- Test booklet
- प्रश्न पुस्तिका
- Booklet No.
- 1636553
- Series
- D
RRB NTPC CBT 1 (Graduate and Undergraduate) Paper 5
- 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
-
In which year was Sarvepalli Radhakrishnan awarded the Bharat Ratna?
Answer and working
-
Great Living Chola Temples, a UNESCO World Heritage Site, is in which state?
Answer and working
-
D. Ramanaidu received the Dadasaheb Phalke Award for which year?
Answer and working
-
Viswanatha Satyanarayana received the Jnanpith Award in which year?
Answer and working
-
In which year was CARTOSAT-2B launched?
Answer and working
-
Which of these organisations has its headquarters in Minsk?
Answer and working
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Which of these dams is on the Malampuzha River?
Answer and working
-
Karanam Malleswari is associated with which sport?
Answer and working
-
Which element has the symbol As?
Answer and working
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Which of these World Heritage Sites is in Sikkim?
Answer and working
-
Who was the Chief Justice of India throughout 1984?
Answer and working
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Who wrote ‘Devdas’?
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. Leander Paes tennis 2. Ankita Raina tennis 3. Sania Mirza auto racing Answer and working
Answer B
1. correct; 2. correct; 3. wrong: Sania Mirza goes with tennis. So: Only two pairs.
Source: Wikidata (CC0)
-
Which of these organisations has its headquarters in Lyon?
Answer and working
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Which of these was written by Paramahansa Yogananda?
Answer and working
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Who was the Governor of the Reserve Bank of India throughout 2014?
Answer and working
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Which of these national parks is in Ladakh?
Answer and working
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Sathyamangalam Tiger Reserve is in which state?
Answer and working
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What is the capital of Panama?
Answer and working
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Who was the first Vice President of India?
Answer and working
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The Mandovi river flows into which?
Answer and working
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World Consumer Rights Day is observed on which date?
Answer and working
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Which of these World Heritage Sites is in Himachal Pradesh?
Answer and working
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In which year was the Battle of Buxar fought?
Answer and working
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International Yoga Day is observed on which date?
Answer and working
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Nandur Madhmeshwar Bird Sanctuary, a Ramsar wetland, is in which state?
Answer and working
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Which element has the symbol Ir?
Answer and working
-
What is the capital of Panama?
Answer and working
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The quetzal is the currency of which country?
Answer and working
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Who was the Governor of the Reserve Bank of India throughout 2022?
Answer and working
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Shillong is the capital of which state or union territory?
Answer and working
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In which year was Churches and Convents of Goa inscribed as a UNESCO World Heritage Site?
Answer and working
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Which of these rivers flows into the Hooghly?
Answer and working
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In which year was the Battle of Imphal fought?
Answer and working
-
Consider the following pairs of national parks and their states:
How many of the pairs given above are correctly matched?National park State 1. Panna National Park Madhya Pradesh 2. Gugamal National Park Haryana 3. Sultanpur National Park Haryana Answer and working
Answer B
1. correct; 2. wrong: Gugamal National Park goes with Maharashtra; 3. correct. So: Only two pairs.
Source: Wikidata (CC0)
-
Which of these musicians is known for the sarangi?
Answer and working
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What is the currency of Seychelles?
Answer and working
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South Button Island National Park is in which state?
Answer and working
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In which year was Jammu and Kashmir formed as a state or union territory in its present form?
Answer and working
-
What is the capital of Goa?
Answer and working
Part BMathematics
-
The average of 11 numbers is 73. When one number is removed, the average of the rest is 75. Which number was removed?
Answer and working
Answer C
Total of 11 = 11 × 73 = 803. Total of 10 = 10 × 75 = 750. Removed = 803 − 750 = 53.
-
An angle is 16° more than its complement. What is the angle?
Answer and working
Answer C
a + (a − 16) = 90, so 2a = 106 and a = 53°.
-
A boat covers 60 km downstream in 3 hours and 56 km upstream in 4 hours. What is the speed of the stream?
