SSC Sample Paper

done Mock Test-13 SSC CGL Tear-II Paper-1 Total Questions - 100    [Download]

• question_answer1)
  If \[{{a}^{4}}+{{b}^{4}}={{a}^{2}}{{b}^{2}},\]then\[({{a}^{6}}+{{b}^{6}})\]is equal to
  A)
  0
  done clear
  B)
   1
  done clear
  C)
   \[{{a}^{2}}+{{b}^{2}}\]
  done clear
  D)
   \[{{a}^{2}}+{{b}^{4}}+{{a}^{4}}+{{b}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer2)
  The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number in 25, then the other number is
  A)
  1100
  done clear
  B)
   975     
  done clear
  C)
   900     
  done clear
  D)
   800
  done clear
  View Answer play_arrow

• question_answer3)
  \[(6.5\times 6.5-45.5+3.5\times 3.5)\] is equal to
  A)
  10        
  done clear
  B)
   9      
  done clear
  C)
   7
  done clear
  D)
   6
  done clear
  View Answer play_arrow

• question_answer4)
  If \[x=0.5\] and \[y=0.2\] then \[\sqrt{0.6}\times {{(3y)}^{x}}\] is equal to
  A)
  0.6
  done clear
  B)
   1      
  done clear
  C)
   1.6
  done clear
  D)
   6
  done clear
  View Answer play_arrow

• question_answer5)
  The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10,
  A)
  5 : 6
  done clear
  B)
   5 : 7
  done clear
  C)
   7 : 5    
  done clear
  D)
   6 : 5
  done clear
  View Answer play_arrow

• question_answer6)
  The smallest number, which, when divided by 12 or 10 or 8, leaves remainder 6 in each case, is
  A)
  246
  done clear
  B)
   186    
  done clear
  C)
   126
  done clear
  D)
   66
  done clear
  View Answer play_arrow

• question_answer7)
  If ?b? is the mean proportional of 'a' and 'c', then\[{{(a-b)}^{3}}:{{(b-c)}^{3}}\] is equal to
  A)
   \[a:b\]  
  done clear
  B)
   \[{{a}^{2}}:{{b}^{2}}\]
  done clear
  C)
   \[{{a}^{3}}:{{b}^{3}}\]
  done clear
  D)
   \[{{a}^{3}}:{{c}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer8)
  \[({{1}^{2}}-{{2}^{2}}+{{3}^{2}}-{{4}^{2}}+{{5}^{2}}-{{6}^{2}}+...+{{9}^{2}}-{{10}^{2}})\]is equal to
  A)
   \[-\,\,55\]
  done clear
  B)
   55
  done clear
  C)
   \[-\,\,56\]
  done clear
  D)
   56
  done clear
  View Answer play_arrow

• question_answer9)
  The greatest among the numbers \[\sqrt{2},\]\[\sqrt[3]{3},\]\[\sqrt[4]{5},\]\[\sqrt[6]{6}\] is
  A)
   \[\sqrt{2}\]
  done clear
  B)
   \[\sqrt[3]{3}\]
  done clear
  C)
   \[\sqrt[6]{6}\]   
  done clear
  D)
   \[\sqrt[4]{5}\]
  done clear
  View Answer play_arrow

• question_answer10)
  If \[x=3+\sqrt{8},\] the value of \[\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)\] is
  A)
   \[32\sqrt{2}\]
  done clear
  B)
   \[34\]
  done clear
  C)
   38
  done clear
  D)
   \[40\sqrt{2}\]
  done clear
  View Answer play_arrow

• question_answer11)
  \[\left[ \frac{\sqrt{3}+1}{\sqrt{3}-1}+\frac{\sqrt{2}+1}{\sqrt{2}-1}+\frac{\sqrt{3}-1}{\sqrt{3}+1}+\frac{\sqrt{2}-1}{\sqrt{2}+1} \right]\]is simplified to
  A)
  10        
  done clear
  B)
   12
  done clear
  C)
   14
  done clear
  D)
   18
  done clear
  View Answer play_arrow

• question_answer12)
  The HCF and LCM of two numbers are 18 and 378, respectively. If one of the numbers is 54, then the other number is
  A)
  126      
  done clear
  B)
   144
  done clear
  C)
   198     
  done clear
  D)
   238
  done clear
  View Answer play_arrow

• question_answer13)
  If \[x+y=7,\] then what is the value of\[{{x}^{3}}+{{y}^{3}}+21xy?\]
  A)
  243      
  done clear
  B)
   343
  done clear
  C)
   441     
  done clear
  D)
   729
  done clear
  View Answer play_arrow

• question_answer14)
  A tap can fill an empty tank in 12 h and another tap can empty half the tank in 10 h. If both the taps are opened simultaneously, how long would it take for the empty tank to be filled to half its capacity?
  A)
  30 h     
  done clear
  B)
   20 h
  done clear
  C)
   15 h    
  done clear
  D)
   12 h
  done clear
  View Answer play_arrow

