RRB ALP CBT 1 Question Paper - 16 February 2026 (Shift 2): Answer Key & Solutions
Correct answers with explanations for all 75 questions. Try the test first for the best practice!
-
1 Question 1
MathematicsFind the HCF of 24, 36 and 102.
- A 12
- B 8
- C 4
- D 6
Correct answer: D
-
2 Question 2
MathematicsThe price of a product increases by 38% in the first year and then decreases by 20% in the second year. If the initial price of the product is ₹5,100, calculate the final price at the end of the second year.
- A ₹5,720.80
- B ₹5,630.40
- C ₹5,490.60
- D ₹5,570.20
Correct answer: B
-
3 Question 3
MathematicsTwo taps, A and B, can fill a cistern in 6 hours and 7.5 hours, respectively. Both the taps are opened for 2 hours and then B is turned off. How much time will A take to fill the remaining cistern?
- A 3.2 hours
- B 2 hours
- C 5/3 hours
- D 2.4 hours
Correct answer: D
-
4 Question 4
MathematicsA 628 m long train crosses a man walking at a speed of 10.1 km/h in the opposite direction in 12 seconds. What is the speed (in km/h) of the train?
- A 180.2
- B 180.6
- C 179.3
- D 178.3
Correct answer: D
-
5 Question 5
MathematicsA rectangular piece of paper is 44 cm long and 89 cm wide. A cylinder is formed by rolling the paper along its length. Find the curved surface area of the cylinder.
- A 3902 cm²
- B 3961 cm²
- C 3931 cm²
- D 3916 cm²
Correct answer: D
-
6 Question 6
MathematicsA cistern has two inlets I₁ and I₂ which can fill it in 16 hours and 20 hours, respectively.
An outlet can empty the full cistern in 12 hours. If all the three pipes are opened together in the empty cistern, how much time will they take to fill the cistern completely?- A 33 6/7 days
- B 34 2/6 days
- C 34 2/7 days
- D 36 5/6 days
Correct answer: C
-
7 Question 7
MathematicsA circle has a radius of 8 cm. A chord AB is drawn such that the distance from the centre O to the chord is 6 cm. What is the length of AB?
- A 4√15 cm
- B 2√7 cm
- C 4√7 cm
- D 8√7 cm
Correct answer: C
-
8 Question 8
MathematicsThe area of a square is 6561 cm². Its perimeter is equal to the perimeter of a regular hexagon. What is the area (in cm²) of the hexagon?
- A 4348√3
- B 4374√3
- C 4338
- D 4404
Correct answer: B
-
9 Question 9
MathematicsFrom the top of a tower, the angles of depression of two objects, on the ground on the same side of it are observed to be 60° and 30°, respectively, and the height of the tower is 450 m. The distance between the objects (in m) is:
- A 450√3
- B 150√3
- C 100√3
- D 300√3
Correct answer: D
-
10 Question 10
MathematicsThe price of an article was ₹1600. It increased by 10% in the first year and by 30% in the second year. What is the price (in ₹) of the article after two years?
- A 2288
- B 2080
- C 2248
- D 1760
Correct answer: A
-
11 Question 11
MathematicsA and B start a business by investing ₹40,000 and ₹60,000, respectively. At the end of the year, they earn a profit of ₹20,000. How much profit will A receive?
- A ₹8,000
- B ₹7,500
- C ₹9,000
- D ₹8,500
Correct answer: A
-
12 Question 12
MathematicsWhat sum (in ₹) will earn an interest of ₹480 in 2 years at 5% simple interest per year?
- A 4600
- B 5000
- C 4950
- D 4800
Correct answer: D
-
13 Question 13
MathematicsIf the mean of 15 numbers is 25 and one number 36.2 is removed from the numbers, then the mean of the remaining numbers is:
- A 20.8
- B 21.9
- C 24.2
- D 20.1
Correct answer: C
-
14 Question 14
MathematicsIf 2x + 3y = 11 and xy = 2, find the value of 4x² + 9y².
- A 101
- B 97
- C 109
- D 117
Correct answer: B
-
15 Question 15
MathematicsVineet buys a juicer for ₹5,400. He wishes to gain a profit of 20% after offering a discount of 10% on the marked price to his customer. What should be the marked price
(in ₹) for this purpose?- A 7,150
- B 7,050
- C 7,100
- D 7,200
Correct answer: D
-
16 Question 16
MathematicsOn a certain sum, at the same rate of interest, the simple interest is ₹66 and compound interest is ₹69 for 2 years. What is the sum (in ₹)?
