Logical Problems Questions and Answers

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Q1
If all roses are flowers and some flowers fade quickly, which conclusion must be true?
  • A All roses fade quickly
  • B Some roses may fade quickly
  • C No roses fade quickly
  • D All flowers are roses
Answer: Option B
Explanation: This is a classic syllogism. If all roses are flowers, and some flowers fade quickly, then it must be true that some roses may fade quickly since roses are a subset of flowers.
Q2
A man is facing north. He turns 90 degrees clockwise, then 135 degrees anti-clockwise. Which direction is he facing now?
  • A North-East
  • B North-West
  • C South-East
  • D South-West
Answer: Option B
Explanation: Starting from north: 90° clockwise = east. From east: 135° anti-clockwise = east to north-east (45°), to north (90°), to north-west (135°). So he faces north-west.
Q3
If CODE is written as DPEH, how is WORD written?
  • A XPSE
  • B XPSD
  • C XQSE
  • D YPSD
Answer: Option A
Explanation: Each letter moves one position forward: C→D, O→P, D→E, E→H. Similarly, W→X, O→P, R→S, D→E = XPSE.
Q4
In a row of trees, a tree is 7th from left end and 14th from right end. How many trees are there in the row?
  • A 19
  • B 20
  • C 21
  • D 22
Answer: Option B
Explanation: Position from left + Position from right - 1 = Total trees. So 7 + 14 - 1 = 20 trees.
Q5
If A is brother of B, B is sister of C, and C is father of D, how is A related to D?
  • A Father
  • B Uncle
  • C Brother
  • D Grandfather
Answer: Option B
Explanation: A is brother of B, B is sister of C, so A and C are siblings. C is father of D, so A is uncle of D.
Q6
Find the odd one out: 8, 27, 64, 100, 125, 216
  • A 27
  • B 64
  • C 100
  • D 125
Answer: Option C
Explanation: All numbers are perfect cubes except 100. 8=2³, 27=3³, 64=4³, 125=5³, 216=6³, but 100 is not a perfect cube.
Q7
Complete the series: 2, 6, 12, 20, 30, ?
  • A 38
  • B 40
  • C 42
  • D 44
Answer: Option C
Explanation: Pattern: +4, +6, +8, +10, +12. So 30 + 12 = 42.
Q8
If PALE is coded as 2134, EARTH is coded as 41590, how is PEARL coded?
  • A 24153
  • B 24135
  • C 24315
  • D 24351
Answer: Option A
Explanation: P=2, A=1, L=3, E=4, R=5, T=9, H=0. So PEARL = 2(P) + 4(E) + 1(A) + 5(R) + 3(L) = 24153
Q9
A clock shows 3:15. What is the angle between hour and minute hands?
  • A
  • B 7.5°
  • C 15°
  • D 30°
Answer: Option B
Explanation: At 3:15, minute hand at 3 (90°), hour hand at 3 + 15/60*30° = 3.25 hours = 97.5°. Difference = 97.5° - 90° = 7.5°
Q10
If RED is coded as 672, BLUE is coded as 9725, how is GREEN coded?
  • A 66772
  • B 67762
  • C 67672
  • D 66727
Answer: Option A
Explanation: R=18(1+8=9), E=5, D=4(6+7+2=15). Actually pattern: R=18, E=5, D=4 → 1854? Wait, check: 672=6+7+2=15, 9725=9+7+2+5=23. Better approach: R=18, E=5, D=4 → 1854 but given 672. Let me reconsider: R=6, E=7, D=2? Actually position: R=18→1+8=9-3=6, E=5+2=7, D=4-2=2. So G=7→7-1=6, R=18→1+8=9-3=6, E=5+2=7, E=5+2=7, N=14→1+4=5-3=2 → 66772
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