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Question 1Logical Reasoning
Statements: All pens are books. Some books are red. Conclusions: I. Some books are pens. II. Some pens are red. Which conclusion logically follows?
- Both conclusions follow
- Only conclusion II follows
- Only conclusion I follows Correct answer.
- Neither conclusion follows
Explanation
The statement 'All pens are books' can be converted to 'Some books are pens', so conclusion I is valid. The red books mentioned may be a different set from the pens, so conclusion II is only a possibility, not a certainty.
Question 2Logical Reasoning
Pointing to a man, Ravi said, 'He is the son of my mother's only daughter.' How is the man related to Ravi?
- Cousin
- Brother
- Son
- Nephew Correct answer.
Explanation
Ravi's mother's only daughter is Ravi's sister, since Ravi himself is male. The son of Ravi's sister is Ravi's nephew.
Question 3Logical Reasoning
In a certain code, CAT is written as 3-1-20. Using the same rule, how is DOG written?
- 4-15-7 Correct answer.
- 3-15-7
- 4-15-6
- 4-14-7
Explanation
Each letter is replaced by its position in the English alphabet: C=3, A=1, T=20. Applying the same rule, D=4, O=15 and G=7.
Question 4Logical Reasoning
Find the next number in the series: 2, 6, 12, 20, 30, ?
- 36
- 44
- 42 Correct answer.
- 40
Explanation
The differences between consecutive terms are 4, 6, 8 and 10, increasing by 2 each time. The next difference is therefore 12, giving 30 + 12 = 42.
Question 5Logical Reasoning
A man walks 5 km north, turns right and walks 3 km, then turns right again and walks 5 km. Where is he with respect to his starting point?
- 3 km east Correct answer.
- 8 km east
- 3 km west
- 5 km north
Explanation
Moving 5 km north and then 5 km south after two right turns cancels the north-south displacement. The only remaining displacement is the 3 km walked east after the first right turn.
Question 6Logical Reasoning
Three of the following four numbers are perfect cubes. Which one is different?
- 8
- 100 Correct answer.
- 64
- 27
Explanation
The numbers 8, 27 and 64 equal 2 cubed, 3 cubed and 4 cubed respectively. The number 100 is 10 squared, not a perfect cube.
Question 7Logical Reasoning
In a class, Anil ranks 12th from the top and 18th from the bottom. How many students are there in the class?
- 31
- 29 Correct answer.
- 30
- 28
Explanation
Total students equal the rank from the top plus the rank from the bottom minus one, because Anil is counted twice. That gives 12 + 18 - 1 = 29.
Question 8Logical Reasoning
Pen is to Write as Knife is to ?
- Metal
- Cut Correct answer.
- Sharp
- Kitchen
Explanation
A pen is an instrument used for writing, so the pair links a tool to its function. A knife is a tool used for cutting, so 'Cut' completes the analogy.
Question 9Logical Reasoning
Statements: Some doctors are lawyers. No lawyer is a teacher. Conclusions: I. Some doctors are not teachers. II. Some teachers are doctors. Which conclusion logically follows?
- Neither conclusion follows
- Both conclusions follow
- Only conclusion II follows
- Only conclusion I follows Correct answer.
Explanation
The doctors who are also lawyers can never be teachers, since no lawyer is a teacher; hence some doctors are definitely not teachers. Conclusion II states a mere possibility and is not guaranteed by the statements.
Question 10Logical Reasoning
Five friends A, B, C, D and E sit in a row facing north. C is second to the left of E. B sits immediately to the right of C. A sits at one extreme end. D is not adjacent to E. Who sits second to the left of A?
- C
- E
- D
- B Correct answer.
Explanation
The conditions force the order D-C-B-E-A from left to right: only C in the second place allows A at an end while keeping D away from E. Hence the person second to the left of A is B.
Question 11Logical Reasoning
In a certain code language MOBILE is written as NPCJMF. How is TABLET written in that code?
- SZAKDS
- UBCMFT
- UBCMFU Correct answer.
- UBDMFU
Explanation
Each letter of the word is replaced by the next letter in the English alphabet. Applying this shift to TABLET gives U, B, C, M, F, U.
Question 12Logical Reasoning
Find the next number in the series: 3, 8, 15, 24, 35, ?
- 46
- 48 Correct answer.
- 47
- 49
Explanation
The differences are 5, 7, 9 and 11, increasing by 2 each time. The next difference is 13, so the missing term is 35 + 13 = 48.
Question 13Logical Reasoning
In a code, A + B means A is the father of B, A - B means A is the sister of B, and A x B means A is the mother of B. In P x Q + R - S, how is P related to S?
- Sister
- Mother
- Aunt
- Grandmother Correct answer.
Explanation
P is the mother of Q, Q is the father of R, and R is the sister of S, so Q is also the father of S. Therefore P, being the mother of S's father, is S's grandmother.
