SSC Sample Paper

done Mock Test-9 SSC CGL Tear-II Paper-1 Total Questions - 100    [Download]

• question_answer1)
  If \[\frac{2a-5b}{3a+6b}=\frac{4}{7},\] then a : b is equal to
  A)
  21 : 36
  done clear
  B)
   2 : 59
  done clear
  C)
   59 : 2
  done clear
  D)
   36 : 21
  done clear
  View Answer play_arrow

• question_answer2)
  Simplify \[\frac{0.05\times 0.05\times 0.05-0.04\times 0.04\times 0.04}{0.05\times 0.05+0.002+0.04\times 0.04}\]
  A)
  1
  done clear
  B)
   0.1
  done clear
  C)
   0.01    
  done clear
  D)
   0.001
  done clear
  View Answer play_arrow

• question_answer3)
  If \[{{(102)}^{2}}=10404,\] then the value of\[\sqrt{104.04}+\sqrt{1.0404}+\sqrt{0.010404}\] is equal to
  A)
  0.306
  done clear
  B)
   0.0306
  done clear
  C)
   11.122
  done clear
  D)
   11.322
  done clear
  View Answer play_arrow

• question_answer4)
  The product of two numbers is 120. The sum of their squares is 289. The difference of these two numbers is
  A)
  9
  done clear
  B)
   7
  done clear
  C)
   8
  done clear
  D)
   6
  done clear
  View Answer play_arrow

• question_answer5)
  The HCF of two numbers 12906 and 14818 is 478. Their LCM is
  A)
  400086
  done clear
  B)
   200043
  done clear
  C)
   600129
  done clear
  D)
   800172
  done clear
  View Answer play_arrow

• question_answer6)
  The HCF and LCM of two numbers are 11 and 385, respectively. The numbers are
  A)
  11 and 385 or 55 and 57
  done clear
  B)
   55 and 77
  done clear
  C)
   11 and 385
  done clear
  D)
   22 and 770
  done clear
  View Answer play_arrow

• question_answer7)
  If\[\frac{a}{3}=\frac{b}{4}=\frac{c}{7},\]then \[\frac{a+b+c}{c}\]is equal to
  A)
  0
  done clear
  B)
   1
  done clear
  C)
   2
  done clear
  D)
   3
  done clear
  View Answer play_arrow

• question_answer8)
  If \[{{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{3}}+{{5}^{3}}+{{6}^{3}}=441,\] then find the value of \[{{2}^{3}}+{{4}^{3}}+{{6}^{3}}+{{8}^{3}}+{{10}^{3}}+{{12}^{3}}\]
  A)
  882      
  done clear
  B)
   1323
  done clear
  C)
   1764
  done clear
  D)
   3528
  done clear
  View Answer play_arrow

• question_answer9)
  A man sells 320 mangoes at the cost price 400 mangoes. His gain per cent is 
  A)
                10%     
  done clear
  B)
   15%
  done clear
  C)
   20%    
  done clear
  D)
   25%
  done clear
  View Answer play_arrow

• question_answer10)
  The perimeter of a rectangle is 160 m and the difference of two sides is 48 m. Find the side of a square whose area is equal to the area of this rectangle
  A)
  32 m
  done clear
  B)
   8 m     
  done clear
  C)
   4 m     
  done clear
  D)
   16 m
  done clear
  View Answer play_arrow

• question_answer11)
  If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs. 36.60, then the sum is
  A)
  Rs. 8000
  done clear
  B)
   Rs. 8400       
  done clear
  C)
   Rs. 4400
  done clear
  D)
   Rs. 4800    
  done clear
  View Answer play_arrow

• question_answer12)
  A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs. 880, is
  A)
  Rs. 704
  done clear
  B)
   Rs. 640  
  done clear
  C)
   Rs. 774
  done clear
  D)
   Rs. 680 
  done clear
  View Answer play_arrow

• question_answer13)
  Kamal can do a work in 15 day. Bimal is 50% more efficient than Kamal in doing the work. In how many days will Bimal do that work? 
  A)
         14 days
  done clear
  B)
   12 days      
  done clear
  C)
   10 days
  done clear
  D)
   \[10\frac{1}{2}\]days      
  done clear
  View Answer play_arrow

• question_answer14)
  The value of \[\sqrt{11+2\sqrt{30}}-\frac{1}{\sqrt{11+2\sqrt{30}}}\] is   
  A)
   \[2\sqrt{5}\]
  done clear
  B)
   \[2\sqrt{6}\]
  done clear
  C)
   \[1+\sqrt{6}\]
  done clear
  D)
   \[1+\sqrt{5}\]
  done clear
  View Answer play_arrow

• question_answer15)
  If A : B = 3 : 4, B : C = 5 : 7 and C : D = 8 : 9, then is equal to      
  A)
                              3 : 7     
  done clear
  B)
   7 : 3   
  done clear
  C)
   21 : 10
  done clear
  D)
   10 : 21
  done clear
  View Answer play_arrow

