IBPS PO 2017 DAY 13

     

1) Study the following information carefully and answer the given questions.


 P, Q, R, S, T ,V and W are sitting in a straight line facing north. Each of
them live on a different floor in the same building, which is numbered
from 1 to 7.
Q sits fourth to the left of the person living on the 6th floor. Either Q or
the person living on the 6th floor sits at the extreme at ends of the line.
Only one person sits between Q and W. W lives on the 3rd floor. The
person living on 1st floor sits third to right of S. S is not an immediate
neighbour of W. Only one person lives between T and the person who
lives on the second floor.
P and R are immediate neighbours of each other. P does not live on the
6thfloor.One who lives on 5th floor sits third to right of the one who lives on the 7th Floor .






2) Study the following information carefully and answer the given questions.

Eight persons Kavya, Kirti, Kanishka, Kavita, Kinjal, Kashivi, Kalpana and Kajal live in an eight-storey building. Each of them likes a different cars viz. Duster, Indigo, Safari, Wrangler, Eco sport, Desire, Beetle and Camry, but not necessarily in the same order. The lowermost floor is numbered 1 and the topmost floor is numbered 8. There is only one floor between the one who likes Safari and the one who likes Camry. There are two floors between the one who likes Indigo and Kanishka. Kashivi lives on an even-numbered floor and likes Beetle. Neither Kavya nor Kirti likes Indigo or Eco sport. The one who likes Wrangler lives on ground floor (no. first). There are three floors between the floor on which Kirti lives and the floor on which Kinjal lives. Kashivi lives above Kanishka, who does not live on first floor but likes Duster. Only one person lives between the one who likes Eco sport and the one who likes Indigo. The one who likes Safari lives on the topmost floor. Kajal does not like Safari. Kalpana lives on the floor number which is between Kavya and Kashivi. Kirti lives above Kinjal and Kavya.




3) Study the following information carefully and answer the given questions.

A, B, C, D, E, F and G are seven shopkeepers of different shops, viz Grocery, Cosmetics, Clothes, Footwear, Gift items, Watches and Mobile phones. They go to supermarkets, viz. Big Bazaar, Max, Reliance Trends and Easy Day only on Sunday but not necessarily in the same order. At least one shopkeeper goes to one supermarket, but no super market is visited by more than two shopkeepers.

• F, who is a shopkeeper of Clothes, goes alone to Reliance Trends.
• The one who is a shopkeeper of Footwear does not go to Big Bazaar. Also, he never goes either with E or with G.
• D goes to Easy Day with the person who is the shopkeeper of Mobile phones.
• C goes to Max. G is not a shopkeeper of Mobile phones.
• The one who is the shopkeeper of Footwear goes to the market with the person who is the shopkeeper of Grocery.
• The one who is the shopkeeper of Gift items goes to Easy Day.
• A is a shopkeeper of neither Cosmetics nor Mobile phones.
• The one who is the shopkeeper of Watches goes to Big Bazaar neither with E nor with D.
• The person who is the shopkeeper of Cosmetics goes to the supermarket with A.







Directions (Q. 1-5): 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. I. 6x² - 19x + 15 = 0  II. 10y² - 29y + 21 = 0

2. I. 12x² + 11x - 56 = 0  II. 4y² - 15y + 14 = 0

3. I. 3x² + 13x + 12 = 0 II. y² + 9y + 20 = 0

4. I. 8x² - 15x + 7 = 0 II. 2y² - 7y + 6 = 0

5. I. 7x - 3y = 13 II. 5x + 4y = 40


Directions (Q. 6-10): In the following questions, two equations numbered I and II are given.
You have to solve both the equations 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


6. I. 2x² - 11x + 15 = 0  II. 21y² - 23y + 6 = 0

7. I. 5x² - 16x + 11= 0   II. 5y² - 3y - 2 = 0

8. I. x² + 11x + 28 = 0   II. 2y2 + 13y + 20 = 0

9. I. 6x² + 29x + 35 = 0  II. 3y2 + 19y + 30 = 0


10. I. 2x + 5y = 6     II. 5x + 11y = 9





-------------------------SOLUTION---------------------

1. (3)
2. (4)
3. (1)
4. (2)
5. (2)
6. (1)
7. (3)
8. (4)
9. (1)

10. (2)

