Banking Quantitative Aptitude Sample Paper

done Quantitative Aptitude Sample Paper-35 Total Questions - 50    [Download]

• question_answer1)

  In \[\Delta ABC,\]\[\angle A:\angle B:\angle C=2:3:4,\] a line CD drawn perpendicular to AB, then \[\angle ACD\] is            [SSC (CGL) 2013]

  A)
  \[80{}^\circ \]                          
  done clear
  B)
  \[20{}^\circ \]
  done clear
  C)
  \[40{}^\circ \]  
  done clear
  D)
  \[60{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer2)

  Value of \[{{\sec }^{2}}\theta +\frac{{{\sin }^{2}}\theta -2{{\sin }^{4}}\theta }{2{{\cos }^{4}}\theta -{{\cos }^{2}}\theta }\]is                                                         [SSC (CGL) Mains 2014]

  A)
  \[1\]     
  done clear
  B)
  \[2\]    
  done clear
  C)
  \[-\,\,1\]                        
  done clear
  D)
  \[0\]
  done clear
  View Answer play_arrow

• question_answer3)

  Prakash lends a part of Rs. 20000 at 8% simple interest and remaining at \[\frac{4}{3}%\]simple interest. His total income after a year was Rs. 800. Find the sum lent at 8%.                                      [SSC (CGL) Mains 2014]

  A)
  Rs. 8000           
  done clear
  B)
  Rs. 12000
  done clear
  C)
  Rs. 6000                       
  done clear
  D)
  Rs. 10000
  done clear
  View Answer play_arrow

• question_answer4)

  In \[\Delta ABC,\]\[\angle A=90{}^\circ ,\]\[BP\]and \[CQ\] are two medians. Then, the value of \[\frac{B{{P}^{2}}+C{{Q}^{2}}}{B{{C}^{2}}}\]is  [SSC (10+2) 2014]

  A)
  \[\frac{4}{5}\]                          
  done clear
  B)
  \[\frac{5}{4}\]
  done clear
  C)
  \[\frac{3}{4}\]                          
  done clear
  D)
  \[\frac{3}{5}\]
  done clear
  View Answer play_arrow

• question_answer5)

  In an examination, 75% candidates passed in English and 60% passed in Mathematics. 25% failed in both and 240 passed the examination. Find the total number of candidates.                                 [SSC (CPO) 2014]

  A)
  492                              
  done clear
  B)
  300   
  done clear
  C)
  500                              
  done clear
  D)
  400
  done clear
  View Answer play_arrow

• question_answer6)

  On increasing the diameter of a circle by 75%, the percentage increase in the perimeter is [SSC (CGL) 2014]

  A)
  76%                 
  done clear
  B)
  80%  
  done clear
  C)
  65%                 
  done clear
  D)
  70%
  done clear
  View Answer play_arrow

• question_answer7)

  Directions: Study the information carefully to answer the questions that follow.

  [IBPS RRB (Office Assistant) 2012]

  A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced.

  What is the ratio of the number of washing machines to the number of calculators produced by the company?

  A)
  17 : 11             
  done clear
  B)
  19 : 11
  done clear
  C)
  11 : 17             
  done clear
  D)
  19 : 13
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer8)

  Directions: Study the information carefully to answer the questions that follow.

  [IBPS RRB (Office Assistant) 2012]

  A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced.

  If 24% of the pen drives are defective, what is the number of pen drives which are not defective?

  A)
  209      
  done clear
  B)
  215  
  done clear
  C)
  219                              
  done clear
  D)
  225
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer9)

  Directions: Study the information carefully to answer the questions that follow.

  [IBPS RRB (Office Assistant) 2012]

  A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced.

  The number of televisions produced is approximately what per cent of the total number of calculators and washing machines produced together?

  A)
  63                                
  done clear
  B)
  55    
  done clear
  C)
  69                                
  done clear
  D)
  51
  done clear
  E)
  67
  done clear
  View Answer play_arrow

• question_answer10)

  Directions: Study the information carefully to answer the questions that follow.

  [IBPS RRB (Office Assistant) 2012]

  A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced.

  What is the difference between the total number of televisions and mobile phones together and the number of calculators produced?

  A)
  534                              
  done clear
  B)
  524   
  done clear
  C)
  511                              
  done clear
  D)
  523
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer11)

  Directions: Study the information carefully to answer the questions that follow.