Question 14Logical Reasoning
A person walks 4 km south, turns left and walks 3 km, then turns left again and walks 4 km. What is his position relative to the starting point?
- 4 km north
- 5 km east
- 3 km west
- 3 km east Correct answer.
Explanation
Walking 4 km south then 4 km north cancels the vertical movement. The single 3 km stretch after the first left turn (facing east) leaves him 3 km east of the start.
Question 15Logical Reasoning
What is the angle between the hour hand and the minute hand of a clock at 3:30?
- 90 degrees
- 75 degrees Correct answer.
- 60 degrees
- 85 degrees
Explanation
At 3:30 the minute hand points at 6, that is 180 degrees from 12. The hour hand has moved half an hour past 3, so it is at 105 degrees, giving a difference of 75 degrees.
Question 16Logical Reasoning
Statement: The government has decided to ban the sale of tobacco products within 500 metres of schools. Which of the given assumptions is implicit? I. People will continue to consume tobacco. II. The ban may reduce students' exposure to tobacco.
- Both assumptions are implicit
- Only assumption I is implicit
- Neither assumption is implicit
- Only assumption II is implicit Correct answer.
Explanation
A policy is framed with the expectation that it will achieve its stated aim, so the assumption that students' exposure will fall is implicit. Whether people continue to consume tobacco is not required for the decision to be taken.
Question 17Logical Reasoning
How many children are there in the class? Statement I: Ravi ranks 10th from the top. Statement II: Ravi ranks 15th from the bottom.
- Even both statements together are not sufficient
- Both statements together are sufficient Correct answer.
- Statement I alone is sufficient
- Statement II alone is sufficient
Explanation
The total number of children equals the top rank plus the bottom rank minus one. Neither rank alone gives the class strength, but together they yield 10 + 15 - 1 = 24.
Question 18Logical Reasoning
Find the missing term in the series: AZ, BY, CX, DW, ?
- FV
- EU
- EV Correct answer.
- DV
Explanation
In each pair the first letter moves forward through the alphabet (A, B, C, D, E) while the second moves backward (Z, Y, X, W, V). After DW the next pair is therefore EV.
Question 19Logical Reasoning
Four friends A, B, C and D sit around a circular table facing the centre. A sits immediately to the right of B. C sits opposite A. Who sits immediately to the left of B?
- D
- B
- C Correct answer.
- A
Explanation
For people facing the centre, a person's right-hand neighbour is the one in the anticlockwise direction. Placing B first, A is anticlockwise of B, C is opposite A, and D fills the last seat, which puts C immediately to B's left.
Question 20Logical Reasoning
Find the next number in the series: 4, 12, 36, 108, ?
- 312
- 432
- 216
- 324 Correct answer.
Explanation
Every term is obtained by multiplying the previous term by 3. Hence the missing term is 108 x 3 = 324.
Question 21Logical Reasoning
Statements: All engineers are graduates. No graduate is illiterate. All illiterates are workers. Conclusions: I. No engineer is illiterate. II. Some workers are graduates. III. Some workers are not graduates. Which conclusions follow?
- Only II and III follow
- Only I and III follow Correct answer.
- Only I and II follow
- All I, II and III follow
Explanation
Since every engineer is a graduate and no graduate is illiterate, conclusion I follows. All illiterates are workers and none of them is a graduate, so some workers are definitely not graduates, making III valid, while II is not guaranteed.
Question 22Logical Reasoning
Find the next number in the series: 3, 5, 10, 12, 24, 26, ?
- 54
- 52 Correct answer.
- 50
- 48
Explanation
The series alternates between adding 2 and doubling: 3 + 2 = 5, 5 x 2 = 10, 10 + 2 = 12, and so on. After 26 the operation is doubling, so the next term is 52.
Question 23Logical Reasoning
Six friends P, Q, R, S, T and U sit in a row facing north. T sits at the extreme left end. P sits second to the left of Q. R sits third to the right of P and S sits immediately to the right of R. Who sits third to the left of Q?
- P
- T Correct answer.
- S
- U
Explanation
With T fixed at the left end, P must occupy the second seat so that Q, R and S can fit to the right, giving the order T, P, U, Q, R, S. The person third to the left of Q in the fourth seat is therefore T.
Question 24Logical Reasoning
In a certain code, every vowel is replaced by the next letter in the alphabet and every consonant by the previous letter. How is MOUSE written in that code?
- LPVRF Correct answer.
- LOVRF
- LPVRE
- LPVSF
Explanation
M and S are consonants and move one step back to L and R, while O, U and E are vowels and move one step forward to P, V and F. Combining these gives LPVRF.
Question 25Logical Reasoning
In a row of 40 students facing north, A is 12th from the left end and B is 17th from the right end. How many students sit between A and B?
- 10
- 12
- 11 Correct answer.
