RRB NTPC CBT 1 2016 General Intelligence & Reasoning Questions with Solutions

Explanation

The sum of students in the specified disjoint groups is 12 (only algebra) + 13 (only geometry) + 10 (only trigonometry) + 5 (both algebra and trigonometry) + 8 (only physics) + 5 (both physics and geometry) = 53.

The remaining students who like both algebra and physics are 60 - 53 = 7.

Total students who like algebra = 12 + 5 + 7 = 24. Total students who like geometry = 13 + 5 = 18.

The ratio of students who like algebra to those who like geometry is 24 : 18 = 4 : 3.

Explanation

Asha's father is Sagar, so Asha's paternal aunt is Sagar's sister. The aunt's son's maternal grandfather is Sagar's father, Aniket. Since Aniket is Sagar's father, Aniket's wife is Sagar's mother. Consequently, Sagar is the son of Aniket's wife.

Explanation

The code is the sum of the standard alphabetical position numbers of each letter (A = 1, B = 2, ..., Z = 26).

N = 14 OWL = O(15) + W(23) + L(12) = 50

Applying the same rule to TIME: TIME = T(20) + I(9) + M(13) + E(5) = 47

Explanation

Comparing 'dirt' (4213) and 'ride' (3218), the common letters 'd', 'i', and 'r' correspond to the common digits 1, 2, and 3. Therefore, the remaining letter in 'dirt', 't', is represented by digit 4.

In 'talk' (7564), with 't' = 4, the remaining set of letters {a, l, k} corresponds to digits {7, 5, 6}. Comparing 'talk' (7564) with 'like' (8562), the common letters are 'l' and 'k', which correspond to the common digits 5 and 6. Consequently, the remaining letter 'a' in 'talk' is represented by 7.

Explanation

Each letter in the word is shifted backwards by 1 position in the alphabetical order (-1), while the middle letter remains unchanged (0 shift).

In PIXIE (5 letters), the middle letter X remains X, while P, I, I, E become O, H, H, D.

Applying the same rule to ELEANOR (7 letters), where the middle letter is A: E (-1) = D L (-1) = K E (-1) = D A (0) = A N (-1) = M O (-1) = N R (-1) = Q

This gives the coded pattern DKDAMNQ.

Explanation

In the expression L + M × N:

L + M means L is the mother of M. M × N means M is the maternal aunt of N.

Since M is the maternal aunt of N, M is the sister of N's mother. Because L is the mother of M, L is also the mother of N's mother. Therefore, L is the grandmother of N.

Explanation

From statement 2, some teachers are sad people. Statement 3 states that sad people may cry. Since a portion of teachers are sad, and sad people have the possibility of crying, it logically follows that those sad teachers may also cry, making the conclusion that some teachers may cry definitely true.

Explanation

Replacing the letters with their corresponding mathematical operators gives A = ×, R = +, E = ÷, and B = −.

Substituting these into the given expression: 24 B 6 E 2 A 9 R 17 = 24 − 6 ÷ 2 × 9 + 17

Applying the BODMAS rule: Perform division: 6 ÷ 2 = 3 Perform multiplication: 3 × 9 = 27 Perform addition and subtraction: 24 − 27 + 17 = 14

Explanation

Lentil is a pulse and legume belonging to the Fabaceae family, cultivated primarily for its protein-rich edible seeds. Leafy green plants, by contrast, are harvested and consumed for their edible leaves.

Explanation

R's mother's mother-in-law is R's paternal grandmother. Her only daughter, Y, is R's father's sister (paternal aunt). Since Q is married to Y, Q is the husband of R's paternal aunt, which makes Q R's paternal uncle.

Explanation

Turnip, carrot, radish, and ginger are edible plant parts that grow beneath the ground to store nutrients. In standard agricultural and biological terminology, these underground plant structures—comprising modified taproots such as carrot, turnip, and radish, alongside rhizomes like ginger—are broadly classified as roots or root vegetables.

Explanation

Rearranging the letters in APTLE forms the word PETAL (or PLATE), whereas the other jumbled sets rearrange to form the names of planets in the solar system.

Explanation

The given sequence is an alternating combination of two series:

Odd position terms (1st, 3rd, 5th, 7th, ...): 1³, 2³, 3³, 4³, ... (1, 8, 27, 64, ...) Even position terms (2nd, 4th, 6th, 8th, ...): 1², 2², 3², 4², ... (1, 4, 9, 16, ...)

The missing term (?) occupies the 7th position, which belongs to the odd-position series of cubes, giving 4³ = 64.

Explanation

Combining the given conditions yields two set blocks of three students: O J P (since J is to the left of P and right of O) and N K L (since K is to the right of N and left of L), alongside student M.

