RRB JE · Topic-wise previous year questions

Mathematics Previous Year Questions (page 9)

561 Mathematics questions asked in RRB JE previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.

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Q401RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘−‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 16 ÷ 2 + 22 × 2 − 8 = ? + 3
  1. A28
  2. B31
  3. C32
  4. D34
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Correct answer: (C) 32

Q402RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
Which statement is INCORRECT regarding prokaryotic organism?
  1. ANuclear region is defined
  2. BPrimitive form of organism
  3. CMembrane-bound organelles are absent
  4. DSingle chromosome is present
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Correct answer: (A) Nuclear region is defined

Q403RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
P and Q together can fill a cistern with water in 24 hours. If P alone can fill the cistern with water in 72 hours, then in how many hours will Q alone fill three-fourth of the same cistern with water?
  1. A54
  2. B28
  3. C27
  4. D55
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Correct answer: (C) 27

Q404RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
The 7-digit number 57A001B is divisible by 9. What is the minimum value of (A + B)?
  1. A5
  2. B8
  3. C3
  4. D2
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Correct answer: (A) 5

Q405RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
This question is based on the five, three-digit numbers given below. (Left) 857 329 417 628 751 (Right) (Example- 697 – First digit = 6, second digit = 9 and third digit = 7) What will be the resultant if third digit of the highest number is added to the third digit of lowest number?
  1. A14
  2. B17
  3. C16
  4. D15
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Correct answer: (C) 16

Q406RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
What is it called when the government sells part of its share in public sector companies to the public?
  1. ANationalisation
  2. BGlobalisation
  3. CDisinvestment
  4. DIndustrialisation
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Correct answer: (C) Disinvestment

Q407RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A cyclist increases her speed from 6 m/s to 12 m/s in 3 seconds on a straight road. What is her acceleration during this period?
  1. A2 m/s²
  2. B3 m/s²
  3. C6 m/s²
  4. D0.5 m/s²
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Correct answer: (A) 2 m/s²

Q408RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A solid sphere is melted and recast into 18 identical cones, each having a base radius of 3 cm and height of 18 cm. Find the radius of the sphere.
  1. A9 cm
  2. B10 cm
  3. C7 cm
  4. D8 cm
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Correct answer: (A) 9 cm

Q409RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
Let
and
be roots of the equation
, and the roots of the equation
are
and
. The value of
is _____.
  1. A48
  2. B42
  3. C45
  4. D40
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Correct answer: (B) 42

Q410RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
Why do wet clothes dry faster when spread out?
  1. AClothes become hotter
  2. BWater escapes faster due to sunlight
  3. CSurface area is increased
  4. DWater boils off
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Correct answer: (C) Surface area is increased

Q411RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
Simplify: 52 - {38 ÷ (4 × 7 - 9)}
  1. A50
  2. B46
  3. C55
  4. D57
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Correct answer: (A) 50

Q412RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A is faster than B. In a 2500 m race, A gives B a start of 200 meters. A runs at 25 m/s. Who wins and by how much if B runs at 23 m/s?
  1. AThey finish together
  2. BA wins by 50 meters
  3. CB wins by 100 meters
  4. DA wins by 100 meters
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Correct answer: (A) They finish together

Q413RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
O and C are respectively the orthocentre and the circumcentre of an acute angled triangle ∆PQR. ∠QCR = 138°. A perpendicular PM is dropped from P on side QR. If ∠PQR = 52°, what is the degree measure of ∠RPM?
  1. A38
  2. B42
  3. C69
  4. D31
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Correct answer: (D) 31

Q414RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A cyclic compound that contains only single bonds is classified as:
  1. AAliphatic
  2. BAromatic
  3. CSaturated
  4. DUnsaturated
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Correct answer: (C) Saturated

Q415RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
According to the law of constant proportions, the compound in which hydrogen and oxygen are present in a fixed mass ratio of 1:8 is:
  1. AMethane
  2. BAmmonia
  3. CWater
  4. DHydrogen peroxide
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Correct answer: (C) Water

