GAT Quantitative Reasoning — Questions and Answers
Question 1: A shirt originally priced at $80 is discounted by 25%, and then a further 10% is taken off the reduced price. What is the final price?
- $52
- $54 (Correct answer)
- $56
- $60
Correct answer: $54
$80 × 0.75 = $60, then $60 × 0.90 = $54.
The first discount of 25% reduces $80 to $60. The second discount of 10% is applied to $60, not to the original price, giving $54. Adding the percentages to get 35% off would incorrectly produce $52.
Question 2: If 3x − 7 = 2x + 5, what is the value of x?
- −2
- 2
- 12 (Correct answer)
- −12
Correct answer: 12
Subtract 2x from both sides and add 7: x = 12.
Start with 3x − 7 = 2x + 5. Subtracting 2x from both sides gives x − 7 = 5. Adding 7 to both sides yields x = 12, which can be checked: 3(12) − 7 = 29 and 2(12) + 5 = 29.
Question 3: The average of five numbers is 18. If one of the numbers is removed, the average of the remaining four is 16. What number was removed?
- 24
- 26 (Correct answer)
- 28
- 30
Correct answer: 26
Total was 90; remaining total is 64; the removed number is 90 − 64 = 26.
Five numbers with an average of 18 sum to 90. Four numbers with an average of 16 sum to 64. The difference between the two sums, 90 − 64 = 26, is the number that was removed.
Question 4: A train travels 240 km in 3 hours and then 180 km in 2 hours. What is its average speed for the whole journey?
- 80 km/h
- 82 km/h
- 84 km/h (Correct answer)
- 90 km/h
Correct answer: 84 km/h
Total distance 420 km over total time 5 hours gives 84 km/h.
The total distance is 240 + 180 = 420 km, and the total time is 3 + 2 = 5 hours. Dividing gives an average speed of 84 km/h. Averaging the two separate speeds (80 and 90) would give 85, which is incorrect because the time intervals differ.
Question 5: What is the next number in the sequence 2, 6, 12, 20, 30, ...?
- 40
- 42 (Correct answer)
- 44
- 48
Correct answer: 42
Differences increase by 2 each time (4, 6, 8, 10), so the next difference is 12: 30 + 12 = 42.
The differences between consecutive terms are 4, 6, 8, and 10, each increasing by 2. The next difference is therefore 12, giving 30 + 12 = 42. Equivalently, each term equals n(n+1), and 6 × 7 = 42.
Question 6: A rectangle has a perimeter of 36 cm and its length is twice its width. What is its area?
- 54 cm²
- 64 cm²
- 72 cm² (Correct answer)
- 81 cm²
Correct answer: 72 cm²
Width 6, length 12, so area = 72 cm².
Let the width be w, so the length is 2w. The perimeter is 2(w + 2w) = 6w = 36, giving w = 6 cm and length 12 cm. The area is 6 × 12 = 72 cm².
GAT Quantitative Reasoning
A shirt originally priced at $80 is discounted by 25%, and then a further 10% is taken off the reduced price.
What is the final price?