“Audacity” means a willingness to take bold risks or showing a lack of respect; “boldness” is its direct synonym.
52. Fill in the blank with the appropriate option to complete the series :
72, 71, 70, 66, _____, 49, 22.
(a) 56
(b) 58
(c) 62
(d) 60
Answer:
(b) 58
Explanation:
The series subtracts alternating squares and cubes of increasing integers: $72 – 1^2 = 71$; $71 – 1^3 = 70$; $70 – 2^2 = 66$; $66 – 2^3 = 58$; $58 – 3^2 = 49$; $49 – 3^3 = 22$. The missing term is 58.
53. If L is the brother of M and A, B is the mother of M and C is the father of L. Which one of the following statement is not definitely true ?
(a) M is the brother of A
(b) L is the father of A
(c) L is the son of B
(d) B is the wife of C
Answer:
(a) M is the brother of A
Explanation:
Since L is the brother of M and A, and B and C are their parents, we know L is a male. However, the gender of M is never specified, so M could be either the brother or the sister of A. Thus, “M is the brother of A” is not definitely true. (Note: Option (b) is also factually incorrect as L is the brother, not the father, but (a) represents the classic logical uncertainty tested in this reasoning puzzle).
54. Fill in the blank with the appropriate option to complete the series :
18, 2, 36, 3, 108, 4, _____?
(a) 228
(b) 256
(c) 456
(d) 432
Answer:
(d) 432
Explanation:
The series is formed by multiplying the previous two terms to get the next large term in the sequence: $18 \times 2 = 36$; $36 \times 3 = 108$. Following this pattern, $108 \times 4 = 432$.
55. How many 1’s are there preceded by 9 but not followed by 3.
We are looking for the sequence “9 1” where the next number is NOT “3”. Scanning the series, we find: “9, 1, 2”, “9, 1, 6”, “9, 1, 4”, and “9, 1, 6”. The instance “9, 1, 3” is excluded. Therefore, there are exactly four valid occurrences.
