RRB NTPC CBT 1 2021 General Intelligence & Reasoning Questions with Solutions

Explanation

The pattern in the series alternates between squaring the current number and adding the base number that was just squared:

1² = 1 1 + 1 = 2 2² = 4 4 + 2 = 6 6² = 36 36 + 6 = 42 42² = 1764

Explanation

Adding the units place digits gives 6 + 7 + 8 = 21, which leaves 1 in the units column and carries over 2 to the tens column.

In the hundreds column, the sum of the given digits is 5 + 6 + 3 = 14. Since the final sum is 1511, the hundreds place value is 15, which means the carry-over from the tens column to the hundreds column must be 1.

Thus, the total sum of the tens column must equal 11: 2 + Y + X + Z = 11 Y + X + Z = 9

To find the highest possible value of X, set Y and Z to their minimum non-negative single-digit value of 0: 0 + X + 0 = 9 X = 9

Explanation

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

First and last letters move sequentially forward in the alphabet for each term: A-B, B-C, C-D, D-E, and next is E-F.

Central numbers are powers of consecutive odd numbers starting from 3, alternating between square (²) and cube (³): 3² = 9 5³ = 125 7² = 49 9³ = 729 11² = 121

Combining these patterns gives E121F.

Explanation

The code for a word is the sum of the positional values of its constituent letters in the English alphabet (A = 1, B = 2, ..., Z = 26).

For SCHOOL: S(19) + C(3) + H(8) + O(15) + O(15) + L(12) = 72

Applying the same pattern to FLOWER: F(6) + L(12) + O(15) + W(23) + E(5) + R(18) = 79

Explanation

The terms in the series are formed by appending a calculated number to the preceding term:

For 1, multiply 1 by 2 to get 2, yielding 12. For 12, multiply the last digit 2 by 2 to get 4, yielding 124. For 124, multiply the last digit 4 by 2 to get 8, yielding 1248. For 1248, multiply the first two digits (12) by the last digit (8) to get 12 × 8 = 96, yielding 12496. For 12496, multiply the first two digits (12) by the last digit (6) to get 12 × 6 = 72, yielding 124972.

Explanation

West Coast Railway is the odd one out because it is not an official administrative zone of Indian Railways. Indian Railways is divided into recognized operational zones for administrative efficiency, and West Coast Railway is not one of them.

Explanation

The day of the week repeats every 7 days. To find the day after 64 days, divide 64 by 7 to find the remainder (odd days):

64 = (7 × 9) + 1

Since the remainder is 1, adding 1 day to Tuesday gives Wednesday.

Explanation

Since all cats are rats, the set of cats is fully contained within the set of rats. In classical syllogistic logic, a universal affirmative statement ("All cats are rats") logically implies its converse in particular form ("Some rats are cats"), making conclusion 1 valid. On the other hand, combining both statements gives "All goats are rats", but its universal converse "All rats are goats" does not logically follow as the set of rats can be larger than the set of goats.

Explanation

15 August is celebrated in India as Independence Day to mark the nation achieving freedom from British rule in 1947. Similarly, 26 January is celebrated as Republic Day to commemorate the date on which the Constitution of India came into effect in 1950, officially making India a sovereign republic.

Explanation

Comparing the words letter by letter:

Possess starts with P-O, which comes first alphabetically.

Between Process and Propose, both begin with P-R-O, but the fourth letter C in Process precedes P in Propose.

Purpose starts with P-U, placing it last as U comes after R.

Explanation

The dates 15-08 (Independence Day), 02-10 (Gandhi Jayanti), and 26-01 (Republic Day) represent the three mandatory national holidays in India. Sunday belongs to this same class as it is the standard weekly holiday.

Explanation

Combining the two universal affirmative statements (All boys are chefs and All chefs are villagers) directly yields "All boys are villagers", making conclusion 1 logically valid. A statement of the form "All A are B" cannot be converted directly to "All B are A", so "All boys are chefs" does not imply "All chefs are boys", making conclusion 2 invalid.

Explanation

The given series follows the pattern n(n + 1) for consecutive natural numbers starting from n = 1:

1 × 2 = 2 2 × 3 = 6 3 × 4 = 12 4 × 5 = 20 5 × 6 = 30

Alternatively, the differences between consecutive terms form an arithmetic progression of even numbers starting from 4 (+4, +6, +8, +10). Adding 10 to 20 yields 30.

Explanation

The series follows an alternating pattern of squares and cubes of consecutive integers starting from 2:

2² = 4 3³ = 27 4² = 16 5³ = 125

Following this sequence, the next term is 6² = 36.