• question_answer15)
  Two successive discounts of 20% and 20% are equivalent to a single discount of
  A)
  42%     
  done clear
  B)
   40%
  done clear
  C)
   36%    
  done clear
  D)
   34%
  done clear
  View Answer play_arrow

• question_answer16)
  A number is increased by 10% and then it is decreased by 10%. The net change in the number is
  A)
  2% decrease                  
  done clear
  B)
   1% increase
  done clear
  C)
   1% decrease     
  done clear
  D)
   No increase or decrease
  done clear
  View Answer play_arrow

• question_answer17)
  At what rate per cent per annum of compound interest, will a sum of money become four times of itself in two years?
  A)
  100      
  done clear
  B)
   75
  done clear
  C)
   50
  done clear
  D)
   20
  done clear
  View Answer play_arrow

• question_answer18)
  The length (in cm) of a chord of a circle of radius 13 cm at a distance of 12 cm from its centre is
  A)
  5
  done clear
  B)
   8
  done clear
  C)
   10       
  done clear
  D)
   12
  done clear
  View Answer play_arrow

• question_answer19)
  The simple interest on a sum of money is \[\frac{1}{9}\]of the principal and the number of years is equal to the rate per cent per annum. The rate of interest per annum is
  A)
   \[1\frac{1}{9}%\]
  done clear
  B)
   \[2\frac{2}{3}%\]
  done clear
  C)
   \[3%\]  
  done clear
  D)
   \[3\frac{1}{3}%\]
  done clear
  View Answer play_arrow

• question_answer20)
  If 50% of \[(p-q)\]=30% of (p + q), then p : q is equal to     
  A)
                                 5 : 3     
  done clear
  B)
   4 : 1   
  done clear
  C)
   3 : 5    
  done clear
  D)
   1 : 4
  done clear
  View Answer play_arrow

• question_answer21)
  One man and one woman together can complete a piece of work in 8 days. A man alone can complete the work in 10 days. In how many days can one woman alone complete the work?
  A)
   \[\frac{140}{9}\]          
  done clear
  B)
   30    
  done clear
  C)
   40
  done clear
  D)
   42
  done clear
  View Answer play_arrow

• question_answer22)
  A train crosses a pole in 15 s and a platform 100 m long in 25 s. Its length (in m) is
  A)
  50
  done clear
  B)
   100    
  done clear
  C)
   150
  done clear
  D)
   200
  done clear
  View Answer play_arrow

• question_answer23)
  If the simple interests on a certain sum of money at 5% per annum for 4 yr and 3 yr differ by Rs. 42, the sum (in Rs.) is
  A)
  840
  done clear
  B)
   820    
  done clear
  C)
   800
  done clear
  D)
   760
  done clear
  View Answer play_arrow

• question_answer24)
  A train is running at 36 km/h. If it crosses a pole in 25 s, its length is
  A)
  248 m
  done clear
  B)
   250 m  
  done clear
  C)
   255 m
  done clear
  D)
   260 m
  done clear
  View Answer play_arrow

• question_answer25)
  The area of a right-angled isosceles triangle having hypotenuse \[16\sqrt{2}\,\,\text{cm}\] is
  A)
   \[144\,\,\text{c}{{\text{m}}^{2}}\]
  done clear
  B)
   \[128\,\,\text{c}{{\text{m}}^{2}}\]
  done clear
  C)
   \[112\,\,\text{c}{{\text{m}}^{2}}\]
  done clear
  D)
   \[110\,\,\text{c}{{\text{m}}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer26)
  The radius of base and slant height of a cone are in the ratio 4 : 7. If its curved surface area is \[792\,\,c{{m}^{2}},\]then the radius (in cm) of its base is \[\left( \text{Use}\,\,\pi =\frac{22}{7} \right)\]
  A)
  8
  done clear
  B)
   12   
  done clear
  C)
   14
  done clear
  D)
   16
  done clear
  View Answer play_arrow

• question_answer27)
  A man travelled a distance of 61 km in 9 h partly on foot at the rate of 4 km/h and partly on bicycle at the rate of 9 km/h. The distance travelled on foot was
  A)
  12 km
  done clear
  B)
   16 km
  done clear
  C)
   20 km
  done clear
  D)
   24 km
  done clear
  View Answer play_arrow

• question_answer28)
  A man goes from a place A to B at a speed of 12 km/h and returns from B to A to a speed of 18 km/h. The average speed for the whole journey is
  A)
   \[14\frac{2}{5}\text{km/h}\]
  done clear
  B)
   15 km/h
  done clear
  C)
   \[15\frac{1}{2}\text{km/h}\]
  done clear
  D)
   16 km/h
  done clear
  View Answer play_arrow

