Correct Answer: 9

Solution:

Find the relationship between 38 and 6:

6² + 2 = 36 + 2 = 38

Pattern: The first number = (second number)² + 2

Apply the same pattern to 83:

x² + 2 = 83

x² = 81

x = 9

Verification:

9² + 2 = 81 + 2 = 83

Therefore, the answer is 9.

The correct mirror image of the given combination when the mirror is placed at MN is as shown below :-

Detailed Explanation:-

• The line PQ is the mirror.

1. Understand the Relationship

• The first pair is Telephone : Communication. A telephone is a device whose primary function is to facilitate communication.

2. Apply the Relationship

• The second pair starts with Radio : ______. We need to find the primary function or purpose of a radio, similar to how communication is the purpose of a telephone.

3. Evaluate the Options

• A radio is a device primarily used to transmit or receive signals over a wide area. This process is called broadcasting.
• Options like Story, Art, or Character describe potential content transmitted via radio, but not its fundamental function.
• Therefore, Broadcast is the term that best represents the primary function of a radio in the same way that Communication represents the function of a telephone.

Conclusion

The analogy holds: A telephone is used for Communication, and a radio is used for Broadcast.

Correct Answer: Probity

Solution:

The relationship is of antonyms (opposites).

Tall : Short → Tall is the opposite of Short

Similarly:

Fraud : Probity → Fraud is the opposite of Probity

• Fraud means dishonesty, deceit, or cheating
• Probity means honesty, integrity, and uprightness

The other options are incorrect because:

• Deceit — This is a synonym of fraud, not an antonym
• Liability — This means responsibility/obligation, not the opposite of fraud
• Gullibility — This means being easily deceived, not the opposite of fraud

Therefore, the answer is Probity.

The relationship between which is best illustrated by the Venn diagram is given below,

• Because All uncles are males, so uncles will come under the males circle.
• But all Farmers are not males, only some farmers are males and some are uncles too, hence they will share a part with males and uncles circle.

Hence, option 4) is the correct answer.

Correct Answer: GFXA

Solution:

Analyze each position in the letter-clusters separately:

Position 1: I, O, U, A, ?

• I=9, O=15, U=21, A=27(1)
• Pattern: +6 each time
• Next: 1+6 = 7 = G

Position 2: Z, H, P, X, ?

• Z=26, H=8(34), P=16(42), X=24(50)
• Pattern: +8 each time
• Next: 24+8 = 32 mod 26 = 6 = F

Position 3: D, V, N, F, ?

• D=4, V=22, N=14, F=6
• Pattern: -8 each time
• Next: 6-8 = -2 mod 26 = 24 = X

Position 4: K, O, S, W, ?

• K=11, O=15, S=19, W=23
• Pattern: +4 each time
• Next: 23+4 = 27 mod 26 = 1 = A

Therefore, the answer is GFXA.

Correct Answer: APPOINT

Solution:

Step 1: Count letters in DISAPPOINTMENT

D-I-S-A-P-P-O-I-N-T-M-E-N-T

Step 2: Check each option

DISAPPOINTMENT — Same word, but let's check others first

SENTIMENT — S:1, E:2, N:2, T:2, I:1, M:1 → E appears 2 times but original has only 1 E ❌

APPOINT — A:1, P:2, O:1, I:1, N:1, T:1 → All within available count ✓

PREMONITION — Contains R which is not in the original word ❌

POTENTATE — P:1, O:1, T:2, E:2, N:1, A:1 → E appears 2 times but original has only 1 E ❌

Therefore, the answer is APPOINT.

Correct Answer: GPRCX

Solution:

Step 1: Find the coding pattern in PLANT → QJDJY

Pattern: +1, -2, +3, -4, +5

Step 2: Apply same pattern to FROGS

Therefore, FROGS is coded as GPRCX.

The image obtained when the paper is unfolded is,

Hence, option 4  is the correct answer.

Correct Answer: 21

Solution:

Given series: 100, 90, 75, 53, 21, -20, -75

Step 1: Find the differences

Step 2: Find second differences

-15-(-10) = -5 -22-(-15) = -7 -32-(-22) = -10 -41-(-32) = -9 -55-(-41) = -14

Second differences are inconsistent.

Step 3: Find the correct pattern

Third differences should be constant at -2:

Second differences: -5, -7, -9, -11, -13

First differences: -10, -15, -22, -31, -42, -55

Step 4: Correct series

100, 90, 75, 53, 22, -20, -75

The 5th term should be 53 - 31 = 22, not 21.

Therefore, the wrong term is 21.