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26.
There are two examination rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
  • A.
    20
  • C.
    100
  • B.
    80
  • D.
    200
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Answer : [C]
Explanation :
 
Let the number of students in rooms A and B be x and y respectively. Then,
 
x 10 = y + 10    x - y = 20 ...(i) and x + 20 = 2 (y - 20)    x - 2y = -60 ... (ii)  
 
Solving (i) and (ii), we get : x = 100, y = 80.
 
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27.
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
  • A.
    22
  • C.
    24
  • B.
    23
  • D.
    26
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the number of hens be x and the number of cows be y. Then,
 
x + y = 48 ...(i) and 2x + 4y = 140    x + 2y = 70 ...(ii)      
 
Solving (i) and (ii), we get : x = 26, y = 22.
 
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28.
If a * b = 2a 3b + ab, then 3 * 5 + 5 * 3 is equal to :
  • A.
    22
  • C.
    26
  • B.
    24
  • D.
    28
  • Answer & Explanation
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Answer : [A]
Explanation :
 
3 * 5 + 5 * 3 = (2 x 3 3 x 5 + 3 x 5) + (2 x 5 3 x 3 + 5 x 3)
 
  = (6 + 10 9 + 15) = 22  
 
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29.
2.375 x 5.22 0.87 - 1.425 x 0.02 = ?  
  • A.
    0.142215
  • C.
    14.2215
  • B.
    1.42215
  • D.
    None of these
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Given exp. = 2.375 x
522
87
 - 0.0285      
 
  = 2.375 x 6 - 0.0285  
 
  = 14.25 - 0.0285  
 
  = 14.2215  
 
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30.
A bonus of Rs. 1000 is to be divided among three people so that Rohit receives twice as much as Sachin, who receives one-fifth as much as Gagan. How much money should Gangan receive?
  • A.
    Rs. 100
  • C.
    Rs. 375
  • B.
    Rs. 250
  • D.
    Rs. 625
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let Gagan's share = Rs. x
 
Then, Sachin's share = Rs.  
x
5
   and Rohit's share = Rs.  
2x
5
         
 
 
 
2x
5
+
x
5
 + x = 1000        
 
 
  8x = 5000    
 
 
  x = 625    
 
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