• question_answer29)
  A and B enter into a partnership. A contribute Rs. 8000 and B contributes Rs. 10000. If the profit at the end of the year amounts to Rs. 9360, what would be the share of B in the profit?
  A)
  Rs. 4000
  done clear
  B)
   Rs. 4900  
  done clear
  C)
   Rs. 4500
  done clear
  D)
   Rs. 5200
  done clear
  View Answer play_arrow

• question_answer30)
  20 men or 24 women can complete a piece of work in 20 days. If 30 men and 12 women undertake to complete the work, the work will be completed in
  A)
  10 days
  done clear
  B)
   12 days
  done clear
  C)
   15 days
  done clear
  D)
   16 days
  done clear
  View Answer play_arrow

• question_answer31)
  If the perimeter of a semicircular field is 144 m. then what would be the diameter of the field?
  A)
  28 m
  done clear
  B)
   56 m  
  done clear
  C)
   84 m   
  done clear
  D)
   112 m
  done clear
  View Answer play_arrow

• question_answer32)
  An amount of Rs. 6000 lent at 5% per annual compound interest for 2 yr will become
  A)
  Rs. 600
  done clear
  B)
   Rs. 6600 
  done clear
  C)
   Rs. 6610
  done clear
  D)
   Rs. 6615
  done clear
  View Answer play_arrow

• question_answer33)
  Two pipes, P and Q can fill a cistern in 12 min and 15 min respectively. Both are opened together, but at the end of 3 min, P is turned off. In how many more minutes will Q fill the cistern?      
  A)
       7
  done clear
  B)
   \[7\frac{1}{2}\]
  done clear
  C)
   8
  done clear
  D)
   \[8\frac{1}{4}\]
  done clear
  View Answer play_arrow

• question_answer34)
  A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash is  
  A)
      8.5%
  done clear
  B)
   9.5%            
  done clear
  C)
   10.5%
  done clear
  D)
   12.5%
  done clear
  View Answer play_arrow

• question_answer35)
  The difference between the selling price and cost price of an article is Rs. 210. If the profit per cent is 25, then the selling price of the article is    
  A)
       Rs.950
  done clear
  B)
   Rs.1050   
  done clear
  C)
   Rs.1150
  done clear
  D)
   Rs.1250    
  done clear
  View Answer play_arrow

• question_answer36)
  Tapas works twice as fast as Mihir. If both of them together complete a work in 12 days, Tapas alone can complete it in    
  A)
                       15 days
  done clear
  B)
   18 days  
  done clear
  C)
   20 days
  done clear
  D)
   24 days    
  done clear
  View Answer play_arrow

• question_answer37)
  \[\sqrt[3]{15162+\sqrt{154+\sqrt{225}}}\]is equal to    
  A)
         15        
  done clear
  B)
   25  
  done clear
  C)
   75
  done clear
  D)
   125
  done clear
  View Answer play_arrow

• question_answer38)
  If \[x={{(\sqrt{2}+1)}^{-\,\,\frac{1}{3}}},\]then the value of\[\left( {{x}^{3}}-\frac{1}{{{x}^{3}}} \right)\]is
  A)
  0 
  done clear
  B)
   \[-\,\,\sqrt{2}\]
  done clear
  C)
   \[-\,\,2\]
  done clear
  D)
   \[3\sqrt{2}\]
  done clear
  View Answer play_arrow

• question_answer39)
  A alone can complete a work in 8 days and B alone in 15 days. B alone worked at it for 10 days and then left the work. In how many more days, will A alone complete the remaining work?       
  A)
      5
  done clear
  B)
   \[5\frac{1}{2}\]          
  done clear
  C)
   6
  done clear
  D)
   8   
  done clear
  View Answer play_arrow

• question_answer40)
  The sides of a quadrilateral are in the ratio 3 : 4 : 5 : 6 and its perimeter is 72 cm. The length of its greatest side (in cm) is
  A)
  24
  done clear
  B)
   27     
  done clear
  C)
   30
  done clear
  D)
   36
  done clear
  View Answer play_arrow

• question_answer41)
  If A and B together can complete a work in 12 days, B and C together in 15 days and C and A together in 20 days, then B alone can complete the work in
  A)
  30 days
  done clear
  B)
   25 days
  done clear
  C)
   24 days
  done clear
  D)
   20 days
  done clear
  View Answer play_arrow

• question_answer42)
  If \[a:b:c=(y-z):(z-x):(x-y),\]then the value of\[ax+by+cz\]is
  A)
  1
  done clear
  B)
   3     
  done clear
  C)
   0
  done clear
  D)
   \[-1\]
  done clear
  View Answer play_arrow

• question_answer43)
  A and B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work?
  A)
  16
  done clear
  B)
   15      
  done clear
  C)
   12
  done clear
  D)
   10
  done clear
  View Answer play_arrow

