Deloitte — Interview Questions
Aptitude · Reasoning · English · CS — Corporate & Campus Interview Prep
Showing 361–370 of 654 questions
Q.361
Medium
Deloitte
What is the missing number in the series: 2, 6, 12, 20, ?, 42
Correct Answer:
B. 30
Explanation:
Series follows n(n+1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42
Q.362
Medium
Deloitte
If a:b = 3:4 and b:c = 5:6, then a:b:c is:
Correct Answer:
A. 15:20:24
Explanation:
a:b = 3:4, b:c = 5:6. Multiply first by 5 and second by 4: a:b = 15:20, b:c = 20:24. So a:b:c = 15:20:24
Q.363
Medium
Deloitte
In a class of 50 students, 30 study Math and 25 study Science. How many study both?
Correct Answer:
A. 5
Explanation:
Using set theory: n(M∪S) = n(M) + n(S) - n(M∩S). 50 = 30 + 25 - n(M∩S). n(M∩S) = 5
Q.364
Easy
Deloitte
What is the value of (2.5)² - (1.5)² / 2?
Correct Answer:
A. 2
Explanation:
(2.5)² - (1.5)² / 2 = [6.25 - 2.25] / 2 = 4/2 = 2
Q.365
Medium
Deloitte
If x² + 1/x² = 7, then x + 1/x is:
Correct Answer:
B. ±3
Explanation:
(x + 1/x)² = x² + 2 + 1/x² = 7 + 2 = 9. So x + 1/x = ±3
Q.366
Easy
Deloitte
Which number is NOT a perfect square?
Correct Answer:
C. 195
Explanation:
144=12², 169=13², 196=14², but 195 is not a perfect square (√195 ≈ 13.96)
Q.367
Easy
Deloitte
Find the next number in the sequence: 1, 1, 2, 3, 5, 8, ?
Correct Answer:
C. 13
Explanation:
This is the Fibonacci sequence where each number is the sum of the previous two: 5+8=13
Q.368
Easy
Deloitte
If 30% of x is 45, then x is:
Correct Answer:
D. 150
Explanation:
0.30 × x = 45. x = 45/0.30 = 150
Q.369
Medium
Deloitte
A man walks 5 km north, then 3 km east, then 5 km south. How far is he from his starting point?
Correct Answer:
A. 3 km
Explanation:
After north and south movements (cancel out), he is only 3 km east of starting point
Q.370
Medium
Deloitte
What is the angle between the hour hand and minute hand at 3:15?
Correct Answer:
B. 7.5°
Explanation:
At 3:15, minute hand at 3 (90°), hour hand at 3 + 15/60 × 30 = 97.5°. Difference = 7.5°
