RRB NTPC CBT 1 2026 General Intelligence & Reasoning Questions with Solutions

Explanation

The pattern in the given series is based on subtracting consecutive prime numbers from each term:

89 - 2 = 87 87 - 3 = 84 84 - 5 = 79 79 - 7 = 72

The prime numbers subtracted in order are 2, 3, 5, and 7. The next prime number in this sequence is 11. Subtracting 11 from 72 gives 72 - 11 = 61.

Explanation

When seven people sit facing the centre of a circular table, clockwise movement represents the left direction and anti-clockwise movement represents the right direction.

Assigning positions 1 to 7 in clockwise order: Place U at position 1. Counting from the right of U (anti-clockwise), only one person sits between U and P, placing P at position 6. One person sits between P and R, placing R at position 4. One person sits between U and Q, placing Q at position 3. Two people sit between V and R, placing V at position 7. One person sits between T and Q, placing T at position 5. The remaining position 2 is occupied by S.

The clockwise order of sitting is U, S, Q, R, T, P, V.

Counting from the left of T (clockwise direction from position 5 to position 7), the path is T → P → V. Thus, exactly 1 person (P) sits between T and V.

Explanation

The pattern follows a constant addition of 4 across all elements:

First letter advances by 4 positions: V (+4) → Z (+4) → D (+4) → H (+4) → L Second letter advances by 4 positions: P (+4) → T (+4) → X (+4) → B (+4) → F Third letter advances by 4 positions: G (+4) → K (+4) → O (+4) → S (+4) → W Number increases by 4: 7 (+4) → 11 (+4) → 15 (+4) → 19 (+4) → 23

Combining these gives LFW 23.

Explanation

The pattern follows a positional shift of +1, +2, +2, +1 for each letter in the English alphabetical order.

Applying this logic to EGDH: E (+1) = F G (+2) = I D (+2) = F H (+1) = I

Applying the same logic to JMHL: J (+1) = K M (+2) = O H (+2) = J L (+1) = M

Applying the pattern to NPRS: N (+1) = O P (+2) = R R (+2) = T S (+1) = T

Explanation

The days from Monday to Sunday are numbered 1 to 7.

Since five people have exams between V and T, they must be on Monday and Sunday. S has an exam after T, so T is on Monday (1) and V is on Sunday (7).

With T on Monday (1), two people are between R and T, placing R on Thursday (4).

Q has an exam immediately after R, putting Q on Friday (5).

S is immediately before P and after T, which places S on Tuesday (2) and P on Wednesday (3).

The remaining day, Saturday (6), is assigned to U.

The complete schedule from Monday to Sunday is T (Monday), S (Tuesday), P (Wednesday), R (Thursday), Q (Friday), U (Saturday), and V (Sunday).

Between P (Wednesday) and U (Saturday), exactly two people (R and Q) have exams.

Explanation

To find a number that is immediately preceded by a symbol and immediately followed by a symbol, we look for the pattern: [Symbol] [Number] [Symbol].

Examining the given series from left to right: 8 is preceded by symbol ③ but followed by number 5. 8 before # is preceded by number 2. 1 after ③ is preceded by symbol ③ but followed by number 3. All other single-digit numbers in the series (5, 1, 1, 6, 1, 5, 7, 2, 3) are adjacent to numbers on at least one side.

Since no single digit fulfills the required condition of having a symbol both immediately before and immediately after it, the total count of such numbers is 0.

Explanation

The series follows two distinct patterns for the letters and the numbers:

For the letters, each corresponding position decreases by 8 positions in the alphabetical cycle: First letters: F (-8) → X (-8) → P (-8) → H (-8) → Z Second letters: Z (-8) → R (-8) → J (-8) → B (-8) → T Third letters: N (-8) → F (-8) → X (-8) → P (-8) → H

For the numbers, consecutive differences increase by 1 (+2, +3, +4, +5): 4 (+2) → 6 (+3) → 9 (+4) → 13 (+5) → 18

Combining the results gives ZTH 18.

