PET Practice Set 18

UPSSSC PET (Preliminary Eligibility Test) · 2026 · with answers and explanations

questions
30
Total marks
30
Duration
120 minutes
Negative marking
−0.25

Subjects: Aptitude (Reasoning)

Question 1

Aptitude (Reasoning) · 1 marks · −0.25

Find the odd one out: 8, 27, 64, 100, 125, 216, 343

  1. A.100
  2. B.27
  3. C.125
  4. D.343

Correct answer: A

Explanation: All others are perfect cubes (2³=8, 3³=27, 4³=64, 5³=125, 6³=216, 7³=343). 100 is 10² — a perfect square, not a cube.

Question 2

Aptitude (Reasoning) · 1 marks · −0.25

Complete the series: B, D, G, K, ?

  1. A.N
  2. B.O
  3. C.P
  4. D.M

Correct answer: C

Explanation: Gaps between letters increase by 1 each time: B→D (+2), D→G (+3), G→K (+4), K→P (+5). The next letter is P.

Question 3

Aptitude (Reasoning) · 1 marks · −0.25

Find the missing number: 1, 4, 9, 16, 25, ?

  1. A.30
  2. B.35
  3. C.36
  4. D.49

Correct answer: C

Explanation: These are perfect squares: 1², 2², 3², 4², 5². The next is 6² = 36.

Question 4

Aptitude (Reasoning) · 1 marks · −0.25

Find the next term in the series: 5, 11, 23, 47, ?

  1. A.__(wrong)
  2. B.95
  3. C.96
  4. D.94

Correct answer: B

Explanation: Each term is doubled and then 1 is added. 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95.

Question 5

Aptitude (Reasoning) · 1 marks · −0.25

Pointing to Falguni, Hardik said, "The son of her only brother is the brother of my wife." How is Falguni related to Hardik?

  1. A.Sister of father-in-law
  2. B.Niece
  3. C.Maternal aunt
  4. D.Grandmother

Correct answer: A

Explanation: Falguni's brother's son is the brother of Hardik's wife. So Falguni's brother is Hardik's father-in-law. Therefore Falguni is the sister of Hardik's father-in-law.

Question 6

Aptitude (Reasoning) · 1 marks · −0.25

Pointing to a woman, Nilesh said, "She is the only daughter of my wife's grandfather's only child." How is the woman related to Nilesh?

  1. A.Wife
  2. B.Mother
  3. C.Aunt
  4. D.Daughter

Correct answer: A

Explanation: Wife's grandfather's only child = wife's parent. That parent's only daughter = Nilesh's wife herself.

Question 7

Aptitude (Reasoning) · 1 marks · −0.25

Pointing towards a boy, Veena said, "He is the son of the only son of my paternal grandfather." How is the boy related to Veena?

  1. A.Uncle
  2. B.Brother
  3. C.Cousin
  4. D.None of these

Correct answer: B

Explanation: Veena's paternal grandfather's only son = Veena's father. That father's son = Veena's brother.

Question 8

Aptitude (Reasoning) · 1 marks · −0.25

Z is the father of Y. Y is the brother of X. X is the sister of V and is married to U, who is the father of T. How is Z related to T?

  1. A.Mother's brother
  2. B.Father's brother
  3. C.Mother's father
  4. D.Father's father

Correct answer: C

Explanation: Z is X's father. X married U and they have child T. So Z is T's maternal grandfather (mother's father).

Question 9

Aptitude (Reasoning) · 1 marks · −0.25

If Aniket is the brother of the son of Priyanka's son, then how is Aniket related to Priyanka?

  1. A.Cousin
  2. B.Brother
  3. C.Son
  4. D.Grandson

Correct answer: D

Explanation: Priyanka's son has a son. Aniket is that grandson's brother, making Aniket also Priyanka's grandson.

Question 10

Aptitude (Reasoning) · 1 marks · −0.25

Fatima while introducing Mustafa to her husband said, "His brother's father is the only son of my grandfather." How is Fatima related to Mustafa?

  1. A.Aunt
  2. B.Sister
  3. C.Niece
  4. D.Mother

Correct answer: B

Explanation: Mustafa's brother's father = Mustafa's father. He is the only son of Fatima's grandfather = Fatima's father. So Mustafa and Fatima share the same father — she is his sister.