Explanation

The pattern followed in the series multiplies the previous term by 2 and adds consecutive even numbers starting from 2:

17 × 2 + 2 = 36 36 × 2 + 4 = 76 76 × 2 + 6 = 158 158 × 2 + 8 = 324

Explanation

An ordinary year has 365 days, which equals 52 weeks and 1 odd day.

From 4th March 2018 to 4th March 2019 is a period of one ordinary year, contributing 1 odd day. Since 4th March 2018 is taken as Wednesday, 4th March 2019 will be Wednesday + 1 day = Thursday.

Adding 3 days to move from 4th March to 7th March 2019: Thursday + 3 days = Sunday.

Explanation

The statement "Some tyres are not bikes but trucks" establishes that there exists a subset of tyres that belong to trucks and explicitly do not belong to bikes. Along with "Some trucks are bikes", these premises provide no information guaranteeing an intersection between the set of bikes and the set of tyres. Since the sets of bikes and tyres can be completely disjoint while satisfying both given statements, the assumption that some bikes are tyres cannot be implicitly derived.

Explanation

The positions of both letters in the English alphabet decrease by 2 at each step.

For the first letter: M (13) - 2 = K (11), K (11) - 2 = I (9), I (9) - 2 = G (7), and G (7) - 2 = E (5).

For the second letter: U (21) - 2 = S (19), S (19) - 2 = Q (17), Q (17) - 2 = O (15), and O (15) - 2 = M (13).

Combining both letters gives EM.

Explanation

A concert is a performance or venue where music is presented live to an audience. Similarly, a theatre is a performance or venue where acting is presented live to an audience.

Explanation

Cat is an obligate carnivore whose physiological and metabolic systems require a diet consisting strictly of animal meat to fulfill essential nutritional needs such as taurine and preformed vitamin A. Unlike the other animals in the list, which are plant-eating herbivores, the cat cannot survive on a vegetation-based diet.

Explanation

Each letter of the word is shifted forward by 13 positions in the alphabetical series, wrapping around after Z.

For HUNGER, shifting each letter by +13 gives: H (8) + 13 = 21 (U) U (21) + 13 = 8 (H) N (14) + 13 = 1 (A) G (7) + 13 = 20 (T) E (5) + 13 = 18 (R) R (18) + 13 = 5 (E)

Applying the same +13 shift to SWIMMING gives: S (19) + 13 = 6 (F) W (23) + 13 = 10 (J) I (9) + 13 = 22 (V) M (13) + 13 = 26 (Z) M (13) + 13 = 26 (Z) I (9) + 13 = 22 (V) N (14) + 13 = 1 (A) G (7) + 13 = 20 (T)

This yields FJVZZVAT.

Explanation

Compulsory enrollment under the Right to Education (RTE) Act is meant to ensure that every child aged 6 to 14 years has universal access to basic education, overcoming social and financial barriers. Assumption I is invalid because making enrollment compulsory does not imply that children inherently dislike education. Assumption II is also invalid because mere enrollment in school does not guarantee that every child in the country receives quality education. Consequently, neither assumption is implicit in the given statement.

Explanation

Arranging the eight friends around the circular table facing the centre:

Placing F7 at position 1, F2 is second to its left (clockwise) at position 3. Since F6 is the only person between F2 and F5, F6 is at position 4 and F5 is at position 5. F4 is second to the right of F3 (counter-clockwise), which places F3 at position 2 and F4 at position 8. F2 is at position 3 and cannot be adjacent to F1 or F8, leaving positions 6 and 7 for F1 and F8. If F1 is at position 7, moving three steps clockwise from F6 (position 4) leads to position 7, which means F1 is third to the left of F6.

Explanation

Each letter in the first letter-cluster ACEG is shifted forward by 15 positions in the alphabetical order to obtain the second cluster PRTV:

A (1) + 15 = P (16) C (3) + 15 = R (18) E (5) + 15 = T (20) G (7) + 15 = V (22)

Applying the same pattern of adding 15 (wrapping around after 26) to the third cluster SUWY:

S (19) + 15 = 34 − 26 = 8 (H) U (21) + 15 = 36 − 26 = 10 (J) W (23) + 15 = 38 − 26 = 12 (L) Y (25) + 15 = 40 − 26 = 14 (N)

Explanation

Argument I is strong because public health concerns, specifically life-threatening diseases like cancer, present a compelling reason supporting a ban on tobacco. Argument II is also strong because the tobacco industry in India employs millions of farmers, leaf pluckers, manufacturing workers, and retailers, so a complete ban would cause severe socio-economic disruption and unemployment. Since both arguments highlight valid, logical, and practical consequences related to health and the economy, both are strong.