  [IBPS RRB (Office Assistant) 2012]

  A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced.

  What is the total number of pen drives, calculators and washing machines produced by the company?

  A)
  907                              
  done clear
  B)
  917   
  done clear
  C)
  925                              
  done clear
  D)
  905
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer12)

  If\[{{\cos }^{4}}x+{{\cos }^{2}}x=1,\] then the value of \[{{\tan }^{4}}x+{{\tan }^{2}}x\]is                                             [SSC (CPO) 2013]

  A)
  \[\frac{1}{4}\]                          
  done clear
  B)
  \[\frac{1}{2}\]
  done clear
  C)
  \[1\]     
  done clear
  D)
   2
  done clear
  View Answer play_arrow

• question_answer13)

  Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers are in the ratio of 3 : 4, then their values are                                                        [SSC (CGL) 2012]

  A)
  12, 16              
  done clear
  B)
  6, 8   
  done clear
  C)
  9, 12                            
  done clear
  D)
  12, 9
  done clear
  View Answer play_arrow

• question_answer14)

  The ratio of weekly incomes of A and B is 9: 7 and the ratio of their expenditures is 4: 3. If each saves Rs. 200 per week, then the sum of their weekly incomes in                                                [SSC (CGL) 2011]

  A)
  Rs. 3600                       
  done clear
  B)
  Rs. 3200
  done clear
  C)
  Rs. 4800                       
  done clear
  D)
  Rs. 5600
  done clear
  View Answer play_arrow

• question_answer15)

  In \[\Delta ABC,\] D and E are points on sides AB and AC, such that \[DE||BC.\]If \[AD=x,\]\[DB=x-2,\] \[AE=x+2,\]\[EC=x-1,\]then the value of x is                                [SSC (CPO) 2013]

  A)
  4         
  done clear
  B)
  2     
  done clear
  C)
  1                                 
  done clear
  D)
  8
  done clear
  View Answer play_arrow

• question_answer16)

  If \[\sin 17{}^\circ =\frac{x}{y},\]then the value of \[\sec 17{}^\circ -\sin 73{}^\circ \]is [SSC (CPO) 2013]

  A)
  \[\frac{{{y}^{2}}-{{x}^{2}}}{xy}\]               
  done clear
  B)
  \[\frac{{{x}^{2}}}{\sqrt{{{y}^{2}}-{{x}^{2}}}}\]
  done clear
  C)
  \[\frac{{{x}^{2}}}{y\sqrt{{{y}^{2}}+{{x}^{2}}}}\]            
  done clear
  D)
  \[\frac{{{x}^{2}}}{y\sqrt{{{y}^{2}}-{{x}^{2}}}}\]
  done clear
  View Answer play_arrow

• question_answer17)

  Directions: In the following number series, only one number is wrong. Find out the wrong number.                                                                                                                                                       [IBPS (PO/MT) CWE 2014]

  41, 45, 61,97, 181, 261, 405

  A)
  181      
  done clear
  B)
  97    
  done clear
  C)
  261                  
  done clear
  D)
  61
  done clear
  E)
  45
  done clear
  View Answer play_arrow

• question_answer18)

  Directions: In the following number series, only one number is wrong. Find out the wrong number.                                                                                                                                                       [IBPS (PO/MT) CWE 2014]

  16, 30, 58, 114, 226, 496, 898

  A)
  58                                
  done clear
  B)
  226   
  done clear
  C)
  30                                
  done clear
  D)
  114
  done clear
  E)
  496
  done clear
  View Answer play_arrow

• question_answer19)

  Directions: In the following number series, only one number is wrong. Find out the wrong number.                                                                                                                                                       [IBPS (PO/MT) CWE 2014]

  15, 21.5, 46.5, 145, 585.5, 2933, 17603.5

  A)
  585.5               
  done clear
  B)
  2933  
  done clear
  C)
  46.5                             
  done clear
  D)
  145
  done clear
  E)
  21.5
  done clear
  View Answer play_arrow

• question_answer20)

  Directions: In these questions two equations numbered I and II are given. You have to solve both the equations and find the correct option.