Explanation

Taking Point A as the origin (0, 0): 25 km South: (0, -25) Left turn (East) 17 km: (17, -25) Left turn (North) 28 km: (17, 3) Left turn (West) 20 km: (-3, 3) Left turn (South) 3 km: (-3, 0), which is Point P.

Point P is located at (-3, 0), which is 3 km to the west of Point A. To return to Point A (0, 0) from Point P, he must drive 3 km to the east.

Explanation

Comparing the words 'BELI' (coded as 6315) and 'EVIL' (coded as 9653), the common letters are E, L, and I, and the common digits are 6, 3, and 5.

Eliminating these common letters and digits leaves the letter 'V' in 'EVIL' and the digit '9' in '9653'. Therefore, the code for 'V' is 9.

Explanation

The logic follows a positional shift of +4, +4, -4, -4 on the alphabetical positions of the letters.

Applying this pattern to the reference pairs: V (22) + 4 = Z (26) A (1) + 4 = E (5) S (19) - 4 = O (15) E (5) - 4 = A (1)

D (4) + 4 = H (8) I (9) + 4 = M (13) K (11) - 4 = G (7) W (23) - 4 = S (19)

Applying the same rule to LQCO: L (12) + 4 = P (16) Q (17) + 4 = U (21) C (3) - 4 = Y (25) O (15) - 4 = K (11)

Explanation

The common rule for the letter clusters is subtracting 4 alphabetical positions to arrive at the second letter and 5 positions to arrive at the third letter. In DZV, D (4) minus 4 gives Z (26), and Z (26) minus 4 gives V (22). Since the position differences for DZV are -4 and -4 rather than -4 and -5, it deviates from the group pattern.

Explanation

All three given statements are particular affirmative propositions, which only establish partial overlapping relationships among canals, rivers, oceans, and ponds. A universal affirmative conclusion ("All") cannot be logically deduced from a set of particular affirmative statements. Furthermore, there is no direct relationship specified between ponds and rivers, or between oceans and canals.

Explanation

Arranging seven positions 1 to 7 in clockwise order around the table facing the centre, moving clockwise represents the left direction and moving counter-clockwise represents the right direction.

Placing W at position 1, I sits second to the right of W at position 6. Since I is third to the left of F, F is at position 3. G is an immediate neighbour of both W and F, placing G at position 2.

To satisfy V sitting third to the left of X among the vacant positions (4, 5, and 7), X must be at position 4 and V at position 7. The remaining position 5 is occupied by H.

The clockwise order from position 1 is W, G, F, X, H, I, V. Counting clockwise (to the left) from H at position 5 to G at position 2, the people sitting between them are I, V, and W, giving a total of three people.

Explanation

The pattern followed across the numbers in each set is: First number × 3 = Second number Second number + 10 = Third number Third number × 2 = Fourth number

Applying this same sequence of operations: 11 × 3 = 33 33 + 10 = 43 43 × 2 = 86

Explanation

The given set of numbers is 458, 652, 748, 351, and 591.

The highest number is 748, whose third digit is 8. The lowest number is 351, whose third digit is 1.

Multiplying the third digit of the highest number by the third digit of the lowest number gives 8 × 1 = 8.

Explanation

The letter 'A' is the only common letter between the words 'CARD' and 'NEAT'. Similarly, '4' is the only common digit between their respective codes '4628' and '3574'. By set intersection, the code for 'A' is 4.

Explanation

Decoding the given expression step by step: N # B means N is the sister of B. D % N means D is the father of N, making D the father of B as well. R @ D means R is the son of D, which means R is the brother of B. E + R means E is the wife of R.

Since R is the brother of B and E is married to R, E is the brother's wife of B.

Explanation

The building has six floors numbered 1 to 6 from bottom to top.

Since only five people live above D, D lives on floor 1. Since only two people live above A, A lives on floor 4. C lives above A (floor 4) but below F, placing C on floor 5 and F on floor 6. The remaining floors are 2 and 3. Since B does not live on an even-numbered floor, B lives on floor 3 and E lives on floor 2.

The floor arrangement from top to bottom is F (6), C (5), A (4), B (3), E (2), and D (1). Since C lives on floor 5, exactly four people live on the floors below C.

Explanation

The pattern followed by the numbers in the set (A, B, C) is B = 2A + 3C.

