Christ University Entrance Exam Mock Test Sample Paper

Christ University Entrance Exam Mock Test Sample Paper

CUET/CUEE Paper Pattern

  • Quantitative Ability: 50 Qs – Arithmetic, Algebra, Geometry, Mensuration, Ratio, CI/SI
  • Logical Reasoning & DI: 30 Qs – Syllogisms, Blood Relations, Directions, Puzzles, Charts/Tables
  • English / Verbal Ability: 20 Qs – Reading Comprehension, Vocabulary, Grammar, Sentence Completion
  • Total: 100 Qs | Time: 120 min | Marks per Q: 1 |

Q1–10: Arithmetic / Number Sense

Q1. A sum doubles in 6 years at simple interest. In how many years will it become 3 times?
A. 12
B. 15
C. 18
D. 20

Q2. Two numbers are in ratio 9:16. If HCF = 5, numbers are:
A. 45, 80
B. 50, 90
C. 40, 70
D. 35, 60

Q3. Shopkeeper buys an item at ₹250, marks 20% above cost. If discount = 10%, profit = ?
A. ₹25
B. ₹30
C. ₹35
D. ₹40

Q4. Solve: 4x+2+3x−1=1\frac{4}{x+2} + \frac{3}{x-1} = 1x+24​+x−13​=1
A. 3
B. 2
C. 1
D. 4

Q5. A sum of ₹8000 lent at CI 10% p.a. Amount after 2 yrs = ?
A. ₹9680
B. ₹8800
C. ₹9000
D. ₹9600

Q6. Difference between squares of two numbers = 119. Sum = 17. Numbers = ?
A. 12, 5
B. 14, 3
C. 13, 4
D. 15, 2

Q7. A train passes a platform 300 m long in 30 sec at 72 km/h. Find length of train.
A. 300 m
B. 320 m
C. 350 m
D. 360 m

Q8. A sum triples in 4 years at CI. Annual rate = ?
A. 25%
B. 30%
C. 28%
D. 27%

Q9. If (x−5)(x+4)=24(x-5)(x+4)=24(x−5)(x+4)=24, x = ?
A. 6
B. 7
C. 5
D. 4

Q10. Bag has 5 red, 6 green, 9 blue balls. Probability of drawing 1 red & 1 blue = ?
A. 5/20
B. 1/6
C. 5/24
D. 1/5

Q11–20: Algebra / Percentages / Ratio

Q11. Solve x2–11x+28=0x^2 – 11x + 28 = 0x2–11x+28=0
A. 4, 7
B. 1, 28
C. 2, 14
D. 3, 8

Q12. Number increased by 25%, then decreased by 20%. Net % change = ?
A. +0%
B. +5%
C. -5%
D. +10%

Q13. Sum of 3 numbers = 150. First = twice second, third = 10 more than first. Numbers?
A. 60, 30, 70
B. 50, 25, 70
C. 60, 30, 80
D. 55, 27.5, 80

Q14. Average of 12 numbers = 50. One number = 62. Average of remaining = ?
A. 48
B. 49
C. 50
D. 51

Q15. 4x + 5y = 100, x + y = 25. Find x.
A. 5
B. 10
C. 15
D. 20

Q16. Price of an item marked 40% above cost. Discount 25%. Profit % = ?
A. 5%
B. 10%
C. 15%
D. 8%

Q17. ₹9000 divided among A:B:C = 3:2:4. B’s share = ?
A. ₹2000
B. ₹2250
C. ₹2500
D. ₹3000

Q18. SI on sum for 4 yrs at 6% p.a. = ₹480. Principal = ?
A. ₹2000
B. ₹1800
C. ₹1500
D. ₹1600

Q19. Number decreased by 15%, then increased by 20%. Net % change = ?
A. +2%
B. +3%
C. -2%
D. -3%

Q20. A can do a job in 15 days, B in 20 days. Fraction of work together in 1 day = ?
A. 7/60
B. 1/12
C. 7/75
D. 1/15

Q21–30: Geometry / Mensuration / Speed-Time

Q21. Area of triangle with sides 13, 14, 15 = ?
A. 84
B. 90
C. 78
D. 80

Q22. Two concentric circles: radii 14 cm & 7 cm. Area of ring = ? (π=22/7\pi = 22/7π=22/7)
A. 462 cm²
B. 308 cm²
C. 154 cm²
D. 210 cm²

Q23. Volume of cone: r = 7 cm, h = 24 cm (π=22/7\pi = 22/7π=22/7)
A. 1232 cm³
B. 1540 cm³
C. 1848 cm³
D. 1230 cm³