Explanation

Numbering the seven positions from 1 at the top to 7 at the bottom:

Since M is placed above L, neither is at the top or bottom, and three boxes lie between them, M is at position 2 and L is at position 6.

Given that two boxes are placed between L and N, N must be at position 3.

S is placed immediately below R. Since positions 1, 4, 5, and 7 remain open, placing R at position 4 and S at position 5 satisfies this condition. With one box between S and Q, Q is placed at position 7.

The only remaining box, P, takes position 1 at the top.

The final arrangement from top to bottom is P, M, N, R, S, L, Q. Therefore, exactly one box (M) is placed between P and N.

Explanation

The man's paternal grandfather's only son is the man's father. The sister of the man's father is the man's paternal aunt. Therefore, the girl in the photograph (the only child of that sister) is the man's cousin.

To determine how the man is related to the girl in the photograph, consider the girl's point of view: the man's father is her mother's brother (her maternal uncle). Consequently, the man is her Mother's Brother's Son.

Explanation

Karachi is a major port city and financial hub of Pakistan, but it is not a national capital, as the capital of Pakistan is Islamabad. It is the only city in the group that is not the capital city of its country.

Explanation

The letter 'B' represents the addition operation (+).

24 + 6 + 12 = 42 31 + 7 + 13 = 51

Applying the same pattern: 64 + 9 + 4 = 77

Explanation

The code for each word is calculated by taking the sum of the alphabetical positions of its constituent letters (where A = 1, B = 2, ..., Z = 26) and subtracting 4, which is the total number of letters in the word.

For QZDH: Q(17) + Z(26) + D(4) + H(8) = 55 55 - 4 = 51

For PLMQ: P(16) + L(12) + M(13) + Q(17) = 58 58 - 4 = 54

Applying the same logic to DNRB: D(4) + N(14) + R(18) + B(2) = 38 38 - 4 = 34

Explanation

The positional values of the letters in ACE are A = 1, C = 3, and E = 5. Squaring each of these positional values gives 1² = 1, 3² = 9, and 5² = 25. Concatenating these squared values yields 1925.

Applying the same rule to BDF, the positional values are B = 2, D = 4, and F = 6. Squaring each value gives 2² = 4, 4² = 16, and 6² = 36. Concatenating these values yields 41636.

Explanation

Each letter in the word is replaced by its positional rank in the English alphabet (A = 1, B = 2, ..., Z = 26), written in reverse order from the last letter to the first.

For CHILD, reading from last letter to first: D = 4, L = 12, I = 9, H = 8, C = 3, which concatenates to 412983.

Applying the same pattern to ADULT from last letter to first: T = 20, L = 12, U = 21, D = 4, A = 1, which concatenates to 20122141.

Explanation

D is the paternal grandfather of F, which means F's father is a son of D. Since A is the only son of D, A is the father of F. As C is the sister of F, C is also a child of A. Additionally, A is the father of B. Therefore, A has three children in total: B, C, and F.

Explanation

The given series is divided into groups of three numbers (a, b, c):

Group 1: (2, 4, 3) Group 2: (3, 9, 6) Group 3: (4, 16, ?) Group 4: (5, 25, 15)

In each triplet, the pattern followed is: b = a² c = a × (a + 1) / 2

For Group 3, where a = 4: b = 4² = 16 c = 4 × 5 / 2 = 10

Explanation

In each given pair (x, y), the second number follows the relation y = x² / 2.

Applying this rule: 4² / 2 = 8 6² / 2 = 18 8² / 2 = 32 10² / 2 = 50

For the pair 3-6, substituting x = 3 yields 3² / 2 = 4.5, which does not equal 6. Thus, 3-6 does not follow the pattern and is the odd one out.

Explanation

A radio is an electronic communication medium whose output is perceived primarily as sound. Similarly, a television is a visual medium whose primary output is perceived as images.

Explanation

A pillow is a soft comfort accessory placed on a bed to provide support while resting. Similarly, a cushion is a soft comfort accessory placed on a sofa to provide support while sitting.

Explanation

The given series consists of consecutive prime numbers starting from 2: 2, 3, 5, 7, 11, 13, 17, ...

The next two prime numbers in this sequence after 17 are 19 and 23.

