AP ICET Practice Set 1

AP ICET · 2026 · with answers and explanations

questions
30
Total marks
30
Duration
150 minutes
Negative marking
No

Subjects: Aptitude (Reasoning) · Mathematics · English

Question 1

Aptitude (Reasoning) · 1 marks

What is the value of x? Statement: x + 5 = 12.

  1. A.Statement alone is sufficient
  2. B.Statement alone is not sufficient
  3. C.Data inadequate even with more information
  4. D.Statement is contradictory

Correct answer: A

Explanation: The single equation x + 5 = 12 gives x = 7 directly, so the statement alone is sufficient.

Question 2

Aptitude (Reasoning) · 1 marks

Is x > y? Statement I: x = y + 3. Statement II: y is positive.

  1. A.Statement I alone is sufficient
  2. B.Statement II alone is sufficient
  3. C.Both statements together are needed
  4. D.Neither statement is sufficient

Correct answer: A

Explanation: Statement I alone shows x is always 3 more than y, so x > y regardless of sign. Statement II alone does not establish any relation between x and y.

Question 3

Aptitude (Reasoning) · 1 marks

What is the value of a + b? Statement I: a − b = 4. Statement II: ab = 12.

  1. A.Statement I alone is sufficient
  2. B.Statement II alone is sufficient
  3. C.Both statements together are still not sufficient
  4. D.Both statements together are sufficient

Correct answer: C

Explanation: The two equations together give a quadratic with two valid solution pairs, (6,2) and (−2,−6), yielding a+b = 8 or −8, so the value cannot be uniquely determined even with both statements.

Question 4

Aptitude (Reasoning) · 1 marks

What is the area of a rectangle? Statement I: The perimeter is 20 cm. Statement II: The length is 6 cm.

  1. A.Statement I alone is sufficient
  2. B.Statement II alone is sufficient
  3. C.Both statements together are sufficient
  4. D.Neither statement is sufficient even together

Correct answer: C

Explanation: Perimeter = 20 gives length + width = 10. Combined with length = 6, width = 4, so area = 6 × 4 = 24 sq cm. Both statements are needed together.

Question 5

Aptitude (Reasoning) · 1 marks

Find the missing number: 2, 4, 8, 16, __, 64

  1. A.24
  2. B.32
  3. C.30
  4. D.48

Correct answer: B

Explanation: This is a geometric sequence where each term doubles: 16 × 2 = 32.

Question 6

Aptitude (Reasoning) · 1 marks

If 'FLOWER' is coded as 'GMPXFS', how is 'GARDEN' coded?

  1. A.HBSEFO
  2. B.HBSEFP
  3. C.HBSFEO
  4. D.GBSEFO

Correct answer: A

Explanation: Each letter is shifted forward by one: G→H, A→B, R→S, D→E, E→F, N→O, giving HBSEFO.

Question 7

Aptitude (Reasoning) · 1 marks

A pie chart shows monthly expenses: Rent 40%, Food 25%, Transport 15%, Others 20%. If the total monthly expense is ₹40,000, how much is spent on Food?

  1. A.₹8,000
  2. B.₹10,000
  3. C.₹12,000
  4. D.₹9,000

Correct answer: B

Explanation: 25% of ₹40,000 = ₹10,000.

Question 8

Aptitude (Reasoning) · 1 marks

Find the next term in the series: A, C, F, J, O, ?

  1. A.T
  2. B.U
  3. C.V
  4. D.S

Correct answer: B

Explanation: The gaps between letters increase by 1 each time (+2, +3, +4, +5, +6): A(1), C(3), F(6), J(10), O(15), next = 15+6 = 21 = U.

Question 9

Aptitude (Reasoning) · 1 marks

Walking 10 km south, then 10 km east, then 10 km north, a man reaches point B from starting point A. In which direction is B from A?

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

Correct answer: B

Explanation: The south and north movements of 10 km each cancel out, leaving only the 10 km eastward movement, so B is due east of A.

Question 10

Aptitude (Reasoning) · 1 marks

At what time between 3 and 4 o'clock will the hands of a clock be exactly opposite each other?

  1. A.3:49 1/11
  2. B.3:45
  3. C.3:40 4/11
  4. D.3:50 2/11

Correct answer: A

Explanation: At 3:m, the hour hand is at (90 + 0.5m)° and the minute hand is at 6m°. For them to be opposite (180° apart): 6m − (90+0.5m) = 180 ⟹ 5.5m = 270 ⟹ m = 49 1/11 minutes, so the time is 3:49 1/11.

Question 11

Mathematics · 1 marks

Simplify: 15 + 3 × (8 − 2) ÷ 2

  1. A.24
  2. B.33
  3. C.27
  4. D.20

Correct answer: A

Explanation: Following BODMAS: (8−2)=6, 3×6=18, 18÷2=9, 15+9=24.

Question 12

Mathematics · 1 marks

If a:b = 3:4 and b:c = 4:5, what is a:c?

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

Correct answer: A

Explanation: Since the value of b matches in both ratios, a:b:c = 3:4:5, so a:c = 3:5.

Question 13

Mathematics · 1 marks

A shopkeeper marks an item 20% above cost price and then gives a 10% discount. What is his profit percentage?

  1. A.10%
  2. B.8%
  3. C.12%
  4. D.6%

Correct answer: B

Explanation: Let CP = 100. Marked price = 120. Selling price after 10% discount = 120 × 0.9 = 108. Profit = 8%.

Question 14

Mathematics · 1 marks

Find the compound interest on ₹10,000 for 2 years at 10% per annum, compounded annually.