  I. \[4{{x}^{2}}-29x+45=0\]

  II. \[3{{y}^{2}}-19y+28=0\]

  A)
  \[x<y\]
  done clear
  B)
  \[x>y\]
  done clear
  C)
  \[k\ge y\]                       
  done clear
  D)
  \[k\le y\]
  done clear
  E)
  Relationship between x and y cannot be established
  done clear
  View Answer play_arrow

• question_answer21)

  Directions: In these questions two equations numbered I and II are given. You have to solve both the equations and find the correct option.

  I. \[2{{x}^{2}}-13x+21=0\]

  II. \[5{{y}^{2}}-22y+21=0\]

  A)
  \[x<y\]
  done clear
  B)
  \[x>y\]
  done clear
  C)
  \[k\ge y\]           
  done clear
  D)
  \[k\le y\]
  done clear
  E)
  Relationship between x and y cannot be established
  done clear
  View Answer play_arrow

• question_answer22)

  From the top of a light house at a height 20 m above sea-level, the angle of depression of a ship is \[30{}^\circ .\]The distance of the ship from the foot of the light house is                                                           [SSC (CPO) 2014]

  A)
  \[20\,\,m\]                     
  done clear
  B)
  \[20\sqrt{3}\,\,m\]
  done clear
  C)
  \[30\,\,m\]                     
  done clear
  D)
  \[30\sqrt{3}\,\,m\]
  done clear
  View Answer play_arrow

• question_answer23)

  An alloy contains copper, zinc and nickel in the ratio of 5: 3: 2. The quantity of nickel in kilogram that must be added to 100 kg of this alloy to have the new ratio 5 : 3 : 3 is                                          [SSC (CGL) 2011]

  A)
  8 kg                             
  done clear
  B)
  10 kg
  done clear
  C)
  12kg                             
  done clear
  D)
  15 kg
  done clear
  View Answer play_arrow

• question_answer24)

  \[x=3+2\sqrt{2},\]then the values of \[{{x}^{3}}+\frac{1}{{{x}^{3}}}\] and \[{{x}^{3}}-\frac{1}{{{x}^{3}}}\]are respectively                 [SSC (CGL) 2014]

  A)
  \[140\sqrt{2},\]\[198\]                
  done clear
  B)
  \[234,\]\[216\]
  done clear
  C)
  \[216,\]\[234\]                
  done clear
  D)
  \[198,\]\[140\sqrt{2}\]
  done clear
  View Answer play_arrow

• question_answer25)

  A group consisting of 25  teachers 20 engineers, 18 doctors and 12 salesmen visited a fair and spent Rs. 1330 altogether. It was found that 5 teachers spent as much as 4 engineers, 12 engineers spent as much as 9 doctors and 6 doctors spent as much as 8 salesmen. If every person in a professional group spent the same amount, the amount spent by each engineer is

  A)
  Rs. 18              
  done clear
  B)
  Rs. 17.50
  done clear
  C)
  Rs. 14              
  done clear
  D)
  Rs. 21
  done clear
  View Answer play_arrow

• question_answer26)

  A tank can be filled by pipe A in 2 h and pipe B in 6 h. At 10 am pipe A was opened. At what time will tank be filled if pipe B is opened at 11 am?                                                                             [SSC (CGL) 2013]

  A)
  12: 45 am                     
  done clear
  B)
  5 pm
  done clear
  C)
  11: 48 am         
  done clear
  D)
  12 pm
  done clear
  View Answer play_arrow

• question_answer27)

  The sum \[{{11}^{2}}+{{12}^{2}}+...+{{21}^{2}}=?\]

  A)
  2926
  done clear
  B)
  3017  
  done clear
  C)
  3215                            
  done clear
  D)
  3311
  done clear
  View Answer play_arrow

• question_answer28)

  Find \[x,\]if\[\frac{17}{2}-\left\{ \frac{11}{2}-\left( \frac{15}{2}-\frac{14}{5}\div x \right) \right\}\]  \[\times \frac{17}{4}\div {{\left( \frac{1}{5} \right)}^{2}}=306\]

  A)
  3.2                               
  done clear
  B)
  \[-\,\,3.5\]
  done clear
  C)
  3.8                               
  done clear
  D)
  \[-\,\,3.4\]
  done clear
  View Answer play_arrow

• question_answer29)

  If \[\sqrt{18496}=136,\]then the value of \[\sqrt{18496}+\sqrt{184.96}+\sqrt{1.8496}\] is

