
Logical and Analytical Reasoning for CUET-UG GAT 2026: Exam-Oriented 50 MCQs with Answers and Solutions
Introduction
Logical and Analytical Reasoning for CUET-UG GAT 2026: Exam-Oriented 50 MCQs plays a crucial role in the CUET-UG GAT 2026 examination. This section evaluates a candidate’s critical thinking ability, problem-solving skills, pattern recognition, and decision-making approach. Questions are commonly asked from coding-decoding, seating arrangements, blood relations, direction sense, syllogism, puzzles, and analytical patterns. Practicing high-level MCQs with solutions helps students improve accuracy, speed, and logical interpretation skills needed to score well in the exam.
Q1. Five friends P, Q, R, S and T are sitting in a row facing north.
P is to the immediate right of Q. R is to the immediate left of S. T is at one end. Q is not at an end. Who sits in the middle?
A) P
B) R
C) S
D) Q
Solution:
T at one end.
Q not at end and P immediately right of Q → (Q,P)
R immediately left of S → (R,S)
Arrangement:
T Q P R S
Middle = P
Answer: A) P
Q2. In a certain code:
MANGO → 51376415
APPLE → 11616125
Find GRAPE.
A) 71816165
B) 71816125
C) 71618165
D) 71815165
Solution:
Letter positions:
G=7
R=18
A=1
P=16
E=5
GRAPE:
7 18 1 16 5
Answer: A) 71816165
Q3. Statement:
All engineers are graduates.
Some graduates are managers.
Conclusions:
I. Some engineers are managers
II. Some managers are graduates
A) Only I
B) Only II
C) Both
D) Neither
Solution:
I: Cannot conclude
II: Some graduates are managers ⇒ Some managers are graduates
Answer: B
Q4. Find the missing term:
4, 9, 19, 39, 79, ?
A) 159
B) 149
C) 169
D) 179
Solution:
×2 +1
4→9
9→19
19→39
39→79
79×2+1=159
Answer: A
Q5. A man walks 20 m north, turns right, walks 30 m, turns right, walks 20 m. Position?
A) 30m East
B) 30m West
C) Starting point
D) 20m South
Solution:
North and south cancel.
30m East remains.
Answer: A
Q6. If SOUTH = TPVUI, then NORTH = ?
A) OPSUI
B) OPSUII
C) OPSUI
D) OPSUIF
Solution:
Each letter +1:
N→O
O→P
R→S
T→U
H→I
OPSUI
Answer: A
Q7. Six persons shake hands once. Number of handshakes?
A) 12
B) 15
C) 18
D) 20
Solution:
n(n−1)/2
6×5/2
=15
Answer: B
Q8. Which number replaces ?
3, 8, 18, 38, 78, ?
A) 154
B) 158
C) 162
D) 168
Solution:
×2 +2
3→8
8→18
18→38
38→78
78×2+2=158
Answer: B
Q9. Pointing to a woman, Atul says:
“She is the daughter of my mother’s only son.”
Who is she?
A) Sister
B) Daughter
C) Mother
D) Wife
Solution:
Mother’s only son = Atul
Atul’s daughter
Answer: B
Q10. Find next:
2,5,11,23,47,?
A) 91
B) 95
C) 97
D) 99
Solution:
×2 +1
47×2+1
=95
Answer: B
Q11. Choose odd one:
A) 49
B) 81
C) 121
D) 144
Solution:
49=7²
81=9²
121=11²
Odd-number squares
144=12²
Answer: D
Q12. Complete:
A, D, H, M, S, ?
A) Z
B) Y
C) A
D) B
Solution:
+3,+4,+5,+6
Next +7
S→Z
Answer: A
Q13. Statement:
Some books are pens.
All pens are bags.
Conclusion:
Some books are bags.
A) True
B) False
C) Cannot conclude
D) Follows
Solution:
Books → Pens → Bags
Some books overlap with pens.
Hence some books are bags.
Answer: D
Q14. Mirror image of 9:20:
A) 2:40
B) 2:30
C) 3:40
D) 3:20
Solution:
11:60−9:20
=2:40
Answer: A
Q15. Find next:
1,8,27,64,125,?
A) 216
B) 225
C) 256
D) 343
Solution:
Cube numbers
6³=216
Answer: A
Q16. If CAT=24 and HEN=27 then FOX=?
A) 45
B) 46
C) 47
D) 49
Solution:
F=6
O=15
X=24
6+15+24=45
Answer: A
Q17. Find next:
11,22,44,88,?
A) 154
B) 166
C) 176
D) 188
Solution:
×2
88×2
176
Answer: C
Q18. Complete:
AZ, CX, EV, ?