- A 358
- B 363
- C 356
- D 367
Correct answer: B
-
17 Question 17
MathematicsA shopkeeper bought 50 mangoes at ₹10 each. He sold 30 mangoes at a profit of 20% and the remaining 20 mangoes at a loss of 10%. What is his overall profit or loss percentage?
- A 2% loss
- B 6% loss
- C 4% profit
- D 8% profit
Correct answer: D
-
18 Question 18
MathematicsA and B invested in a business in the ratio 4 : 5. They earned a profit of ₹54,000. They shared one-half of the profit equally and the other half in proportion to their investment.
Find the profit share of B.- A ₹28,500
- B ₹25,750
- C ₹27,550
- D ₹26,650
Correct answer: A
-
19 Question 19
MathematicsA shopkeeper marks a mobile phone 40% above its cost price. He then offers two successive discounts of 10% and 5% on the marked price. Find the profit percentage he makes on the cost price.
- A 23%
- B 19.7%
- C 22.3%
- D 21%
Correct answer: B
-
20 Question 20
MathematicsWhat is the mode of the following data?
86, 84, 71, 82, 82, 63, 84, 71, 70, 86, 88, 65, 71, 81, 87, 60, 60, 74, 78, 62, 75, 66, 68, 85, 72- A 71
- B 82
- C 84
- D 86
Correct answer: A
-
21 Question 21
MathematicsA and B start a business by investing ₹29,000 and ₹95,000, respectively. B withdraws his investment after 6 months, and then C joins the business with an investment of ₹67,000 for the remaining period of the year. If 15% of the total profit is ₹6,600, what is B’s share of the profit?
- A ₹19,000
- B ₹20,000
- C ₹20,500
- D ₹19,500
Correct answer: A
-
22 Question 22
MathematicsThe value of 8² + √(10²) − 1√16 − 5 =
- A 62
- B 66
- C 65
- D 73
Correct answer: C
-
23 Question 23
MathematicsTrain A is 260 m long and crosses a platform of length 160 m in 28 seconds. Train B is 340 m long and passes a stationary man in 20 seconds.
Both trains travel at constant speeds on parallel straight tracks. Find the time (in seconds) taken when the faster train completely overtakes the slower train while moving in the same direction?- A 250
- B 300
- C 360
- D 320
Correct answer: B
-
24 Question 24
ReasoningWhat should come in place of the question mark (?) in the given series based on the English alphabetical order?
CAU JHB QOI XVP ?- A EDS
- B ERT
- C EWC
- D ECW
Correct answer: D
-
25 Question 25
ReasoningIn a certain code language, ‘SHAT’ is coded as ‘4956’ and ‘ASHY’ is coded as ‘3645’.
What is the code for ‘Y’ in the given code language?- A 5
- B 4
- C 3
- D 6
Correct answer: C
-
26 Question 26
ReasoningIf ‘P’ stands for ‘×’, ‘Q’ stands for ‘÷’, ‘R’ stands for ‘−’ and ‘S’ stands for ‘+’, then what will come in place of the question mark (?) in the following equation?
(12 P 3) Q 4 S 5 P 8 = ?- A 53
- B 49
- C 41
- D 62
Correct answer: B
-
27 Question 27
ReasoningWhat should come in place of the question mark (?) in the given series based on the English alphabetical order?
BAJ VUD POX JIR ?- A DFR
- B DRF
- C DLC
- D DCL
Correct answer: D
-
28 Question 28
ReasoningRefer to the following letter, symbol series and answer the question that follows.
Counting to be done from left to right only.
(Left) J @ € * Y % V % C I D % D H $ K © L E £ M C (Right)
How many such symbol are there, each of which is immediately preceded by a letter and also immediately followed by a letter?- A 5
- B 6
- C 8
- D 7
Correct answer: B
-
29 Question 29
ReasoningRefer to the following letter series and answer the question that follows. Counting to be done from left to right only.
(Left) N G T X R K H V A W Z W U B R E C F K L Z (Right)
How many such vowels are there, each of which is immediately preceded by a consonant and also immediately followed by a consonant?- A None
- B One
- C Three
- D Two
Correct answer: C
-
30 Question 30
ReasoningRefer to the following letter series and answer the question that follows. Counting to be done from left to right only.
(Left) X H O Z N M W I C G I U S O R Y I Y V I H W (Right)
How many such vowels are there, each of which is immediately preceded by a consonant and also immediately followed by a consonant?- A 6
- B 5
- C 8
- D 7
Correct answer: B
-
31 Question 31
ReasoningSeven boxes, A, B, C, D, E, F and G, are kept one over the other, but not necessarily in the same order. E is kept third from the bottom. G is kept immediately above E. Only two boxes are kept between G and A, but A is not kept in the lowermost position. B is kept immediately below A. Only two boxes are kept between C and F, and D is kept immediate below F. Which box is third from the top?
