Aptitude: 35 MCQs with answers

All 35 multiple-choice questions from this kit, free and with no sign-up.

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Warm-up · 28 questions

Q1. If a train travels 240 km in 3 hours, what is its average speed?

Beginner

A 70 km/h B 90 km/h C 60 km/h D 80 km/h

Show answer & explanation

80 km/h

Average speed = total distance / total time = 240 km / 3 h = 80 km/h.

Q2. A shopkeeper marks an item at ₹500 and gives a 20% discount. What is the selling price?

Beginner

A ₹450 B ₹380 C ₹400 D ₹420

Show answer & explanation

₹400

Discount = 20% of ₹500 = ₹100. Selling price = ₹500 − ₹100 = ₹400.

Q3. If 3x + 5 = 20, what is the value of x?

Beginner

A 7 B 5 C 3 D 15

Show answer & explanation

3x = 20 − 5 = 15, so x = 15/3 = 5.

Q4. The ratio of two numbers is 3:4 and their sum is 84. What is the larger number?

Beginner

A 48 B 36 C 56 D 42

Show answer & explanation

Let numbers be 3x and 4x. 3x + 4x = 7x = 84 ⇒ x = 12. Larger number = 4x = 48.

Q5. If P is the brother of Q, and Q is the sister of R, how is P related to R?

Beginner

A Uncle B Sister C Father D Brother

Show answer & explanation

Brother

P is male (brother of Q). Q is female (sister of R). P and R share the same sibling relationship, so P is R's brother.

Q6. Find the odd one out: 3, 5, 7, 9, 11

Beginner

A 5 B 11 C 9 D 3

Show answer & explanation

All numbers except 9 are prime numbers. 9 is composite (3 × 3).

Q7. If the cost price of an article is ₹200 and it is sold at a 10% profit, what is the selling price?

Beginner

A ₹230 B ₹220 C ₹240 D ₹210

Show answer & explanation

₹220

Profit = 10% of ₹200 = ₹20. Selling price = ₹200 + ₹20 = ₹220.

Q8. The average of the first 10 natural numbers is 5.5.

Beginner

A True B False

Show answer & explanation

True

Sum of first 10 natural numbers = 10 × 11 / 2 = 55. Average = 55 / 10 = 5.5.

Q9. If a number is divisible by 6, it must be divisible by both 2 and 3.

Beginner

A True B False

Show answer & explanation

True

6 = 2 × 3, and since 2 and 3 are coprime, divisibility by 6 implies divisibility by both 2 and 3.

Q10. If a triangle has angles of $90^{\circ}$ and $45^{\circ}$, what is the third angle?

Beginner

A 60 degrees B 30 degrees C 90 degrees D 45 degrees

Show answer & explanation

45 degrees

The third angle is $45^{\circ}$ because the sum of angles in a triangle is $180^{\circ}$: $180 - (90 + 45) = 45$.

Q11. Which of the following is a prime number?

Beginner

A 8 B 7 C 6 D 4

Show answer & explanation

The correct answer is $7$ because it has no divisors other than $1$ and itself.

Q12. What is the product of $3$ and $4$?

Beginner

A 10 B 15 C 14 D 12

Show answer & explanation

The correct answer is $12$ because $3 imes 4 = 12$.

Q13. What is the next number in the sequence: 1, 2, 3, ...?

Beginner

A 5 B 7 C 6 D 4

Show answer & explanation

The next number is $4$ because the sequence increases by $1$ each time.

Q14. What is the value of $10 - 3$?

Beginner

A 7 B 6 C 8 D 5

Show answer & explanation

The correct answer is $7$ because $10 - 3 = 7$.

Q15. What is the value of $5^2$?

Beginner

A 10 B 30 C 25 D 20

Show answer & explanation

The correct answer is $25$ because $5^2 = 5 imes 5 = 25$.

Q16. Which of the following shapes has four equal sides?

Beginner

A Rectangle B Triangle C Square D Circle

Show answer & explanation

Square

The correct answer is a $Square$ because it has four equal sides.

Q17. If $x = 2$, what is the value of $3x + 4$?

Beginner

A 10 B 9 C 8 D 11

Show answer & explanation

The correct answer is $8$ because $3(2) + 4 = 6 + 4 = 10$.

Q18. What is the sum of the angles in a triangle?