• question_answer16)
  A sum doubles itself in 6 yr at compound interest. The sum will be eight times at the same rate of interest in 
  A)
                              15 yr
  done clear
  B)
   12 yr        
  done clear
  C)
   18 yr   
  done clear
  D)
   10 yr
  done clear
  View Answer play_arrow

• question_answer17)
  The diagonal of a square A is (a + b). The diagonal of a square whose area is twice the area of square A, is
  A)
   \[2\,\,(a+b)\]
  done clear
  B)
   \[2\,\,{{(a+b)}^{2}}\]
  done clear
  C)
   \[\sqrt{2}\,\,(a+b)\]
  done clear
  D)
   \[\sqrt{2}\,\,(a-b)\]
  done clear
  View Answer play_arrow

• question_answer18)
  The ratio of two numbers is 10 : 7 and their difference is 105. The sum of these numbers is
  A)
  595      
  done clear
  B)
   805
  done clear
  C)
   1190   
  done clear
  D)
   1610
  done clear
  View Answer play_arrow

• question_answer19)
  A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?
  A)
  25
  done clear
  B)
   75
  done clear
  C)
   50
  done clear
  D)
   125
  done clear
  View Answer play_arrow

• question_answer20)
  380 mangoes are distributed among some boys and girls who are 85 in number. Each boy gets four mangoes and each girl gets five. The number of boys is
  A)
  15
  done clear
  B)
   38
  done clear
  C)
   40
  done clear
  D)
   45
  done clear
  View Answer play_arrow

• question_answer21)
  The ratio of the number of students in three classes is 2 : 3 : 5. If 20 students are increased in each class, the ratio becomes 4 : 5 : 7, what was the total number of students before the increase?
  A)
  10
  done clear
  B)
   90
  done clear
  C)
   100     
  done clear
  D)
   110
  done clear
  View Answer play_arrow

• question_answer22)
  Find the length of the largest rod that can be placed in a room 16 m long, 12 m broad and \[10\frac{2}{3}\text{m}\] high.
  A)
   \[23\,\,\text{m}\]
  done clear
  B)
   \[68\,\,\text{m}\]
  done clear
  C)
   \[22\frac{2}{3}\,\,\text{m}\]
  done clear
  D)
   \[22\frac{1}{3}\,\,\text{m}\]
  done clear
  View Answer play_arrow

• question_answer23)
  A does \[\frac{7}{10}\]part of work in 15 days. After that he completes the remaining work in 4 days with the help of B. In how many days will A and B together do the same work?
  A)
   \[10\frac{1}{3}\,\,\text{days}\]
  done clear
  B)
   \[12\frac{2}{3}\,\,\text{days}\]
  done clear
  C)
   \[13\frac{1}{3}\text{days}\]
  done clear
  D)
   \[8\frac{1}{4}\,\,\text{days}\]
  done clear
  View Answer play_arrow

• question_answer24)
  By which smallest number should 20184 be multiplied so that it becomes a perfect square?
  A)
  2
  done clear
  B)
   3
  done clear
  C)
   5
  done clear
  D)
   6
  done clear
  View Answer play_arrow

• question_answer25)
  The length, breadth and height of a room is 5m, 4m and 3m, respectively. Find the length of the largest bamboo that can be kept inside the room
  A)
  5 m      
  done clear
  B)
   60 m
  done clear
  C)
   7 m
  done clear
  D)
   \[5\sqrt{2}\,\,\text{m}\]
  done clear
  View Answer play_arrow

• question_answer26)
  A sum becomes Rs. 4500 after two years and Rs. 6750 after four years at compound interest. The sum is
  A)
  Rs. 4000
  done clear
  B)
   Rs. 2500
  done clear
  C)
   Rs. 3000
  done clear
  D)
   Rs. 3050
  done clear
  View Answer play_arrow

• question_answer27)
  Out of 24 students of a class 6 are 1 m 15 cm in height, 8 are 1 m 5 cm and the rest are 1 m 11 cm. What is the average height of the students?
  A)
  1 m      
  done clear
  B)
   1 m 10 cm
  done clear
  C)
   1 m 20 cm
  done clear
  D)
   2 m
  done clear
  View Answer play_arrow

• question_answer28)
  If the income of Ram is \[12\frac{1}{2}%\]more than that of Shyam, the income of Shyam is less than that of Ram by
  A)
   \[11\frac{1}{9}%\]
  done clear
  B)
   \[13\frac{1}{2}%\]
  done clear
  C)
   \[87\frac{1}{2}%\]
  done clear
  D)
   \[88\frac{1}{9}%\]
  done clear
  View Answer play_arrow

• question_answer29)
  A sum of Rs. 1750 is divided into two parts such that the interests on the first part at 8% simple interest per annum and that on the other part at 6% simple interest per annum are equal. The interest on each part (in Rs.) is
  A)
  60        
  done clear
  B)
   65
  done clear
  C)
   70
  done clear
  D)
   40
  done clear
  View Answer play_arrow