Q416RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A man bought two types of apples, one at ₹2 for 3 apples and the other at ₹6 per apple. He purchased an equal number of each type and sold all the apples at ₹6 per apple. Find his percentage profit.
  1. A78%
  2. B80%
  3. C77%
  4. D75%
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Correct answer: (B) 80%

Q417RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
In a seminar, 5 teachers and 7 students spent money on books. The average spending of all of them together was ₹260. The average spending of the teachers alone was ₹400. Find the average spending amount of the students.
  1. A₹160
  2. B₹180
  3. C₹120
  4. D₹140
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Correct answer: (A) ₹160

Q418RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A and B jointly start a business. The investment of A is equal to three times the investment of B. Find the share of A in the annual profit of ₹55204.
  1. A₹41,403
  2. B₹40,403
  3. C₹43,403
  4. D₹42,403
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Correct answer: (A) ₹41,403

Q419RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
The length of a rectangular field is 34 m more than its breadth. Its area is 5040 m². Its breadth (in m) is:
  1. A37
  2. B56
  3. C44
  4. D54
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Correct answer: (B) 56

Q420RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
David has borrowed an amount of ₹440000 from a bank to start a business. How much simple interest (in ₹) will he pay at a rate of 6% per annum after 2 years?
  1. A52800
  2. B54800
  3. C53800
  4. D51800
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Correct answer: (A) 52800

Q421RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
The harmonic mean of 4, 8 and 16 is (Rounded off to four decimal places)
  1. A6.5871
  2. B6.5817
  3. C6.8517
  4. D6.8571
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Correct answer: (D) 6.8571

Q422RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
Which property correctly distinguishes liquids from solids?
  1. ALiquids cannot diffuse into other substances
  2. BLiquids are completely incompressible in nature
  3. CLiquids have fixed shape but no fixed volume
  4. DLiquids have fixed volume but no fixed shape
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Correct answer: (D) Liquids have fixed volume but no fixed shape

Q423RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
The following data represents the number of goals scored by a football team in 10 matches. 2, 3, 1, 4, 2, 5, 2, 3, 2, 4 The mode of the above data is x. If one more match is played, and the team scores 3 goals, what will be the difference between the previous mode and the new mode?
  1. A1
  2. B3
  3. C2
  4. D0
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Correct answer: (D) 0

Q424RRB JE CBT-1, 20 Feb 2026, Shift 2 (12:45 PM)
A ball initially at rest is dropped from a height and takes 5 seconds to reach the ground. What is the average speed during its fall? (g = 10 m/s²)
  1. A20 m/s
  2. B10 m/s
  3. C50 m/s
  4. D25 m/s
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Correct answer: (D) 25 m/s

Q425RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
A sound wave travels from air into water. How does its frequency, speed, and wavelength change as it crosses the boundary?
  1. AIts frequency increases, speed remains the same, and wavelength decreases
  2. BIts frequency decreases, speed decreases, and wavelength increases
  3. CIts frequency remains constant, speed decreases, and wavelength decreases
  4. DIts frequency remains constant, speed increases, and wavelength increases
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Correct answer: (D) Its frequency remains constant, speed increases, and wavelength increases

Q426RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. (Note: All numbers are single digit numbers only.) (Left) 8 9 & 8 $ 5 # @ & # 4 @ 3 ! + ? 4 5 & 8 (Right) If all the symbols are dropped from the series, which of the following will be seventh from the right?
  1. A8
  2. B5
  3. C4
  4. D3
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Correct answer: (A) 8

Q427RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Which statement correctly describes a heterogeneous mixture?
  1. AIts particles are uniformly distributed at particle level
  2. BIts composition remains fixed and constant always
  3. CIts composition is not uniform throughout the mixture
  4. DIts components cannot be separated by physical methods
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Correct answer: (C) Its composition is not uniform throughout the mixture