- A C
- B D
- C F
- D A
Correct answer: A
-
32 Question 32
ReasoningRefer to the following number, symbol series and answer the question. Counting to be done from left to right only. All numbers are single-digit numbers.
(Left) 4 3 1 2 $ 9 & 2 ? 4 @ 1 9 * 3 7 3 @ & < % (Right)
How many such symbols are there each of which is immediately preceded by another symbol and also immediately followed by a number?- A One
- B Three
- C Two
- D None
Correct answer: D
-
33 Question 33
ReasoningSelect the venn diagram that best illustrates the relationship between the following classes.
Rabbits, Ants, Lions- A One circle inside another circle, with a third separate circle
- B Three separate, non-overlapping circles
- C Three circles in a chain (middle overlaps both ends)
- D Two separate small circles inside one big circle
Correct answer: B
-
34 Question 34
ReasoningTwo sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 6 - 36 - 72 - 144 ; 7 - 49 - 98 - 196- A 12 - 144 - 288 - 576
- B 5 - 25 - 50 - 110
- C 15 - 225 - 625 - 676
- D 8 - 64 - 128 - 226
Correct answer: A
-
35 Question 35
ReasoningA question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and select the most appropriate answer.
Question:
Among 5 poles, I, L, O, M and D each having a different height, which pole is the tallest?
Statements:
(I) M is taller than L. L is taller than D.
(II) D is shorter than I but taller than O.- A Data in both statements I and II together are not sufficient to answer the question.
- B Data in both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question.
- C Data in statement I alone is sufficient to answer the question while data in statement II is not.
- D Data in statement II alone is sufficient to answer the question while data in statement I is not.
Correct answer: A
-
36 Question 36
ReasoningRead the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All angry are birds.
Some angry are pigs.
Conclusion (I): Some birds are pigs.
Conclusion (II): All pigs are birds.- A Only conclusion (II) follows
- B Both conclusion (I) and (II) follow
- C Only conclusion (I) follows
- D Neither conclusion (I) and (II) follows
Correct answer: C
-
37 Question 37
ReasoningAmong five people named V, W, X, Y and Z, each has a different age. Z is older than Y but younger than W. X is older than V but younger than Y. Who among them is the second oldest?
- A W
- B X
- C Z
- D V
Correct answer: C
-
38 Question 38
ReasoningIf ‘A’ stands for ‘÷’, ‘B’ stands for ‘x’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘-’, what will come in place of the question mark (?) in the following equation?
159 C 60 A 12 B 11 D 203 = ?- A 10
- B 12
- C 11
- D 14
Correct answer: C
-
39 Question 39
ReasoningEach of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. R has an exam on Friday. Only 2 people have an exam between R and Q. S has an exam immediately before U and P has an exam immediately after V. Only 2 people have an exam between T and U.
Who has an exam on Monday?- A S
- B P
- C T
- D U
Correct answer: C
-
40 Question 40
ReasoningBE 11 is related to AI 33 in a certain way. In the same way, HK 16 is related to GO 48. To which of the given options is SV 18 related, following the same logic?
- A TY 55
- B RZ 54
- C TZ 65
- D RY 55
Correct answer: B
-
41 Question 41
ReasoningRefer to the following letter series and answer the question that follows. Counting to be done from left to right only.
(Left) O K A E K J E E K R Y U V J M W O F E O Y A (Right)
How many such vowel are there, each of which is immediately preceded by a consonant and also immediately followed by a vowel?- A 3
- B 5
- C 4
- D 2
Correct answer: A
-
42 Question 42
ReasoningRefer to the following series and answer the question (All numbers are single digit numbers only. Counting to be done from left to right.)
(Left) 9 1 7 5 1 1 4 7 2 1 9 5 4 8 5 6 6 8 7 6 8 1 5 7 6 2 8 (Right)
How many such odd numbers are there each of which is immediately preceded by an even number and also immediately followed by an even number?- A 5
- B 3
- C 4
- D 2
Correct answer: B
-
43 Question 43
ReasoningIn a certain code language,
'A + B' means 'A is the son of B',
'A - B' means 'A is the brother of B',
'A × B' means 'A is the wife of B' and
'A ÷ B' means 'A is the father of B'.