IBPS PO 2017 DAY 12

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

IBPS PO 2017 DAY 11

What will come in place of question mark(?) in the following number series?
1). 7  20  46  98  202   ?
a)   310
b)   410
c)   320
d)   330
e)   420

2). 210  209  217  190  254  ?
a)   129
b)   149
c)   249
d)   327
e)   159

3). 27  38  71  126  203   ?
a)   212
b)   202
c)   312
d)   301
e)   302

4). 435  354  282  219  165   ?
a)   103
b)   130
c)   112
d)   120
e)   None of these

5). 4  200  369  513  634   ?
a)   755
b)   734
c)   715
d)   788
e)   None of these

Directions (Q. 6-10): In each of following number series only one number is wrong. Find out that wrong number.
 6). 11  12  28  93  310  1965
a)   12
b)   93
c)   1965
d)   310
e)   28

7). 3  20  87  392  2025  12246
a)   12246
b)   87
c)   392
d)   20
e)   2025

8).12  6.8  7.5  12.75  27.5  71.25
a)   27.5
b)   7.5
c)   12.75
d)   71.25
e)   6.8

9). 5  33  225  1345  6724  26881
a)   225
b)   6724
c)   26881
d)   33
e)   225

10). 225  256  289  344  361  400
a)   225
b)   361
c)   344
d)   256
e)   400








Study the following information and answer the questions.
There are nine persons Prem, Vinoth, Harish, Ramesh, Satish, Atreya, Mohan, Gowtham and Yadav stay on a nine floors building, but not necessarily in the same order. Only one person stays on each floor. All of them clear either SBI PO or IBPS PO examination, Each of them presently working as a clerk in different banks i.e. Andra Bank, Bank of India, Canara Bank, Indian Bank, Syndicate Bank, Punjab National Bank, UCO Bank, Vijaya Bank and IDBI Bank, but not necessarily in the same order. Only five of them clear IBPS PO exam. The ground floor is numbered 1 and the topmost floor is numbered 9. There are two floors between the persons who working in a Punjab National Bank cleared SBI PO exam and who working in Vijaya Bank cleared IBPS PO exam. Harish working in Canara Bank cleared SBI PO exam. Atreya does not working in IDBI Bank but he cleared SBI PO exam. Prem stays on even numbered floor below the even numbered floor on which Gowtham stays. The one who working in Syndicate Bank cleared IBPS PO exam stays on the fourth floor. Ramesh stays on the second floor and working in Indian Bank cleared IBPS PO exam. The one who working in Bank of India cleared IBPS PO exam stays on the topmost floor. Prem does not working in UCO Bank cleared IBPS PO exam. Atreya working in Punjab National Bank cleared SBI PO exam and stays on an odd-numbered floor. There is only one floor between the floors on which Atreya and Mohan stay. Satish stays immediate above the floor on which Yadav stay. Mohan does not stay on the ground floor. Vinoth stays immediate above the floor on which Gowtham stay. There are three floors between the floors on which Harish and Atreya stay. The one who working in Vijaya Bank cleared IBPS PO exam stays immediate above Mohan .Satish stays on the fourth floor. The one who working in IDBI Bank clearedSBI PO exam stays on the third floor.





Study the following carefully and answer the questions given below.
There are eight employees A, B, C, D, E, F, G and H of an organisation working in three departments X, Y and Z. Each of them likes a different colour, viz Black, Brown, Violet, Green, White, Orange, Yellow and Blue, but not necessarily in the same order. There are not more than three employees in any department. 
E likes Brown and does not work in Z department. A does not work in Y department and does not like either Yellow or White. D works in Y department and likes neither Blue nor Yellow B works in X department with only F, who likes Black. H and C do not work in the same department as D. The one who likes Blue works in Y department. The one who likes Orange works in X department. Those who work in Y department like neither White nor Green. C does not like Yellow.




Study the following information carefully and answer the questions. 
A, B, C, D, E, F, G and H are eight members of a family. They belong to three different generations. There are three married couples. All of them are sitting around a circular table, facing the centre but not necessarily in the same order.
· D and F are a married couple. D, the wife of F, sits second to the left of her husband.
· C and A are offspring of D. A is not an immediate neighbour of his mother.
· There is only one person sitting between C and his niece G, but that person is not G’s father.
· E, a bachelor, sits third to the right of his uncle A, but neither to the opposite nor to the immediate left of his father.
· G is not an immediate neighbour of her aunt B. No three females are sitting together.
· C and his sister-in-law are immediate neighbour.