• question_answer30)
  The sum of three consecutive numbers is 87. The middle number is
  A)
  27        
  done clear
  B)
   29
  done clear
  C)
   30
  done clear
  D)
   28
  done clear
  View Answer play_arrow

• question_answer31)
  The average age of eleven players of a cricket team decreases by 2 months when two new players are included in the team replacing two players of ages 17 yr and 20 yr. The average age of new players is
  A)
  17 yr 1 month
  done clear
  B)
   17 yr 7 months
  done clear
  C)
   17 yr 11 months
  done clear
  D)
   18 yr 3 months
  done clear
  View Answer play_arrow

• question_answer32)
  A discount of \[2\frac{1}{2}%\] is given to the customer on the marked price of an article. A man bought the article for Rs. 39. The marked price of the article is
  A)
  Rs. 42
  done clear
  B)
   Rs. 36.5
  done clear
  C)
   Rs. 40
  done clear
  D)
   Rs. 41.5
  done clear
  View Answer play_arrow

• question_answer33)
  The ratio of the volumes of two cones is 2 : 3 and the ratio of radii of their bases is 1 : 2. The ratio of their heights is
  A)
  3 : 8     
  done clear
  B)
   8 : 3
  done clear
  C)
   4 : 3    
  done clear
  D)
   3 : 4
  done clear
  View Answer play_arrow

• question_answer34)
  On selling an article for Rs. 105 a trader loses 9%. To gain 30% he should sell the article at
  A)
  Rs. 126
  done clear
  B)
   Rs. 144
  done clear
  C)
   Rs. 150
  done clear
  D)
   Rs. 139
  done clear
  View Answer play_arrow

• question_answer35)
  A train 100 m long is running at the speed of 30 km/h. The time (in second) in which it will pass a man standing near the railway line is
  A)
  10
  done clear
  B)
   11      
  done clear
  C)
   12
  done clear
  D)
   15
  done clear
  View Answer play_arrow

• question_answer36)
  In a group of parrots and cows, when counting the heads it comes as 858. If counting the legs, it stands as 1746. How many parrots are there in the group?
  A)
  843
  done clear
  B)
   845
  done clear
  C)
   943     
  done clear
  D)
   978
  done clear
  View Answer play_arrow

• question_answer37)
  18% of which number is equal to 12% of 75?
  A)
  50
  done clear
  B)
   100    
  done clear
  C)
   2
  done clear
  D)
   3
  done clear
  View Answer play_arrow

• question_answer38)
  A lawn is in the form of a rectangle having its sides in the ratio 2 : 3. The area of the lawn is \[\frac{1}{6}\]hectare. Find the length of the lawn
  A)
  60 m
  done clear
  B)
   40 m    
  done clear
  C)
   50 m   
  done clear
  D)
   70 m
  done clear
  View Answer play_arrow

• question_answer39)
  Find the largest number of four digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively
  A)
  6557
  done clear
  B)
   7556
  done clear
  C)
   5675   
  done clear
  D)
   7664
  done clear
  View Answer play_arrow

• question_answer40)
  The equivalent single discount for two successive discounts of 15% and 10% is
  A)
  25%     
  done clear
  B)
   20%    
  done clear
  C)
   23.5%
  done clear
  D)
   20.5%
  done clear
  View Answer play_arrow

• question_answer41)
  Find the area of a triangle in which box is 1.5 m and height is 75 cm
  A)
  5256 sq cm
  done clear
  B)
   5625 sq cm
  done clear
  C)
   5265 sq cm
  done clear
  D)
   2625 sq cm
  done clear
  View Answer play_arrow

• question_answer42)
  The ratio of the CP and SP of an article is 20 : 21. What is the gain per cent?
  A)
  5%
  done clear
  B)
   5.5%    
  done clear
  C)
   6%
  done clear
  D)
   6.25%
  done clear
  View Answer play_arrow

• question_answer43)
  If an article is sold at 5% gain instead of 5% loss, the man gains Rs. 5 more. Find the cost price of that article 
  A)
             Rs. 100
  done clear
  B)
   Rs. 105  
  done clear
  C)
   Rs. 50
  done clear
  D)
   Rs. 110
  done clear
  View Answer play_arrow

• question_answer44)
  A circular wire of diameter 42 cm is folded in the shape of a rectangle whose sides are in the ratio 6 : 5. Find the area enclosed by the rectangle \[\left( \text{Take}\,\,\pi =\frac{22}{7} \right)\]
  A)
   \[540\,\,\text{c}{{\text{m}}^{2}}\]
  done clear
  B)
   \[1080\,\,\text{c}{{\text{m}}^{2}}\]
  done clear
  C)
   \[2160\,\,\text{c}{{\text{m}}^{2}}\]
  done clear
  D)
   \[4320\,\,\text{c}{{\text{m}}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer45)
  The sum and product of two numbers are 10 and 24 respectively. The sum of their reciprocals is
  A)
   \[\frac{1}{2}\] 
  done clear
  B)
   \[\frac{5}{12}\]
  done clear
  C)
   \[\frac{7}{12}\]
  done clear
  D)
   \[\frac{12}{5}\]
  done clear
  View Answer play_arrow