Q24. Cylinder: r = 7 cm, h = 15 cm. Volume = ? (π=22/7\pi = 22/7π=22/7)
A. 2310 cm³
B. 2205 cm³
C. 2450 cm³
D. 2500 cm³

Q25. Perimeter of triangle with sides 13, 14, 15 = ?
A. 42
B. 40
C. 43
D. 45

Q26. Cuboid: l = 12 cm, b = 8 cm, volume = 864 cm³. Height = ?
A. 9 cm
B. 8 cm
C. 12 cm
D. 6 cm

Q27. Cube: diagonal = 10√3 cm. Side = ?
A. 10
B. 8
C. 12
D. 9

Q28. Trapezium: bases 10, 14, height 6. Area = ?
A. 72
B. 60
C. 80
D. 84

Q29. Surface area of sphere: r = 7 cm (π=22/7\pi = 22/7π=22/7)
A. 616 cm²
B. 554 cm²
C. 462 cm²
D. 498 cm²

Q30. Volume of sphere: r = 7 cm (π=22/7\pi = 22/7π=22/7)
A. 1436 cm³
B. 1540 cm³
C. 1232 cm³
D. 1000 cm³

Q31–40: Advanced Algebra / Ratio / Work & Time

Q31. Ratio of boys:girls = 7:5. Boys = 840. Total students = ?
A. 1200
B. 1500
C. 1400
D. 1600

Q32. Bag: 8 red, 7 blue, 5 green balls. Two drawn without replacement. Probability both blue = ?
A. 7/95
B. 7/38
C. 7/30
D. 7/60

Q33. Average marks of 8 students = 75. Two new students score 80 & 90. New average = ?
A. 78
B. 76.5
C. 77.5
D. 79

Q34. x:y = 5:7, x + y = 96. Find y.
A. 56
B. 60
C. 64
D. 48

Q35. ₹7200 divided among A:B:C = 2:3:4. C’s share = ?
A. ₹4000
B. ₹3600
C. ₹4500
D. ₹5000

Q36. A, B, C can do a job in 12, 15, 20 days. Work done in 1 day = ?
A. 1/5
B. 3/20
C. 1/6
D. 7/60

Q37. Pipe A fills tank in 20h, B empties in 30h. Both open, time to fill tank = ?
A. 12 h
B. 10 h
C. 15 h
D. 25 h

Q38. Two numbers in ratio 9:16, HCF = 5. Numbers = ?
A. 45, 80
B. 40, 75
C. 35, 64
D. 30, 50

Q39. CI: sum = ₹17496 in 2 years at 8% p.a. Principal = ?
A. ₹15000
B. ₹16000
C. ₹14000
D. ₹14500

Q40. A:B investment ratio = 5:3. Profit = ₹6400. A’s share = ?
A. ₹4000
B. ₹3000
C. ₹3500
D. ₹3600

Q41–50: Word Problems / Trains / Advanced Arithmetic

Q41. Cistern: fill A = 12h, empty B = 16h. Both open, time = ?
A. 48/7 h
B. 24/5 h
C. 12/5 h
D. 16/7 h

Q42. Sum triples in 5 years at CI. Rate = ?
A. 25.99%
B. 24%
C. 26%
D. 27%

Q43. Two trains: 60 km/h & 80 km/h start together. Distance apart after 3h?
A. 60 km
B. 66 km
C. 70 km
D. 75 km

Q44. Ages: A:B = 5:7. After 5 years, ratio = 6:8. B’s present age = ?
A. 35
B. 28
C. 30
D. 32

Q45. CI: Amount after 2 yrs = 1320, after 3 yrs = 1452. Rate = ?
A. 10%
B. 12%
C. 15%
D. 8%

Q46. Box: 6 red, 5 green, 4 blue balls. Two drawn randomly. Probability different colors?
A. 67/91
B. 65/91
C. 70/91
D. 60/91

Q47. SI: ₹3000 at 5% for n yrs = ₹750 interest. n = ?
A. 5
B. 4
C. 6
D. 3

Q48. Train distance problem: speed x, time 5h. If speed +10 km/h, time – 0.5h. Find x.
A. 60
B. 50
C. 40
D. 45

Q49. Sum of squares = 290. One number = 7. Other = ?
A. 17
B. 13
C. 15
D. 11

Q50. Job: A=8d, B=12d. Both start, A leaves after 4d. Total time = ?
A. 8
B. 9
C. 10
D. 7

Q51–60: Logical Reasoning – Syllogisms / Assumptions / Statements

Q51. Statement: “All cats are animals. Some animals are dogs.”
Conclusion?
A. All cats are dogs
B. Some cats are dogs
C. No cat is dog
D. No conclusion