  A)
  1486.35            
  done clear
  B)
  150.96
  done clear
  C)
  14.8635            
  done clear
  D)
  1.48635
  done clear
  View Answer play_arrow

• question_answer30)

  Simplify, \[5+[(7-6)+\{(5-3)\div (1-\overline{4-2})\}]\]

  A)
  4         
  done clear
  B)
  3     
  done clear
  C)
  6                                 
  done clear
  D)
  5
  done clear
  View Answer play_arrow

• question_answer31)

  In the figure, \[\angle CAB=72{}^\circ ,\]\[\angle CBA=74{}^\circ \]and \[\angle CED=112{}^\circ \]Find \[\angle CDE.\]

  A)
  \[34{}^\circ \]  
  done clear
  B)
  \[33{}^\circ \]
  done clear
  C)
  \[35{}^\circ \]                          
  done clear
  D)
  \[38{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer32)

  Find \[\frac{{{(288+155)}^{2}}-{{(288-155)}^{2}}}{288\times 155}\]

  A)
  8                                 
  done clear
  B)
  4
  done clear
  C)
  2                                 
  done clear
  D)
  6
  done clear
  View Answer play_arrow

• question_answer33)

  If \[x+y+z=12,\]\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=44,\]then find \[xy+yz+zx.\]

  A)
  26                                
  done clear
  B)
  60   
  done clear
  C)
  36                                
  done clear
  D)
  40
  done clear
  View Answer play_arrow

• question_answer34)

  Find the value of \[m-n,\]if \[\frac{{{9}^{n}}\times {{3}^{2}}\times {{\left( {{3}^{-\frac{n}{2}}} \right)}^{-2}}-{{(27)}^{n}}}{{{3}^{3m}}\times {{2}^{3}}}=\frac{1}{27}\]

  A)
  \[1\]     
  done clear
  B)
  \[-\,\,2\]
  done clear
  C)
  \[-\,\,1\]                        
  done clear
  D)
  \[2\]
  done clear
  View Answer play_arrow

• question_answer35)

  The approximate value of\[25.06\times 2.86+10.12%\]of \[240-15.69%\] of is equal to

  A)
  34                                
  done clear
  B)
  64    
  done clear
  C)
  54                                
  done clear
  D)
  81
  done clear
  View Answer play_arrow

• question_answer36)

  The age of the father is 30 yr more, than the son's age 10 yr. Hence, the father's age will become three times the son's age that time. What is the son's present age in years?                                               [SBI (PO) 2011]

  A)
  8 yr                       
  done clear
  B)
  7 yr
  done clear
  C)
  5 yr
  done clear
  D)
  Cannot be determined
  done clear
  E)
  None of the above
  done clear
  View Answer play_arrow

• question_answer37)

  Mr. X invested a certain amount in debt and equity funds in the ratio of4:5. At the end of one year, he earned a total dividend of 30% on his investment. After one year, he reinvested the amount including the dividend in the ratio of 6: 7 in debt and equity funds. If the amount reinvested in equity funds, was Rs. 94500, what was the original amount invested in equity funds?                                                                                          [SBI (PO) 2011]

  A)
  Rs. 75000         
  done clear
  B)
  Rs. 81000
  done clear
  C)
  Rs. 60000                     
  done clear
  D)
  Rs. 65000
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer38)

  A shopkeeper labelled the price of his articles, so as to earn a profit of 30% on the cost price. Then, he sold the articles by offering a discount of 10% on the labelled price. What is the actual per cent profit earned in the deal? [SBI (PO) 2011]

  A)
  18                        
  done clear
  B)
  15
  done clear
  C)
  20
  done clear
  D)
  Cannot be determined
  done clear
  E)
  None of the above
  done clear
  View Answer play_arrow

• question_answer39)

  If a train runs at 30 km/h it reaches its destination late by 9 min. If it runs at 36 km/h it is late by only 3 min. The correct time for the train to complete its journey is

  A)
  20 min             
  done clear
  B)
  24 min
  done clear
  C)
  27 min 
  done clear
  D)
  26 min
  done clear
  View Answer play_arrow

• question_answer40)

  In a stream running at 2 km/h, a motorboat goes 5 km upstream and back again to the starting point in 1 h 20 min. Find the speed of the motorboat in still water.