Explanation

A ship is a primary heavy combat vehicle operated by the Navy. Analogously, a tank is a primary heavy armored combat vehicle operated by the Army. Both represent the core mobile heavy combat units of their respective armed forces branches.

Explanation

The pattern in each component of the term is as follows:

First letter: The alphabetical positions follow the squares of natural numbers 1², 2², 3², 4², corresponding to A (1), D (4), I (9), and P (16). The next letter position is 5² = 25, which corresponds to Y.

Middle number: The numbers are squares of consecutive integers starting from 2: 2² = 4, 3² = 9, 4² = 16, 5² = 25. The next number is 6² = 36.

Third letter: The alphabetical positions increase by adding consecutive even numbers: C (3) + 4 = G (7), G (7) + 6 = M (13), M (13) + 8 = U (21). The next position is 21 + 10 = 31, which corresponds to the 5th letter of the alphabet after wrapping around 26 letters (31 - 26 = 5), giving E.

Combining these yields Y36E.

Explanation

Rahul's mother-in-law is the mother of his wife. The daughter of Rahul's mother-in-law is Rahul's wife. Therefore, Rashi is Rahul's wife.

Explanation

The given series is divided into groups of three numbers based on the pattern n¹, n², and n³ for consecutive positive integers n:

For n = 1: 1¹, 1², 1³ → 1, 1, 1 For n = 2: 2¹, 2², 2³ → 2, 4, 8 For n = 3: 3¹, 3², 3³ → 3, 9, 27 For n = 4: 4¹, 4², 4³ → 4, 16, 64

The term following 16 is 4³ = 64.

Explanation

The second number is obtained by multiplying the first number by 2: 89 × 2 = 178

Applying the same rule to the third number: 90 × 2 = 180

Explanation

Substituting each letter in 'PLDXMZ' with its given numerical code:

P = 9 L = 3 D = 2 X = 7 M = 5 Z = 6

Replacing the letters in order gives 932756.

Explanation

Assumption 1 makes an extreme generalisation that no citizen can be good without constitutional obligations, which goes far beyond what the statement implies. Assumption 2 claims that incorporating fundamental duties in the Constitution is the only way to ensure compliance, using an extreme condition (the "only way") that cannot be logically derived from the given statement. In logical reasoning, assumptions containing extreme words like "no" or "only" are not implicit unless strictly supported by the statement. Therefore, neither assumption is implicit.

Explanation

The sequence increases by adding consecutive powers of 2 to each term: 5 + 2¹ = 7 7 + 2² = 11 11 + 2³ = 19 19 + 2⁴ = 35 35 + 2⁵ = 67

The differences between successive terms double at each step (2, 4, 8, 16, 32). Adding 8 to 11 gives 19.

Explanation

Each term on the right is determined by taking the sum of the digits of the number on the left, squaring it, and adding 1:

190: (1 + 9 + 0)² + 1 = 10² + 1 = 101 191: (1 + 9 + 1)² + 1 = 11² + 1 = 122 192: (1 + 9 + 2)² + 1 = 12² + 1 = 145 193: (1 + 9 + 3)² + 1 = 13² + 1 = 170

For 194: (1 + 9 + 4)² + 1 = 14² + 1 = 196 + 1 = 197

Explanation

The pattern follows alternating addition and subtraction of 1 in the alphabetical positions for each letter in the cluster:

First letter increases by 1: D → E → F → G Second letter decreases by 1: P → O → N → M Third letter increases by 1: A → B → C → D Fourth letter decreases by 1: Y → X → W → V

Combining these results gives GMDV.

Explanation

Dividing the 16-letter sequence into 4 equal groups of 4 letters each reveals a repeating pattern of pqpp:

Group 1: p q (p) p Group 2: p q (p) p Group 3: p q (p) p Group 4: p (q) p p

Placing the letters p, p, p, q sequentially into the four blanks creates the uniform repeating pattern pqpp across all four blocks.

Explanation

The series follows a pattern based on the alphabetical positional values of the letters:

The first letter of each cluster increases by 7: A (1) + 7 = H (8) H (8) + 7 = O (15) O (15) + 7 = V (22)

The third letter of each cluster increases by 7: E (5) + 7 = L (12) L (12) + 7 = S (19) S (19) + 7 = Z (26)

Additionally, the gap between the last letter of one cluster and the first letter of the next cluster is 3 positions: E (5) + 3 = H (8) L (12) + 3 = O (15) S (19) + 3 = V (22)

Combining these position shifts yields VXZ as the next letter-cluster in the series.