Q52. Statement: “If it rains, picnic will be cancelled. Picnic was not cancelled.”
Conclusion?
A. It rained
B. It did not rain
C. Picnic was postponed
D. No conclusion

Q53. Statement: “All students who study hard succeed. Raj studies hard.”
Conclusion?
A. Raj will succeed
B. Raj may fail
C. Raj is lucky
D. No conclusion

Q54. Statement: “Some trees are mango trees. All mango trees bear fruit.”
Conclusion?
A. Some trees bear fruit
B. All trees bear fruit
C. All mango trees are trees
D. Cannot conclude

Q55. Statement: “Only fruits have seeds. Apple has seeds.”
Conclusion?
A. Apple is fruit
B. Apple may not be fruit
C. Apple is vegetable
D. No conclusion

Q56. Statement: “No mobile phone is cheap. Some cheap items are toys.”
Conclusion?
A. Some toys are not mobile phones
B. All toys are expensive
C. Some cheap items are mobile phones
D. Cannot conclude

Q57. Statement: “All managers are employees. Some employees are punctual.”
Conclusion?
A. Some managers are punctual
B. All managers are punctual
C. No manager is punctual
D. Cannot be determined

Q58. Statement: “If a student scores above 90, he gets scholarship. Anand got scholarship.”
Conclusion?
A. Anand scored above 90
B. Anand may have scored below 90
C. Anand is intelligent
D. Cannot conclude

Q59. Statement: “Some cars are electric. All electric devices consume less energy.”
Conclusion?
A. Some cars consume less energy
B. All cars consume less energy
C. Some cars do not consume less energy
D. Cannot conclude

Q60. Statement: “Every law requires approval from parliament. This law is approved.”
Conclusion?
A. This is a law
B. This may not be a law
C. Parliament approved a law
D. Cannot conclude

Q61–70: Blood Relations / Directions / Seating Arrangement

Q61. Rahul says: “He is son of my mother’s only brother.” The man is Rahul’s:
A. Cousin
B. Nephew
C. Uncle
D. Brother

Q62. A is 10 m east of B. C is 15 m north of B. Distance between A and C = ?
A. 18 m
B. 15 m
C. 17 m
D. 20 m

Q63. If A + B means A is father of B, A × B means A is mother of B, A – B means A is brother of B. If P + Q × R, Q is ?
A. Father
B. Mother
C. Sister
D. Cannot tell

Q64. A is south of B. C is west of B. D is north of C. Direction of D from A?
A. Northwest
B. Northeast
C. Southwest
D. Southeast

Q65. P is brother of Q. R is son of Q. S is daughter of P. How is R related to S?
A. Cousin
B. Brother
C. Uncle
D. Nephew

Q66. A’s mother = B, B’s mother = C, C’s father = D. D related to A?
A. Grandfather
B. Father
C. Great-grandfather
D. Uncle

Q67. A starts from P, walks 5 km north, then 3 km east. Distance from start = ?
A. 4 km
B. √34 km
C. √25 km
D. 8 km

Q68. Some pens are pencils, all pencils are erasers. True statement?
A. Some pens are erasers
B. All pens are erasers
C. No pen is eraser
D. Cannot conclude

Q69. Five friends sit in a row: P left of Q, R right of S, T extreme left. Who sits middle?
A. Q
B. P
C. R
D. S

Q70. No computer is slow. Some devices are slow. Which is true?
A. No computer is a device
B. Some devices are not computers
C. All devices are computers
D. Cannot conclude

Q71–80: Data Interpretation / Logical Puzzles

Q71. Table: Students passing Maths – 30, Science – 25, Both – 10. Students passing only one subject = ?
A. 35
B. 30
C. 25
D. 40

Q72. Bar chart: Factories F1–F4 produce 120, 150, 180, 200 units. Factory producing 25% of total?
A. F1
B. F2
C. F3
D. F4

Q73. Pie chart: Rent – 30%, Food – 25%, Transport – 15%, Others – 30%. Total expenditure = ₹60,000. Food = ?
A. ₹15,000
B. ₹12,000
C. ₹18,000
D. ₹14,000

Q74. Five friends race: D before B but after C, E last. Who is second?
A. B
B. D
C. C
D. A

Q75. A survey: 120 students. Football – 40, Cricket – 50, Hockey – 30. Probability randomly chosen student likes Hockey?
A. 1/4
B. 1/3
C. 1/2
D. 1/5

Q76. Logic puzzle: P, Q, R, S, T live on 5 floors. T – 5th, P left of Q, R below S. Who is on 3rd floor?
A. P
B. Q
C. R
D. S