Solution:
1). B) The series is +(13 x 1), + (13 × 2), + (13 x 4),+(13 x 8), +(13 x 16)
ie 7 +13 x 1 = 20, 20 + 13 x2= 46,  46 + 13 x 4 = 98, 98+ 13 × 8 =202,  202 + 13 x 16 = 410, …

2). A) The series is -(1)3,+ (2)3, -(3)3, +(4)3, – (5)3, +(6)3, …
ie 210 - (1)3 = 209, 209 +(2)3 = 217, 217 - (3)3 = 190, 190 + (4)3 = 254, 254 – (5)3 = 129, ….

3). E) The series is +(11 x 1), +(11 × 3),  +(11 x 5), +(11 x 7), +(11 x 9), ...
ie 27 + 11 x 1 = 38, 38 + 11 x 3 = 71, 71 + 11 x 5 = 126, 126 + 11 x 7 = 203, 203 + 11 x 9 = 302, ….

4). D) The given series is -(9 × 9), -(9 x 8), -(9×7), -(9×6), -(9×5), ….
 ie 435 – 9 × 9 = 354, 354 – 9 x 8 = 282, 282 - 9 x 7 = 219, 219 – 9 x 6= 165, 165 - 9 x 5 = 120, …..

5). B) The series is +(14)2, +(13)2, +(12)2, +(11)2, +(10)2, …
ie 4 + 142 = 200, 200 + 132 = 369, 369 + 122 = 513, 513 + 112 = 634, 634 + 102= 734, ….

6). D) The series is 11 x 1 + 12 = 12, 12 x 2 + 22 = 28, 28 x 3 + 32= 93, 93 x 4 + 42 = 388, 388 x 5 + 52 = 1965, ...
There should be 388 in place of 310.

7). A) (3 + 7) x 2 = 20, (20 + 9) x 3 = 87,  (87 + 11) x 4 = 392, (392 + 13) x 5 = 2025, (2025 + 15) x 6 = 12240,
Therefore, there should be 12240 in place of 12246.

8). E) The series is 12 x 0.5 + 0.5 = 6.5, 6.5 x 1 + 1 = 7.5, 7.5 x 1.5 + 1.5 = 12.75, 12.75 x 2 + 2 = 27.5, 27.5 x 2.5 + 2.5 = 71.25, ...
Therefore, there should be 6.5 in place of 6.8.

9). B) The series is 5 x 8 - 7 = 33, 33 x 7 - 6 = 225, 225 x 6 - 5 = 1345, 1345 x 5 - 4 = 6721, 6721 x 4 - 3 = 26881,
Therefore, there should be 6721 in place of 6724.

10). C) The series is (15)2 = 225, (16)2 =256, (17)2 = 289, (18)2 = 324, (19)2 = 361, (20)2  = 400,

Therefore there should be 324 in place of 344.

IBPS PO 2017 DAY 10

   

Directions (Q. 1-5): In each question two equations numbered I and II are given. You have to solve both the equations and mark the answer
a)   If x > y
b)   If x ≥ y
c)   If x < y
d)   If x ≤ y
e)   If x = y or no relation can be established between x and y.

1). I. 4x² – 15x + 14 = 0
II. 6y² – 10y + 4 = 0

2). I. 3x² + 10x + 3 = 0
II. 2y² + 15y + 27 = 0

3). I. 7x² + 12x + 5 = 0
II. 3y² + 7y + 2 = 0

4). I. 16x² – 14x + 3 = 0
II. 6y² – 19y + 15 = 0

5). I. x² + 11x + 18 = 0

II. y² - √81 = 0

Directions (Q. 6-10): In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option. Give answer
a)   If x > y
b)   If x ≥ y
c)   If x < y
d)   If x ≤ y
e)   If x = y or relationship between x and y can’t be established

6). I. 32491/2 x - √625 = 4079
II. 57761/2 - √324 = 4162

7). I. 3x – 2y = 37
II. 5x – 3y = 59

8). I. 9x² + 4x – 28 = 0
II. 2y² – 17y + 36 = 0

9). I. √169 x + 561 = 678
II. √324 y + 678 = 822

10). I. 7x² + 19x – 36 = 0
II. 2y² – 21y – 98 = 0

Study the following information carefully and answer the given questions.