Beginner

A 90 degrees B 360 degrees C 180 degrees D 270 degrees

Show answer & explanation

180 degrees

The correct answer is $180$ degrees because the sum of angles in any triangle is always $180$ degrees.

Q19. What is the value of $7 + 3$?

Beginner

A 12 B 11 C 10 D 9

Show answer & explanation

The correct option is 10 because $7 + 3 = 10$.

Q20. Which of the following is the smallest number?

Beginner

A 8 B 10 C 2 D 5

Show answer & explanation

The correct option is 2 because it is less than all the other numbers.

Q21. What is the value of $12 - 4$?

Beginner

A 5 B 6 C 8 D 7

Show answer & explanation

The correct option is 8 because $12 - 4 = 8$.

Q22. If $x = 5$, what is the value of $x^2$?

Beginner

A 25 B 10 C 20 D 15

Show answer & explanation

The correct option is 25 because $5^2 = 25$.

Q23. Which of the following numbers is even?

Beginner

A 4 B 7 C 3 D 1

Show answer & explanation

The correct option is 4 because it is divisible by 2.

Q24. What is the value of $15 + 10 - 5$?

Beginner

A 20 B 15 C 25 D 30

Show answer & explanation

The correct option is 25 because $15 + 10 - 5 = 25$.

Q25. What is the next number in the sequence: 2, 4, 6, ...?

Beginner

A 9 B 10 C 7 D 8

Show answer & explanation

The correct option is 8 because the sequence increases by 2.

Q26. Which of the following shapes has three sides?

Beginner

A Triangle B Rectangle C Circle D Square

Show answer & explanation

Triangle

The correct option is Triangle because it is defined as a three-sided polygon.

Q27. What is the value of $9 - 3 + 2$?

Beginner

A 6 B 7 C 8 D 5

Show answer & explanation

The correct option is 7 because $9 - 3 + 2 = 8$.

Q28. Which of the following is a multiple of 5?

Beginner

A 20 B 15 C 12 D 22

Show answer & explanation

The correct option is 20 because it can be expressed as $5 imes 4$.

Building up · 7 questions

Q29. The average of 5 numbers is 18. If one number is removed, the average becomes 16. What is the removed number?

Intermediate

A 30 B 28 C 24 D 26

Show answer & explanation

Sum of 5 numbers = 5 × 18 = 90. Sum of remaining 4 = 4 × 16 = 64. Removed number = 90 − 64 = 26.

Q30. A sum of money doubles itself in 8 years at simple interest. What is the annual rate of interest?

Intermediate

A 15% B 10% C 12.5% D 8%

Show answer & explanation

12.5%

For simple interest, doubling means interest = principal. So P = P × R × 8 / 100 ⇒ R = 100/8 = 12.5% per annum.

Q31. A can complete a work in 10 days and B in 15 days. Working together, how many days will they take?

Intermediate

A 7 days B 8 days C 5 days D 6 days

Show answer & explanation

6 days

A's rate = 1/10, B's rate = 1/15. Combined rate = 1/10 + 1/15 = 1/6. Time = 6 days.

Q32. What is the next number in the series: 2, 6, 12, 20, 30, ...?

Intermediate

A 36 B 40 C 48 D 42

Show answer & explanation

Differences are 4, 6, 8, 10, so next difference is 12. 30 + 12 = 42. Alternatively, pattern is n(n+1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42.

Q33. In a class of 40 students, 25 play cricket and 20 play football. If 10 play both, how many play neither?

Intermediate

A 5 B 10 C 0 D 15

Show answer & explanation

Number playing at least one = 25 + 20 − 10 = 35. Neither = 40 − 35 = 5.

Q34. A man walks 5 km north, then 3 km east, then 5 km south. How far is he from the starting point?

Intermediate

A 13 km B 3 km C 5 km D 8 km

Show answer & explanation

3 km

Net north-south displacement = 5 − 5 = 0. Net east displacement = 3 km. Distance = 3 km.

Q35. A clock shows 3:00. What is the angle between the hour and minute hands?

Intermediate

A 90° B 45° C 60° D 120°

Show answer & explanation

90°

At 3:00, the minute hand is at 12 and the hour hand is at 3. Each hour mark is 30°, so the angle is 3 × 30° = 90°.

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