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Jamia Millia Islamia Previous Year Questions (PYQs)

Jamia Millia Islamia Puzzle PYQ


Jamia Millia Islamia PYQ
Branches of 5 nationalized banks A, B, C, D and E in Uttar Pradesh are as follows: A, B, C, D and E are in Lucknow and Kanpur. A, B and E are in Kanpur and Allahabad. B, C and D are in Lucknow and Varanasi. B, E and D are in Allahabad and Saharanpur. C, E and D are in Saharanpur and Moradabad. Which bank has branches in all the cities except Moradabad?





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

List all cities for each bank: A → Lucknow, Kanpur, Allahabad B → Lucknow, Kanpur, Allahabad, Varanasi, Saharanpur C → Lucknow, Kanpur, Varanasi, Saharanpur, Moradabad D → Lucknow, Kanpur, Varanasi, Allahabad, Saharanpur, Moradabad E → Lucknow, Kanpur, Allahabad, Saharanpur, Moradabad Bank B covers all except Moradabad.

Jamia Millia Islamia PYQ
In a family, each daughter has the same number of brothers as she has sisters, and each son has twice as many sisters as he has brothers. How many sons are there in the family?





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Let number of sons = $s$, and number of daughters = $d$. For a daughter: number of brothers = $s$, number of sisters = $d - 1$ ⇒ $s = d - 1$ For a son: number of sisters = $d$, number of brothers = $s - 1$ ⇒ $d = 2(s - 1)$ Solving: $s = d - 1$ $d = 2s - 2$ Substitute: $s = (2s - 2) - 1 ⇒ s = 3$.

Jamia Millia Islamia PYQ
A ten-rupee coin is placed on a plain paper. How many coins of the same size can be placed around it so that each one touches the central and adjacent coins?





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

In 2D, at most 6 equal circles can touch another equal circle (kissing number).


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