• question_answer44)
  If \[\frac{\sqrt{x+4}+\sqrt{x-4}}{\sqrt{x+4}-\sqrt{x-4}}=2\]then x is equal to
  A)
  2.4
  done clear
  B)
   3.2      
  done clear
  C)
   4
  done clear
  D)
   5
  done clear
  View Answer play_arrow

• question_answer45)
  Two numbers are in the ratio 3 : 5. If each number is increased by 10, the ratio becomes 5:7. The smaller number is
  A)
  9
  done clear
  B)
   12     
  done clear
  C)
   15
  done clear
  D)
   25
  done clear
  View Answer play_arrow

• question_answer46)
  The speeds of two trains are in the ratio 6 : 7. If the second train runs 364 km in 4 h, then the speed of first train is
  A)
  60 km/h
  done clear
  B)
   72 km/h
  done clear
  C)
   78 km/h
  done clear
  D)
   84 km/h
  done clear
  View Answer play_arrow

• question_answer47)
  A person covers half of his journey at 6 km/h and the rest half at the rate of 3 km/h. What is his average speed?
  A)
  2 km/h
  done clear
  B)
   3 km/h 
  done clear
  C)
   4 km/h
  done clear
  D)
   5 km/h
  done clear
  View Answer play_arrow

• question_answer48)
  \[\left( \frac{1+\sqrt{2}}{\sqrt{5}+\sqrt{3}}+\frac{1-\sqrt{2}}{\sqrt{5}-\sqrt{3}} \right)\]simplifies to
  A)
   \[\sqrt{5}+\sqrt{6}\]
  done clear
  B)
   \[2\sqrt{5}+\sqrt{6}\]
  done clear
  C)
   \[\sqrt{5}-\sqrt{6}\]
  done clear
  D)
   \[2\sqrt{5}-3\sqrt{6}\]
  done clear
  View Answer play_arrow

• question_answer49)
  If the percentage of profit calculated on selling price of an article is 20, percentage of profit calculated on cost price will be
  A)
  16        
  done clear
  B)
   24      
  done clear
  C)
   25
  done clear
  D)
   28
  done clear
  View Answer play_arrow

• question_answer50)
  Two successive discounts of 10% and 5% are equivalent to a single discount of
  A)
  14%     
  done clear
  B)
   14.25%
  done clear
  C)
   14.50%
  done clear
  D)
   15%
  done clear
  View Answer play_arrow

• question_answer51)
  If \[0\le \theta \le 90{}^\circ ,\] then \[\left( \frac{5\cos \theta -4}{3-5\sin \theta }-\frac{3+5\sin \theta }{4+5\cos \theta } \right)\] is equal to
  A)
  0
  done clear
  B)
   1
  done clear
  C)
   \[\frac{1}{4}\]
  done clear
  D)
   \[\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer52)
  If   \[3\cos x=5\sin x,\] then   the   value   of \[\frac{5\sin x-2{{\sec }^{3}}x+2\cos x}{2\sin x+2{{\sec }^{3}}x-2\cos x}\] is
  A)
   \[\frac{361}{2397}\]
  done clear
  B)
   \[\frac{271}{979}\]
  done clear
  C)
   \[\frac{541}{979}\]
  done clear
  D)
   \[\frac{127}{979}\]
  done clear
  View Answer play_arrow

• question_answer53)
  What is the value of \[\sqrt{\frac{1+\sin \theta }{1-\sin \theta }}?\]
  A)
   \[\sec \theta -\tan \theta \]
  done clear
  B)
          \[\sec \theta +\tan \theta \]
  done clear
  C)
   \[\text{cosec}\theta \text{+cot}\theta \]
  done clear
  D)
   \[\text{cosec}\theta -\cot \theta \]
  done clear
  View Answer play_arrow

• question_answer54)
  \[\cos \,\,(\alpha +\beta )\cdot \cos \,\,(\alpha -\beta )\]is equal to
  A)
   \[{{\cos }^{2}}\beta -{{\cos }^{2}}\alpha \]
  done clear
  B)
   \[{{\sin }^{2}}\beta -{{\sin }^{2}}\alpha \]
  done clear
  C)
   \[{{\cos }^{2}}\alpha -{{\sin }^{2}}\beta \]
  done clear
  D)
   \[{{\sin }^{2}}\beta -{{\cos }^{2}}\alpha \]
  done clear
  View Answer play_arrow

• question_answer55)
  \[\sin \,\,(\alpha +\beta )\cdot sin\,\,(\alpha -\beta )\] is equal to
  A)
   \[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta \]
  done clear
  B)
   \[{{\sin }^{2}}({{\alpha }^{2}}-{{\beta }^{2}})\]
  done clear
  C)
   \[{{\sin }^{2}}({{\alpha }^{2}}-{{\beta }^{2}})\]     
  done clear
  D)
   \[{{\sin }^{2}}\alpha -{{\sin }^{2}}\beta \]
  done clear
  View Answer play_arrow