Ten persons Shami, Kushak, Nanda, Pranav, Akil, Dileep, Jayanth, Ganapati, Rohan and Vendan are sitting in two rows with five persons in each row. The persons in row one are facing south and the persons in row two are facing north. Each person in row one faces a person from the other row. All of them have a watch of different companies, viz Maxima, Sonata, Matrix, Fossil, Fastrack, Casio, Timex, Citizen, Titan and Espoir, but not necessarily in the same order.

·        The persons who like Fastrack and Casio sit opposite each other.

·        Dileep sits opposite to Shami, who likes Maxima.

·        The one who likes Sonata sits opposite the one who likes Citizen.

·        Vendan is not facing north but sits third to the left of Jayanth, who likes Sonata.

·        There is only one person between Kushak and Nanda.

·        Akil sits at one of the ends of the row and likes Casio.

·        The one who likes Citizen is on the immediate right of Pranav, who does not like Espoir. 

·        The persons who like Matrix and Fossil respectively are not facing north.

·        Nanda likes Timex. The one who likes Fossil sits opposite the one who is second to the right of Kushak.

·        Rohan does not like Espoir. Akil sits opposite the one who sits second to the left of the one who likes Matrix.

Study the following information carefully and answer the given questions.

Ten Friends are sitting in two parallel rows of six seats each. One seat is vacant in each row. Bhavya, Janvi, Hemanika, Preeti and Dharini are sitting in row-1 facing south. Veni, Radha, Charmy, Nisha and Usha are facing north. Each likes a different brand of Soaps i.e. Hamam, Dove, Lux, Liril, Vivel, Pears, Nivea, Mysore Sandal, Medimix and Margo. Nisha sits third to the right of Charmy and likes Liril. Only two people sit between Radha and the vacant seat. Radha does not like Vivel or Lux Soap. Dharini is not an immediate neighbour of Hemanika. Janvi likes Margo. The one who likes Lux Soap faces the one who likes Mysore Sandal. The one who likes Lux sits opposite to the one who sits third right of the person who sits opposite to Nisha. Hemanika is not an immediate neighbour of Preeti. Usha, who likes neither Vivel nor Pears, does not face the vacant seat. Neither Nisha nor Charmy sits at any of the extreme ends of the row. Preeti faces Charmy. Vacant seats are not opposite to each other. Two seats are there between Hemanika and Janvi, who sits third right of the one who likes Nivea. The one who likes Medimix Soap faces the one who likes Liril. The friends who like the Hamam and Mysore Sandal are adjacent to each other. Vacant seat of row – 1 is not an immediate neighbour of Preeti. Radha sits at one of the extreme ends of the row. Charmy does not like Hamam and Mysore Sandal. Vacant seat of row-1 does not face Nisha who doesn’t sit at any of the extreme ends of the row.

Study the following information carefully and answer the given questions.
A number arrangement machine arranges two digit numbers in typical manner. The first step has been obtained by multiplying the digits in input.Multiplication has not been done in any other steps. They are obtained by applying certain logic. Each step is a resultant of previous step.

1.If each middle digit of all the three numbers in the step I are halved and then added, then what will be the final sum?

4

6.5

3.5

7.5

None of these

2.If the final output is subtracted from ‘5’, then what will be the resultant value?

-2.8

-3.2

2.8

3.2

None of these

3.Which of the following combination represent the first digit of the third number and second digit of the first number in step I of the given input?

(5,2)

(8,3)

(3,8)

(2,5)

(2,4)

4. Which of the following represent the difference between the third digit of the third number and second digit of the first number in step I?

4

5

6

-4

None of these

5.What is the multiplication of three numbers obtained in step II?

100

120

240

220

None of these

 ___________Solution with Explanation_________

1). I. 4x2 – 15x + 14 = 0
x = (-8/7), (-7/4)
x = 2, 1.75
II. 6y2 – 10y + 4 = 0
y = (-6/6), (-4/6)
y = 1, 2/3
Hence, x > y
Answer: a)

2). I. 3x2 + 10x + 3 = 0
x = (9/3), (1/3)
x = -3, -1/3
II. 2y2 + 15y + 27 = 0
y = (9/2), (6/2)
y = -4.5, -3
Hence, x ≥ y
Answer: b)