Q428RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Suppose a student wants to design an amusement park ride that moves people in a circle at uniform speed. Which concept should the student apply to ensure riders stay safely in their seats during the circular motion?
  1. AIncreasing speed randomly will keep them safe
  2. BGravity alone is sufficient to keep the riders in place
  3. CA constant outward force is needed to keep riders pressed against their seats
  4. DA constant inward (centripetal) force is needed on the riders to keep them in uniform circular motion
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Correct answer: (D) A constant inward (centripetal) force is needed on the riders to keep them in uniform circular motion

Q429RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
A plant sheds its leaves and bark to remove stored waste products. How does this strategy differ from the way animals excrete wastes?
  1. APlants use blood circulation for excretion, unlike animals.
  2. BPlants use digestive systems to remove waste, unlike animals.
  3. CPlants have a single organ system for waste removal, unlike animals.
  4. DPlants use parts that will be shed, while animals have specialized organs for excretion.
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Correct answer: (D) Plants use parts that will be shed, while animals have specialized organs for excretion.

Q430RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
A dishonest vendor claims that he is selling goods at their cost price. But he is weighing 902 grams for 1000 grams. What is his profit percentage (rounded off to 2 decimal places)?
  1. A12.08%
  2. B6.51%
  3. C11.82%
  4. D10.86%
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Correct answer: (D) 10.86%

Q431RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
If a point is located below the principal axis of a spherical mirror, what sign is assigned to its perpendicular distance according to the sign convention for spherical mirrors?
  1. APositive
  2. BZero
  3. CDepends on mirror type
  4. DNegative
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Correct answer: (D) Negative

Q432RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
In this question, a group of numbers/symbols is coded using letter codes as per the codes given below and the conditions which follow. The correct combination of codes following the conditions is your answer. If none of the conditions follow, then codes for the respective Number/Symbol are to be followed directly as given in the table. Number/symbol 2@ 58 $9& % #6+731 Code P TF JW A E RD Q S B U L Conditions: If the first element is a number and the last a symbol, the codes for these two (the first and the last elements) are to be interchanged. If the first element is an even number and the last an odd number, the first and last elements are to be coded as $. If both the second and third elements are perfect cubes, the third element is to be coded as the code for the second element. What is the code for the following group of numbers/symbols? 28%5
  1. APRJF
  2. B$RJ$
  3. CPJRF
  4. D$JR$
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Correct answer: (D) $JR$

Q433RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
In this question, a group of number/symbol is coded using letter codes as per the codes given below and the conditions which follow. The correct combination of codes following the conditions is your answer. If none of the conditions follow, then codes for the respective Number/Symbol to be followed directly as given in the table. NUMBER/SYMBOL 7$86&#3+ 5429@ * CODE A E R T H U K L P Z C V NQ Conditions – (i) If the first element is a symbol and the last a number, the codes for these two (the first and the last elements) are to be interchanged. (ii) If the first element is an odd number and the last an even number, the first and last elements are to be coded as © (iii) If both second and third elements are perfect squares, the third element is to be coded as the code for the second element. What will be the code for the following group? 7 4 9 @ $
  1. AA Z Z R E
  2. BE Z Z N E
  3. CA V Z N E
  4. DA Z Z N E
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Correct answer: (D) A Z Z N E

Q434RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
The selling price of 20 books is equal to the cost price of 31 books. Find the loss or gain percentage.
  1. A55 % gain
  2. BQuestion content
  3. C55 % loss
  4. DQuestion content
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Correct answer: (A) 55 % gain

Q435RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
The 7-digit number 93A562B is divisible by 9, What is the minimum value of (A + B)?
  1. A2
  2. B4
  3. C7
  4. D5
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Correct answer: (A) 2

Q436RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Girish scored 664 marks in an examination and was 8 marks short of 84% of the maximum marks. In the same examination, his friend scored 472 marks. What is the percentage of marks scored by his friend?
  1. A59%
  2. B61%
  3. C56%
  4. D58%
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Correct answer: (A) 59%

Q437RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
If 7 : 21 :: 2.2 : x and 7 : 49 :: 9 : y, what is the ratio of x to y?
  1. A11 : 105
  2. B12 : 103
  3. C15 : 115
  4. D9 : 106
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Correct answer: (A) 11 : 105

