Logical Reasoning

1. A. 11880
2. B. 11240
3. C. 7920
4. D. 5940

Answer: A

Explanation

Let’s analyze the given coding pattern based on the alphabetical positions of the letters:
– A=1, B=2, C=3, D=4
For ‘ABCD’, the code is 24. This can be obtained by multiplying their alphabetical positions: 1 * 2 * 3 * 4 = 24.

– E=5, F=6, G=7, H=8
For ‘EFGH’, the code is 1680. This can be obtained by multiplying their alphabetical positions: 5 * 6 * 7 * 8 = 30 * 56 = 1680.

The pattern is consistent: the code is the product of the alphabetical positions of the letters in the word.

Now, apply this pattern to ‘IJKL’:
– I=9, J=10, K=11, L=12
The code for ‘IJKL’ will be the product of their alphabetical positions: 9 * 10 * 11 * 12.
9 * 10 = 90
11 * 12 = 132
90 * 132 = 11880.

Therefore, ‘IJKL’ is written as 11880. This question tests pattern recognition and coding-decoding skills.

1. A. AARENA
2. B. AANREA
3. C. AANEAR
4. D. AANERA

Answer: D

Explanation

Let’s analyze the given coding pattern:

1. **POT is written as ATOP**:
– Original letters: P, O, T
– Coded letters: A, T, O, P
– It appears an ‘A’ is added at the beginning. The remaining letters (T, O, P) are the original letters (P, O, T) arranged in reverse order.
So, the pattern is: Add ‘A’ at the beginning, then write the original word’s letters in reverse order.

2. **TRAP is written as APART**:
– Original letters: T, R, A, P
– Coded letters: A, P, A, R, T
– Following the deduced pattern: Add ‘A’ at the beginning. Then write the original letters (T, R, A, P) in reverse order: P, A, R, T.
– Combining these: A + P A R T = APART. This matches the given code.

The pattern is consistent: Add an ‘A’ at the beginning of the word, then append the letters of the original word in reverse order.

Now, apply this rule to **ARENA**:
1. Add ‘A’ at the beginning: A
2. Original letters of ARENA (A, R, E, N, A) in reverse order: A, N, E, R, A.
3. Combine these: A + A N E R A = AANERA.

Therefore, ‘ARENA’ is written as AANERA. This question tests pattern recognition and coding-decoding skills.

1. A. SOCACT
2. B. SODBGT
3. C. SODBHT
4. D. SODBHU

Answer: D

Explanation

To decode the pattern, let’s compare the letters of ‘ZERO’ and ‘CHUR’:
Z (26th letter) + 3 = C (3rd letter, wrapping around A, B, C)
E (5th letter) + 3 = H (8th letter)
R (18th letter) + 3 = U (21st letter)
O (15th letter) + 3 = R (18th letter)
The pattern is to shift each letter forward by 3 positions in the alphabet. Applying this rule to ‘PLAYER’:
P (16th) + 3 = S (19th)
L (12th) + 3 = O (15th)
A (1st) + 3 = D (4th)
Y (25th) + 3 = B (2nd, wrapping around Z, A, B)
E (5th) + 3 = H (8th)
R (18th) + 3 = U (21st)
Thus, ‘PLAYER’ is written as ‘SODBHU’.

1. A. Only two
2. B. Only three
3. C. Only four
4. D. All five

Answer: D

Explanation

To determine the oldest person, we need to establish the complete relative age order of all individuals. Let’s combine the statements:
1. A > B
2. C = D
3. E is the youngest (E F
5. F > A

Combining (1) and (5): F > A > B.
Combining this with (2) and (4): C = D > F > A > B.
Finally, incorporating (3): C = D > F > A > B > E.
This complete sequence shows that C and D are the oldest. Each statement provides a unique and essential link in establishing this order. Removing any one statement would break a link and prevent the definitive identification of the oldest person(s). Therefore, all five statements are required.

1. A. Statement-1, Statement-2 and Statement-3 are sufficient to answer the Question.
2. B. Statement-1, Statement-3 and Statement-4 are sufficient to answer the Question.
3. C. All four statement together are sufficient to answer the Question.
4. D. All four statements are not sufficient to answer the Question.

Answer: C

Explanation

Let’s deduce the relationships using all statements:
1. A and B are a married couple.
2. D is the father of C.
3. E is D’s son.
4. A and C are sisters.

From (2) and (3), D is the father of both C and E, making C and E siblings. From (4), A and C are sisters. This means A is also D’s daughter. Since A is D’s daughter and E is D’s son, A and E are siblings. From (1), A and B are a married couple. If A is female (sister of C), then B must be her husband. Since E is A’s brother, E is B’s brother-in-law. All four statements are necessary to establish these connections and determine the precise relationship between E and B.

1. A. 17, 37, 47, 97
2. B. 31, 41, 53, 67
3. C. 71, 73, 79, 83
4. D. 83, 89, 91, 97

Answer: D

Explanation

To identify the different group, we examine the properties of the numbers in each option:
(a) 17, 37, 47, 97 are all prime numbers.
(b) 31, 41, 53, 67 are all prime numbers.
(c) 71, 73, 79, 83 are all prime numbers.
(d) 83, 89, 91, 97. In this group, 83, 89, and 97 are prime numbers. However, 91 is a composite number, as it can be factored into 7 × 13. Since group (d) contains a composite number while the others contain only prime numbers, it is the different group.