Answer and working
Answer D
Downstream speed = 60 ÷ 3 = 20 km/h; upstream = 56 ÷ 4 = 14 km/h. Stream = (20 − 14) ÷ 2 = 3 km/h.
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If a − b = 1 and ab = 110, what is a³ − b³?
Answer and working
Answer C
a³ − b³ = (a − b)³ + 3ab(a − b) = 1 + 330 = 331.
-
What is the fourth proportional to 5, 6 and 130?
Answer and working
Answer B
5 : 6 = 130 : x, so x = 6 × 130 ÷ 5 = 156.
-
What is the simple interest on ₹49,000 at 9% per annum for 5 years?
Answer and working
Answer A
SI = P × R × T / 100 = 49,000 × 9 × 5 / 100 = ₹22,050.
-
Simplify: 7⁄12 + 1⁄10 + 1⁄3
Answer and working
Answer C
Over the common denominator 60: the sum is 61⁄60. Adding tops and bottoms separately (9/25) is the trap.
-
What is the average of the first 38 odd numbers?
Answer and working
Answer D
The first 38 odd numbers add up to 38² = 1444; the average is 38.
-
Two successive discounts of 20% and 20% are equal to a single discount of:
Answer and working
Answer C
Single discount = 20 + 20 − (20 × 20)/100 = 36%. The second discount is taken on the already reduced price, so the two do not simply add.
-
From a point on the ground 10 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 C
Height = 10 × tan 60° = 10 × √3 = 10√3 m.
-
The fare for a journey goes from ₹660 to ₹792. What is the percentage increase?
Answer and working
Answer B
Change = ₹132. On the original value: 132 ÷ 660 × 100 = 20%, a 20% increase. Dividing by the new value, 792, is the usual slip.
-
What is √729 + √676 − √225?
Answer and working
Answer C
27 + 26 − 15 = 38.
-
A and B together can do a job in 28 days. A alone can do it in 44 days. In how many days can B alone do it?
Answer and working
Answer B
B’s one day = 1/28 − 1/44 = 1/77. B alone takes 77 days.
-
Simplify: 1⁄2 + 3⁄4 + 1⁄2
Answer and working
Answer B
Over the common denominator 12: the sum is 7⁄4. Adding tops and bottoms separately (12/18) is the trap.
-
In what ratio must rice at ₹48/kg be mixed with rice at ₹61/kg so that the mixture is worth ₹52/kg?
Answer and working
Answer B
By alligation: cheaper : dearer = (61 − 52) : (52 − 48) = 9 : 4 = 9 : 4.
-
What is the mean proportional between 16 and 81?
Answer and working
Answer A
Mean proportional = √(16 × 81) = √1296 = 36.
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What is 150% of 2,060?
Answer and working
Answer B
150% of 2,060 = 2,060 × 150/100 = 3,090.
-
The two sides containing the right angle of a triangle are 12 cm and 16 cm. What is its area?
Answer and working
Answer C
Area = ½ × 12 × 16 = 96 cm².
-
What is the LCM of 180, 234 and 36?
Answer and working
Answer C
180 = 2² × 3² × 5; 234 = 2 × 3² × 13; 36 = 2² × 3². Each prime at its highest power: 2² × 3² × 5 × 13 = 2,340.
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What is the difference between the compound interest and the simple interest on ₹15,875 for 2 years at 20% per annum?
Answer and working
Answer D
For 2 years, CI − SI = P × (R/100)² = 15,875 × (20/100)² = ₹635.
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What is 35% of 320?
Answer and working
Answer B
35% of 320 = 320 × 35/100 = 112.
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A scooter runs at 18 km/h. What is its speed in metres per second?
Answer and working
Answer D
Multiply by 5/18: 18 × 5/18 = 5 m/s.
-
If a + b = 11 and ab = 10, what is a² + b²?
Answer and working
Answer B
a² + b² = (a + b)² − 2ab = 121 − 20 = 101.
