Aptitude: Quantitative and Logical Reasoning
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Kit Library / Education / Aptitude
⚡ Topic Learning KitAptitude
English 35 leveled MCQs Free
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All 35 questions, laddered from warm-up to topper-level, each with its answer and the reasoning behind it.
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 the answer
D · 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 the answer
C · ₹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 the answer
B · 5
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 the answer
A · 48
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 the answer
D · 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 the answer
C · 9
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 the answer
B · ₹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 the answer
A · 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 the answer
A · 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 the answer
D · 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 the answer
B · 7
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 the answer
D · 12
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 the answer
D · 4
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 the answer
A · 7
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 the answer
C · 25
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 the answer
C · 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 the answer
C · 8
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 the answer
C · 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 the answer
C · 10
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 the answer
C · 2
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 the answer
C · 8
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 the answer
A · 25
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 the answer
A · 4
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 the answer
C · 25
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 the answer
D · 8
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 the answer
A · 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 the answer
B · 7
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 the answer
A · 20
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 the answer
D · 26
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 the answer
C · 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 the answer
D · 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 the answer
D · 42
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 the answer
A · 5
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 the answer
B · 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 the answer
A · 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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