Q438RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
In a wallet containing gold, silver and bronze tokens, the ratio of gold to silver tokens was 5:17 while the ratio of bronze to gold tokens was 18:19. What was the ratio of bronze to silver tokens?
  1. A98:328
  2. B93:327
  3. C90:323
  4. D95:330
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Correct answer: (C) 90:323

Q439RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
During a round-trip journey where a person walks to a location at 5 km/h and returns at 3 km/h, which statement about average speed is correct?
  1. AAverage speed is 3 km/h.
  2. BAverage speed is 5 km/h.
  3. CAverage speed will be less than the arithmetic mean of 5 km/h and 3 km/h.
  4. DAverage speed equals the arithmetic mean of 5 km/h and 3 km/h.
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Correct answer: (C) Average speed will be less than the arithmetic mean of 5 km/h and 3 km/h.

Q440RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
The average of the first 18 positive multiples of 15 is:
  1. A18
  2. B135
  3. C15
  4. D142.5
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Correct answer: (D) 142.5

Q441RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Find the least number which when divided by 5, 6, 3 and 4 leaves a remainder 2, but when divided by 7 leaves no remainder.
  1. A168
  2. B147
  3. C198
  4. D182
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Correct answer: (D) 182

Q442RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
The population of country is 10 crores at present and is expected to grow to 17.28 crores in the next three years. Neglecting the death rate, the uniform annual percentage rate of growth is:
  1. A11
  2. B20
  3. C10
  4. D12
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Correct answer: (B) 20

Q443RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Why are solids described as rigid in nature?
  1. ATheir particles slide easily under applied external force
  2. BTheir particles possess very low mass and volume
  3. CTheir particles are closely packed with strong attraction
  4. DTheir particles move freely with weak mutual attraction
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Correct answer: (C) Their particles are closely packed with strong attraction

Q444RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Kiran has borrowed an amount of ₹4,40,000 from a bank to start a business. How much simple interest (in ₹) will he pay at a rate of 7% per annum after 2 years?
  1. A60600
  2. B63600
  3. C61600
  4. D62600
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Correct answer: (C) 61600

Q445RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Simplify the following. 294 ÷ [10 ÷ 5 × {11 + 12 − (8 + 5 − (10 + 1))}]
  1. A7
  2. B4
  3. C2
  4. D15
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Correct answer: (A) 7

Q446RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
The length of a rectangular ground is 21 m more than its breadth. Its area is 31,042 m². Its breadth (in m) is:
  1. A182
  2. B151
  3. C161
  4. D166
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Correct answer: (D) 166

Q447RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 151. The average sale of cars per day on Sundays is 129. What is the average sale of cars per day on Saturdays, if the first Saturday is on the 3rd of March and average sale of cars per day for the whole month is 148?
  1. A155
  2. B150
  3. C145
  4. D153
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Correct answer: (B) 150

Q448RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Chetan’s salary was first reduced by 40% and subsequently raised by 24%. How much percentage was his final salary lower compared to his initial salary?
  1. A24%
  2. B40%
  3. C25.6%
  4. D9.6%
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Correct answer: (C) 25.6%

Q449RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
Anirudh and Brahmaji are assigned the work of constructing a wall. Anirudh can do the job in 60 hours alone where as Brahmaji can do the job three times faster. Anirudh starts the work during the first hour and Brahmaji does the work during the second hour. During the third hour both do the job simultaneously. If they continue in this fashion, how long it will take for them to complete the job?
  1. A21.5 hours
  2. B22.5 hours
  3. C23 hours
  4. D7.5 hours
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Correct answer: (C) 23 hours

Q450RRB JE CBT-1, 20 Feb 2026, Shift 1 (9:00 AM)
If + means - , - means x , x means ÷ , ÷ means +, then what will come in place of the question mark (?) in the following equation? 8-21×3÷75+13=?
  1. A119
  2. B120
  3. C128
  4. D118
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Correct answer: (D) 118

How to use these RRB JE Mathematics questions

Every question here was asked in a real RRB JE paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full RRB JE papers as timed tests to check your speed under exam conditions.

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