-
The present ages of Asha and her elder brother are in the ratio 2 : 3. After 10 years, the ratio will be 4 : 5. What is Asha’s present age?
Answer and working
Answer C
Ages 2x and 3x. (2x + 10) : (3x + 10) = 4 : 5 gives x = 5. Asha is 2 × 5 = 10 years.
-
Pipe A fills a tank in 12 hours; pipe B empties the full tank in 28 hours. If both are opened together on an empty tank, when will it be full?
Answer and working
Answer A
Net filling per hour = 1/12 − 1/28 = 1/21. Time = 21 hours.
-
Two successive discounts of 25% and 20% are equal to a single discount of:
Answer and working
Answer B
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.
-
What is the mode of these numbers: 29, 51, 20, 32, 51, 11, 51?
Answer and working
Answer A
51 occurs most often (3 times): 51.
-
A train 225 m long passes a signal post in 9 seconds. What is its speed in km/h?
Answer and working
Answer B
Speed = 225 ÷ 9 = 25 m/s = 25 × 18/5 = 90 km/h.
-
What is the smallest number which, when divided by 16, 9 or 8, leaves a remainder of 4 in each case?
Answer and working
Answer D
LCM of 16, 9, 8 = 144. Add the remainder: 144 + 4 = 148.
-
A cone has base radius 14 cm and height 48 cm. What is its volume? (π = 22/7)
Answer and working
Answer A
Volume = ⅓πr²h = ⅓ × 22/7 × 14² × 48 = 9,856 cm³.
Part CGeneral Intelligence and Reasoning
-
In a queue, Lata is 18th from the front and Priya is 38th from the front. How many people stand between them?
Answer and working
Answer B
Between positions 18 and 38 there are 38 − 18 − 1 = 19 people.
-
Statements:
(1) All doors are rivers.
(2) No cups are doors.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) No doors are cups.
(II) Some rivers are doors.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.
-
Which one does not belong with the others?
Answer and working
Answer C
19, 67, 89 are prime; 27 = 3 × 9. The odd one is 27.
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Which number replaces the question mark? 16, 41, 21, 37, 26, ?
Answer and working
Answer B
The rule: two series alternate: 16, 21, 26 … rising by 5, and 41, 37, 33 … falling by 4. The missing term is 33.
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H is the brother of J. P is the daughter of H. J is the father of D. How is P related to D?
Answer and working
Answer A
Follow the links out from D: J is D’s father; H is J’s brother; P is H’s daughter. So P is D’s cousin.
-
Which group comes next? CDE, IJK, OPQ, ?
Answer and working
Answer D
Inside each group the letters step by 1; each group starts 6 letters after the last (C, I, O). Next: UVW.
-
Harish walks 4 km towards the south. He turns right and walks 9 km. He turns left and walks 5 km. He turns right and walks 3 km. How far is he from the starting point in a straight line?
Answer and working
Answer C
Taking east and north as positive: he ends 12 km west and 9 km south of the start. Straight-line distance = √(12² + 9²) = 15 km.
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In a certain code, SHIP is written as 52. How is BRIDGE written in that code?
Answer and working
Answer A
SHIP = 52 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For BRIDGE: 2 + 18 + 9 + 4 + 7 + 5 = 45.
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IJ : JK :: ST : ?
Answer and working
Answer C
Each letter of IJ moves 1 forward to give JK. Doing the same to ST gives TU.
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In a certain code, STAR is written as VWDU. How is LADDER written in that code?
Answer and working
Answer C
From STAR → VWDU: each letter moves 3 places forward. Applied to LADDER: ODGGHU.
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FH : GI :: QS : ?
Answer and working
Answer D
Each letter of FH moves 1 forward to give GI. Doing the same to QS gives RT.
-
Which number replaces the question mark? 3, 8, 15, ?, 35, 48
Answer and working
Answer A
The rule: the terms are 2², 3², 4² … minus 1. The missing term is 24.
-
Which pair comes next? ET, GS, IR, KQ, ?
