Mathematics
Analytical Reasoning
Five persons sit in a row. F sits immediately left of C; C sits immediately left of D; D sits immediately left of B; B sits immediately left of J. Who sits in position 3 from the left?
A. D
B. C
C. B
D. F
Correct Answer: A
The adjacency clues fix the row as F-C-D-B-J; position 3 is D.
Mathematics
Analytical Reasoning
Five persons sit in a row. F sits immediately left of J; J sits immediately left of C; C sits immediately left of E; E sits immediately left of G. Who sits in position 2 from the left?
A. J
B. C
C. E
D. F
Correct Answer: A
The adjacency clues fix the row as F-J-C-E-G; position 2 is J.
Mathematics
Analytical Reasoning
Five persons sit in a row. C sits immediately left of B; B sits immediately left of J; J sits immediately left of G; G sits immediately left of E. Who sits in position 1 from the left?
A. B
B. C
C. J
D. G
Correct Answer: B
The adjacency clues fix the row as C-B-J-G-E; position 1 is C.
Mathematics
Analytical Reasoning
Five persons sit in a row. G sits immediately left of J; J sits immediately left of K; K sits immediately left of B; B sits immediately left of A. Who sits in position 5 from the left?
A. K
B. J
C. G
D. A
Correct Answer: D
The adjacency clues fix the row as G-J-K-B-A; position 5 is A.
Mathematics
Analytical Reasoning
Five persons sit in a row. D sits immediately left of F; F sits immediately left of E; E sits immediately left of G; G sits immediately left of B. Who sits in position 4 from the left?
A. D
B. F
C. G
D. E
Correct Answer: C
The adjacency clues fix the row as D-F-E-G-B; position 4 is G.
Mathematics
Analytical Reasoning
Five persons sit in a row. E sits immediately left of A; A sits immediately left of F; F sits immediately left of K; K sits immediately left of J. Who sits in position 3 from the left?
A. A
B. F
C. K
D. E
Correct Answer: B
The adjacency clues fix the row as E-A-F-K-J; position 3 is F.
Mathematics
Analytical Reasoning
Five persons sit in a row. H sits immediately left of G; G sits immediately left of E; E sits immediately left of C; C sits immediately left of B. Who sits in position 2 from the left?
A. G
B. E
C. C
D. H
Correct Answer: A
The adjacency clues fix the row as H-G-E-C-B; position 2 is G.
Mathematics
Analytical Reasoning
Five persons sit in a row. F sits immediately left of D; D sits immediately left of E; E sits immediately left of J; J sits immediately left of K. Who sits in position 1 from the left?
A. E
B. D
C. J
D. F
Correct Answer: D
The adjacency clues fix the row as F-D-E-J-K; position 1 is F.
Mathematics
Number System
Find the missing number: 41, 44, ?, 50, 53, 56
A. 50
B. 44
C. 53
D. 47
Correct Answer: D
This is an arithmetic series with common difference 3; the missing term is 47.
Mathematics
Number System
A two-digit number is 24. What is the absolute difference between the number and the number formed by reversing its digits?
A. 2
B. 27
C. 18
D. 9
Correct Answer: C
Reversed number = 42. Absolute difference = |24 - 42| = 18.
Mathematics
Number System
What is the least positive number exactly divisible by 15, 18, and 10?
A. 100
B. 18
C. 90
D. 180
Correct Answer: C
The required number is LCM(15, 18, 10) = 90.
Mathematics
Number System
Find the missing number: 59, 63, 67, ?, 75, 79
A. 67
B. 71
C. 79
D. 75
Correct Answer: B
This is an arithmetic series with common difference 4; the missing term is 71.
Mathematics
Number System
Find the next number in the alternating series: 28, 37, 31, 30, 34, 23, ?
A. 16
B. 34
C. 40
D. 37
Correct Answer: D
Odd-position terms are 28, 31, 34, ... with difference 3. Hence the next odd-position term is 37.
Mathematics
Number System
What is the remainder when 4090 is divided by 21?
A. 16
B. 18
C. 19
D. 17
Correct Answer: A
4090 = 21 × 194 + 16; therefore the remainder is 16.
Mathematics
Number System
Find the next number in the alternating series: 14, 77, 16, 73, 18, 69, ?
A. 20
B. 22
C. 65
D. 18
Correct Answer: A
Odd-position terms are 14, 16, 18, ... with difference 2. Hence the next odd-position term is 20.
Mathematics
Number System
How many trailing zeros are there in 84! ?
A. 18
B. 19
C. 8
D. 20
Correct Answer: B
Trailing zeros = ⌊84/5⌋ + ⌊84/25⌋ + ... = 16 + 3 = 19.
Mathematics
Number System
What is the least positive number exactly divisible by 6, 11, and 9?
A. 396
B. 11
C. 204
D. 198
Correct Answer: D
The required number is LCM(6, 11, 9) = 198.
Mathematics
Number System
Find the next number: 4, 8, 16, 28, 44, ?
A. 48
B. 60
C. 64
D. 68
Correct Answer: C
The differences are 4, 8, 12, 16, increasing by 4. The next difference is 20, so the answer is 64.
Mathematics
Number System
Classify 9/8.
A. Irrational
B. Prime number
C. Rational
D. Whole number
Correct Answer: C
9/8 is a ratio of two integers with a non-zero denominator, so it is rational.
Mathematics
Number System
What least number must be added to 784 so that the result is exactly divisible by 10?
A. 16
B. 7
C. 6
D. 4
Correct Answer: C
784 leaves remainder 4 on division by 10. Add 10 - 4 = 6.