SSC Sample Paper

done Mock Test-20 SSC CGL Tear-II Paper-1 Total Questions - 100    [Download]

• question_answer1)
  \[\left( 1-\frac{1}{3} \right)\left( 1-\frac{1}{4} \right)\left( 1-\frac{1}{5} \right)...\left( 1-\frac{1}{99} \right)\left( 1-\frac{1}{100} \right)\]is equal to
  A)
   \[\frac{1}{50}\]
  done clear
  B)
   \[\frac{1}{45}\]
  done clear
  C)
   \[\frac{1}{100}\]          
  done clear
  D)
   \[0\]
  done clear
  View Answer play_arrow

• question_answer2)
  Two dices are thrown simultaneously. What is the probability that the sum of the two numbers appearing on the top of the dice is?
  A)
   \[\frac{1}{3}\]
  done clear
  B)
   \[\frac{2}{3}\]
  done clear
  C)
   \[\frac{5}{6}\]
  done clear
  D)
   \[\frac{1}{6}\]
  done clear
  View Answer play_arrow

• question_answer3)
  If   \[\sqrt{2}=1.4142,\] find    the   value    of \[2\sqrt{2}+\sqrt{2}+\frac{1}{2+\sqrt{2}}+\frac{1}{\sqrt{2}-2}\]
  A)
  1.4144
  done clear
  B)
   2.8284
  done clear
  C)
   28.284
  done clear
  D)
   2.4142
  done clear
  View Answer play_arrow

• question_answer4)
  Marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it, if the water rises by 5.6 cm?
  A)
  50
  done clear
  B)
   150     
  done clear
  C)
   250     
  done clear
  D)
   350
  done clear
  View Answer play_arrow

• question_answer5)
  The value of \[\sqrt{400}+\sqrt{0.0400}+\sqrt{0.000004}\]is
  A)
  0.222
  done clear
  B)
   20.22
  done clear
  C)
   20.202
  done clear
  D)
   2.022
  done clear
  View Answer play_arrow

• question_answer6)
  The least number which when divided by 4, 6, 8 and 9 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is
  A)
  144      
  done clear
  B)
   72     
  done clear
  C)
   36
  done clear
  D)
   85
  done clear
  View Answer play_arrow

• question_answer7)
  If \[a+b+c=13,{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=69,\]then \[(ab+bc+ca)\] is equal to
  A)
  60
  done clear
  B)
   50
  done clear
  C)
   75
  done clear
  D)
   80
  done clear
  View Answer play_arrow

• question_answer8)
  \[\frac{{{(a-b)}^{3}}+{{(b-c)}^{3}}+{{(c-a)}^{3}}}{6\,\,(a-b)(b-c)(c-a)}\]is equal to
  A)
  5
  done clear
  B)
   3     
  done clear
  C)
   2
  done clear
  D)
   1
  done clear
  View Answer play_arrow

• question_answer9)
  In what time will Rs. 1000 becomes Rs. 1331 at 10% per annum compounded annually?
  A)
  3 yr      
  done clear
  B)
   \[2\frac{1}{2}\text{yr}\]
  done clear
  C)
   2 yr
  done clear
  D)
   \[3\frac{1}{2}\text{yr}\]
  done clear
  View Answer play_arrow

• question_answer10)
  The simplified value of \[{{[{{(0.111)}^{3}}+{{(0.222)}^{3}}-{{(0.333)}^{3}}+{{(0.333)}^{2}}(0.222)]}^{3}}\]is
  A)
  0.999
  done clear
  B)
   0
  done clear
  C)
   0.888
  done clear
  D)
   0.111
  done clear
  View Answer play_arrow

• question_answer11)
  The sum of the digits of the smallest number which when multiplied by 1800, gives a perfect cube is
  A)
  2         
  done clear
  B)
   3
  done clear
  C)
   6
  done clear
  D)
   8
  done clear
  View Answer play_arrow

• question_answer12)
  \[\frac{1\frac{1}{4}\div 1\frac{1}{2}}{\left( \frac{1}{15}+1-\frac{9}{10} \right)}\]is equal to
  A)
   \[3\]
  done clear
  B)
   \[6\]
  done clear
  C)
   \[\frac{2}{5}\]
  done clear
  D)
   \[5\]
  done clear
  View Answer play_arrow