• question_answer56)
  Find the value of k for which the pointe \[A\,\,(-1,3),\]\[B\,\,(2,k)\] and \[C\,\,(5,-1)\] are collinear
  A)
  0
  done clear
  B)
   2      
  done clear
  C)
  \[-\,\,1\]
  done clear
  D)
   1
  done clear
  View Answer play_arrow

• question_answer57)
  The centroid of an equilateral triangle is (0, 0). If two vertices of the triangle lie on \[x+y=2\sqrt{2},\]then one of them will have its coordinates
  A)
   \[(\sqrt{2}+\sqrt{6},\sqrt{2}-\sqrt{6})\]
  done clear
  B)
   \[(\sqrt{2}+\sqrt{3},\sqrt{2}-\sqrt{3})\]
  done clear
  C)
   \[(\sqrt{2}+\sqrt{5},\sqrt{2}-\sqrt{5})\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer58)
  If the angle of elevation of a cloud from a point h metre above a lake is p and the angle of depression of its reflection in the lake is a, then the height of the cloud is
  A)
   \[\frac{h\,\,(\alpha -\beta )}{(\alpha -\beta )}\]
  done clear
  B)
   \[h\,\,(\alpha -\beta )\sin \,\,(\alpha -\beta )\]
  done clear
  C)
   \[h\sin \,\,(\alpha +\beta )\,\,(\alpha -\beta )\]
  done clear
  D)
   \[\frac{h\,\,(\alpha +\beta )}{\sin \,\,(\alpha -\beta )}\]
  done clear
  View Answer play_arrow

• question_answer59)
  In figure, AB, EF and CD are parallel lines. Given that GE = 5 cm, GC = 10 cm and DC = 18 cm, then EF is equal to
  A)
  11 cm
  done clear
  B)
   5 cm   
  done clear
  C)
   6 cm   
  done clear
  D)
   9 cm
  done clear
  View Answer play_arrow

• question_answer60)
  In the given figure, AB|| CD, then the values of x, y and z are, respectively
  A)
   \[75{}^\circ ,\]\[35{}^\circ ,\]\[80{}^\circ \]
  done clear
  B)
   \[70{}^\circ ,\]\[35{}^\circ ,\]\[60{}^\circ \]
  done clear
  C)
   \[35{}^\circ ,\]\[70{}^\circ ,\]\[75{}^\circ \]
  done clear
  D)
   \[70{}^\circ ,\]\[35{}^\circ ,\]\[80{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer61)
  In the given figure, PQ is the diameter of a circle with centre at 0. 05 is perpendicular to PR. Then, OS is equal to
  A)
   \[\frac{1}{4}QR\]
  done clear
  B)
   \[\frac{1}{3}QR\]
  done clear
  C)
   \[\frac{1}{2}QR\]
  done clear
  D)
   \[QR\]
  done clear
  View Answer play_arrow

• question_answer62)
  \[\sqrt{3}x-2=2\sqrt{3}+4,\]then value of x is
  A)
   \[2\,\,(1-\sqrt{3})\]
  done clear
  B)
          \[2\,\,(1+\sqrt{3})\]
  done clear
  C)
   \[1+\sqrt{3}\]
  done clear
  D)
   \[1-\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer63)
  Find \[x,\]if \[25x-19-[3-\{4x-5\}]=3x-(6x-5)\]
  A)
   \[x=1\]
  done clear
  B)
   \[x=-1\]
  done clear
  C)
   \[x=\frac{1}{2}\]
  done clear
  D)
   \[x=2\]
  done clear
  View Answer play_arrow

• question_answer64)
  In the given figure, ABCD is a square in which AO = AX. What is \[\angle XOB?\]
  A)
   \[22.5{}^\circ \]
  done clear
  B)
   \[25{}^\circ \]
  done clear
  C)
   \[30{}^\circ \]
  done clear
  D)
   \[45{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer65)
  If \[\frac{2}{x}+\frac{3}{y}=\frac{9}{xy}\]and \[\frac{4}{x}+\frac{9}{y}=\frac{21}{xy},\]where \[x\ne 0\] and \[y\ne 0,\]then what is the value of \[x+y?\]
  A)
  2
  done clear
  B)
   3      
  done clear
  C)
   4
  done clear
  D)
   8
  done clear
  View Answer play_arrow

• question_answer66)
  The LCM of two polynomials \[p\,\,(x)\] and \[q\,\,(x)\]is \[{{x}^{3}}-7x+6.\]If\[p\,\,(x)={{x}^{2}}+2x-3\]and \[q\,\,(x)={{x}^{2}}+x-6,\] then the HCF is
  A)
   \[(x+3)\]
  done clear
  B)
   \[(x-3)\]
  done clear
  C)
   \[(x+3)(x-2)\]
  done clear
  D)
          \[(x-1)\]
  done clear
  View Answer play_arrow

