Puzzle 1
The top eight ranks in a city-level inter-school debate competition are bagged by the students of top three city schools – APS, KCM and VLP. The eight toppers are Ira, Kavya, Charvi, Sana, Jiya, Riya, Tanya and Myra, in no particular order. Three of them study in KCM, three in APS and two in VLP.
1. The girl who gets Rank 1 does not study in VLP.
2. Jiya’s rank is better than that of Kavya.
3. The girl who gets Rank 8 does not study in KCM.
4. Sana studies in APS.
5. Riya’s rank is better than that of both Ira and Sana, but worse than that of both Myra and Kavya.
6. Tanya studies neither in KCM nor in VLP.
7. Jiya, who does not study in KCM, gets Rank 2.
8. Tanya’s rank is worse than that of Sana but better than that of Ira.
9. Myra, who gets Rank 4, studies in APS.
10. Kavya does not study in VLP.
Puzzle-2
Six students – John, Julian, Justin, Jack, Jacob and Joseph – study six different subjects – Math, Geography, Biology, Chemistry, Economics and History – and play six different games – Football, Hockey, Cricket, Tennis, Baseball and Golf – not necessarily in the given order. Two of them are Chinese, two Indian and two Korean.
1. Jacob plays Football and studies History.
2. Jack has the same nationality as the student who plays Tennis.
3. Both Geography and History are studied by Chinese students.
4. Julian studies Chemistry, and doesn’t play Golf.
5. One of the two Korean students studies Economics.
6. Justin and Jacob have different nationalities.
7. The student who plays Golf doesn’t study Biology.
8. Biology is studied by neither of the two Indians.
9. The two students who play Football and Cricket have the same nationality.
10. One of the two Indians studies Chemistry.
11. John is Indian and plays Hockey.
Puzzle-3
There are nine persons Sunil, Anand, Rajan, Sankar, Karthik, Albert, Raman, Murali and Vimal stay on a nine floors building, but not necessarily in the same order. Only one person stays on each floor. All of them have either Mobile or Tablet of different colours i.e. yellow, golden, red, orange, Pink, Blue, Green, silver and grey, but not necessarily in the same order. Only five of them have Tablet. The ground floor is numbered 1 and the topmost floor is numbered 9.
There are two floors between the floors on which the persons having a Blue Mobile and silver Tablet stay. Rajan owns a red Mobile. Albert does not own a grey Mobile. Sunil stays on even numbered floor below the even numbered floor on which Murali stays. The one who own a Pink Tablet stays on the fourth floor. Sankar stays on the second floor and owns the orange Tablet. The one who owns the golden Tablet stays on the topmost floor. Sunil does not own a Green Tablet. Albert owns a Blue Mobile and stays on an odd-numbered floor.
There is only one floor between the floors on which Albert and Raman stay. Karthik stays immediate above the floor on which Vimal stay. Raman does not stay on the ground floor. Anand stays immediate above the floor on which Murali stay. There are three floors between the floors on which Rajan and Albert stay. The one who owns the silver Tablet stays immediate above Raman .Karthik stays on the fourth floor. The one who owns the grey Mobile stays on the third floor.
Directions (Q. 1-10): Two equations (I) and (II) are given in each question. On the basis of these
equations you have to decide the relation between ‘x’ and ‘y’ and give answer.
(1) if x > y
(2) if x < y
(3) if x ≥ y
(4) if x ≤ y
(5) if x = y or no relation can be established between ‘x’ and ‘y’.
1) x² – 6√3x - 48 =0
y² - √2y - 24 = 0
2) x² + 5√3x - 42 = 0
y² - 8√2y + 30 = 0
3) x² - √2x - 24 = 0
y² - 8√3y + 45 = 0
4) 5x² + 4√10x + 8 = 0
4√3y² + 5y - 2√3 = 0
5) 2x² - ( 4+√13)x + 2√13 = 0
10y² - ( 18+5√13)y +9√13 = 0
6) x² + ( √7 - 4)x - 2√28 = 0
√3y² - ( 6-√21)y - 6√7 = 0
7) x² -x - √2x + √2 = 0
y² - 3y + 2 = 0
8) x² - 2x - √5x + 2√5 = 0
y² - √3y - √2y + 6 = 0
9) x² - 7√3x + 36 = 0
y² - 12√2y + 70 = 0
10) x² - 7√7x + 84 = 0
y² - 5√5y + 30 = 0
Solutions :---
1) 5
2) 2
3) 5
4) 5
5) 3
6) 5
7) 5
8) 1
9) 5
10) 1
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