IBPS PO 2017 Practice Test – Quant Day 13

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Q(1-5) In the following questions two equations numbered I & II are given. You have to solve both equations and mark the option.

1. X² – 49√2X + 1200 = 0
   Y² – 45√3Y + 1518 = 0
   A. X > Y
   B. X <Y
   C. X ≥ Y
   D. X ≤ Y
   E. X = Y or relationship cannot be established
   

   Answer & Explanation

   B. X <Y
   Solution:
   X = 24√2, 25√2 = 33.94, 35.35
   Y = 23√3, 22√3 = 39.98, 38.10
   Representing on number line we get X<Y
   
   
2. I. X²  + 15√2X + 112 = 0
   II. Y²  + 13√2Y + 84 = 0
   A. X > Y
   B. X <Y
   C. X ≥ Y
   D. X ≤ Y
   E. X = Y or relationship cannot be established
   

   Answer & Explanation

   D. X ≤ Y
   Solution:
   X = -14/√2, -16/√2
   Y = -12/√2, -14/√2 By comparison We get X ≤ Y
   
   
3. I. 6X² – 75√2X + 450 = 0
   II.6Y² – 70√3Y + 588 =0
   A. X > Y
   B. X <Y
   C. X ≥ Y
   D. X ≤ Y
   E. X = Y or relationship cannot be established
   

   Answer & Explanation

   E. X = Y or relationship cannot be established
   Solution:
   X = 15/√2, 5√2 = 10.60, 7.07
   Y = 7√3, 14/√3 = 12.12, 8.08
   
   
4. I. 12X² – 96X + 180 = 0
   II. 6Y² – 20Y + 6 =0
   A. X > Y
   B. X <Y
   C. X ≥ Y
   D. X ≤ Y
   E. X = Y or relationship cannot be established
   

   Answer & Explanation

   C. X ≥ Y
   Solution:
   X = 15/3, 12/4 = 5,3
   Y = 6/2, 1/3 = 3, 0.333
   
   
5. I. X² = 289
   II.Y² – 34Y +289 =0
   A. X > Y
   B. X < Y
   C. X ≥ Y
   D. X ≤ Y
   E. X = Y or relationship cannot be established
   

   Answer & Explanation

   D. X ≤ Y
   Solution:
   X = 17, -17
   Y = 17, 17
   
   

Q(6-10) Find the missing number in the number series.

6. 10, 22, 120, 1176, ?
   A. 16440
   B. 17240
   C. 19840
   D. 20040
   E. None
   

   Answer & Explanation

   C. 19840
   Solution:
   (10+1³)*2 = 22
   (22+2³)*4 = 120
   (120+3³)*8 = 1176
   (1176+4³)*16 = 19840
   
   
7. 12, 13, 44, 423, ?
   A. 6523
   B. 6660
   C. 6960
   D. 6704
   E. None
   

   Answer & Explanation

   D. 6704
   Solution:
   12*1² + 1³ = 13
   13*2² – 2³ = 44
   44*3² + 3³ = 423
   423*4² – 4³ = 6704
   
   
8. 1, 4, 9, 25, 69.5, ?
   A. 219.5
   B. 220.5
   C. 221
   D. 222.5
   E. None
   

   Answer & Explanation

   A. 219.5
   Solution:
   1*1+2+1 = 4
   4*1.5+4- 1 = 9
   9*2 +6 +1 = 25
   25*2.5 +8 -1 =69.5
   69.5*3 +10+1 = 219.5
   
   
9. 365, 365, 372, 346, 409, ?
   A. 285
   B. 326
   C. 378
   D. 426
   E. None
   

   Answer & Explanation

   A. 285
   Solution:
   365 – 1³ + 1  = 365
   365 + 2³ – 1 = 372
   372 – 3³ + 1 = 346
   346 + 4³ – 1 = 409
   409 – 5³ + 1 = 285
   
   
10. 2, 2, 3, 5.5, 12,?
    A. 29
    B. 30
    C. 31
    D. 31.5
    E. None
    

    Answer & Explanation

    C. 31
    Solution:
    2*0.5 +1 = 2
    2*1+1 = 3
    3*1.5 +1 = 5.5
    5.5*2 +1 = 12
    12*2.5 +1 = 31