Railways Quantitative Aptitude Ratio and Proportion Sample Paper

done Ratio, Proportion & Partnership Sample Test Paper-6 Total Questions - 20    [Download]

• question_answer1)
  There is a ratio of 5 : 4 between two numbers. If 40 % of the first number is 12 then what would be the 50% of the second number?
  A)
   12       
  done clear
  B)
          24
  done clear
  C)
   18                   
  done clear
  D)
   None of these.
  done clear
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• question_answer2)
  An amount of money is to be distributed among P, Q and R in the ratio of 5 : 8 : 12 respectively. If the total share of Q and R is four times that of P. what is definitely P's share?
  A)
   Rs. 3000          
  done clear
  B)
   Rs. 5000
  done clear
  C)
   Rs. 8000          
  done clear
  D)
   Data insufficient.
  done clear
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• question_answer3)
  The numerator and denominator of a fraction are in the ratio of 2 : 3. If 6 is subtracted from the numerator, the result is a fraction that has a value 2/3 of the original fraction. The numerator of the original fraction is
  A)
   6                    
  done clear
  B)
   18     
  done clear
  C)
   27                   
  done clear
  D)
   36
  done clear
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• question_answer4)
  If A : B : C = 2 : 3 : 4. Then \[\frac{A}{B}:\frac{B}{C}:\frac{C}{A}\] is equal to
  A)
   4 : 9 : 16         
  done clear
  B)
   8 : 9 : 12
  done clear
  C)
   8 : 9 : 16         
  done clear
  D)
   8 : 9 : 24
  done clear
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• question_answer5)
  In a school, the ratio of boys to girls is 4 : 5. When 100 girls leave the school, the ratio becomes 6 : 7. How many boys are there in the school?
  A)
   1600   
  done clear
  B)
   1500
  done clear
  C)
   1300               
  done clear
  D)
   None of these
  done clear
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• question_answer6)
  A person distributes his pens among four friends A, B, C, D in the ratio \[\frac{1}{3}:\frac{1}{4}:\frac{1}{5}:\frac{1}{6}.\] The minimum number of pens that the person should have is
  A)
   59                   
  done clear
  B)
   58       
  done clear
  C)
   57                   
  done clear
  D)
   50
  done clear
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• question_answer7)
  What least number must be subtracted from each of the numbers 21, 38, 55 and 106 so that they becomes in proportional.
  A)
   2                    
  done clear
  B)
   3       
  done clear
  C)
   4        
  done clear
  D)
   5
  done clear
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• question_answer8)
  The third proportional between \[({{a}^{2}}-{{b}^{2}})\] and \[({{a}^{2}}+{{b}^{2}})\] is
  A)
   \[\frac{a+b}{a-b}\]      
  done clear
  B)
   \[\frac{a-b}{a+b}\]
  done clear
  C)
   \[\frac{{{(a-b)}^{2}}}{a+b}\] 
  done clear
  D)
   \[\frac{{{(a+b)}^{3}}}{a-b}\]
  done clear
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• question_answer9)
  If \[\frac{5x-3y}{5y-3x}=\frac{3}{4},\] then value of \[\frac{x}{y}\] is
  A)
   2 : 9    
  done clear
  B)
   7 : 2
  done clear
  C)
   7 : 9                
  done clear
  D)
   None of these.
  done clear
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• question_answer10)
  Some 1 rupee, 50 paisa and 25 paise coins make up Rs. 93.75 and their number are in proportion 3: 4: 5. The number of each type of coins, are
  A)
   40, 70, 75        
  done clear
  B)
   46, 58, 75
  done clear
  C)
   42, 56, 70
  done clear
  D)
   45, 60, 75
  done clear
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• question_answer11)
  If \[(a+b):(b+c):(c+a)=6:7:8\] and \[a+b+c=14,\] then the value of ?c? is
  A)
   8                    
  done clear
  B)
   7        
  done clear
  C)
   6        
  done clear
  D)
   12
  done clear
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• question_answer12)
  The monthly salary of A, B and C is in the proportion 2 : 3 : 5. If C's monthly salary is Rs. 1200 more than A's monthly salary then B's annual salary is
  A)
   Rs. 14400        
  done clear
  B)
   Rs. 24000 
  done clear
  C)
   Rs. 1200          
  done clear
  D)
   Rs. 2000
  done clear
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• question_answer13)
  In 30 litres mixture of milk and water, the ratio of milk and water is 7 : 3. Find the quantity of water to be added in the mixture in order to make this ratio 3: 7.
  A)
   30 litres
  done clear
  B)
   40 litres 
  done clear
  C)
   20 litres
  done clear
  D)
   10 litres
  done clear
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• question_answer14)
  The ratio of three numbers is 3 : 4 : 5 and sum of their squares is 1250. The sum of the numbers is
  A)
   30                   
  done clear
  B)
   50      
  done clear
  C)
   60                   
  done clear
  D)
   90
  done clear
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• question_answer15)
  The sum of three numbers is 98. If the ratio of first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is
  A)
   20                   
  done clear
  B)
   30      
  done clear
  C)
   48                   
  done clear
  D)
   58
  done clear
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• question_answer16)
  Two whole numbers whose sum is 72 cannot be in the ratio
  A)
   5 : 7                
  done clear
  B)
   4 : 5   
  done clear
  C)
   3 : 5    
  done clear
  D)
   3 : 4
  done clear
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• question_answer17)
  Seats for mathematics, physics and biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. The ratio of increased seats will be
  A)
   2 : 3 : 4
  done clear
  B)
          6 : 8 : 9
  done clear
  C)
   6 : 7 : 8           
  done clear
  D)
   None of these.
  done clear
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• question_answer18)
  The ages of A and B are in the ratio 3: 1. 15 year hence the ratio will be 2 : 1. Their present ages are
  A)
   45 yrs, 15 yrs
  done clear
  B)
   60 yrs, 20 yrs
  done clear
  C)
   30 yrs, 10 yrs
  done clear
  D)
   21 yrs, 7 yrs
  done clear
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• question_answer19)
  The sides of a triangle are in the ratio \[\frac{1}{2}:\frac{1}{3}:\frac{1}{4}\]and its perimeter is 104 cm. The length of the longest side is
  A)
   48 cm 
  done clear
  B)
   32 cm
  done clear
  C)
   26 cm 
  done clear
  D)
   52 cm.
  done clear
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• question_answer20)
  If \[(x+4):(3x+15)\] is the triplicate of 2 : 3, then the value of x is
  A)
   1                    
  done clear
  B)
   3
  done clear
  C)
   4                    
  done clear
  D)
   None of these
  done clear
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