Reasoning Quiz (Set-III)

Solution to Custom Operation Problem

Given the operation “%” where:

• -3 % 1 = 3
• 3 % 6 = -18
• -7 % 4 = 28

Pattern Observed: The operation “%” takes the product of the two numbers and then reverses the sign:

• If the product is positive, the result is made negative.
• If the product is negative, the result is made positive.

Series Completion Problem

The given series is:

• Rajasthan, Madhya Pradesh, Maharashtra, ?

Weight Comparison Problem

We are given the following relationships about the weights of Alok, Karan, Roma, Tipu, and Shivam:

• Weight of Alok is twice the weight of Karan.
• Weight of Karan is one-fourth of the weight of Roma.
• Weight of Roma is twice the weight of Tipu.
• Weight of Tipu is twice the weight of Shivam.

Code Language Problem

In a certain code language, “INSTANT” is written as “IOUWESZ”. We need to find how “FORGET” is written in that code language.

Solution to Coded Math Expression

In the given code language:

• ‘-‘ represents ‘x‘ (multiplication)
• ‘÷’ represents ‘+‘ (addition)
• ‘+’ represents ‘÷‘ (division)
• ‘x’ represents ‘–‘ (subtraction)

We need to decode and solve: 2 x 12 ÷ 32 – 5 + 4

Solution to Code Language Problem

To find the code for “GRUNT“, we match each letter to its corresponding number based on the given words:

Now, we can use these codes to write “GRUNT“:

• G → 7
• R → 6
• U → 3
• N → 8
• T → 4

Solution to Mathematical Operation

We are given the following operations:

• 16α1 = 8
• 14α6 = 42
• 12α5 = 30

Step 1: Let’s identify the pattern:

• The operation seems to involve multiplying the first number by the second and then performing some operation on the result.
• For example:
  • 16α1 = 16 × 1 = 16, but the result is 8. This suggests that we divide the product by 2.
  • 14α6 = 14 × 6 = 84, and dividing 84 by 2 gives 42, matching the result.
  • 12α5 = 12 × 5 = 60, and dividing 60 by 2 gives 30, which matches the result.

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Circle Arrangement Problem

Six persons A, B, C, D, E, and F are standing in a circle. The given conditions are:

• B is between F and C.
• A is between E and D.
• F is to the left of D.

Insect Movement and Position Calculation

An insect starts at the origin and follows the following steps:

• It walks 15 cm East.
• Turns to its right and walks 20 cm.
• Turns right again and walks 4 cm.
• Turns North and walks 20 cm.
• Finally, it turns left and walks 2 cm.

Movement and Position Calculation

A woman is shopping in a mall and takes the following steps:

• She pushes her trolley 20 metres East.
• She turns left and walks 30 metres North.
• She turns West and walks 30 metres.
• She turns South and walks 30 metres.
• Finally, she turns West and walks 25 metres.