  A)
  4 km/h             
  done clear
  B)
  8 km/h
  done clear
  C)
  10 km/h            
  done clear
  D)
  6 km/h
  done clear
  View Answer play_arrow

• question_answer41)

  An aeroplane first flew with a speed of 440 km/h and covered a certain distance. It still had to cover 770 km less than what it had already covered, but it flew with a speed of 660 km/h. The average speed for the entire flight was 500 km/h. Find the total distance covered.

  A)
  3250 km                       
  done clear
  B)
  2750 km
  done clear
  C)
  4400 km                       
  done clear
  D)
  1375 km
  done clear
  View Answer play_arrow

• question_answer42)

  If \[1\,\,c{{m}^{3}}\] of a metal weight 28 g, then the weight of a pipe of length 2 m with a bore 5 cm and in which the thickness of the metal is 1 cm, is

  A)
  105.6 kg           
  done clear
  B)
  50.8 kg
  done clear
  C)
  115.4 kg                       
  done clear
  D)
  45.4 kg
  done clear
  View Answer play_arrow

• question_answer43)

  By mistake instead of dividing Rs. 1692 between A, B and C in the proportion 1/3: 1/4: 1/5, it was divided in the proportion of 3: 4: 5. Who gains most and by what amount?

  A)
  C, Rs. 273        
  done clear
  B)
  B, Rs. 24
  done clear
  C)
  B, Rs. 26                      
  done clear
  D)
  A, Rs. 46
  done clear
  View Answer play_arrow

• question_answer44)

  The value of \[\sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4}}}}...\]

  A)
  \[2\]                 
  done clear
  B)
  \[{{2}^{2}}\] 
  done clear
  C)
  \[{{2}^{3}}\]                          
  done clear
  D)
  \[{{2}^{5}}\]
  done clear
  View Answer play_arrow

• question_answer45)

  When in each box 5 or 6 dozens of apples were packed, three dozens were left. Therefore, bigger boxes were taken to pack 8 or 9 dozens of apples. However still three dozens of apples remained. What was the least number of dozens of apples to be packed?

  A)
  363 dozens        
  done clear
  B)
  315 dozens
  done clear
  C)
  345 dozens                    
  done clear
  D)
  335 dozens
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer46)

  If \[P\,\,(a,0),\]\[Q\,\,(0,b)\] and \[R\,\,(1,1)\] are collinear, then find the value of \[\frac{1}{a}+\frac{1}{b}\]

  A)
  \[2\]                             
  done clear
  B)
  \[1\]
  done clear
  C)
  \[-\,\,1\]                        
  done clear
  D)
  \[0\]
  done clear
  View Answer play_arrow

• question_answer47)

  Even after reducing the marked price of a pen By Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs. 320, what percentage of profit does he make if he sells the pen at the marked price?

  A)
  25%     
  done clear
  B)
  20%  
  done clear
  C)
  10%                             
  done clear
  D)
  30%
  done clear
  View Answer play_arrow

• question_answer48)

  Alok, Armaan and Arun can do a job in 24, 30 and 60 days, respectively. In how many days can Alok do the Work, if he is assisted by Armaan on one day and Arun on the next day alternately. How long the work would take to finish?

  A)
  12 days            
  done clear
  B)
  15 days
  done clear
  C)
  18 days            
  done clear
  D)
  16 days
  done clear
  View Answer play_arrow

• question_answer49)

  The value of \[{{(64)}^{\frac{1}{6}}}\times {{\left( \frac{3}{2} \right)}^{4}}\div {{(121)}^{0}}+{{\left( \frac{1}{3} \right)}^{4}},\]is equal to

  A)
  \[24\]                            
  done clear
  B)
  \[32\]
  done clear
  C)
  \[\frac{161}{648}\]                               
  done clear
  D)
  \[\frac{6569}{648}\]
  done clear
  View Answer play_arrow

• question_answer50)

  Value of the expression \[{{\left[ \frac{{{(\sqrt{4})}^{5}}\times {{(\sqrt{4})}^{-\,\,3}}}{{{(\sqrt{4})}^{-\,\,2}}} \right]}^{\frac{3}{2}}}\]is

  A)
  \[{{2}^{6}}\]  
  done clear
  B)
  \[{{2}^{2}}\]    
  done clear
  C)
  \[{{2}^{8}}\]                          
  done clear
  D)
  \[{{2}^{4}}\]
  done clear
  View Answer play_arrow