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Logical Reasoning MCQs — Quantitative Reasoning (page 2)

50 multiple-choice questions on Logical Reasoning from Quantitative Reasoning, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.

26. Sana is taller than Hina but shorter than Mariam. Mariam is shorter than Zara. Who is the tallest?

  1. Hina
  2. Mariam
  3. Zara
  4. Sana

Answer: C) Zara

Explanation: Hina < Sana < Mariam < Zara.

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27. In a code, BOOK is written as DQQM. How is PAGE written in that code?

  1. RCIG
  2. SDJH
  3. QBHF
  4. NYEC

Answer: A) RCIG

Explanation: Each letter moves 2 places forward in the alphabet: PAGE → RCIG.

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28. In a code, MILK is written as PLON. How is SALT written in that code?

  1. PXIQ
  2. VDOW
  3. UCNV
  4. WEPX

Answer: B) VDOW

Explanation: Each letter moves 3 places forward in the alphabet: SALT → VDOW.

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29. If today is Wednesday, what day of the week will it be after 365 days?

  1. Wednesday
  2. Friday
  3. Saturday
  4. Thursday

Answer: D) Thursday

Explanation: 365 = 7 52 + 1. Whole weeks don't change the day, so count 1 day on from Wednesday: Thursday.

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30. What is the smaller angle between the hour and minute hands at 2:20?

  1. 50°
  2. 310°
  3. 55°
  4. 60°

Answer: A) 50°

Explanation: Angle = 30H - 5.5M = 30 2 - 5.5 20 = 50°.

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31. In the English alphabet, which letter is 4th to the left of the 20th letter from the left?

  1. O
  2. X
  3. Q
  4. P

Answer: D) P

Explanation: The 20th letter from the left is T; moving 4 to the left gives P.

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32. Ahmed walks 2 km east, then 5 km north, then 2 km west, then 3 km north. How far is he from his starting point, and in which direction?

  1. 9 km North
  2. 12 km North
  3. 8 km North
  4. 8 km South

Answer: C) 8 km North

Explanation: Net east–west: 0 km, net north–south: 8 km. Distance = 0^2 + 8^2 = 8 km, towards the North.

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33. If today is Friday, what day of the week will it be after 100 days?

  1. Saturday
  2. Sunday
  3. Monday
  4. Tuesday

Answer: B) Sunday

Explanation: 100 = 7 14 + 2. Whole weeks don't change the day, so count 2 days on from Friday: Sunday.

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34. Pointing to a man, Ayesha says, “He is the son of my grandfather’s only son.” How is the man related to Ayesha?

  1. Brother
  2. Cousin
  3. Uncle
  4. Father

Answer: A) Brother

Explanation: Her grandfather's only son is her father; her father's son is her brother.

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35. Ahmed walks 4 km north, then 3 km east. How far is he from his starting point, and in which direction?

  1. 5 km South-West
  2. 5 km North-East
  3. 6 km North-East
  4. 7 km North-East

Answer: B) 5 km North-East

Explanation: Net east–west: 3 km, net north–south: 4 km. Distance = 3^2 + 4^2 = 5 km, towards the North-East.

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36. If today is Saturday, what day of the week will it be after 1000 days?

  1. Sunday
  2. Saturday
  3. Friday
  4. Thursday

Answer: C) Friday

Explanation: 1000 = 7 142 + 6. Whole weeks don't change the day, so count 6 days on from Saturday: Friday.

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37. If P is the husband of Q, and R is the daughter of Q, how is P related to R?

  1. Father
  2. Grandfather
  3. Uncle
  4. Brother

Answer: A) Father

Explanation: P is Q's husband and R is Q's daughter, so P is R's father.

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38. What is the smaller angle between the hour and minute hands at 10:10?

  1. 115°
  2. 245°
  3. 240°
  4. 120°

Answer: A) 115°

Explanation: Angle = 30H - 5.5M = 30 10 - 5.5 10 = 245°, and the smaller angle is 360° - 245° = 115°.

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39. In a row of students, Bilal is 11th from the front and 25th from the back. How many students are in the row?

  1. 34
  2. 37
  3. 35
  4. 36

Answer: C) 35

Explanation: Total = 11 + 25 - 1 = 35 (Bilal is counted twice).

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40. In the English alphabet, which letter is 3rd to the left of the 8th letter from the right?

  1. P
  2. O
  3. V
  4. Q

Answer: A) P

Explanation: The 8th letter from the right is S; moving 3 to the left gives P.

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41. Statements: All pens are pencils. Some pencils are erasers. Conclusion: Some pens are erasers. This conclusion:

  1. Definitely follows
  2. Is definitely false
  3. Does not necessarily follow
  4. Follows only if all erasers are pens

Answer: C) Does not necessarily follow

Explanation: The pencils that are erasers might not be pens at all, so we can't be sure.

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42. In a row of students, Bilal is 15th from the front and 20th from the back. How many students are in the row?

  1. 33
  2. 34
  3. 35
  4. 36

Answer: B) 34

Explanation: Total = 15 + 20 - 1 = 34 (Bilal is counted twice).

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43. In the English alphabet, which letter is 6th to the right of the 14th letter from the right?

  1. T
  2. R
  3. G
  4. S

Answer: D) S

Explanation: The 14th letter from the right is M; moving 6 to the right gives S.

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44. What is the smaller angle between the hour and minute hands at 9:00?

  1. 90°
  2. 270°
  3. 95°
  4. 91°

Answer: A) 90°

Explanation: Angle = 30H - 5.5M = 30 9 - 5.5 0 = 270°, and the smaller angle is 360° - 270° = 90°.

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45. In a row of students, Bilal is 18th from the front and 18th from the back. How many students are in the row?

  1. 35
  2. 36
  3. 37
  4. 34

Answer: A) 35

Explanation: Total = 18 + 18 - 1 = 35 (Bilal is counted twice).

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46. If SKY is coded as HPB, then SEA is coded as:

  1. IWA
  2. HVZ
  3. ZVH
  4. TFB

Answer: B) HVZ

Explanation: Each letter is replaced by its mirror in the alphabet (A↔Z, B↔Y, C↔X…). So SEA → HVZ.

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47. A is the brother of B. B is the sister of C. C is the father of D. How is A related to D?

  1. Father
  2. Grandfather
  3. Uncle
  4. Brother

Answer: C) Uncle

Explanation: A, B and C are siblings; C is D's father, so A (male) is D's uncle.

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48. Kamran's mother is the only daughter of Rashid's father. How is Rashid related to Kamran?

  1. Father
  2. Brother
  3. Maternal uncle
  4. Grandfather

Answer: C) Maternal uncle

Explanation: The only daughter of Rashid's father is Rashid's sister — Kamran's mother. So Rashid is Kamran's maternal uncle (mamoo).

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49. In a row of students, Bilal is 7th from the front and 12th from the back. How many students are in the row?

  1. 18
  2. 20
  3. 19
  4. 17

Answer: A) 18

Explanation: Total = 7 + 12 - 1 = 18 (Bilal is counted twice).

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50. If 1 January of a non-leap year is a Monday, what day is 1 January of the next year?

  1. Sunday
  2. Monday
  3. Tuesday
  4. Wednesday

Answer: C) Tuesday

Explanation: A non-leap year has 365 days = 52 weeks + 1 day, so the day moves on by one.

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