Based on the above, how is T related to M if 'T × R - Y + G ÷ M'?- A Brother's wife
- B Mother
- C Sister
- D Brother's daughter
Correct answer: A
-
44 Question 44
ReasoningBased on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
- A XY−ZA
- B LM−MQ
- C NO−PQ
- D QR−ST
Correct answer: B
-
45 Question 45
ReasoningBased on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)- A MJ - NK
- B TQ - JI
- C OL - PM
- D VS - WT
Correct answer: B
-
46 Question 46
ReasoningWURT is related to RPMZ in a certain way based on the English alphabetical order. In the same way, QNLG is related to LIGM. To which of the following is SPMH related, following the same logic?
- A NKHN
- B NLIM
- C MLHM
- D MKIN
Correct answer: A
-
47 Question 47
ReasoningKamal starts from point X and walks for 3 m towards west. Then he takes a left turn and walks for 8 m. Then he takes a left turn again and walks for 10 m. Then, again, he takes a left turn and walks for 2 m. Once more he takes a left turn and walks for 7 m and stops at a point Y. Towards which direction should he walk in order to reach point A again?
(All turns are 90-degree turns only unless specified.)- A West
- B East
- C North
- D South
Correct answer: C
-
48 Question 48
ReasoningD, E, F, G, K, L and M are sitting around a circular table, facing the centre of the table. F sits third to the left of K. Only one person sits between K and D when counted from the left of D. Only two people sit between L and E when counted from the right of E. G is an immediate neighbour of L.
Who sits third to the right of M?- A G
- B D
- C L
- D F
Correct answer: D
-
49 Question 49
ReasoningA, G, H, P, S, and Y live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2, and so on, until the topmost floor is numbered 6. H lives immediately above Y. Only two people live between P and Y. P lives on an odd-numbered floor. S lives immediately below G. Who lives on the topmost floor?
- A H
- B P
- C A
- D S
Correct answer: C
-
50 Question 50
ReasoningBased on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
- A FG-HI
- B OP-IJ
- C ST-UV
- D WX-YZ
Correct answer: B
-
51 Question 51
ReasoningEach of G, J, M, O, R, S and T has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week.
Only three people have exams between O and S. Only three people have exams between G and J. T has an exam on some day before R and on some day after M. Only J has an exam after S.
Who has an exam on Thursday?- A M
- B O
- C G
- D T
Correct answer: D
-
52 Question 52
ReasoningA, B, C, D, E and F are sitting around a circular table, facing the centre. D sits to the immediate right of E. B sits to the immediate right of F. C sits second to the left of E.
What is the position of A with respect to C?- A Immediate right
- B Second to the left
- C Third to the left
- D Third to the right
Correct answer: A
-
53 Question 53
ReasoningWhat will come in the place of ‘?’ in the following equation, if ‘+’ and ‘-‘ are interchanged and ‘×’ and ‘÷’ are interchanged?
33 + 31 × 31 ÷ 2 - 49 = ?- A 82
- B 81
- C 78
- D 80
Correct answer: D
-
54 Question 54
ReasoningRefer to the following letter series and answer the question that follows.
(Left) M P L T V H B U I N G F D C R E W X L M P O T Y R C D S W Z X D F (Right)
How many letters are there in the letter series between the letter which is sixth from the right end and sixth from left end of the series?- A 23
- B 21
- C 22
- D 20
Correct answer: B
-
55 Question 55
ReasoningIn a code language, 'ONE' is coded as 9 and 'FOUR' is coded as 16. How will 'FIFTEEN' be coded in the same language?
- A 49
- B 18
- C 24
- D 36
Correct answer: A
-
56 Question 56
ReasoningCPWG is related to HLZE in a certain way based on the English alphabetical order. In the same way, IMTE is related to NIWC. To which of the following is JOWF related, following the same logic?
- A PLZE
- B OKZD
- C OLYD
- D PKYE
Correct answer: B
-
57 Question 57
ReasoningWhat should come in place of ? in the given series?
23 26 31 38 47 ?- A 60
- B 58
- C 59
- D 57
Correct answer: B
-
58 Question 58
ReasoningIn this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Among the five poles-R, A, M, E, and N-each having a different height, which one is the shortest?
(I) E is taller than only one pole. R is taller than A.
(II) E is taller than N.- A Both statements I and II together are NOT sufficient to answer the question
- B Data in statement I alone is sufficient to answer the question while data in statement II is not
- C Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
- D Data in statement II alone is sufficient to answer the question while data in statement I is not
Correct answer: C
-
59 Question 59
ReasoningWhat should come in place of the question mark (?) in the given series?
