forward to give GI. Doing the same to NP gives QS.
-
If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘×’ means ‘−’, ‘÷’ means ‘×’, what is the value of 50 + 2 − 3 ÷ 5 × 10?
Answer and working
Answer D
Replace the signs: 50 ÷ 2 + 3 × 5 − 10. Division and multiplication first, then addition and subtraction: 30.
-
Which one does not belong with the others?
Answer and working
Answer A
In the others the letters are 2 apart (JLN); in ACF the last gap is 3. The odd one is ACF.
-
Which number replaces the question mark? 19, 23, 32, 48, 73, 109, ?
Answer and working
Answer A
The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 158.
-
Statements:
(1) All planes are kites.
(2) Some boxes are kites.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some kites are planes.
(II) All kites are planes.Answer and working
Answer A
Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: some kites may lie outside planes. So: Only conclusion I follows.
-
Which group comes next? EFG, IJK, MNO, ?
Answer and working
Answer A
Inside each group the letters step by 1; each group starts 4 letters after the last (E, I, M). Next: QRS.
-
Which one does not belong with the others?
Answer and working
Answer D
1331, 8, 343 are cubes; 256 is a square, not a cube. The odd one is 256.
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ACE : BDF :: LNP : ?
Answer and working
Answer C
Each letter of ACE moves 1 forward to give BDF. Doing the same to LNP gives MOQ.
-
Pointing to a man in a photograph, Arun said, ‘His mother is the only daughter of my mother.’ How is the man related to Arun?
Answer and working
Answer A
The only daughter of my mother is my sister, so the child is my sister’s. So the man is Arun’s nephew.