Since P, O, K, and N cannot occupy either of the extreme ends (positions 1 and 7), neither three-student block can start at position 1. This forces M to occupy position 1 at the far left.

To prevent P, O, K, or N from occupying position 7 at the far right, the block O J P must take positions 2, 3, and 4, while N K L takes positions 5, 6, and 7, placing L at position 7.

The complete left-to-right arrangement is M, O, J, P, N, K, L. Student M stands at position 1, directly to the immediate left of O at position 2.

Explanation

From the given conditions, J is between O and P, forming the contiguous block O - J - P. Similarly, K is between N and L, forming the contiguous block N - K - L.

Since P, O, K, and N cannot occupy the extreme ends, neither O nor N can be at the leftmost position, and P cannot be at the rightmost position. This leaves M as the only candidate for the leftmost position (seat 1), while L occupies the rightmost position (seat 7).

Arranging the blocks accordingly gives the unique order from left to right as M - O - J - P - N - K - L. In a row of seven students, the 4th position represents the center, which is occupied by P.

Explanation

The given clues form two contiguous groups: O-J-P (J is between O and P) and N-K-L (K is between N and L). Since P, O, K, and N cannot stand at the extreme ends (positions 1 and 7), and M cannot be at the center (position 4), M must stand at position 1. Placing the O-J-P group at positions 2, 3, 4 and the N-K-L group at positions 5, 6, 7 satisfies all conditions, yielding the complete sequence from left to right as M, O, J, P, N, K, L. In this sequence, position 5 is occupied by N.

Explanation

The statement establishes that the Moon is a natural satellite of Earth, unlike Aryabhatta, implying Aryabhatta is not a natural satellite. Conclusion I incorrectly generalizes this to state that Aryabhatta is not a satellite at all, whereas it is an artificial satellite. Conclusion II asserts that the Moon is a star, which directly contradicts the statement defining the Moon as a natural satellite.

Explanation

Conclusions I and III involve the same elements (houses and Apples), where Conclusion I is a particular positive statement (Some houses are Apples) and Conclusion III is a universal negative statement (No house is Apple). Since the given statements establish no direct or indirect relation between houses and Apples, neither conclusion can be definitely proven true on its own. However, any house must either overlap with Apples or be completely separate from them. Thus, Conclusions I and III form a complementary pair, meaning either I or III must hold true.

Explanation

Each letter in the word is replaced by the letter that immediately precedes it in the English alphabet (a backward shift of 1 position).

Applying the same rule to EXOTIC: E - 1 = D X - 1 = W O - 1 = N T - 1 = S I - 1 = H C - 1 = B

This gives the coded string DWNSHB.

Explanation

Let Laura's maternal uncle be denoted as LM. The boy's maternal uncle is his mother's brother. If Laura is the mother of the boy, the boy's maternal uncle is Laura's brother. The uncle of Laura's brother is the brother of Laura's mother, which is Laura's maternal uncle (LM). This satisfies the condition that Laura's maternal uncle and the uncle of the boy's maternal uncle are the exact same person, establishing that Laura is the mother and the boy is her son.

Explanation

This is a direct letter-to-digit substitution code where each letter corresponds directly to a specific digit across both given words:

R = 6 I = 1 P = 3 L = 8 E = 2

Substituting the values for the letters in PILLER gives: P → 3 I → 1 L → 8 L → 8 E → 2 R → 6

This yields 318826.

Explanation

Replacing the mathematical operators according to the given conditions:

• becomes × × becomes ÷ becomes + ÷ becomes -

Substituting these into the given equation: 6 + 7 × 3 - 8 ÷ 20 = 6 × 7 ÷ 3 + 8 - 20

Applying BODMAS (order of operations): Multiplication and Division from left to right: 6 × 7 ÷ 3 = 42 ÷ 3 = 14

Addition and Subtraction from left to right: 14 + 8 - 20 = 22 - 20 = 2

Explanation

Sukhvinder's emphasis on replacing the present training programme with methods that will reveal the candidates' true potential directly implies that the current programme is ineffective in achieving this goal. Therefore, the present training programme fails to bring out the real merit of the candidates.

Explanation

In formal logic, a universal affirmative statement of the form "All A are B" can be converted by limitation into a valid particular affirmative statement "Some B are A".

Applying this rule to the premise "All pens are pencils" directly gives "Some pencils are pens", making Conclusion IV logically valid. No definite relation can be established between tents and trams, ropes and pens, or erasers and pens from the given premises, so Conclusions I, II, and III do not hold.