79 88 100 115 133 154 ?- A 170
- B 181
- C 175
- D 178
Correct answer: D
-
60 Question 60
ReasoningAkshita starts from Point A and drives 22 km towards North. He then takes a left turn, drives 17 km, turns left and drives 27 km. He then takes a left turn and drives 21 km. He takes a final left turn, drives 5 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only, unless specified.)
- A 5 km to the east
- B 5 km to the west
- C 4 km to the east
- D 4 km to the west
Correct answer: D
-
61 Question 61
ReasoningA and D are married to each other. A is the mother of L. L is the husband of P. P is the mother of U. U is the sister of O. O is the only grandson of D. How is O related to L?
- A Father
- B Son
- C Father's father
- D Daughter
Correct answer: B
-
62 Question 62
Reasoning49 is related to 99 following a certain logic. Following the same logic, 73 is related to 147. To which of the given options is 26 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)- A 53
- B 62
- C 59
- D 64
Correct answer: A
-
63 Question 63
ReasoningTwo sets of numbers are given below. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operation on the second number results in the third number and so on.
Which of the given options follows the same set of operations as in the given sets?
(NOTE - A two/three digit number cannot be broken into individual digits for operations e.g. if 37 is followed by 10, the operation cannot be 3+7 as a two digit number cannot be broken into individual digits) 42 - 45 - 270 - 265 25 - 28 - 168 - 163- A 33 - 34 - 204 - 193
- B 28 - 39 - 156 - 153
- C 20 - 23 - 138 - 133
- D 12 - 23 - 46 - 37
Correct answer: C
-
64 Question 64
General AwarenessThe Directive Principles of State Policy in the Indian Constitution ____________.
- A Cannot be questioned in courts
- B Override Fundamental Rights in courts
- C Are enforceable by courts
- D Are not enforceable by any court
Correct answer: D
-
65 Question 65
General AwarenessWhich organisation hosted the National Agro-RE Summit 2025?
- A Indian Renewable Energy Development Agency
- B National Solar Energy Federation of India
- C NITI Aayog
- D Ministry of Power
Correct answer: B
-
66 Question 66
General AwarenessDuring a sale, 55% of the goods are sold at a 41% profit, 20% of the remaining goods are sold at a 19% profit and the rest are sold at a 21% loss. If there is an overall profit of x%, then what is the value of x?
- A 15%
- B 10.5%
- C 12%
- D 16.7%
Correct answer: D
-
67 Question 67
General AwarenessA student's marks were incorrectly entered as 34 instead of 70. Due to this, the average marks of the class got decreased by 4/3. What is the number of students in the class?
- A 23
- B 27
- C 28
- D 32
Correct answer: B
-
68 Question 68
General ScienceIf the frequency of a sound wave increases and the speed remains constant, its wavelength will:
- A increase
- B become zero
- C remain the same
- D decrease
Correct answer: D
-
69 Question 69
General ScienceWhich type of cell has very small vacuoles?
- A Plant cell
- B Bacterial cell
- C Fungal cell
- D Animal cell
Correct answer: D
-
70 Question 70
General ScienceThe colour of scattered light depends on the size of the scattering particles. Very fine particles scatter mainly which colour of light?
- A Blue light
- B Red light
- C Green light
- D Yellow light
Correct answer: A
-
71 Question 71
General ScienceWhat is the product when ethanol reacts with sodium?
- A Sodium ethoxide and hydrogen gas evolve during the reaction with ethanol.
- B Sodium hydroxide and oxygen gas evolve during the reaction with ethanol.
- C Sodium oxide and water evolve during the reaction with ethanol only.
- D Sodium carbonate and hydrogen gas evolve during the reaction with ethanol.
Correct answer: A
-
72 Question 72
General ScienceWhen an object is placed at infinity in front of a convex lens, the image formed is:
- A Real, inverted, and at the focus
- B Real, erect, and at 2F
- C Virtual, erect, and at infinity
- D Virtual, inverted, and at the focus
Correct answer: A
-
73 Question 73
General ScienceWhich of the following option is INCORRECT about plasma membrane?
- A It is outermost covering of the cell
- B Plasma membrane is made up of lipid and protein
- C It is selectively permeable
- D It is rigid in nature
Correct answer: D
-
74 Question 74
General ScienceSubstances degraded easily by the biological processes are called as ________.
- A Soft material
- B Biodegradable
- C Hard material
- D Non-biodegradable
Correct answer: B
-
75 Question 75
General ScienceWhen a drop of ink is placed in water, it spreads evenly without stirring. What does this demonstrate?
- A Particles are at rest
- B Particles are heavy and settle down
- C Particles of matter are constantly moving
- D Water reacts with ink
Correct answer: C