Understanding Height Comparisons
This problem involves comparing the heights of five individuals: Vinay, Hansika, Abhay, Aalok, and Ashok. We need to use the given statements to establish a height order and find the shortest person.
Analyzing the Statements
Let's break down each statement and represent the height comparison using inequalities. We'll use the notation 'Person 1 > Person 2' to mean 'Person 1 is taller than Person 2'.
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Statement 1: Vinay is taller than Hansika.
Representation: $Vinay > Hansika$ -
Statement 2: Hansika is taller than Abhay.
Representation: $Hansika > Abhay$ -
Statement 3: Aalok is taller than Ashok.
Representation: $Aalok > Ashok$ -
Statement 4: Ashok is taller than Vinay.
Representation: $Ashok > Vinay$
Step-by-Step Height Ranking
Now, let's combine these comparisons to create a single height order:
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Combine Statements 1 and 2: Since Vinay > Hansika and Hansika > Abhay, we can deduce that Vinay is taller than Hansika, who is taller than Abhay.
Combined Inequality: $Vinay > Hansika > Abhay$ -
Combine Statements 3 and 4: Since Aalok > Ashok and Ashok > Vinay, we know Aalok is the tallest among these three, followed by Ashok, and then Vinay.
Combined Inequality: $Aalok > Ashok > Vinay$ -
Combine all information: We have $Aalok > Ashok > Vinay$ and $Vinay > Hansika > Abhay$. Linking these together using Vinay as the common point gives us the complete order from tallest to shortest.
Full Inequality Chain: $Aalok > Ashok > Vinay > Hansika > Abhay$
Identifying the Shortest Person
Looking at the final height order:
$Aalok > Ashok > Vinay > Hansika > Abhay$
This clearly shows that Abhay is shorter than everyone else in the group. Therefore, Abhay is the shortest person.
Important Questions from Analytical Decision Making
A college council is auditioning students for a cultural festival. They must satisfy the following criteria —
1. Student must know at least one dance form.2. Student must know to play at least one musical instrument.
3. Student must have good acting skills.
Which one of the following will the council definitely select?
A. Z is a Bharat Natyam dancer, a violinist but does not have any acting skills.
B. P plays football, guitar, has acted in road shows and is a classical dancer.
C. J is a contemporary dancer, a great actor and is planning to learn flute.
D. A plays sitar, is a hip-hop dancer and does not have any acting skills.
‘MPQO’ is related to ‘KNSQ’ in a certain way based on the English alphabetical order. In the same way, ‘DGHF’ is related to ‘BEJH’. To which of the following is ‘EINW’ related, following the same logic?
Select the triad in which the numbers are related in the same way as are the numbers of the given triads.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 – Operations on 13 such as adding/deleting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(11, 1, 10)
(13, 7, 90)
In a certain code language, ‘BIRD’ is written as ‘DKTF’ and ‘KITE’ is written as ‘MKVG’. How will ‘EAGLE’ be written in that language?
Family C has a total monthly income of Rs. 26,000 which includes a pension of Rs. 3,000 earned by th widowed gandmother. The married couple has one 3-year-old son. The family has no members who have a criminal case, they do not own a residential property and they have not received any other subsidy. They are living in a rented house for the past 6 years.