3). I. 7x2 + 12x + 5 = 0
x = (7/7), (5/7)
x = -1, -5/7
II. 3y2 + 7y + 2 = 0
y = (6/3), (1/3)
y = -2, -1/3
Thus relationship can’t be established.
Answer: e)

4). I. 16x2 – 14x + 3 = 0
x = (-8/16), (-6/16)
x = 1/2, 3/8
 II. 6y2 – 19y + 15 = 0
y = (-10/9), (-9/6)
y = 5/3, 3/2
Hence x < y.
Answer: c)

5). I. x2 + 11x + 18 = 0
x = (9/1), (2/1)
x = -9, -2
II. y2 - √81 = 0
y2  = √81
y2 = 9
y = ±3
Hence, no relation can be established.
Answer: e)

6). I. 32491/2 x - √625 = 4079
or, 57x = 4079 + 25 = 4104
x = 4104/57 = 72
II. 57761/2 - √324 = 4162
Or, 76y = 4162 +18 = 4180
y = 4180/76= 55
Hence x > y
Answer: a)

7). 3x – 2y = 37     …(i)
5x – 3y = 59           …(ii)
Equation (i) × 3 – (ii) × 2
(9x -6y = 111) + (10x – 6y = 118)
x = 7
Putting the value of x in eqn (i) we get
21 – 2y = 37
-2y = 36
y = (-16/2) = -8
Hence x > y
Answer: a)

8). I. 9x2 + 4x – 28 = 0
x = (18/9), (-14/9)
x = -2, 14/9
II. 2y2 – 17y + 36 = 0
Y = (-9/2), (-8/2)
Y = 4.5, 4
Hence x < y
Answer: c)

9). I. √169 x + 561 = 678
13x = 678 – 561 = 117
x = 117/13 = 9
II. √324 y + 678 = 822
18y = 822 – 678 = 144
x = 144/8
Hence x > y
Answer: a)

10). I. 7x2 + 19x – 36 = 0
x = (28/7), (-9/7)
x = -4, 9/7
II. 2y2 – 21y – 98 = 0
y = (-28/2), (7/2)
y = 14, -3.5
Hence relationship can’t be established.

Answer: e)

IBPS PO 2017 DAY 9

Study the following information carefully and answer the given questions.
Eight balls are arranged in a stack from bottom to top numbered from 1-8 each from a different e commerce games; Cricket, Football, Hockey, Golf, Tennis, Rugby, Table Tennis and Badminton not necessarily in the same order.Each ball has different colours viz,Red, Blue, Green, Yellow, White, Black, Pink and Orange not necessarily in the same order. The arrangement is based on the following rules:
• The ball from Tennisgame is kept at an even numbered position 
• There are 3 balls between the ball from Tennisgame and the ball with Orangecolour 
• The ball from Golfgame is either at the top or at the bottom of the stack
• Ball number 2 has Redcolour and it is not from Tennisgame
• Ball with the Whitecolour is kept between the ball from Table Tennisgame and the ball having Yellowcolour
• The ball from Cricketgame is kept one ball above the ball from Hockeygame
• There are 4 balls between the ball with Bluecolour and the ball from Table Tennisgame
• There are 3 balls between the ball with Whitecolour and the ball with Greencolour
• The ball from Badmintongame is between the ball with Pinkcolour and the ball from Rugbygame
• The ball from Table Tennisgame does not have Pinkcolour .




Study the following information carefully and answer the given questions.
Seven games - High jump, Pole vault, Long jump, Triple jump, Shot put, Discus throw and Javelin throw–held on Bhubaneswar on Sunday. Each game starting at different times 4 AM, 7 AM, 8 AM, 10 AM, 1 PM, 3 PM and 6 PM not necessarily in the same order. And ends at different times. 
• Long jump is the earliest to start. Its starting time is not after 7 a.m. and its total time is two hours less than the total time of Discus throw. 
• Since High jumpis the least duration game, it starts before 7 p.m. and the games end at 9 p.m. 
• Triple jumpstarts at Sunday 10 a.m. and takes 19 hours to finish the game. 
• There is a four hour gap between the starting times of Shot put, starting at 8 a.m. and Long jump. 
• Shot put takes one hour more than the total time of Long jump to finish the game. 
• High jumpstarts five hours after Pole vaultstarts but takes only three hours to finish the game. 
• Discus throw and Javelin throw take 10 hours and 8 hours to finish the game. 
• Discus throwstarts at 3 p.m. and there is gap of 8 hours between the starting times of Discus throw and Javelin throw. 
• One game ends at 6 p.m. 