• question_answer46)
  If the amount is 2.25 times of the sum after 2 yr at compound interest (compound annually), the rate of interest per annum is
  A)
  25%     
  done clear
  B)
   30%
  done clear
  C)
   45%    
  done clear
  D)
   50%
  done clear
  View Answer play_arrow

• question_answer47)
  The printed price of an article is Rs. 900 but the retailer gets a discount of 40%. He sells the article for Rs. 900. Retailer's gain per cent is
  A)
  40
  done clear
  B)
   60
  done clear
  C)
   \[66\frac{2}{3}\]
  done clear
  D)
   \[68\frac{1}{3}\]
  done clear
  View Answer play_arrow

• question_answer48)
  The numerator and denominator of a fraction are a the ratio of 2 : 3. If 6 is subtracted from the numerator, the result is a fraction that has a value \[\frac{2}{3}\]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
  View Answer play_arrow

• question_answer49)
  The difference between the simple interest received from two different sources on Rs. 1500 for 3 yr is Rs. 13.50. The difference between their rates I interest is
  A)
  0. 1%
  done clear
  B)
   0.2%
  done clear
  C)
   0.3%
  done clear
  D)
   0.4%
  done clear
  View Answer play_arrow

• question_answer50)
  What sum of money must be given at simple interest for six months at 4% per annum in order to earn Rs. 150 interest?
  A)
  Rs. 5000
  done clear
  B)
   Rs. 7500
  done clear
  C)
   Rs. 10000
  done clear
  D)
   Rs. 15000
  done clear
  View Answer play_arrow

• question_answer51)
  The value of \[{{\cos }^{2}}45{}^\circ -{{\sin }^{2}}15{}^\circ \]is
  A)
   \[\frac{\sqrt{3}}{2}\]    
  done clear
  B)
   \[\frac{\sqrt{3}}{1}\]
  done clear
  C)
   \[\frac{1}{\sqrt{3}}\]    
  done clear
  D)
   \[\frac{\sqrt{3}}{4}\]
  done clear
  View Answer play_arrow

• question_answer52)
  It \[\tan \theta =\frac{12}{13},\] then \[\frac{2\sin \theta \cos \theta }{{{\cos }^{2}}\theta -{{\sin }^{2}}\theta }\]
  A)
   \[\frac{123}{25}\]        
  done clear
  B)
   \[\frac{312}{25}\]
  done clear
  C)
   \[\frac{231}{25}\]        
  done clear
  D)
   \[\frac{192}{25}\]
  done clear
  View Answer play_arrow

• question_answer53)
  If \[\sec \theta =\frac{13}{5},\] then\[\frac{2\sin \theta -3cos\theta }{4\sin \theta -9\cos \theta }\] is equal to
  A)
   \[\frac{1}{3}\]
  done clear
  B)
   \[-3\]
  done clear
  C)
   3
  done clear
  D)
   2
  done clear
  View Answer play_arrow

• question_answer54)
  If sin A \[=\frac{3}{5},\]then \[\text{4 tan A + 3 sin A}\] is equal
  A)
   \[\text{6 cos A}\]
  done clear
  B)
   \[\text{6 sec A}\]           
  done clear
  C)
   \[\text{6 sin A}\]
  done clear
  D)
   \[\text{tan A}\]   
  done clear
  View Answer play_arrow

• question_answer55)
    If \[\sin 3\theta =\cos \,\,(\theta -2{}^\circ ),\]where 3\[\theta \] and \[(\theta -2{}^\circ )\] are acute angles, what is the value of\[\theta \]?
  A)
   \[22{}^\circ \] 
  done clear
  B)
   \[23{}^\circ \]
  done clear
  C)
   \[24{}^\circ \] 
  done clear
  D)
   \[25{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer56)
  \[\sin \,\,(45{}^\circ +A)-\cos \,\,(45{}^\circ -A)\] is equal to
  A)
   \[\frac{1}{\sqrt{2}}\]    
  done clear
  B)
   \[1\]
  done clear
  C)
  \[0\]
  done clear
  D)
   \[\sqrt{2}\]
  done clear
  View Answer play_arrow

• question_answer57)
  If\[{{x}^{5}}-9{{x}^{2}}+12x-14\]is divisible by \[(x-3),\]what is the remainder?
  A)
  0
  done clear
  B)
   1
  done clear
  C)
   56       
  done clear
  D)
   184
  done clear
  View Answer play_arrow