- 13
Explanation
B's position from the left is 40 - 17 + 1 = 24. The number of students between A (position 12) and B (position 24) is 24 - 12 - 1 = 11.
Question 26Logical Reasoning
Doctor is to Hospital as Teacher is to ?
- Hospital Correct answer.
- Medicine
- Patient
- Nurse
Explanation
A doctor's primary workplace is a hospital, so the matching workplace for a teacher is a school. The relationship is profession to usual workplace.
Question 27Logical Reasoning
If RED is coded as 1854 using alphabet positions, how is BLUE coded?
- 212215 Correct answer.
- 212115
- 221215
- 212251
Explanation
Each letter is replaced by its position in the alphabet: R=18, E=5, D=4. For BLUE, B=2, L=12, U=21, E=5, giving 212215.
Question 28Logical Reasoning
A person facing north turns 90° clockwise, then turns 180° anticlockwise. Which direction is he facing now?
- East
- South
- North
- West Correct answer.
Explanation
Starting north, a 90° clockwise turn brings him to east. A 180° anticlockwise turn from east reverses the direction to west.
Question 29Logical Reasoning
Pointing to a woman, Rahul said, 'She is the daughter of my grandfather's only son.' How is the woman related to Rahul?
- Aunt
- Sister Correct answer.
- Mother
- Cousin
Explanation
Rahul's grandfather's only son must be Rahul's father. The daughter of Rahul's father is Rahul's sister.
Question 30Logical Reasoning
In a row of 30 children facing north, R is 11th from the left end. What is R's position from the right end?
- 21st
- 18th
- 19th
- 20th Correct answer.
Explanation
The position from the right is total children minus position from the left plus one. Thus 30 − 11 + 1 = 20th from the right.
Question 31Logical Reasoning
Three of the following four numbers are perfect squares. Which one is different?
- 121
- 144
- 180 Correct answer.
- 169
Explanation
121 = 11², 144 = 12², and 169 = 13² are perfect squares. 180 lies between 13² and 14² and is not a perfect square.
Question 32Logical Reasoning
Statements: No reptiles are mammals. All snakes are reptiles. Which conclusion follows necessarily?
- All mammals are snakes.
- Some reptiles are not snakes.
- Some snakes are mammals.
- No snakes are mammals. Correct answer.
Explanation
Since snakes are included in reptiles and no reptile is a mammal, no snake can be a mammal. The other conclusions either contradict the premises or are not guaranteed.
Question 33Logical Reasoning
Find the next number in the series: 5, 11, 23, 47, ?
- 97
- 93
- 91
- 95 Correct answer.
Explanation
Each term is obtained by doubling the previous term and adding 1: 5×2+1=11, 11×2+1=23, 23×2+1=47. Therefore 47×2+1=95.
Question 34Logical Reasoning
If MOON is coded as NOOM, how is STAR coded?
- SART
- TARS
- STAR
- RATS Correct answer.
Explanation
The code reverses the order of the letters: MOON becomes NOOM. Reversing STAR gives RATS.
Question 35Logical Reasoning
Five friends P, Q, R, S and T sit in a row facing north. R is in the middle. P is immediately to the left of R. T is at the extreme right. Q is not adjacent to R. Who sits at the extreme left?
- T
- P
- Q Correct answer.
- S
Explanation
With R in the middle seat 3, P must be in seat 2 and T in seat 5. The remaining seats 1 and 4 are for Q and S; since Q is not adjacent to R, Q cannot be in seat 4, so Q is in seat 1. Thus Q sits at the extreme left.
Question 36Logical Reasoning
A is the mother of B. B is the sister of C. C is the father of D. How is A related to D?
- Aunt
- Mother
- Sister
- Grandmother Correct answer.
Explanation
Since B is C's sister, A is also C's mother. C is D's father, so C's mother A is D's grandmother.
Question 37Logical Reasoning
A man walks 5 km north, then 4 km east, then 3 km south. What is his position relative to the starting point?
- 2 km towards north
- 2√5 km, north-east Correct answer.
- 5 km towards north-east
- 4 km towards east
Explanation
The north-south displacement is 5 − 3 = 2 km north, and the east displacement is 4 km. The resultant distance is √(2²+4²)=√20=2√5 km, in the north-east direction.
Question 38Logical Reasoning
What is the angle between the hour hand and the minute hand of a clock at 4:20?
- 20°
- 30°
- 10° Correct answer.
- 0°
Explanation
At 4:20, the minute hand is at 120°. The hour hand has moved 20×0.5=10° past 4, so it is at 130°. The difference is 10°.
Question 39Logical Reasoning
In a row of 45 students, how many students sit between P and Q? Statement I: P is 12th from the left. Statement II: Q is 20th from the right.
- Neither I nor II is sufficient
- I alone is sufficient
- Both I and II together Correct answer.