• question_answer13)
  In an election between two candidates, the candidate getting 60% of the votes polled, is elected by a majority of 14000 votes. The number of votes polled by the winning candidate is
  A)
  28000
  done clear
  B)
   32000
  done clear
  C)
   42000
  done clear
  D)
   46000
  done clear
  View Answer play_arrow

• question_answer14)
  The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is
  A)
  395      
  done clear
  B)
   380
  done clear
  C)
   400     
  done clear
  D)
   425
  done clear
  View Answer play_arrow

• question_answer15)
  A person was asked to state his age in years. His reply was "take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
  A)
  24 yr
  done clear
  B)
   20 yr
  done clear
  C)
   32 yr
  done clear
  D)
   18 yr
  done clear
  View Answer play_arrow

• question_answer16)
  A and B can complete a piece of work in 15 days and 10 days respectively. They contracted to complete the work for Rs. 30000. The share of A in the contracted money will be
  A)
  Rs. 18000
  done clear
  B)
   Rs. 16500
  done clear
  C)
   Rs. 12500
  done clear
  D)
   Rs. 12000
  done clear
  View Answer play_arrow

• question_answer17)
  The sum of two numbers is 36 and their HCF is 4. How many pairs of such numbers are possible?
  A)
  1
  done clear
  B)
   2
  done clear
  C)
   3
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer18)
  \[\frac{{{(736+278)}^{2}}+{{(736-278)}^{2}}}{736\times 736+278\times 278}\]equal to
  A)
  2
  done clear
  B)
   3
  done clear
  C)
   1
  done clear
  D)
   0
  done clear
  View Answer play_arrow

• question_answer19)
  Two students appeared at an examination: One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are
  A)
  42.33%
  done clear
  B)
   43.34%
  done clear
  C)
   41.32%
  done clear
  D)
   39.30%     
  done clear
  View Answer play_arrow

• question_answer20)
      A man spends a part of his monthly income and saves a part of it. The ratio of his expenditure to his saving is 26 : 3. If his monthly income is Rs. 7250, what is the amount of his monthly savings?
  A)
  Rs. 350
  done clear
  B)
   Rs. 290
  done clear
  C)
   Rs.750
  done clear
  D)
   Rs. 780
  done clear
  View Answer play_arrow

• question_answer21)
  \[\frac{47\times 47\times 47\times 35\times 35\times 35+26\times 26\times 26-47\times 35\times 78}{47\times 47+35\times 35+26\times 26-47\times 35-35\times 26-47\times 26}\]equal to
  A)
  105      
  done clear
  B)
   99     
  done clear
  C)
   108     
  done clear
  D)
   105
  done clear
  View Answer play_arrow

• question_answer22)
  If the cost price of 12 pens is equal to the selling price of 8 pens, the gain per cent is
  A)
   \[33\frac{1}{3}%\]
  done clear
  B)
   \[66\frac{2}{3}%\]
  done clear
  C)
   \[25%\]
  done clear
  D)
   \[50%\]
  done clear
  View Answer play_arrow

• question_answer23)
  There are 50 students in a class. One of them weighing 50 kg goes away and a new student joins. By this the average weight of the class increases by \[\frac{1}{2}\]kg. The weight of the new student is
  A)
  70 kg
  done clear
  B)
   72 kg
  done clear
  C)
   75 kg
  done clear
  D)
   76 kg
  done clear
  View Answer play_arrow

• question_answer24)
  A sample of 50 L of glycerin is found to be adulterated to the extent of 20%. How much pure glycerin should be added to it so as to bring down the percentage of impurity to 5%?
  A)
  155 L
  done clear
  B)
   150 L
  done clear
  C)
   150.4 L
  done clear
  D)
   149 L
  done clear
  View Answer play_arrow

• question_answer25)
  Average weight of 25 persons is increased by 1 kg when one man weighing 60 kg is replaced by a new person. Weight of new person is
  A)
  50 kg
  done clear
  B)
   61 kg
  done clear
  C)
   86 kg
  done clear
  D)
   85 kg
  done clear
  View Answer play_arrow