Question 11

Aptitude (Reasoning) · 1 marks · −0.25

A man walks 5 km towards South, then turns left and walks 3 km. He then turns left again and walks 5 km. In which direction is he now from the starting point?

  1. A.North
  2. B.South
  3. C.East
  4. D.West

Correct answer: C

Explanation: Starting point → 5 km South → turn left (now facing East) → 3 km East → turn left (now facing North) → 5 km North. He returns to the same latitude as the start but is 3 km East of it.

Question 12

Aptitude (Reasoning) · 1 marks · −0.25

Ravi walks 10 m towards North, turns right and walks 15 m, then turns right and walks 10 m. How far is he from the starting point?

  1. A.10 m
  2. B.15 m
  3. C.25 m
  4. D.20 m

Correct answer: B

Explanation: He walks 10 m North, 15 m East, then 10 m South. The North and South cancel out (10 - 10 = 0), so he is exactly 15 m East of the start.

Question 13

Aptitude (Reasoning) · 1 marks · −0.25

A person starts from point P, walks 4 km East, turns left and walks 3 km, turns left again and walks 4 km. How far and in which direction is he from point P?

  1. A.3 km North
  2. B.3 km South
  3. C.4 km North
  4. D.3 km West

Correct answer: A

Explanation: From P: 4 km East → turn left (face North) → 3 km North → turn left (face West) → 4 km West. East and West cancel (4 - 4 = 0). He is exactly 3 km North of P.

Question 14

Aptitude (Reasoning) · 1 marks · −0.25

Mohan starts from his house, goes 4 km North, then turns right and goes 3 km, then turns right and goes 4 km. In which direction is his house from his current position?

  1. A.East
  2. B.West
  3. C.North
  4. D.South

Correct answer: B

Explanation: He walks 4 km North, 3 km East, 4 km South. He is now 3 km due East of his house. Therefore, his house is to his West.

Question 15

Aptitude (Reasoning) · 1 marks · −0.25

Sunita walks 6 km towards West, turns left and walks 4 km, then turns left and walks 6 km. In which direction and how far is she from her starting point?

  1. A.4 km South
  2. B.4 km North
  3. C.4 km East
  4. D.4 km West

Correct answer: A

Explanation: 6 km West → turn left (face South) → 4 km South → turn left (face East) → 6 km East. West and East cancel (6 - 6 = 0). She is 4 km South of the start.

Question 16

Aptitude (Reasoning) · 1 marks · −0.25

In a class of 35 students, Kunal is 7th from the bottom, Sonali is 9th from the top. Pulkit is exactly between them. What is Pulkit's position from Kunal?

  1. A.9th
  2. B.10th
  3. C.11th
  4. D.13th

Correct answer: B

Explanation: Students between Kunal and Sonali = 35 - 9 - 7 = 19. Pulkit is in the middle, so distance from Kunal = (19 + 1) / 2 = 10th from Kunal.

Question 17

Aptitude (Reasoning) · 1 marks · −0.25

In a row of boys, Karthik is 7th from the left and Suganya is 12th from the right. When they interchange positions, Karthik becomes 22nd from the left. How many boys are there in the row?

  1. A.31
  2. B.32
  3. C.33
  4. D.34

Correct answer: C

Explanation: After interchange, Karthik takes Suganya's original position (12th from right). So Karthik is now 22nd from left. Total = 22 + 12 - 1 = 33.

Question 18

Aptitude (Reasoning) · 1 marks · −0.25

Five friends P, Q, R, S, T stand in a row by height. S is shorter than T but taller than P. R is the tallest. Q is slightly shorter than T but slightly taller than S. Who is the shortest?

  1. A.S
  2. B.Q
  3. C.P
  4. D.T

Correct answer: C

Explanation: Order: R > T > Q > S > P. P is the shortest.

Question 19

Aptitude (Reasoning) · 1 marks · −0.25

Karim ranks 16th from the top in a class of 49. What is his rank from the bottom?

  1. A.33
  2. B.32
  3. C.34
  4. D.35

Correct answer: C

Explanation: Rank from bottom = Total - Rank from top + 1 = 49 - 16 + 1 = 34.

Question 20

Aptitude (Reasoning) · 1 marks · −0.25

In a row, Ganesh is 7th from one end and 11th from the other. How many students are in the row?

