IBPS PO 2017 Practice Test – Quant Day 26

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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. I. 50X² – 40X + 42 = 0
   II. 10Y² + 41Y + 21 = 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 = 7/5, -6/10
   Y = -3/5 , -7/2.
   
   
2. I. 2X² – 15√2X + 56 = 0
   II. 2Y² – 17√2Y + 72= 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 = 7/√2, 8/√2
   Y = 8/√2, 9/√2
   
   
3. I. √2X² + 8X – 64√2 = 0
   II. √2Y² – 27Y + 81√2= 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 = -8√2, 8/√2
   Y = 9/√2, 9√2
   
   
4. I. X² + 25X + 156 = 0
   II. Y² + 29Y + 210 = 0
   A. X > Y
   B. X <Y
   C. X ≥ Y
   D. X ≤ Y
   E. X = Y or relationship cannot be established
   
   Answer & Explanation

   X > Y
   Solution:
   X= -12,- 13
   Y = -14,- 15
   
   
5. I. 3X + 4Y = 64
   II. 2X + 3Y = 56
   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 = -32, Y = 40
   
   

Q(6-10) Study the given table and answer the following questions

6. If the difference between the Profits made by Shop A and Shop B on Mouse is equal to the Profit earned by Shop C on Calculator then his Profit percent is?
   A. 50/13%
   B. 49/11%
   C. 50/11%
   D. 50/23%
   E. Cannot be determined
   
   Answer & Explanation

   C. 50/11%
   Solution:
   2500*(13-9)/100 = Rs 100
   2300 = 2200(100+x)/100
   X = 50/11%
   
   
7. What is the average profit made Shop A, B and C on Mouse?
   A. 345
   B. 335
   C. 325
   D. 315
   E. None
   
   Answer & Explanation

   C. 325
   Solution:
   25*13 = 325
   
   
8. Shop A has made Maximum Profit on which article?
   A. Mouse
   B. Keyboard
   C. Hard Disk
   D. Calculator
   E. Head Phones
   
   Answer & Explanation

   A. Mouse
   Solution:
   Checking by observation
   Mouse : 25*13 = 325
   Hard Disk: 26*12 = 312
   
   
9. If the total profit made by Shop A, B and C on Hard Disk is Rs.988 then what is the profit of B on Hard Disk?
   A. 276
   B. 286
   C. 296
   D. 216
   E. None
   
   Answer & Explanation

   B. 286
   Solution:
   26*(12+x+15) = 988
   X = 11%
   Profit = 26*11 = 286
   
   
10. What is the difference between total profits made Shop A, B and C on Head Phones and Keyboard?
    A. 44
    B. 54
    C. 64
    D. 66
    E. None
    
    Answer & Explanation

    B. 54
    Solution:
    23*(11+18+13) – 24*(12+18+8)
    966 – 912 = 54