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6.
A sum of Rs. 750 is distributed among A, B, C and D in such a manner that A gets as much as B and C together, B gets Rs. 125 more than C and D gets as much as C. What is As share?
  • A.
    Rs. 100
  • C.
    Rs. 275
  • B.
    Rs. 225
  • D.
    Rs. 325
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Answer : [D]
Explanation :
 
Let D's share = Rs. x. Then, C's share = Rs. x.
 
B's share = Rs. (x + 125). A's share = Rs. (x + x + 125) = Rs. (2x + 125)
 
 
  (2x + 125) + (x + 125) + x + x = 750    
 
 
  5x = 500    
 
 
  x = 100    
 
Hence, A's share = 2x + 125 = Rs. (2 x 100 + 125) = Rs. 325.
 
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7.
In a classroom, if 6 students per bench are assigned to accommodate all students, one more bench will be required. However, if 7 students are accommodated per bench, there would be a space left for 5 students. What is the number of students in the class?
  • A.
    30
  • C.
    72
  • B.
    42
  • D.
    None of these
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Answer : [C]
Explanation :
 
Let the number of benches in the class be x.
 
Then, 6 (x + 1) = 7x - 5
 
 
  x = 11  
 
Hence, number of students in the class = 6 (x + 1) = 6 x 12 = 72.
 
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8.
The value of 0.008 x 0.01 x 0.0072 (0.12 x 0.0004) is :    
  • A.
    0.012
  • C.
    1.02
  • B.
    0.12
  • D.
    1.2
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Given exp. = 0.008 x 0.01 x 0.0072 0.000048
 
  = 0.00008 x
0.0072
0.000048
=
8
48
x
72
1000
 = 0.012
 
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9.
One-third of the boys and one-half of the girls of a collage participated in a social work project. If the number of participating students in 300 out of which 100 are boys, what is the total number of students in the college?
  • A.
    500
  • C.
    700
  • B.
    600
  • D.
    800
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Answer : [C]
Explanation :
 
Number of boys who participate = 100
 
 
 
1
3
 of boys = 100 or total number of boys = 300    
 
Number of girls who participate = 200
 
 
 
1
2
 of girls = 200 or total number of girls = 400    
 
Hence, total number of students = (300 + 400) = 700
 
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10.
It costs Rs. x each to make the first thousand copies of a compact disc and Rs. y to make each subsequent copy. If z is greater than 1000, how much will it cost to make z copies of the compact disc?
  • A.
    zx - zy
  • C.
    1000 (x - y) + yz
  • B.
    1000x + yz
  • D.
    1000 (z - y) + xz
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Answer : [C]
Explanation :
 
Required cost = Rs. [1000 x x + (z - 1000) x y] = Rs. (1000x + zy - 1000y)  
 
  = Rs. [1000 (x - y) + yz]  
 
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