Explanation

Total number of students in the class = 60 Number of students who like neither Maths nor English = 12 Number of students who like at least one subject = 60 - 12 = 48

Using the set union formula, |M ∪ E| = |M| + |E| - |M ∩ E|: 48 = 42 + 32 - |M ∩ E| |M ∩ E| = 74 - 48 = 26

Number of students who like only Maths = |M| - |M ∩ E| = 42 - 26 = 16

Percentage of total students who like only Maths = (16 / 60) × 100 = 26.67%

Explanation

The total number of students who like at least one subject is given by: n(M ∪ E) = Total students - Neither = 60 - 12 = 48

Using the principle of inclusion-exclusion: n(M ∪ E) = n(M) + n(E) - n(M ∩ E)

Substituting the given values: 48 = 42 + 32 - n(M ∩ E) 48 = 74 - n(M ∩ E) n(M ∩ E) = 74 - 48 = 26

Explanation

Total students who like at least one subject = 60 - 12 = 48.

Using the set inclusion-exclusion principle: Students who like both subjects = Liking Maths + Liking English - Liking At Least One Students who like both subjects = 42 + 32 - 48 = 26

The number of students who like exactly one subject is the number of students liking at least one subject minus those liking both subjects: Students liking exactly one subject = 48 - 26 = 22

Explanation

This is a direct substitution code where each letter corresponds to a specific digit: P = 2, R = 7, A = 5, B = 9, H = 6, I = 8, T = 3, and L = 4.

Mapping the letters of BHARATHI using these values gives: B = 9 H = 6 A = 5 R = 7 A = 5 T = 3 H = 6 I = 8

Combining these yields 96575368.

Explanation

The expression "my mother" refers to Ram's mother. The "grandson of my mother" is Ram's son. Therefore, the "wife of the grandson" is the wife of Ram's son, making the girl Ram's daughter-in-law. Consequently, Ram is her father-in-law.

Explanation

From the second statement, "All the monkeys are cats", the set of monkeys is entirely contained within the set of cats. By immediate conversion of an universal affirmative statement (All A are B → Some B are A), it directly follows that "Some cats are monkeys".

The statements do not establish any definite relation between cats and windows outside the subset of monkeys, so no universal negative relationship between cats and windows can be inferred. Therefore, only conclusion 3 logically follows.

Explanation

The boy's mother's only daughter is the boy's sister. Since Rani states that this sister is her mother, the boy is Rani's maternal uncle, which makes Rani his niece.

Explanation

The given statement highlights that although the number of hospitals has increased, their quality in terms of equipment and patient care remains inadequate. To resolve this problem and improve patient care within the expanding healthcare system, the necessary logical step is to strengthen current infrastructure by supplying qualified doctors and proper medical equipment to existing facilities. This directly addresses the core issue identified in the statement.

Explanation

Arranging the five boys from left to right based on the given conditions:

Sachin is to the right of Bin and to the left of Ram: Bin - Sachin - Ram Rony is between Ram and Monty: Ram - Rony - Monty

Combining these yields the complete left-to-right order: Bin, Sachin, Ram, Rony, Monty.

Counting to the middle position (3rd from either end) gives Ram.

Explanation

Arranging the five boys from left to right based on the given statements: Sachin is to the right of Bin and to the left of Ram: Bin – Sachin – Ram. Rony is between Ram and Monty: Ram – Rony – Monty.

Combining these gives the complete sequence from left to right: Bin – Sachin – Ram – Rony – Monty.

Counting from the right end, Monty is 1st from the right, and Rony is 2nd from the right.

Explanation

Based on the given seating conditions, we can establish the left-to-right arrangement step-by-step:

Sachin is to the right of Bin and to the left of Ram, which gives the order Bin - Sachin - Ram. Rony is between Ram and Monty, placing Rony to the right of Ram and Monty to the right of Rony.

Combining these positions gives the complete left-to-right sequence: Bin, Sachin, Ram, Rony, Monty.

Positioning from left to right: 1st: Bin 2nd: Sachin 3rd: Ram 4th: Rony 5th: Monty

Sachin occupies the second position from the left.

Explanation

When an institution implements a policy with the explicit purpose of achieving an objective, it logically assumes that the policy will successfully achieve that objective for at least a section of the target audience. Since the school made debate classes and report submissions compulsory specifically to cultivate interest, it directly implies the expectation that some students will eventually develop an interest in debating as a result of this measure.

Explanation

Chandra's father's son is Chandra's brother (or Chandra himself if male). The sister of Chandra's father's son is the daughter of Chandra's father. Since Anand's mother is this daughter, Anand is the son of Chandra's father's daughter. Consequently, Anand is the grandson of Chandra's father.

Explanation

Aditya has two children: a daughter and a second child. His daughter's niece is the child of Aditya's second child. Since Anil is the father of this niece, Anil is the second child, making him Aditya's son.