  1. A.19
  2. B.17
  3. C.18
  4. D.20

Correct answer: B

Explanation: Total = 7 + 11 - 1 = 17.

Question 21

Aptitude (Reasoning) · 1 marks · −0.25

If February 18, 2005 was a Friday, what day of the week was February 18, 2007?

  1. A.Sunday
  2. B.Monday
  3. C.Tuesday
  4. D.Wednesday

Correct answer: A

Explanation: 2005 and 2006 are both non-leap years, so each adds 1 odd day. Total odd days = 2. Friday + 2 = Sunday.

Question 22

Aptitude (Reasoning) · 1 marks · −0.25

What is the angle between the hour hand and the minute hand at 3:30?

  1. A.90°
  2. B.75°
  3. C.60°
  4. D.45°

Correct answer: B

Explanation: Using the formula |(30H - 5.5M)|: |30×3 - 5.5×30| = |90 - 165| = 75°.

Question 23

Aptitude (Reasoning) · 1 marks · −0.25

If the day before yesterday was Thursday, what day will it be three days after tomorrow?

  1. A.Monday
  2. B.Tuesday
  3. C.Wednesday
  4. D.Sunday

Correct answer: C

Explanation: Day before yesterday = Thursday, so yesterday = Friday, today = Saturday. Tomorrow = Sunday. Three days after tomorrow: Monday (1), Tuesday (2), Wednesday (3). The answer is Wednesday.

Question 24

Aptitude (Reasoning) · 1 marks · −0.25

How many times do the hands of a clock coincide (overlap) in a 12-hour period?

  1. A.10
  2. B.11
  3. C.12
  4. D.24

Correct answer: B

Explanation: The hands coincide once in every hour except that the overlap between 11 and 1 counts only once. In 12 hours the hands coincide 11 times.

Question 25

Aptitude (Reasoning) · 1 marks · −0.25

If January 1 of a non-leap year falls on a Friday, what day will December 31 of that year be?

  1. A.Friday
  2. B.Saturday
  3. C.Sunday
  4. D.Thursday

Correct answer: A

Explanation: A non-leap year has 365 days = 52 weeks + 1 day. January 1 and December 31 are exactly 364 days apart = 52 complete weeks. So December 31 falls on the same day as January 1, which is Friday.

Question 26

Aptitude (Reasoning) · 1 marks · −0.25

What is the angle between the hour and minute hands at 6:10?

  1. A.138°
  2. B.125°
  3. C.115°
  4. D.180°

Correct answer: B

Explanation: Using formula |30H - 5.5M| = |30×6 - 5.5×10| = |180 - 55| = 125°.

Question 27

Aptitude (Reasoning) · 1 marks · −0.25

What is the mirror image of the word "AMBULANCE" when a mirror is placed vertically to its right?

  1. A.ECNALUBMA
  2. B.ƎƆИA⅃UBMA
  3. C.ƎƆИAꓶUꓭMA
  4. D.ECNALUBMA (reversed)

Correct answer: A

Explanation: When a vertical mirror is placed to the right of a word, the mirror image appears as the word read from right to left — i.e., the letters are reversed in order. AMBULANCE reversed = ECNALUBMA.

Question 28

Aptitude (Reasoning) · 1 marks · −0.25

If the time shown in a clock is 3:15 and you view it through a mirror, what time does it appear to show?

  1. A.8:45
  2. B.9:45
  3. C.8:15
  4. D.9:15

Correct answer: A

Explanation: To find the mirror image time, subtract the actual time from 12:00 (for times before 11:59). But the simpler rule: subtract from 11:60. 11:60 - 3:15 = 8:45.

Question 29

Aptitude (Reasoning) · 1 marks · −0.25

What is the mirror image of the number 3518 when a mirror is placed vertically to its right?

  1. A.8153
  2. B.8135
  3. C.8153
  4. D.5318

Correct answer: A

Explanation: In a vertical mirror placed to the right, digits reverse in order. 3518 becomes 8153. Digits like 3 also laterally invert, but in terms of the number reading, the answer is 8153.

Question 30

Aptitude (Reasoning) · 1 marks · −0.25

If a clock shows 7:25, what time will appear in its mirror image?

  1. A.4:35
  2. B.5:35
  3. C.4:25
  4. D.5:25

Correct answer: A

Explanation: Mirror image time = 11:60 - actual time = 11:60 - 7:25 = 4:35.

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