For (20, 46, 2): 2 × 20 + 3 × 2 = 40 + 6 = 46 For (32, 136, 24): 2 × 32 + 3 × 24 = 64 + 72 = 136

Applying the same pattern to (6, 42, 10): 2 × 6 + 3 × 10 = 12 + 30 = 42

Explanation

From "All bananas are apples" and "All apples are grapes", it logically follows that all bananas are grapes. The conversion of a universal affirmative statement yields a particular affirmative statement, meaning only "Some grapes are bananas" is guaranteed, so conclusion (I) does not follow.

The statement "Some grapes are oranges" only indicates a partial overlap between the sets of grapes and oranges, providing no definitive relationship between oranges and apples, so conclusion (II) does not follow.

Explanation

The original sequence of numbers from left to right is 318, 745, 472, 123, and 672.

When these numbers are arranged in ascending order, the sequence becomes 123, 318, 472, 672, and 745.

Comparing the original positions with the new positions: 1st position: 318 becomes 123 2nd position: 745 becomes 318 3rd position: 472 remains 472 4th position: 123 becomes 672 5th position: 672 becomes 745

Only the number 472 remains in the 3rd position, so the position of 1 number remains unchanged.

Explanation

Replacing the letter symbols with their corresponding mathematical operators gives the expression:

20 − 8 ÷ 2 + 1 × 5

Applying the standard order of operations (BODMAS/PEMDAS):

First, perform division and multiplication: 8 ÷ 2 = 4 1 × 5 = 5

Substituting these back into the expression gives: 20 − 4 + 5

Next, perform addition and subtraction from left to right: 20 − 4 = 16 16 + 5 = 21

Explanation

Floor 3 is occupied by C because exactly two people live below C. Since two people live between B and C, B must be on floor 6. Below C are floors 1 and 2; since A lives above E, A is on floor 2 and E is on floor 1. The remaining vacant floors are 4 and 5 for D and F. As F does not live above D, D is on floor 5 and F is on floor 4. Therefore, D lives on floor 5, which is immediately below B on floor 6.

Explanation

The pattern followed in the given sets is: Third number = First number + Second number + 5

For (6,3,14): 6 + 3 + 5 = 14

For (14,8,27): 14 + 8 + 5 = 27

Applying the same rule: 19 + 12 + 5 = 36

Explanation

The pattern followed in both letter-cluster pairs is shifting each letter backward by 3 positions in the alphabetical order (-3, -3, -3).

For the first pair, substituting # = LJF gives: L (-3) = I J (-3) = G F (-3) = C

For the second pair, substituting % = QOK gives: T (-3) = Q R (-3) = O N (-3) = K

Both pairs maintain the exact same positional relationship.

Explanation

The standard pattern for the letter clusters in this group involves adding 2 to the alphabetical position of the first letter to get the second letter, and subtracting 5 from the second letter to get the third letter (+2, -5). In KMG, K (11) + 2 = M (13), but M (13) - 6 = G (7), which has a backward shift of 6 positions instead of 5.

Explanation

Original number: 15762349 Digits arranged in ascending order: 12345679

Comparing the digits position by position: Position 1: 1 in original, 1 in arranged (Unchanged) Position 2: 5 in original, 2 in arranged Position 3: 7 in original, 3 in arranged Position 4: 6 in original, 4 in arranged Position 5: 2 in original, 5 in arranged Position 6: 3 in original, 6 in arranged Position 7: 4 in original, 7 in arranged Position 8: 9 in original, 9 in arranged (Unchanged)

The digits 1 and 9 remain in the exact same positions (1st and 8th) as in the original number, giving a total of 2 unchanged positions.

Explanation

Statement I gives the partial ordering Nisha > Meenal > Isha. Statement II gives the partial ordering Nisha > Priti > Meenal. Combining both statements yields the relative order Nisha > Priti > Meenal > Isha for four of the students.

However, no information is provided regarding Kavita's marks relative to the others. Depending on her score, Kavita could be placed anywhere in the sequence — for example, above Nisha (making Nisha second highest) or between Nisha and Priti (making Kavita second highest). Because her position cannot be determined, both statements together are not sufficient to identify who scored the second highest marks.