• question_answer58)
  The factors of \[\left( {{a}^{2}}+a+\frac{1}{4} \right)\] are
  A)
   \[{{\left( a+\frac{1}{2} \right)}^{2}}\]
  done clear
  B)
   \[\left( a+\frac{1}{2} \right)(a+2)\]
  done clear
  C)
   \[\left( a+\frac{1}{2} \right)\left( a-\frac{1}{2} \right)\]
  done clear
  D)
   \[{{\left( a-\frac{1}{2} \right)}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer59)
  The value of \[\frac{\left[ \frac{x}{y}-\frac{y}{x} \right]\left[ \frac{y}{z}-\frac{z}{y} \right]\left[ \frac{z}{x}-\frac{x}{z} \right]}{\left[ \frac{1}{{{x}^{2}}}-\frac{1}{{{y}^{2}}} \right]\left[ \frac{1}{{{y}^{2}}}-\frac{1}{{{z}^{2}}} \right]\left[ \frac{1}{{{z}^{2}}}-\frac{1}{{{x}^{2}}} \right]}\]is
  A)
   \[{{x}^{2}}{{y}^{2}}{{z}^{2}}\]
  done clear
  B)
   \[-{{x}^{2}}{{y}^{2}}{{z}^{2}}\]
  done clear
  C)
   1
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer60)
  The rational expression which should be added to
  A)
   \[\frac{{{x}^{3}}-{{x}^{2}}+4}{{{x}^{2}}+2}\]
  done clear
  B)
          \[\frac{{{x}^{3}}+{{x}^{2}}+4}{{{x}^{2}}+2}\]
  done clear
  C)
   \[\frac{{{x}^{3}}+{{x}^{2}}-4}{{{x}^{2}}+2}\]   
  done clear
  D)
   \[\frac{{{x}^{3}}-{{x}^{2}}-4}{{{x}^{2}}+2}\]
  done clear
  View Answer play_arrow

• question_answer61)
  The volume of a cuboid whose sides are in the ratio of 1 : 2 : 4 is same as that of a cube. What is the ratio of diagonal of cuboid to that of cube?
  A)
   \[\sqrt{1.25}\]
  done clear
  B)
   \[\sqrt{1.75}\]
  done clear
  C)
   \[\sqrt{2}\]       
  done clear
  D)
  \[\sqrt{3.5}\]
  done clear
  View Answer play_arrow

• question_answer62)
  A right\[\Delta ABC\] with sides 5 cm, 12 cm and 13 cm is revolved about the side. 12 cm. What is the volume of the sold so obtained?
  A)
   \[50\,\,\pi \,\,\text{cu}\,\,\text{cm}\]
  done clear
  B)
   \[100\,\,\pi \,\,\text{cu}\,\,\text{cm}\]
  done clear
  C)
   \[125\,\,\pi \,\,\text{cu}\,\,\text{cm}\]     
  done clear
  D)
  \[150\,\,\pi \,\,\text{cu}\,\,\text{cm}\]
  done clear
  View Answer play_arrow

• question_answer63)
  A field is 125 m long and 15 m wide. A tank \[10\,\,\text{m}\times 7.5\,\,\text{m}\times 6\,\,\text{m}\] was dug in it and the Earth, thus dug out was spread equally on the remaining field. The level of the field thus raised is equal to which one of the following?
  A)
  15 cm
  done clear
  B)
   20 cm
  done clear
  C)
   25 cm
  done clear
  D)
   30 cm
  done clear
  View Answer play_arrow

• question_answer64)
  A figure is formed by revolving a rectangular sheet of dimensions \[\text{7}\,\,\text{cm}\times \text{4}\,\,\text{cm}\] about its length. What is the volume of the figure thus formed?  
  A)
     352 cu cm
  done clear
  B)
   296 cu cm
  done clear
  C)
   176 cu cm
  done clear
  D)
   616 cu cm
  done clear
  View Answer play_arrow

• question_answer65)
  The areas of three adjacent faces of a cuboid are x, y and z. If its volume is V, then which is true?
  A)
   \[V=\,\,{{x}^{3}}{{y}^{2}}{{z}^{2}}\]
  done clear
  B)
   \[{{V}^{2}}=xyz\]
  done clear
  C)
  \[V=\sqrt[3]{xyz}\]
  done clear
  D)
  \[V=\frac{{{x}^{2}}y}{z}\]
  done clear
  View Answer play_arrow

• question_answer66)
  The ratio of an interior angle to the exterior angle of a regular polygon is 5:1. The number of sides of polygon is
  A)
  10
  done clear
  B)
   11
  done clear
  C)
   12       
  done clear
  D)
   14
  done clear
  View Answer play_arrow

• question_answer67)
  If   ABCD    is    a   rhombus,    then \[A{{B}^{2}}+B{{C}^{2}}+C{{D}^{2}}+A{{D}^{2}}\]is equal to
  A)
   \[A{{D}^{2}}+B{{C}^{2}}\]
  done clear
  B)
          \[A{{O}^{2}}+O{{C}^{2}}\]
  done clear
  C)
   \[A{{C}^{2}}+B{{D}^{2}}\]
  done clear
  D)
   \[4\,\,(A{{O}^{2}}+O{{B}^{2}})\]
  done clear
  View Answer play_arrow

