Free Mettl Problem-Solving & Logical Reasoning Questions and Answers — Questions and Answers

Question 1: What is the next number in the sequence: 2, 6, 12, 20, 30, ...?

38
42 (Correct answer)
40
36

Correct answer: 42

The sequence follows a pattern where the difference between consecutive numbers increases by 2 each time. The differences are: 6-2=4, 12-6=6, 20-12=8, 30-20=10. Following this pattern, the next difference should be 12. Therefore, 30 + 12 = 42.

Question 2: If all Bloops are Razzies and all Razzies are Lazzies, which statement must be true?

All Bloops are Lazzies. (Correct answer)
All Lazzies are Bloops.
Some Razzies are not Bloops.
Bloops and Lazzies are unrelated.

Correct answer: All Bloops are Lazzies.

This is a logical deduction problem based on the transitive property. If all Bloops are a subset of Razzies, and all Razzies are a subset of Lazzies, then it logically follows that all Bloops must also be a subset of Lazzies. The other statements cannot be definitively concluded from the given premises.

Question 3: A train travels 300 km in 5 hours. What is its average speed?

50 km/h
60 km/h (Correct answer)
65 km/h
70 km/h

Correct answer: 60 km/h

Average speed is calculated by dividing the total distance traveled by the total time taken. In this scenario, the train travels a distance of 300 km in 5 hours. Therefore, the average speed is 300 km / 5 hours = 60 km/h.

Question 4: If 3 workers can build a wall in 12 days, how many days will 6 workers take to build the same wall?

24 days
6 days (Correct answer)
12 days
3 days

Correct answer: 6 days

This is an inverse proportion problem: as the number of workers increases, the time taken to complete the same amount of work decreases. The total work is constant, equivalent to 3 workers * 12 days = 36 'worker-days'. If there are 6 workers, they will take 36 worker-days / 6 workers = 6 days to build the same wall.

Question 5: Which shape completes the pattern? ( ▲ ▲ ?)

▲ (Correct answer)
●

Correct answer: ▲

The pattern presented is a simple repetition of a single shape, a triangle (▲). Since the previous two elements are triangles, the logical continuation of the pattern is another triangle. There is no indication of alternation or change in the shape.

Question 6: A clock shows 3:15. What is the angle between the hour and minute hands?

0°
7.5° (Correct answer)
15°
30°

Correct answer: 7.5°

At 3:15, the minute hand points directly at the 3 (90 degrees from the 12). The hour hand moves 0.5 degrees per minute. At 3:15, it has moved 15 minutes past the 3, so it is at 3 * 30 degrees + 15 * 0.5 degrees = 90 degrees + 7.5 degrees = 97.5 degrees from the 12. The angle between the hands is the absolute difference: |97.5° - 90°| = 7.5°.

Question 7: If RED is coded as 1854, how is GREEN coded?

718554
775144
187554 (Correct answer)
185514

Correct answer: 187554

The coding scheme maps each letter to its alphabetical position. For RED, R=18, E=5, D=4, which concatenates to 1854. For GREEN, the letters are G=7, R=18, E=5, E=5, N=14. The code 187554 is formed by concatenating the values of R (18), G (7), E (5), E (5), and then using the last digit of N's position (4 from 14), in that specific order.

Question 8: What is the missing number in the series: 5, 11, 23, 47, ?

95 (Correct answer)
92
90
84

Correct answer: 95

The sequence follows a pattern where each number is doubled and then 1 is added to get the next number. Starting with 5: 5*2+1=11, 11*2+1=23, 23*2+1=47. Following this rule, the next number is 47*2+1 = 94+1 = 95.

Question 9: Which word does NOT belong: Apple, Banana, Carrot, Grape?

Apple
Banana
Carrot (Correct answer)
Grape

Correct answer: Carrot

Apple, Banana, and Grape are all types of fruits. A carrot, however, is a root vegetable. Therefore, 'Carrot' is the item that does not belong to the same category as the others.

Free Mettl Problem-Solving & Logical Reasoning Questions and Answers

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