A) GT
B) GS
C) HT
D) HU
Solution:
First +2
A,C,E,G
Second reverse:
Z,X,V,T
Answer:
GT
Answer: A
Q19. Find next:
6,18,54,162,?
A) 324
B) 486
C) 648
D) 972
Answer: B
Q20. Odd one:
A) Mars
B) Venus
C) Moon
D) Jupiter
Answer: C
Q21. Find:
7,14,28,56,?
A) 98
B)112
C)120
D)126
Answer: B
Q22. A faces north and turns 225° clockwise.
Direction?
A) South
B) South-West
C) West
D) East
Answer: B
Q23. Find next:
5,10,17,26,37,?
A)48
B)50
C)52
D)54
Answer: B
Q24. Find odd:
A) Lion
B) Tiger
C) Goat
D) Leopard
Answer: C
Q25. If EAST=FBTU then WEST?
A)XFTU
B)YFTU
C)XGTU
D)XFUV
Answer: A
Q26. Find next:
16,25,36,49,?
A)64
B)81
C)100
D)121
Answer: A
Q27. A taller than B, B taller than C, D taller than A
Tallest?
A)A
B)B
C)C
D)D
Answer: D
Q28. Find the next term:
3, 7, 15, 31, 63, ?
A) 95
B) 127
C) 111
D) 135
Solution:
Observe:
3×2+1 = 7
7×2+1 =15
15×2+1 =31
31×2+1 =63
Next:
63×2+1 =127
Answer: B) 127
Q29. Complete the series:
Z, W, S, N, H, ?
A) B
B) A
C) C
D) D
Solution:
Alphabet positions:
Z=26
W=23 (−3)
S=19 (−4)
N=14 (−5)
H=8 (−6)
Next: −7
8−7=1
1=A
Answer: B) A
Q30. If in a code language:
PAPER → QBQFS
Then SCHOOL → ?
A) TDIPPM
B) TDIPPM
C) TDJQPM
D) TDIPON
Solution:
Each letter shifts +1:
S→T
C→D
H→I
O→P
O→P
L→M
= TDIPPM
Answer: A
Q31. Statement:
All scientists are researchers.
Some researchers are writers.
Conclusion:
I. Some scientists are writers
II. Some writers are researchers
A) Only I
B) Only II
C) Both
D) Neither
Solution:
I → not definite
II → directly follows
Answer: B
Q32. A man walks 12 m north, then 5 m east, then 12 m south. Where is he?
A) 5 m East
B) 5 m West
C) Starting point
D) 12 m North
Solution:
North and south cancel.
Only east remains.
Answer: A
Q33. Find the odd one:
A) 64
B) 81
C) 121
D) 169
E) 196
Solution:
64=8²
81=9²
121=11²
169=13²
196=14²
Others are squares of odd/even pattern skipping 10,12.
196 breaks sequence.
Answer: E
Q34. If A=1, B=2 …
Find value of:
LOGIC
A) 49
B) 53
C) 57
D) 61
Solution:
L=12
O=15
G=7
I=9
C=3
Total:
12+15+7+9+3=46
Oops not listed; add position logic? Let’s correct options.
Correct Answer: 46
Q35. Pointing to a boy, Neera said:
“He is the son of my grandfather’s only daughter.”
Boy is Neera’s:
A) Brother
B) Son
C) Cousin
D) Uncle
Solution:
Grandfather’s only daughter = Neera’s mother
Mother’s son = Neera’s brother
Answer: A
Q36. Complete:
AB, EF, IJ, MN, ?
A) QR
B) ST
C) UV
D) WX
Solution:
Starting letters:
A(+4)E(+4)I(+4)M
Next=Q
Answer QR
Answer: A
Q37. Which number replaces ?
5, 11, 23, 47, ?
A) 93
B) 95
C) 97
D) 99
Solution:
×2 +1
5→11
11→23
23→47
47×2+1=95
Answer: B
Q38. Clock shows 5:30. Angle?
A) 15°
B) 30°
C) 45°
D) 75°
Solution:
Hour hand:
5×30=150
Additional:
30×0.5=15
Position=165°
Minute hand=180°
Difference:
15°
Answer: A
Q39. Find next:
4,9,19,39,79,?
A) 149
B) 159
C) 169
D) 189
Solution:
×2+1
79×2+1=159
Answer: B
Q40. Complete:
C,F,J,O,U,?
A) Y
B) Z
C) B
D) C
Solution:
Differences:
+3,+4,+5,+6
Next +7
U→B
Answer: C
