51. Find the missing number in the following series. 512, 256, 128, ?, 32, 16, 8
(A) 52
(B) 61
(C) 64
(D) 56
Answer:
(C) 64
Explanation:
The sequence works by repeatedly dividing the previous number by 2. 128 divided by 2 is 64.
52. Fill in the missing number in the following arrangement based on some principle.
[ 8, 6, 4], [ 3, ?, 7], [14,16,18]
(A) 4
(B) 5
(C) 6
(D) 8
Answer:
(B) 5
Explanation:
Looking at columns, the logic is: Row 1 + 2*(Row 2) = Row 3. For the first column: 8 + 2(3) = 14. For the third column: 4 + 2(7) = 18. For the middle column: 6 + 2(?) = 16, which means 2(?) = 10, so ? = 5.
53. Find the wrong number in this following sequence.
10, 26, 74, 218, 654, 1946.
(A) 26 (B) 74 (C) 218 (D) 650
Answer:
(D) 650
Explanation:
The pattern is (Previous term * 3) – 4.
However, the sequence lists 654. Therefore, 654 is the wrong number, and it should be 650. (Option D lists 650, which points to the error location).
54. A, B, C, D and E are sitting on a bench. A is sitting next to B; C is sitting next to D, and D is not sitting with E who is on the left end of the bench. C is on the second position from the right. A is to the right of B and E. A and C are sitting together. In which position is A sitting?
(A) Between B and C
(B) Between B and D
(C) Between E and D
(D) Between C and E
Answer:
(A) Between B and C
Explanation:
Based on the rules: E is far left. C is second from right. D is next to C but not E, so D is far right. This gives E _ _ C D. A is next to B and C, and right of B, so B is second left and A is middle. The order is E, B, A, C, D. A is between B and C.
55. 10 February 2005 was Thursday. What was the day of the week on 8 February 2004?
(A) Tuesday
(B) Monday
(C) Sunday
(D) Wednesday
Answer:
(C) Sunday
Explanation:
2004 is a leap year, so February has 29 days. The gap between 8 Feb 2004 and 10 Feb 2005 is exactly 368 days. 368 divided by 7 leaves a remainder of 4 odd days. If the later date (10 Feb 2005) is a Thursday, the earlier date is Thursday minus 4 days = Sunday.