Directions (Q. 1-10): In the following questions numbered I and II are given. You have to solve out the equations and Give answer
a)   if x > y
b)   if x ≥ y
c)   if x < y
d)   if x ≤ y
e)   if x = y or the relationship cannot be established

1). I. x² – 1 = 0
II. y² + 4y + 3 = 0

2). I. x² – 7x + 12 = 0
II. y² – 12y + 32 = 0

3). I. x³ – 371 = 629
II. y³ – 543 = 788

4). I. 5x + 2y = 31
II. 3x + 7y = 36

5). I. 2x² + 11x + 12 = 0
II. 5y² + 27y + 10 = 0

6). I. 4x² + 27x + 35 = 0
 II. 3y² - 23y +42 = 0  

7). I. 9x² + 15x - 14 =0
II.7y² – 23y + 16 =0

8). I.x² = 1156
II. y = 3√(35937)

9). I. 2x - 3y = 43
II. 3x + 4y = -12

10). I. 5x² - 44x + 63 = 0
II. 10y² + 23y + 12 = 0







Solution with Answer keys:

1). B)
I. x2 – 1 = 0
x2 = 1
x = ± 1
II. y2 + 4y + 3 = 0
y2 + y + 3y + 3 = 0
y (y + 1) + 3 (y + 1) = 0
(y + 1) (y + 3) = 0
y = -1, -3
hence x ≥ y

2). D) I. x2 -7x + 12 = 0
x2 - 4x – 3x + 12 = 0
x (x - 4) - 3 (x - 4) = 0
(x - 4) (x -3) = 0
 x = 4, 3
II. y2 - 12y + 32 = 0
y2 - 8y - 4y + 32 = 0
y (y-8) – 4 (y- 8) = 0
(y - 8) (y - 4) = 0
y = 8, 4
Hence, x ≤ y

3). C) I. x3 - 371= 629
x3 = 629 + 371
x3 = 1000
x =10
II. y3 - 543 = 788
y3 = 788 + 543
y3 = 1 331
y = 11
Hence, x< y

4). A) I. 5x + 2y =31} x3 …(i)
II. 3x + 7y = 36} x 5 …(ii)
[ (i) – (ii)] we get
- 29y = - 87
y = 3
By putting value of y in I
 5x + 2 x 3 = 31
5x = 25
x = 5
Hence, x> y

5). E) I. 2x2 + 11x + 12 = 0
2x2 + 8x + 3x + 12 = 0
2x(x+4) + 3(x+4) = 0
 (x + 4) (2x + 3) = 0
x = -4, - (3/2)
II.5y2+27y+10=0
5y2 + 25y + 2y + 10 = 0
5y (y + 5) + 2 (y + 5) = 0
(y + 5) (5y + 2) = 0 
y = -5, -(2/5)
Hence, relationship of x and y cannot be established.

6). C)
I. 4x2 + 27x + 35 = 0
x = +(20/4), +(7/4)
x = -5, -(7/4)
II. 3y2 - 23y +42 = 0 
y = -(14/3), -(9/3)
y = (14/3), 3
hence x < y.

7). C)
I. 9x2 + 15x - 14 =0
x = +(21/9), -(6/9)
x = -(7/3), +(2/3)
II.7y2 – 23y + 16 =0
y = -(16/7), -(7/7)
y = (16/7), 1
hence x < y.

8). E) I.x2 = √1156
x = 1156 =  ± 34
II. y = 3√(35937) = 33
Hence no relation can be established.

9). A) 2x - 3y = 43  ..(i)
3x + 4y = -12   …(ii)
Solving equation (i)×3 – (ii) ×2
(6x – 9y = 129) – (6x + 8y = -24) = -17y = 153
Y = -(153/7) = -9
Putting the value of y in equation (i), we get
2x – 3(-9) = 43
Or, 2x + 27 = 43
X = (43-27) / 2 = 16/2 = 8
Hence x > y

10).A)  I. 5x2 - 44x + 63 = 0
x = -(35/5), -(9/5)
x = 7, (9/5)
II. 10y2 + 23y + 12 = 0
y = (15/10), (8/10)
y = -(3/2), -(4/5)


hence x > y.