• question_answer68)
  If the number of square centimeters on the surface of a sphere is equal to the number of cubic centimetres in its volume. What is the diameter of the sphere?
  A)
  3 cm    
  done clear
  B)
   4 cm    
  done clear
  C)
   5 cm   
  done clear
  D)
   6 cm
  done clear
  View Answer play_arrow

• question_answer69)
  The volume of two hemisphere are in. the ratio 8 : 27. What is the ratio of their radii?
  A)
  2 : 3     
  done clear
  B)
   3 : 2    
  done clear
  C)
   1 : 2    
  done clear
  D)
   2 : 1
  done clear
  View Answer play_arrow

• question_answer70)
  \[\Delta PQR\] is a right angled at Q. If X and Y are the mid-points of the sides PQ and QR respectively, then which one of the following is not correct?
  A)
   \[R{{X}^{2}}+P{{Y}^{2}}=5X{{Y}^{2}}\]
  done clear
  B)
   \[R{{X}^{2}}+P{{Y}^{2}}=X{{Y}^{2}}+P{{R}^{2}}\]
  done clear
  C)
   \[4\,\,(R{{X}^{2}}+P{{Y}^{2}})=5P{{R}^{2}}\]
  done clear
  D)
   \[R{{X}^{2}}+P{{Y}^{2}}=3\,\,(P{{Q}^{2}}+Q{{R}^{2}})\]
  done clear
  View Answer play_arrow

• question_answer71)
  In \[\Delta PQR,\]PQ = 4 cm, QR = 3 cm and RP = 3.5 cm. \[\Delta DEF\] is similar to \[\Delta PQR.\] If EF = 9 cm, then what is the perimeter to\[\Delta DEF\]?
  A)
  10.5 cm
  done clear
  B)
   21 cm
  done clear
  C)
   31.5 cm
  done clear
  D)
   Cannot be determined as data is insufficient
  done clear
  View Answer play_arrow

• question_answer72)
  In figure AB||CD, if \[x=\frac{4}{3}y\]and \[y=\frac{3}{8}z,\] then the value of x
  A)
   \[48{}^\circ \] 
  done clear
  B)
   \[96{}^\circ \]
  done clear
  C)
   \[36{}^\circ \] 
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer73)
  The foot of the perpendicular on the line \[3x+y=\lambda \] drawn from the origin is C. If the line cuts the x-axis and y-axis at A and B respectively, then BC : CA is
  A)
  1 : 3     
  done clear
  B)
   3 : 1
  done clear
  C)
   1 : 9    
  done clear
  D)
   9 : 1
  done clear
  View Answer play_arrow

• question_answer74)
  The coordinates of two consecutive vertices A and B of a regular hexagon ABCDEF are (1, 0) and (2, 0), respectively. The equation of the diagonal CE is
  A)
   \[\sqrt{3x}+y=4\]
  done clear
  B)
          \[x+\sqrt{3}y+4=0\]
  done clear
  C)
   \[x+\sqrt{3}y=4\]        
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer75)
  If one side of a rhombus has end points (4, 5) and (1, 1), then the maximum area of the rhombus is
  A)
  50 sq units
  done clear
  B)
   25 sq units
  done clear
  C)
   30 sq units
  done clear
  D)
   20 sq units
  done clear
  View Answer play_arrow

• question_answer76)
  The equations of the sides of a triangle are \[x+y-5=0,\]\[x-y+1=0,\] and \[y-1=0.\] Then, the coordinates of the circumcentre are
  A)
   \[(2,\,\,1)\]
  done clear
  B)
   \[(1,\,\,2)\] 
  done clear
  C)
   \[(2,-\,\,2)\]
  done clear
  D)
   \[(1,-\,\,2)\]
  done clear
  View Answer play_arrow

• question_answer77)
  The distance between two stations A and B is 450 km. A train starts at 4 pm from A and moves towards B at an average speed of 60 km/h. Another train starts from B at 3 : 20 pm and moves towards A at an average speed of 80 km/h. How far from A will the two trains meet and at what time?
  A)
  2 h 50 min
  done clear
  B)
          2 h 25 min
  done clear
  C)
   2 h 10 min
  done clear
  D)
   2 h 40 min
  done clear
  View Answer play_arrow

• question_answer78)
  Two pipes A and B can fill a tank in 24 min and 32 min, respectively. If both the pipes are opened together, after how much time B should be closed so that the tank is full in 18 min?
  A)
  6
  done clear
  B)
   8      
  done clear
  C)
   9
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer79)
  In a stream running at 2 km/h, a motorboat goes 10 km upstream and back again to the starting point in 55 min. Find the speed of the motorboat in still water
  A)
  21 km/h
  done clear
  B)
   18 km/h
  done clear
  C)
   15 km/h
  done clear
  D)
   22 km/h
  done clear
  View Answer play_arrow

