# 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

1. 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%
2. 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
3. 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
4. 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
5. 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
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