GATE General Aptitude & Logical Reasoning 1 — Questions and Answers
Question 1: What is the next number in the sequence: 2, 4, 8, 16, __?
- 24
- 32 (Correct answer)
- 30
- 28
Correct answer: 32
The sequence 2, 4, 8, 16 follows a pattern where each number is obtained by multiplying the previous number by 2. This is a geometric progression with a common ratio of 2. Therefore, to find the next number, you multiply the last number (16) by 2, which gives 32.
Question 2: If A = 2, B = 4, C = 6, D = 8, then E = ?
- 10 (Correct answer)
- 12
- 8
- 6
Correct answer: 10
The pattern assigns a value to each letter that is twice its alphabetical position. A is the 1st letter, so A=1*2=2. B is the 2nd letter, so B=2*2=4. C is the 3rd letter, so C=3*2=6. D is the 4th letter, so D=4*2=8. Following this pattern, E is the 5th letter, so E=5*2=10.
Question 3: A train travels 60 miles in 1.5 hours. What is its average speed?
- 30 mph
- 40 mph (Correct answer)
- 45 mph
- 50 mph
Correct answer: 40 mph
To find the average speed, you divide the total distance traveled by the total time taken. In this case, the train travels 60 miles in 1.5 hours. Therefore, the average speed is calculated as 60 miles / 1.5 hours = 40 miles per hour (mph).
Question 4: If 5 pens cost $10, how much do 8 pens cost?
- $14
- $15
- $16 (Correct answer)
- $18
Correct answer: $16
First, determine the cost per pen: $10 divided by 5 pens equals $2 per pen. Then, to find the cost of 8 pens, multiply the cost per pen by 8. So, $2/pen * 8 pens = $16. Therefore, 8 pens would cost $16.
Question 5: Find the odd one out: Apple, Banana, Carrot, Mango.
- Apple
- Banana
- Carrot (Correct answer)
- Mango
Correct answer: Carrot
Apple, Banana, and Mango are all types of fruits. Carrot, however, is a root vegetable. Therefore, 'Carrot' is the odd one out because it belongs to a different botanical category than the other items in the list.
Question 6: What comes next in the series: AZ, BY, CX, DW, __?
- EX
- EV
- FV
- EV (Correct answer)
Correct answer: EV
This series follows two distinct alphabetical patterns. The first letter of each pair progresses forward through the alphabet (A, B, C, D, E), while the second letter progresses backward (Z, Y, X, W, V). Following this logic, the next pair in the series will start with 'E' and end with 'V', resulting in EV.
Question 7: If 8 workers can complete a job in 6 days, how many days would 4 workers take?
- 9 days
- 10 days
- 12 days (Correct answer)
- 15 days
Correct answer: 12 days
This is an inverse proportionality problem: the total amount of work (workers * days) remains constant. If 8 workers complete a job in 6 days, the total work is 8 * 6 = 48 'worker-days'. If only 4 workers are doing the job, they would take 48 worker-days / 4 workers = 12 days to complete the same job.
Question 8: What is the opposite of 'benevolent'?
- Malevolent (Correct answer)
- Generous
- Helpful
- Kind
Correct answer: Malevolent
'Benevolent' describes someone who is kind, generous, and well-meaning, characterized by goodwill. The direct opposite of this positive trait is 'malevolent,' which describes someone who wishes to do evil to others or shows ill will. The other options are synonyms or related positive attributes.
Question 9: Which word does not belong: Cat, Dog, Cow, Eagle?
- Cat
- Dog
- Cow
- Eagle (Correct answer)
Correct answer: Eagle
Cat, Dog, and Cow are all common domesticated mammals. An Eagle, on the other hand, is a wild bird of prey. Therefore, 'Eagle' does not belong with the other words as it is fundamentally different in its classification and typical habitat.
What is the next number in the sequence: 2, 4, 8, 16, __?