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quant practice set

Quant Quiz for IBPS PO / RRB / UIICL / OICL

Directions: In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answer:
  1. if x > y
  2.  if x ≥ y
  3.  if x < y
  4. if x ≤ y
  5.  if x = y or relationship between x and y cannot be determined.
1.  
I. x – 9 √3 x + 60 = 0
II. y – 14 √2 y + 96 = 0

2.
 I. 20 x2 – 159 x + 304 = 0
II. 25 y2 – 120 y + 108 = 0

3. 
I. x2 –5 √5 x + 30 = 0
II. y2 – 7 √7 y + 84 = 0

4. 
I. x2 – 14 x + 45 = 0
II. y2 – 20 y + 99 = 0

Directions (Q. 5-7): In the following number series one number is wrong. Find out the wrong number.
5.    289,    360,     529,     841,    961,    1369
  1. 289
  2.  961  
  3. 529  
  4. 1369
  5. 360
6.   197,    233,    297,    396,   541,    737
  1. 396  
  2. 297
  3.  541  
  4. 197    
  5. 737
7.   157,    183,    210,    241,    273,    307
  1. 210
  2. 183
  3. 241
  4. 157
  5. 273
8.  Biswas borrowed a sum of Rs 30,000. He took a part of it at 12% per annum rate of simple interest and the remaining at 10% per annum. At the end of two years, he returned Rs 36480 and discharged his loan. What was the sum borrowed at 12% per annum rate of interest?
  1.  Rs 16000  
  2.  Rs 18000    
  3. Rs 17500    
  4. Rs 12000  
  5. None of these
9. The numerator of a fraction is increased by 1/4 and the denominator is decreased by 1/3 , the fraction thus obtained is 33/64 . What was the original fraction?
  1.  9/11
  2.  5/7 
  3. 3/7    
  4. 11/40    
  5.   None of these
10. A train leaves P for Q at the same time that a train leaves Q for P. The two trains meet at the end of 6 hours. The train from P to Q travelles 8 kilometres an hour more than the other. What would be the speed of the slower train if the distance from P to Q is 528 kilometres?
  1.  40 km/hr  
  2. 30 km/hr  
  3. 48 km/hr  
  4. 50 km/hr  
  5.  Data inadequate
Answers:
  1. 5
  2. 5
  3. 3
  4. 4
  5. 5
  6. 1
  7. 1
  8. 4
  9. 4
  10. 1
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