  1. A.₹2,000
  2. B.₹2,100
  3. C.₹2,200
  4. D.₹1,900

Correct answer: B

Explanation: A = 10000 × (1.1)² = 10000 × 1.21 = 12,100. CI = 12,100 − 10,000 = 2,100.

Question 15

Mathematics · 1 marks

A can complete a piece of work in 10 days and B in 15 days. Working together, how many days will they take to complete it?

  1. A.5
  2. B.6
  3. C.7
  4. D.8

Correct answer: B

Explanation: Combined rate = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6, so together they take 6 days.

Question 16

Mathematics · 1 marks

The average of 5 numbers is 20. If one number is excluded, the average of the remaining numbers becomes 18. What is the excluded number?

  1. A.26
  2. B.28
  3. C.24
  4. D.30

Correct answer: B

Explanation: Sum of 5 numbers = 100. Sum of remaining 4 numbers = 18 × 4 = 72. Excluded number = 100 − 72 = 28.

Question 17

Mathematics · 1 marks

Solve for x: 2x + 3 = 15

  1. A.5
  2. B.6
  3. C.7
  4. D.4

Correct answer: B

Explanation: 2x = 15 − 3 = 12, so x = 6.

Question 18

Mathematics · 1 marks

In a triangle, two angles measure 50° and 60°. What is the measure of the third angle?

  1. A.60°
  2. B.70°
  3. C.80°
  4. D.90°

Correct answer: B

Explanation: The angles of a triangle sum to 180°. Third angle = 180 − 50 − 60 = 70°.

Question 19

Mathematics · 1 marks

What is the volume of a cube with side length 4 cm?

  1. A.16 cm³
  2. B.48 cm³
  3. C.64 cm³
  4. D.32 cm³

Correct answer: C

Explanation: Volume of a cube = side³ = 4³ = 64 cm³.

Question 20

Mathematics · 1 marks

Find the distance between the points (3, 4) and (7, 1).

  1. A.5
  2. B.7
  3. C.6
  4. D.4

Correct answer: A

Explanation: Distance = √[(7−3)² + (1−4)²] = √(16+9) = √25 = 5.

Question 21

Mathematics · 1 marks

If sin θ = 3/5 and θ is acute, what is cos θ?

  1. A.4/5
  2. B.3/4
  3. C.5/4
  4. D.5/3

Correct answer: A

Explanation: Using the 3-4-5 right triangle, if sin θ = 3/5, then cos θ = 4/5.

Question 22

Mathematics · 1 marks

Two dice are rolled together. What is the probability that the sum of the numbers shown is 7?

  1. A.1/6
  2. B.1/12
  3. C.1/9
  4. D.1/8

Correct answer: A

Explanation: Favorable outcomes summing to 7: (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) = 6 outcomes out of 36 total. P = 6/36 = 1/6.

Question 23

English · 1 marks

Choose the synonym of "Benevolent":

  1. A.Cruel
  2. B.Kind
  3. C.Indifferent
  4. D.Arrogant

Correct answer: B

Explanation: Benevolent means kind and generous.

Question 24

English · 1 marks

Change to passive voice: "The manager approved the proposal."

  1. A.The proposal was approved by the manager.
  2. B.The proposal is approved by the manager.
  3. C.The manager was approved by the proposal.
  4. D.The proposal has approved the manager.

Correct answer: A

Explanation: In the passive voice, the object becomes the subject: "The proposal was approved by the manager."

Question 25

English · 1 marks

Choose the correct one-word substitute for "A person who can speak two languages":

  1. A.Linguist
  2. B.Bilingual
  3. C.Polyglot
  4. D.Translator

Correct answer: B

Explanation: Bilingual specifically means able to speak two languages; polyglot refers to someone who speaks many languages.

Question 26

English · 1 marks

In business terminology, "ROI" stands for:

  1. A.Rate of Interest
  2. B.Return on Investment
  3. C.Record of Income
  4. D.Revenue over Income

Correct answer: B

Explanation: ROI stands for Return on Investment, a standard measure of investment profitability.

Question 27

English · 1 marks

Read the passage: "Effective time management involves prioritizing tasks based on urgency and importance rather than simply working on whatever arrives first." According to the passage, effective time management is based on:

  1. A.Working on tasks in the order they arrive
  2. B.Prioritizing tasks by urgency and importance
  3. C.Delegating all tasks to others
  4. D.Avoiding deadlines

Correct answer: B

Explanation: The passage states that effective time management prioritizes tasks by urgency and importance.

Question 28

English · 1 marks

Identify the error: "Each of the employees are required to submit their report by Friday."

  1. A."Each" should be "All"
  2. B."are" should be "is"
  3. C."their" should be "his"
  4. D.No error

Correct answer: B

Explanation: "Each of" takes a singular verb, so "are" should be "is".

Question 29

English · 1 marks

Choose the sentence that best completes the paragraph: "Renewable energy adoption has accelerated worldwide. Solar panel costs have fallen by over 80% in the past decade. ___"

  1. A.This is unrelated to global energy trends.
  2. B.As a result, many countries now find solar power cheaper than coal.
  3. C.However, coal remains completely unused.
  4. D.Wind energy has no connection to this trend.

Correct answer: B

Explanation: The completing sentence should logically follow from the falling solar costs, describing the resulting consequence.

Question 30

English · 1 marks

Choose the antonym of "Genuine":

  1. A.Authentic
  2. B.Fake
  3. C.Sincere
  4. D.True

Correct answer: B

Explanation: Genuine means real or authentic; its opposite is fake.

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