Explanation

Megha meets every admission requirement specified by the college. Her Physics score of 80% exceeds the 75% threshold, her Mathematics score of 87% exceeds the 85% threshold, and her Chemistry score of 75% exceeds the 70% threshold. Additionally, her English score of 70% satisfies the minimum requirement of at least 60%, and her skill as a singer fulfills the extracurricular criterion in music.

Explanation

The pattern follows an alternating letter shift of -1 and +1 on successive positions:

B (-1) = A L (+1) = M A (-1) = Z C (+1) = D K (-1) = J

Applying the same rule to BEAUTIFUL:

B (-1) = A E (+1) = F A (-1) = Z U (+1) = V T (-1) = S I (+1) = J F (-1) = E U (+1) = V L (-1) = K

This gives the coded word AFZVSJEVK.

Explanation

Q and P are siblings, making R the mother of both Q and P. Therefore, Q's father is R's husband. Since M is R's father, R's husband (Q's father) is M's son-in-law.

Explanation

The words "Impulsive" and "Impromptu" are synonyms, both referring to actions done spontaneously without prior planning or premeditation. Similarly, "Flawless" and "Impeccable" share a synonymous relationship, as both words describe something that is perfect, faultless, and without any defects.

Explanation

At room temperature and standard atmospheric conditions, ammonia exists in the gaseous state, whereas camphor is a waxy, white crystalline organic compound that exists naturally in the solid state. Although camphor readily undergoes sublimation directly into gas, its standard physical state is solid.

Explanation

Caffeine is a legally permitted central nervous system stimulant belonging to the methylxanthine class. It is widely consumed around the world in daily dietary items such as coffee, tea, and cocoa, and is not classified or banned as an illicit narcotic drug.

Explanation

Each letter is assigned its positional value in the English alphabetical order (A = 1, B = 2, ..., Z = 26).

O = 15

STAR = 19 + 20 + 1 + 18 = 58

Applying the same rule to CAMEL: CAMEL = 3 + 1 + 13 + 5 + 12 = 34

Explanation

Arranging the six students facing the center of the circle:

Mary sits to the immediate right of July. The student sitting to the immediate left of July is to the immediate right of Fairy, which places Fairy two positions to the left of July. Lily cannot sit adjacent to Fairy, which forces Lily to sit to the immediate left of Mary. The remaining two seats must be filled by Daisy and Rosy. Since Lily occupies the seat to the immediate right of Mary, the condition that Rosy does not sit to the immediate right of Mary is automatically satisfied without fixing the positions of Rosy and Daisy.

Thus, either Daisy or Rosy can occupy the seat to the immediate right of Lily. Even if July leaves the circle, the person sitting to the immediate right of Lily remains either Daisy or Rosy, making it impossible to uniquely determine who sits there.

Explanation

Placing July in the circular arrangement, Mary sits to her immediate right. The student sitting to the immediate left of July also sits to the immediate right of Fairy, which fixes Fairy's position two seats away from July.

Since Lily cannot sit near Fairy, she must occupy the seat between Mary and Fairy. The remaining two seats, including the position to the immediate left of July (which is to the immediate right of Fairy), must be occupied by Daisy and Rosy. The restriction that Rosy cannot sit to the immediate right of Mary is already satisfied because Lily occupies that seat.

Since no rule specifies the exact placement between Daisy and Rosy, either of them can sit to the immediate left of July. Consequently, the position to the immediate right of Fairy can be held by either Daisy or Rosy, making it impossible to uniquely determine who sits there.

Explanation

Arrange the six students in a circular seating arrangement facing the center (positions 1 to 6 in counter-clockwise order, where moving counter-clockwise represents immediate right and moving clockwise represents immediate left):

July is at position 1. Since Mary sits to the immediate right of July, Mary is at position 2. The student to the immediate left of July is at position 6. Since this position is to the immediate right of Fairy, Fairy is at position 5. Lily does not sit near Fairy, so Lily cannot be at position 4 or 6. Since positions 1, 2, and 5 are already taken, Lily sits at position 3.

The position to the immediate left of Lily (position 3) is position 2, which is occupied by Mary.

Explanation

To find the number of people who wanted to see only one animal, first determine the remaining people who wanted to see only bear.

Sum of specified groups = Only bison (20) + Both bison and tiger (30) + Only leopard (15) + Only tiger (25) + Both bison and leopard (5) = 95.

Only bear = Total - 95 = 100 - 95 = 5.

People who wanted to see only one animal = Only bison + Only leopard + Only tiger + Only bear = 20 + 15 + 25 + 5 = 65.

Explanation

The group of people who want to see bison consists of three disjoint categories: those who want to see only bison (20), those who want to see both bison and tiger (30), and those who want to see both bison and leopard (5).

To find the number of people who wanted to see bison but did not want to see leopard, sum the categories that exclude leopard:

20 (only bison) + 30 (bison and tiger) = 50