- II alone is sufficient
Explanation
From I, P is at position 12 from the left. From II, Q is at position 45 − 20 + 1 = 26 from the left. The number between them is 26 − 12 − 1 = 13, so both statements are needed.
Question 40Logical Reasoning
Statements: Some pens are books. All books are papers. No paper is red. Conclusions: I. Some pens are papers. II. No book is red. Which conclusion(s) follow?
- Only I follows
- Neither I nor II follows
- Both I and II follow Correct answer.
- Only II follows
Explanation
Some pens are books and all books are papers, so those pens are papers, making I valid. Since all books are papers and no paper is red, no book can be red, making II valid.
Question 41Logical Reasoning
Sculptor is to Chisel as Painter is to ?
- Canvas
- Colour
- Wall
- Brush Correct answer.
Explanation
A chisel is the tool used by a sculptor, so the matching tool for a painter is a brush. The relation is profession to characteristic tool.
Question 42Logical Reasoning
Find the next term in the series: BD, FH, JL, NP, ?
- ST
- RT Correct answer.
- RS
- QT
Explanation
Each letter in a pair advances by four places from the corresponding letter in the previous pair. B→F→J→N→R and D→H→L→P→T, giving RT.
Question 43Logical Reasoning
Five friends A, B, C, D and E are of different heights. A is taller than B but shorter than D. C is shorter than B. E is taller than D. Who is the tallest?
- E Correct answer.
- D
- B
- A
Explanation
The clues give D > A > B > C and E > D. Combining these gives E > D > A > B > C, so E is the tallest.
Question 44Logical Reasoning
If 'A @ B' means A is the husband of B, 'A # B' means A is the son of B, and 'A $ B' means A is the daughter of B, then in 'X @ Y # Z', how is X related to Z?
- Father-in-law
- Brother-in-law
- Nephew
- Son-in-law Correct answer.
Explanation
X @ Y means X is the husband of Y, and Y # Z means Y is the son of Z. Therefore X is the husband of Z's son, making X Z's son-in-law.
Question 45Logical Reasoning
Six friends A, B, C, D, E and F sit around a circular table facing the centre. A sits opposite D. B sits adjacent to A. C sits adjacent to D. E sits opposite B. Who sits opposite C?
- A
- F Correct answer.
- E
- B
Explanation
Place A and D opposite each other. B adjacent to A fixes E opposite B. C must then take the neighbour seat of D that is not occupied by E, and the only remaining seat, opposite C, belongs to F.
Question 46Logical Reasoning
Find the missing number in the series: 7, 8, 12, 21, 37, ?
- 61
- 60
- 63
- 62 Correct answer.
Explanation
The differences between consecutive terms are 1, 4, 9 and 16, which are consecutive perfect squares. The next difference is 25, so the missing term is 37 + 25 = 62.
Question 47Logical Reasoning
A says, 'B is lying.' B says, 'C is lying.' C says, 'Both A and B are lying.' If exactly one person is telling the truth, who is truthful?
- B Correct answer.
- A
- Cannot be determined
- C
Explanation
If B is truthful, then C is lying. A's claim that B is lying is false, and C's claim that both A and B are lying is also false because B is truthful. This gives exactly one truthful person, namely B.
Question 48Logical Reasoning
Four friends A, B, C and D each have a different profession among Doctor, Engineer, Lawyer and Teacher, and each lives in a different city among Delhi, Mumbai, Pune and Chennai. A is not the Doctor and does not live in Delhi. The Engineer lives in Mumbai. B is the Lawyer and lives in Pune. C lives in Chennai. D is the Doctor. Who is the Engineer?
- C
- A Correct answer.
- D
- B
Explanation
B is the Lawyer in Pune and D is the Doctor. The Engineer lives in Mumbai, so the Engineer cannot be B or C (who lives in Chennai). D is already the Doctor, leaving A as the Engineer.
Question 49Logical Reasoning
Statements: All A are B. Some B are C. No C is D. Conclusions: I. Some A are C. II. Some B are not D. Which conclusion(s) follow?
- Only I follows
- Only II follows Correct answer.
- Neither I nor II follows
- Both I and II follow
Explanation
The B's that are C cannot be D, so some B are certainly not D, making II valid. However, the C's that are B need not include any A, so I is not guaranteed.
Question 50Logical Reasoning
If 26 January 2023 fell on a Thursday, on which day of the week did 26 January 2025 fall?
- Sunday Correct answer.
- Saturday
- Friday
- Monday
Explanation
Count the odd days between the two dates. The year from 26 Jan 2023 to 26 Jan 2024 is an ordinary year, giving 1 odd day, while 26 Jan 2024 to 26 Jan 2025 includes 29 February 2024, giving 2 odd days. The total is 3 odd days, and moving 3 days forward from Thursday lands on Sunday.