• question_answer80)
  A train 125m long is running at 50 km/h. In what time will it pass a man, running at 5 km/h in the same direction in which the train is going?
  A)
     15 s     
  done clear
  B)
   10 s 
  done clear
  C)
   12 s    
  done clear
  D)
   14 s    
  done clear
  View Answer play_arrow

• question_answer81)
    A man had Rs. 8400. He lent a part of it at 8% SI and the remaining at \[6\frac{2}{3}%\]SI. His total annual income was Rs. 588. Find the sum lent at different rates   
  A)
    Rs. 6300
  done clear
  B)
   Rs. 7500         
  done clear
  C)
   Rs. 4800
  done clear
  D)
   Rs. 4500  
  done clear
  View Answer play_arrow

• question_answer82)
  Find the HCF and LCM of 1.5, 3 and 0.6   
  A)
  3
  done clear
  B)
   4
  done clear
  C)
   5
  done clear
  D)
   6
  done clear
  View Answer play_arrow

• question_answer83)
  There are 45 students in a class of which 15 are girls. The average weight of 15 girls is 45 kg and that of 30 boys is 52 kg. Then, the mean weight (in kg) the entire class is       
  A)
                   49.67 kg
  done clear
  B)
   50.01 kg              
  done clear
  C)
                      53.23 kg
  done clear
  D)
   57.23 kg    
  done clear
  View Answer play_arrow

• question_answer84)
  A train 110m long is running at 60 km/h. In what time will it pass a man, running in the direction opposite to that of the train at 6 km/h? 
  A)
      8 s
  done clear
  B)
   6 s  
  done clear
  C)
   10 s    
  done clear
  D)
   5 s   
  done clear
  View Answer play_arrow

• question_answer85)
        A and B entered into a partnership investing Rs. 16000 and Rs. 12000, respectively. After 3 month, A withdrew Rs. 5000 while B invested Rs. 5000 more. After three more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of the total profit of Rs. 26400 after one year, by
  A)
  Rs. 3600
  done clear
  B)
   Rs. 2400     
  done clear
  C)
   Rs.1200
  done clear
  D)
   Rs. 2100 
  done clear
  View Answer play_arrow

• question_answer86)
  There are four prime numbers written in ascending order. The product of first three is 385 and that of the last three is 1001. The first number is 
  A)
  5
  done clear
  B)
   7          
  done clear
  C)
   11
  done clear
  D)
   17   
  done clear
  View Answer play_arrow

• question_answer87)
  Six bells commence tolling together and toll at intervals of 2 s, 4 s, 6 s, 8 s, 10 s, 12 s respectively. In 30 min, how many times to the toll together?
  A)
  4
  done clear
  B)
   10     
  done clear
  C)
   15
  done clear
  D)
   16
  done clear
  View Answer play_arrow

• question_answer88)
  In an examination, 40% of the candidates their answers in Hindi and the others in English. The average marks of the candidates written in Hindi is 74 and the average marks of the candidates written in English is 77. What is the average marks of all the candidates? 
  A)
                 75.5
  done clear
  B)
   75.8  
  done clear
  C)
   76.0    
  done clear
  D)
   76. 8
  done clear
  View Answer play_arrow

• question_answer89)
  Rs. 5200 is to be divided among the partners A, B and C. The ratio of their investment is \[\frac{1}{2}:\frac{1}{3}:\frac{1}{4}.\]Find the share each of partner receives
  A)
  Rs. 2400, Rs. 1600, Rs. 1200
  done clear
  B)
   Rs. 2200, Rs. 1600, Rs. 1400
  done clear
  C)
   Rs.1200, Rs. 1000, Rs. 800
  done clear
  D)
   Rs. 1600, Rs. 1400, Rs. 1200
  done clear
  View Answer play_arrow

• question_answer90)
  \[\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{n\,\,(n+1)}=?\]
  A)
   \[\frac{1}{n}\]
  done clear
  B)
   \[\frac{1}{n+1}\]
  done clear
  C)
   \[\frac{2\,\,(n-1)}{n}\]
  done clear
  D)
   \[\frac{n}{n+1}\]
  done clear
  View Answer play_arrow

• question_answer91)

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

  18, 119, 708, 3534, 14136, 42405
  A)
  708
  done clear
  B)
   3534
  done clear
  C)
   14136
  done clear
  D)
   42405
  done clear
  View Answer play_arrow

• question_answer92)

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

  6, 4, 5.5, 10.25, 22.5, 60.5
  A)
  22.5     
  done clear
  B)
   10.25
  done clear
  C)
   5.5      
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer93)

  Direction: Study the following table carefully answer the questions given below it

  Percentage of population below poverty line in sex different cities and the proportion of males and females

  Cities Percentage below Poverty line Proportion of Males and Females Male : Female Male : Female P 12 3  :  2 4  :  2 Q 15 5  :  7 3  :  4 R 25 4  :  5 2  :  3 S 26 1  :  2 5  :  6 T 10 6  :  5 3  :  2 U 32 2  :  3 4  :  5