Answer and working
Answer A
The first letters move forward 2 (E, G, I, K); the second move back 1 (T, S, R, Q). Next: MP.
-
Which one does not belong with the others?
Answer and working
Answer A
In the others the second number is 3n + 1 of the first; 3 : 12 breaks it. The odd one is 3 : 12.
-
If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 26 − 10 × 4 + 11 ÷ 11?
Answer and working
Answer D
Replace the signs: 26 × 10 ÷ 4 − 11 + 11. Division and multiplication first, then addition and subtraction: 65.
-
Statements:
(1) Some fans are chairs.
(2) All rings are chairs.Conclusions:
Take the statements to be true, however odd they sound. Which conclusion follows?
(I) Some fans are not chairs.
(II) Some fans are not rings.Answer and working
Answer D
Conclusion I need not hold: every one of the fans may be chairs. Conclusion II need not hold: every one of the fans may be rings. So: Neither conclusion follows.
-
Which one does not belong with the others?
Answer and working
Answer A
In the others the letters are 1 apart (ABC); in MNP the last gap is 2. The odd one is MNP.
-
Kavita walks 10 km towards the west. She turns right and walks 10 km. She turns left and walks 5 km. She turns right and walks 9 km. In which direction is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 15 km west and 19 km north of the start, which is to the North-west.
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M is the son of Q. Q is the sister of W. W is the father of C. How is M related to C?
Answer and working
Answer A
Follow the links out from C: W is C’s father; Q is W’s sister; M is Q’s son. So M is C’s cousin.
Directions for questions 90 to 90
Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Exactly 4 people sit between Gopal and Farhan. Bina and Divya sit next to each other. Arun sits somewhere to the right of Chetan. Exactly one person sits between Farhan and Esha. Esha sits second to the right of Bina. Arun and Esha sit next to each other.-
Who sits at the extreme left end?
Answer and working
Answer A
Only one order fits every clue, from the left: Chetan, Gopal, Bina, Divya, Esha, Arun, Farhan. Chetan.
-
Which number replaces the question mark? 24, 35, 48, 63, 80, 99, ?
Answer and working
Answer D
The rule: the terms are 5², 6², 7² … minus 1. The missing term is 120.
-
In the English alphabet, which letter is 3rd to the right of the 19th letter from the left?
Answer and working
Answer D
The 19th letter from the left is S (position 19). 3 places to the right: position 22, which is V.
-
In a certain code, CHALK is written as 40. How is LADDER written in that code?
Answer and working
Answer C
CHALK = 40 is the sum of (position + 1) for each letter. For LADDER: 13 + 2 + 5 + 5 + 6 + 19 = 50.
-
If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 3 ÷ 5 − 11 × 12 + 2?
Answer and working
Answer D
Replace the signs: 3 + 5 × 11 − 12 ÷ 2. Division and multiplication first, then addition and subtraction: 52.
-
In a certain code, HORSE is written as 65. How is GLASS written in that code?
Answer and working
Answer B
HORSE = 65 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For GLASS: 7 + 12 + 1 + 19 + 19 = 58.
-
BDF : DFH :: LNP : ?
Answer and working
Answer C
Each letter of BDF moves 2 forward to give DFH. Doing the same to LNP gives NPR.
-
1 January 2004 was a Thursday. What day of the week was 1 January 2005?
Answer and working
Answer A
2004 is a leap year: 366 days, 2 odd days. Thursday + 2 = Saturday.
-
What is the angle between the hour and minute hands of a clock at 4:20?
Answer and working
Answer D
Angle = |30H − 5.5M| = |120 − 110| = 10°. Answer: 10°. The hour hand moves too, half a degree a minute, which is why it is not 0°.
-
Which one does not belong with the others?
Answer and working
Answer A
21, 42, 28 are multiples of 7; 82 is not. The odd one is 82.
-
8 : 504 :: 4 : ?
Answer and working
Answer B
504 = 8³ − 8, the rule n³ − n. For 4: 4³ − 4 = 60.