• question_answer67)
  If \[\log {{x}^{2}}{{y}^{2}}=a\]and \[\log \frac{x}{y}=b,\]then \[\frac{\log x}{\log y}\]is equal to
  A)
   \[\frac{a-3b}{a+2b}\]
  done clear
  B)
   \[\frac{a+3b}{a-2b}\]
  done clear
  C)
   \[\frac{a+2b}{a-3b}\]
  done clear
  D)
   \[\frac{a-2b}{a+3b}\]
  done clear
  View Answer play_arrow

• question_answer68)
  In a\[\Delta ABC,\]\[\angle A=90{}^\circ ,\] AL is drawn perpendicular to BC. Then, \[\angle BAL\] is equal to
  A)
   \[\angle ALC\]
  done clear
  B)
   \[\angle ACB\]
  done clear
  C)
   \[\angle BAC\]
  done clear
  D)
   \[\angle B-\angle BAL\]
  done clear
  View Answer play_arrow

• question_answer69)
  A 4 cm cube is cut into 1 cm cubes. What is the ratio of surface area of small cubes to that of the last cube?
  A)
  4 : 1     
  done clear
  B)
   4 : 3
  done clear
  C)
   1 : 4    
  done clear
  D)
   2 : 3
  done clear
  View Answer play_arrow

• question_answer70)
  Two circles touch internally. The sum of there are is \[=\frac{1}{12}-\frac{1}{20}=\frac{5-3}{60}=\frac{1}{30}\] and distance between their circlet 6 cm. Then, the radii of the circles are
  A)
  4 cm and 9 cm
  done clear
  B)
   5 cm and 10 cm
  done clear
  C)
   4 cm and 8 cm
  done clear
  D)
   4 cm and 10 cm
  done clear
  View Answer play_arrow

• question_answer71)
  The lengths of two sides of a right angled triangle which contain the right angle are a and b, respectively. Three squares are drawn on the three sides of the triangle on the outer side. What is the total area of the triangle and the three squares'
  A)
   \[2\,\,({{a}^{2}}+{{b}^{2}})+ab\]
  done clear
  B)
   \[2\,\,({{a}^{2}}+{{b}^{2}})+2.5ab\]
  done clear
  C)
   \[2\,\,({{a}^{2}}+{{b}^{2}})+0.5ab\]
  done clear
  D)
   \[25\,\,({{a}^{2}}+{{b}^{2}})\]
  done clear
  View Answer play_arrow

• question_answer72)
  The difference between outside and inside surface of a cylindrical metallic pipe 14 cm long is \[44\,\,\text{c}{{\text{m}}^{2}},\] If the pipe is made of \[99\,\,\text{c}{{\text{m}}^{3}}\] of metal, the outer and inter radii are, respectively
  A)
  3.5 cm, 3 cm    
  done clear
  B)
   2.5 cm, 2 cm
  done clear
  C)
   4.5 cm, 4 cm   
  done clear
  D)
   4.75 cm, 4.25 cm
  done clear
  View Answer play_arrow

• question_answer73)
  In order to fix an electric pole along a roadside, a pit with dimensions \[50\,\,\text{cm}\times 50\,\,\text{cm}\] is dug with the help of a spade. The pit is prepared by removing Earth by 250 strokes of spade. If one stroke of spade removes \[500\,\,\text{c}{{\text{m}}^{3}}\] of Earth, then what is the depth of the pit?
  A)
  2 m      
  done clear
  B)
   1 m    
  done clear
  C)
   0.75 m
  done clear
  D)
   0.5 m
  done clear
  View Answer play_arrow

• question_answer74)
  Of the two square fields, the area of one is 1 hectare, while the other one is broader by 2%. The difference in their areas is
  A)
   \[104\,\,{{\text{m}}^{2}}\]
  done clear
  B)
   \[200\,\,{{\text{m}}^{2}}\]
  done clear
  C)
   \[204\,\,{{\text{m}}^{2}}\]
  done clear
  D)
   \[404\,\,{{\text{m}}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer75)
  If the diameter of the circle is increased by 100%, its area is increased by
  A)
  100%
  done clear
  B)
   200%  
  done clear
  C)
   300%
  done clear
  D)
   400%
  done clear
  View Answer play_arrow

• question_answer76)
  If \[x:y=2:1,\]then \[(5{{x}^{2}}-13xy+6{{y}^{2}})\]is equal to
  A)
   \[\frac{3}{4}\] 
  done clear
  B)
   \[\frac{4}{3}\]
  done clear
  C)
   0
  done clear
  D)
   \[\frac{55}{4}\]
  done clear
  View Answer play_arrow

• question_answer77)
  At a certain rate of simple interest, a certain sum of money becomes double of itself in 10 yr. It will become treble of itself in
  A)
  15 yr
  done clear
  B)
   18 yr  
  done clear
  C)
   20 yr   
  done clear
  D)
   30 yr
  done clear
  View Answer play_arrow