  If total population of city ?P? IS 80000, what is the approximate number of females about poverty line in that state?
  A)
  30711
  done clear
  B)
   30117
  done clear
  C)
   30171
  done clear
  D)
   31071
  done clear
  View Answer play_arrow

• question_answer94)

  Direction: Study the following table carefully answer the questions given below it

  Percentage of population below poverty line in sex different cities and the proportion of males and females

  Cities Percentage below Poverty line Proportion of Males and Females Male : Female Male : Female P 12 3  :  2 4  :  2 Q 15 5  :  7 3  :  4 R 25 4  :  5 2  :  3 S 26 1  :  2 5  :  6 T 10 6  :  5 3  :  2 U 32 2  :  3 4  :  5

  If the population of city ?R? and ?S? together 1800000. What is the total number of female members below poverty line in the two cities?
  A)
  500000
  done clear
  B)
   550000
  done clear
  C)
   480000
  done clear
  D)
   Data inadequate
  done clear
  View Answer play_arrow

• question_answer95)

  Direction: Study the following table carefully answer the questions given below it

  Percentage of population below poverty line in sex different cities and the proportion of males and females

  Cities Percentage below Poverty line Proportion of Males and Females Male : Female Male : Female P 12 3  :  2 4  :  2 Q 15 5  :  7 3  :  4 R 25 4  :  5 2  :  3 S 26 1  :  2 5  :  6 T 10 6  :  5 3  :  2 U 32 2  :  3 4  :  5

  If the number of males below poverty line for the city 'P' is 80000 and that for the city T is 160000. Total population of cities 'P' and T is approximately in the ratio of
  A)
  2 : 4     
  done clear
  B)
   2 : 3
  done clear
  C)
   3 : 4    
  done clear
  D)
   4 : 5
  done clear
  View Answer play_arrow

• question_answer96)

  Direction: Study the following table carefully answer the questions given below it

  Percentage of population below poverty line in sex different cities and the proportion of males and females

  Cities Percentage below Poverty line Proportion of Males and Females Male : Female Male : Female P 12 3  :  2 4  :  2 Q 15 5  :  7 3  :  4 R 25 4  :  5 2  :  3 S 26 1  :  2 5  :  6 T 10 6  :  5 3  :  2 U 32 2  :  3 4  :  5

  If the number of male members below poverty line for the city 'Q' is 50000. What is the total population of the city?
  A)
  1440000
  done clear
  B)
   600000
  done clear
  C)
   800000
  done clear
  D)
   760000
  done clear
  View Answer play_arrow

• question_answer97)

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

  Number of employees working in various department of a publishing house

  Year Administration Account and Dispatch Sales Purchase production 1995 45 75 25 50 150 1996 62 70 40 45 225 1997 90 73 65 30 450 1998 105 70 73 32 470 1999 132 74 80 35 500 2000 130 75 75 36 505

  Which department had less than 10% of the total employees all through the years 1995 to 2000?
  A)
  Administration
  done clear
  B)
   Accounts and Dispatch
  done clear
  C)
   Purchase
  done clear
  D)
   Sales
  done clear
  View Answer play_arrow

• question_answer98)

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

  Number of employees working in various department of a publishing house

  Year Administration Account and Dispatch Sales Purchase production 1995 45 75 25 50 150 1996 62 70 40 45 225 1997 90 73 65 30 450 1998 105 70 73 32 470 1999 132 74 80 35 500 2000 130 75 75 36 505

  In which year the number of employees working in production department was less than 50% of the total employees?
  A)
  1996
  done clear
  B)
   1997
  done clear
  C)
   1998   
  done clear
  D)
   1995
  done clear
  View Answer play_arrow

• question_answer99)

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

  Number of employees working in various department of a publishing house

  Year Administration Account and Dispatch Sales Purchase production 1995 45 75 25 50 150 1996 62 70 40 45 225 1997 90 73 65 30 450 1998 105 70 73 32 470 1999 132 74 80 35 500 2000 130 75 75 36 505

  In which year, the total number of employees reached approximately twice the total number of employees the publishing house had in the year 1995?
  A)
  2000
  done clear
  B)
   1999
  done clear
  C)
   1996   
  done clear
  D)
   1997
  done clear
  View Answer play_arrow

• question_answer100)

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

  Number of employees working in various department of a publishing house

  Year Administration Account and Dispatch Sales Purchase production 1995 45 75 25 50 150 1996 62 70 40 45 225 1997 90 73 65 30 450 1998 105 70 73 32 470 1999 132 74 80 35 500 2000 130 75 75 36 505

  In which of the following years each department had more number of employees than it had in the immediately preceding year?
  A)
  1999
  done clear
  B)
   1998
  done clear
  C)
   1997   
  done clear
  D)
   1996
  done clear
  View Answer play_arrow