Q77. CI problem: Amount after 2 yrs = ₹1320, after 3 yrs = ₹1452. Rate = ?
A. 10%
B. 12%
C. 15%
D. 8%

Q78. A train travels at x km/h for 5 h. Speed +10 km/h, time – 0.5 h. Find x.
A. 60
B. 50
C. 40
D. 45

Q79. Bag: 6 red, 5 green, 4 blue balls. Two drawn randomly. Probability both different colors?
A. 67/91
B. 65/91
C. 70/91
D. 60/91

Q80. Job: A = 8d, B = 12d. Both start, A leaves after 4d. Total days = ?
A. 8
B. 9
C. 10
D. 7

Q81–85: Reading Comprehension

Passage:
“Artificial Intelligence (AI) is transforming industries globally. While AI improves efficiency, it raises ethical concerns such as job displacement and data privacy. Effective regulation and ethical frameworks are crucial to balance innovation with societal welfare.”

Q81. The main idea of the passage is:
A. AI creates jobs
B. AI affects industries and raises ethical concerns
C. AI is dangerous
D. AI has no impact

Q82. Which of the following is mentioned as an ethical concern?
A. Environmental pollution
B. Job displacement
C. High cost
D. None

Q83. Which action is suggested to manage AI impact?
A. Ignoring ethical issues
B. Strong regulation and frameworks
C. Rapid automation
D. Reducing efficiency

Q84. The word “displacement” in the passage most nearly means:
A. Promotion
B. Replacement
C. Enhancement
D. Expansion

Q85. The tone of the passage is:
A. Informative and cautionary
B. Humorous
C. Narrative
D. Persuasive fiction

Q86–90: Vocabulary

Q86. Synonym of “ubiquitous”:
A. Rare
B. Omnipresent
C. Unique
D. Hidden

Q87. Antonym of “opaque”:
A. Transparent
B. Cloudy
C. Dark
D. Dense

Q88. Fill in the blank: She has an ____ ability to solve complex problems.
A. Innate
B. Acquired
C. Mediocre
D. Random

Q89. Synonym of “transient”:
A. Permanent
B. Short-lived
C. Endless
D. Continuous

Q90. Fill in the blank: The results were ____ to expectations.
A. Contrary
B. Similar
C. Equal
D. Proximate

Q91–95: Grammar

Q91. Correct sentence:
A. She don’t like chocolate.
B. She doesn’t likes chocolate.
C. She doesn’t like chocolate.
D. She not likes chocolate.

Q92. Identify error: “Neither of the boys were ready for the exam.”
A. Neither
B. of the boys
C. were
D. ready

Q93. Fill in: I wish I ____ more time yesterday.
A. have
B. had
C. has
D. having

Q94. Correct: “He suggested me to go early.”
A. Suggested me to go
B. Suggested I go
C. Suggested that I goes
D. Suggested going

Q95. Choose correct:
A. She is more taller than me.
B. She is taller than me.
C. She is tallest than me.
D. She is the most tall than me.

Q96–100: Verbal Reasoning / Sentence Completion

Q96. Complete: “Despite heavy traffic, …”
A. he reached office on time
B. he stayed home
C. he missed the bus
D. office was closed

Q97. Odd one out:
A. Rose
B. Jasmine
C. Lily
D. Mango

Q98. Correct idiom usage:
A. He spilled the beans about the secret.
B. He spilled the water about the secret.
C. He spilled the milk about the secret.
D. He spilled the soup about the secret.

Q99. Fill: Her problem-solving is both ____ and creative.
A. Analytical
B. Random
C. Careless
D. Confused

Q100. Correct sentence: “John wanted a new phone, however, he didn’t have enough money.”
A. but he didn’t have enough money
B. so he didn’t have enough money
C. and he didn’t have enough money
D. because he didn’t have enough money

Disclaimer:
This sample paper is for educational and practice purposes only. It is not the official Christ University Entrance Exam paper. Questions are PYQ-inspired to help aspirants prepare effectively.

Q.NoAnswerQ.NoAnswerQ.NoAnswer
1B34A67B
2A35B68A
3B36C69C
4A37B70B
5A38A71A
6C39A72B
7C40A73B
8B41A74D
9B42A75B
10C43D76A
11A44B77A
12B45A78B
13A46A79B
14B47A80B
15B48A81B
16B49C82B
17C50A83B
18A51D84B
19C52B85A
20A53A86B
21A54A87A
22B55A88A
23B56A89A
24A57D90A
25A58B91C
26A59A92C
27A60A93B
28A61A94B
29A62C95B
30A63B96A
31A64A97D
32B65A98A
33C66C99A
––67B100A