• question_answer78)
  An article, which is marked Rs. 650, is sold for Rs. 572. The discount given is
  A)
  12%     
  done clear
  B)
   13%   
  done clear
  C)
   21%
  done clear
  D)
   26%
  done clear
  View Answer play_arrow

• question_answer79)
  If the ratio of the cost price and the sale price of an article be 5 : 6, the percentage of gain is
  A)
  25%
  done clear
  B)
   20%
  done clear
  C)
   18%    
  done clear
  D)
   15%
  done clear
  View Answer play_arrow

• question_answer80)
  \[\frac{{{(3.06)}^{3}}-{{(1.98)}^{3}}}{{{(3.06)}^{2}}+3.06\times 1.98+{{(1.98)}^{2}}}\]is equal to
  A)
  1.08     
  done clear
  B)
                      5.04    
  done clear
  C)
   2.16    
  done clear
  D)
   1.92
  done clear
  View Answer play_arrow

• question_answer81)
  If 30% of \[(B-A)=18%\] of (B + A), then the ratio A : B is equal to
  A)
  4 : 1     
  done clear
  B)
   1 : 4    
  done clear
  C)
   5 : 4    
  done clear
  D)
   5 : 9
  done clear
  View Answer play_arrow

• question_answer82)
  At some rate of simple interest, A lent Rs. 6000 to B for 2 yr and Rs. 1500 to C for 4 yr and received Rs. 900 as interest from both of them together. The rate of interest per annum was
  A)
  5%
  done clear
  B)
   6%    
  done clear
  C)
   8%
  done clear
  D)
   10%
  done clear
  View Answer play_arrow

• question_answer83)
  A boat covers 24 km upstream and 36 km downstream in 6 h, while it covers 36 km upstream and 24 km downstream in 6 - h. The speed of the current is
  A)
  1 km/h
  done clear
  B)
   2 km/h
  done clear
  C)
   1.5 km/h
  done clear
  D)
   2.5 km/h
  done clear
  View Answer play_arrow

• question_answer84)
  \[\frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}\]is equal to
  A)
  3
  done clear
  B)
   \[\sqrt{3}\]
  done clear
  C)
   \[3\sqrt{2}\]
  done clear
  D)
   \[2\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer85)
  There are 50 students in a class. Their average weight is 45 kg. When one student leaves the class the average weight reduces by 100g. What is the weight of the student who left the class?
  A)
  45 kg
  done clear
  B)
   47.9 kg
  done clear
  C)
   49.9 kg
  done clear
  D)
   50.1 kg
  done clear
  View Answer play_arrow

• question_answer86)
  Two numbers are in the ratio 3 : 5 and their LCM is 225. The smaller number is
  A)
  45
  done clear
  B)
   60
  done clear
  C)
   75
  done clear
  D)
   90
  done clear
  View Answer play_arrow

• question_answer87)
  If x : y =3 : 2, then the ratio \[2{{x}^{2}}+3{{y}^{2}}:3{{x}^{2}}-2{{y}^{2}}\]is equal to
  A)
  19 : 30
  done clear
  B)
   30 : 19
  done clear
  C)
   19 : 39
  done clear
  D)
   39 : 19
  done clear
  View Answer play_arrow

• question_answer88)
  30 pens and 75 pencils altogether were purchased for Rs. 510. If the average price of a pencil was? 2, what was the average price of a pen?
  A)
  Rs. 9    
  done clear
  B)
   Rs. 10
  done clear
  C)
   Rs. 11
  done clear
  D)
   Rs. 12
  done clear
  View Answer play_arrow

• question_answer89)
  A's income is 10% more than B's income. How much per cent is B's income less than A's income?
  A)
  10%     
  done clear
  B)
   9%
  done clear
  C)
   \[11\frac{1}{9}%\]
  done clear
  D)
   \[9\frac{1}{11}%\]
  done clear
  View Answer play_arrow

• question_answer90)
  A man can row three-quarters of a kilometer against the stream in \[11\frac{1}{4}\]min and return in \[7\frac{1}{2}\] min. The speed to the man in still water is
  A)
  2 km/h
  done clear
  B)
   3 km/h
  done clear
  C)
   4 km/h
  done clear
  D)
   5 km/h
  done clear
  View Answer play_arrow

• question_answer91)
  In an examination, a. student had to obtain 33% of the maximum marks to pass. He got 125 marks and failed by 40 marks. The maximum marks were
  A)
  500      
  done clear
  B)
   600   
  done clear
  C)
   800
  done clear
  D)
   1000
  done clear
  View Answer play_arrow

• question_answer92)
  One quality of wheat at Rs. 9.30 per kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth Rs. 10 per kg, what is the rate per kg of the second quality of wheat?
  A)
  Rs. 10.30
  done clear
  B)
   Rs. 10.60
  done clear
  C)
   Rs. 10.80
  done clear
  D)
   Rs. 11
  done clear
  View Answer play_arrow

• question_answer93)
  A man can row 6 km/ h in still water. It takes him twice as long to row up as to row down the river. Find the rate of the stream.
  A)
  6 km/h
  done clear
  B)
   2 km/h
  done clear
  C)
   3 km/h
  done clear
  D)
   4 km/h
  done clear
  View Answer play_arrow

• question_answer94)

  Directions: In each of the following number series is a wrong number. Find out the wrong number.