Explanation

The difference between consecutive terms decreases by 4 at each step:

52 - 32 = 20 68 - 52 = 16 80 - 68 = 12 88 - 80 = 8

Following this pattern, the next difference is 8 - 4 = 4.

Missing term = 88 + 4 = 92.

Explanation

In the number 6134527: The first digit is 6 (even), so adding 2 gives 6 + 2 = 8. The last digit is 7 (odd), so adding 1 gives 7 + 1 = 8.

Sum of the first and last digits of the new number = 8 + 8 = 16.

Explanation

In the standard pattern formed by the group, the second letter is 4 positions ahead of the first letter (+4 in alphabetical order) and the third letter is 1 position behind the first letter (-1 in alphabetical order). For TYS, the first letter T (20) moves 5 positions ahead to Y (25) and 1 position back to S (19), following a (+5, -1) pattern instead of (+4, -1).

Explanation

Comparing the words 'ROAD' and 'DEAR', the common letters are R, A, and D.

Comparing their respective codes '8657' and '4567', the common digits are 5, 6, and 7. Thus, the letters R, A, and D correspond to the digits 5, 6, and 7 in some order.

In the word 'DEAR' (coded as 4567), the letter 'E' is the only remaining letter, which corresponds to the remaining digit 4.

Explanation

Comparing the words REST and SEAT, the common letters are E, S, and T. Comparing their respective numerical codes 5729 and 7625, the common digits are 5, 7, and 2. This implies that the set of letters {E, S, T} corresponds to the set of digits {2, 5, 7} in some order.

In the word SEAT (coded as 7625), the letter A is the only remaining letter apart from E, S, and T, and 6 is the only remaining digit apart from 2, 5, and 7. Thus, the code for A is 6.

Explanation

The pattern followed by the given sets (A, B, C) is: C = 4 × A - B

For the first set (19, 21, 55): 4 × 19 - 21 = 76 - 21 = 55

For the second set (8, 9, 23): 4 × 8 - 9 = 32 - 9 = 23

Applying the same relation to (22, 21, 67): 4 × 22 - 21 = 88 - 21 = 67

Explanation

From Statement I, Usha > Tanya > (Ritu, Seema), which leaves the position of Varsha relative to Usha unknown. From Statement II, Usha > Varsha > Tanya, which leaves the positions of Ritu and Seema relative to Usha unknown.

Combining both statements establishes the order as Usha > Varsha > Tanya > (Ritu, Seema). This uniquely identifies Usha as having scored the highest marks among all five persons, making both statements together necessary and sufficient.

Explanation

In the standard pattern of this group, the two letters within each cluster are separated by a difference of 2 positions (+2 in alphabetical order), and the shift from the first cluster to the second cluster advances each letter by 3 positions (+3). In LM - NP, the letters L and M have a difference of only 1 position (+1), and L shifts to N by only 2 positions (+2), making it the odd pair.

Explanation

Arranging seven people around a circular table facing the centre, clockwise movement represents the left direction and counter-clockwise movement represents the right direction.

Assigning positions 1 to 7 in clockwise order: Position 1 is occupied by N. Since two people sit between N and R counted to the left (clockwise) of N, R is at position 4. P sits second to the left (clockwise) of R, placing P at position 6. P is to the immediate right (counter-clockwise) of Q, placing Q at position 7. L sits third to the left (clockwise) of Q, placing L at position 3. Since M is not an immediate neighbour of L, M cannot be at position 2, placing M at position 5 and K at position 2.

The complete clockwise arrangement of people from position 1 to 7 is N, K, L, R, M, P, Q. Counting three places to the right (counter-clockwise) from K at position 2 leads to N (1st right), Q (2nd right), and P (3rd right) at position 6.

Explanation

Arranging the digits of 749216358 in descending order from left to right yields 987654321.

The digit second from the left is 8, and the digit third from the right is 3.

Product = 8 × 3 = 24.

Explanation

Since only Z lives above U, Z is on floor 6 and U is on floor 5. T lives immediately below U, which places T on floor 4. Additionally, since only Y lives below S, S is on floor 2 and Y is on floor 1, leaving X on floor 3.