  3, 10, 27, 4, 16, 64, 5, 25, 125
  A)
  3
  done clear
  B)
   4        
  done clear
  C)
   10
  done clear
  D)
   27
  done clear
  View Answer play_arrow

• question_answer95)

  Directions: In each of the following number series is a wrong number. Find out the wrong number.

  25, 36, 49, 81, 121, 169, 225
  A)
  36
  done clear
  B)
   49      
  done clear
  C)
   169
  done clear
  D)
   225
  done clear
  View Answer play_arrow

• question_answer96)

  Directions: Study the following table carefully and answer the questions given below.

  Quantity of Various Food Items used by a Restaurant During the First a Half of a Year (in kg)

  Food Items Jan Feb March April May June Rice 250 230 210 260 240 220 Wheat 320 340 280 290 300 360 Sugar 240 210 200 210 160 150 Pulses 360 300 320 245 235 250 Vegetables 380 390 385 375 355 370 Miscellaneous 460 485 440 460 475 480

  The quantity of sugar used in the month of April is approximately what per cent of the total quantity of food items used in the same month?
  A)
  21%     
  done clear
  B)
   18%   
  done clear
  C)
   11%    
  done clear
  D)
   25%
  done clear
  View Answer play_arrow

• question_answer97)

  Directions: Study the following table carefully and answer the questions given below.

  Quantity of Various Food Items used by a Restaurant During the First a Half of a Year (in kg)

  Food Items Jan Feb March April May June Rice 250 230 210 260 240 220 Wheat 320 340 280 290 300 360 Sugar 240 210 200 210 160 150 Pulses 360 300 320 245 235 250 Vegetables 380 390 385 375 355 370 Miscellaneous 460 485 440 460 475 480

  What is the difference between the average quantity of rice used in. all the given months together and the average quantity of wheat used in all the given months together?
  A)
  60 kg
  done clear
  B)
   75 kg
  done clear
  C)
   80 kg
  done clear
  D)
   90 kg
  done clear
  View Answer play_arrow

• question_answer98)

  Directions: Study the following table carefully and answer the questions given below.

  Quantity of Various Food Items used by a Restaurant During the First a Half of a Year (in kg)

  Food Items Jan Feb March April May June Rice 250 230 210 260 240 220 Wheat 320 340 280 290 300 360 Sugar 240 210 200 210 160 150 Pulses 360 300 320 245 235 250 Vegetables 380 390 385 375 355 370 Miscellaneous 460 485 440 460 475 480

  What is the average quantity of miscellaneous items used in all the given months together? (Rounded off to two digits after decimal)
  A)
  386.45 kg
  done clear
  B)
   441.28 kg
  done clear
  C)
   356.56 kg
  done clear
  D)
   466.67 kg
  done clear
  View Answer play_arrow

• question_answer99)

  Directions: Study the following table carefully and answer the questions given below.

  Quantity of Various Food Items used by a Restaurant During the First a Half of a Year (in kg)

  Food Items Jan Feb March April May June Rice 250 230 210 260 240 220 Wheat 320 340 280 290 300 360 Sugar 240 210 200 210 160 150 Pulses 360 300 320 245 235 250 Vegetables 380 390 385 375 355 370 Miscellaneous 460 485 440 460 475 480

  What is the difference between the total quantity a pulses and the total quantity of vegetables used during the given months?
  A)
  545 kg
  done clear
  B)
   540 kg
  done clear
  C)
   380 kg
  done clear
  D)
   450 kg
  done clear
  View Answer play_arrow

• question_answer100)

  Directions: Study the following table carefully and answer the questions given below.

  Quantity of Various Food Items used by a Restaurant During the First a Half of a Year (in kg)

  Food Items Jan Feb March April May June Rice 250 230 210 260 240 220 Wheat 320 340 280 290 300 360 Sugar 240 210 200 210 160 150 Pulses 360 300 320 245 235 250 Vegetables 380 390 385 375 355 370 Miscellaneous 460 485 440 460 475 480

  What is the respective ratio of the total quantity of food items used in the month of March to the total quantity of food items used in the month of Apn9
  A)
  366 : 367
  done clear
  B)
   361 : 365
  done clear
  C)
   367 : 368
  done clear
  D)
   248 : 245
  done clear
  View Answer play_arrow