Explanation

The mathematical pattern followed across the numbers in each set is: First number ÷ 2 = Second number Second number + 10 = Third number Third number ÷ 2 = Fourth number

Applying this operation pattern: 80 ÷ 2 = 40 40 + 10 = 50 50 ÷ 2 = 25

Explanation

To find the letters that are both preceded and followed by a symbol, we search for the sequence pattern: Symbol - Letter - Symbol.

Scanning the given series from left to right: In = N , the letter N is preceded by the symbol = and followed by the symbol . In R , the letter R is preceded by the symbol and followed by the symbol .

There are two such letters (N and R) in the given sequence.

Explanation

The difference between consecutive terms increases by 4 each step:

38 - 34 = 4 46 - 38 = 8 58 - 46 = 12 74 - 58 = 16

Following this pattern, the next difference is 16 + 4 = 20. The missing term is 74 + 20 = 94.

Explanation

Statement 2 asserts that "Some tables are boards". By immediate logical conversion of a particular affirmative statement, "Some boards are tables" validly holds, making conclusion (I) logically follow.

For conclusion (II), while all chairs are tables and no chair is a desk, this only implies that the subset of tables that are chairs cannot be desks (meaning "Some tables are not desks"). The remaining tables could still be desks, so "No table is a desk" does not logically follow.

Explanation

Arranging the schedule from Monday to Sunday:

Since R has the exam on Thursday (4th day) and two people have exams between F and R, F takes the exam on Monday (1st day).

Four people have exams between S and F, placing S on Saturday (6th day).

E has the exam immediately before O, filling the consecutive vacant days of Tuesday (2nd day) for E and Wednesday (3rd day) for O.

The remaining vacant days are Friday (5th day) and Sunday (7th day). Since L has the exam on a day after W, W takes the exam on Friday and L on Sunday.

Explanation

S and R are a married couple. Since S is the father of Q, S is the father and R is the mother of Q. K is Q's sister, which means K is a female child of the couple S and R. Therefore, K is the daughter of R.

Explanation

The pattern follows a simple direct multiplication where each number is multiplied by 4 to obtain the related number:

17 × 4 = 68 24 × 4 = 96

Applying the same operation: 21 × 4 = 84

Explanation

The pattern in the series involves subtracting the squares of consecutive decreasing integers starting from 5:

95 - 5² = 70 70 - 4² = 54 54 - 3² = 45 45 - 2² = 41 41 - 1² = 40

Explanation

Statement I gives the age relation Lokesh > Ishan > Gaurav. Statement II gives the age relation Lokesh > Mukul > Ishan. Combining both statements yields the order Lokesh > Mukul > Ishan > Gaurav. However, neither statement provides any information regarding Himanshu's age. Depending on where Himanshu fits into the sequence, the third oldest person could be Mukul, Ishan, or Himanshu. Since Himanshu's position cannot be determined, both statements together are insufficient.

Explanation

The underlying pattern shifts the alphabetical positions of the three letters by -2, +5, and -2 respectively:

In UND : SSB U (21) - 2 = S (19) N (14) + 5 = S (19) D (4) - 2 = B (2)

In QXZ : OCX Q (17) - 2 = O (15) X (24) + 5 = C (3) Z (26) - 2 = X (24)

Applying this same rule to MHV gives: M (13) - 2 = K (11) H (8) + 5 = M (13) V (22) - 2 = T (20)

Explanation

Arranging the seven people around the circular table facing the center in clockwise order:

Placing P at position 1, since P sits to the immediate right of O, O is at position 2.

Counting two people to the left (clockwise) of P puts R at position 4, with O (position 2) and position 3 between them.

Since three people sit between C and O when counting left from C, C is placed at position 5, with positions 6, 7, and 1 between C and O.

B sits to the immediate right of Q, which places Q at position 7 and B at position 6.

The only remaining empty seat, position 3, is occupied by D.

Counting four places to the left (clockwise) from D at position 3: 1st left is R (position 4), 2nd left is C (position 5), 3rd left is B (position 6), and 4th left is Q (position 7).