• question_answer26)
  If the radius of the base of a cone be doubled and height is left unchanged, then ratio of the volume of new cone to that of the original cone will be    
  A)
  1: 4      
  done clear
  B)
   2 : 1             
  done clear
  C)
   1: 2     
  done clear
  D)
   4 : 1
  done clear
  View Answer play_arrow

• question_answer27)
  A and B together can do a work in 10 days. B and C together can do the same work in 6 days. A and C together can do the work in 12 days. Then, A, B and C together can do the work in
  A)
   \[28\]days
  done clear
  B)
   \[14\] days             
  done clear
  C)
           \[5\frac{5}{7}\text{days}\]
  done clear
  D)
   \[\text{8}\frac{\text{2}}{\text{7}}\text{days}\]
  done clear
  View Answer play_arrow

• question_answer28)
  The average of 20 numbers is 12. The average of the first 12 numbers is 11 and that of the next 7 numbers is 10. The last number is
  A)
  40
  done clear
  B)
   38
  done clear
  C)
   48       
  done clear
  D)
   50
  done clear
  View Answer play_arrow

• question_answer29)
  10 men working 6 h a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days?  
  A)
        6
  done clear
  B)
   10             
  done clear
  C)
   12
  done clear
  D)
   15   
  done clear
  View Answer play_arrow

• question_answer30)
             Two pipes A and B can fill a cistern in \[37\frac{1}{2}\,\,\min \] \[45\,\,\min \]respectively. Both pipes are opened. The cistern will be filled just in half an hour, if the pipe B is turned off after  
  A)
                             15 min
  done clear
  B)
   10 min           
  done clear
  C)
   5 min
  done clear
  D)
   9 min  
  done clear
  View Answer play_arrow

• question_answer31)
  When the price of eggs is reduced by 20%, it enables a man to buy 20 more eggs for Rs. 40. The reduced price per egg is   
  A)
                            35 paise
  done clear
  B)
   40 paise 
  done clear
  C)
   50 paise
  done clear
  D)
   56 paise     
  done clear
  View Answer play_arrow

• question_answer32)
  A man bought two goats for Rs. 1008. He sold one at loss of 20% and other at a profit of 44%. If each goat was sold for the same price the cost price of the goat which was sold at loss, was      
  A)
            Rs. 648
  done clear
  B)
   Rs. 360          
  done clear
  C)
   Rs. 568
  done clear
  D)
   Rs. 440  
  done clear
  View Answer play_arrow

• question_answer33)
  Bananas are bought at the rate of 6 for Rs. 5 and sold at the rate of 5 for Rs. 6. Profit per cent is    
  A)
      36%
  done clear
  B)
   42%   
  done clear
  C)
   44%
  done clear
  D)
   48%
  done clear
  View Answer play_arrow

• question_answer34)
  List price of an article at a show room is Rs. 2000 it is being sold at successive discounts of 20% and 10%. Its net selling price will be     
  A)
          Rs. 1900
  done clear
  B)
   Rs. 1700        
  done clear
  C)
   Rs. 1440
  done clear
  D)
   Rs. 1400  
  done clear
  View Answer play_arrow

• question_answer35)
  A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is \[\left( \text{Take}\,\,\pi =\frac{22}{7} \right)\]
  A)
  60 cm
  done clear
  B)
   30 cm         
  done clear
  C)
   25 cm
  done clear
  D)
   36 cm  
  done clear
  View Answer play_arrow

• question_answer36)
         The area of a, triangle is \[216\,\,\text{c}{{\text{m}}^{\text{2}}}\] and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is
  A)
  6 cm    
  done clear
  B)
   12 cm
  done clear
  C)
   36 cm
  done clear
  D)
   72 cm
  done clear
  View Answer play_arrow

• question_answer37)
  The area of a rhombus is \[150\,\,\text{c}{{\text{m}}^{\text{2}}}\text{.}\]The length of one of its diagonals is 10 cm. The length of the other diagonal is
  A)
  25 cm
  done clear
  B)
   30 cm
  done clear
  C)
   35 cm
  done clear
  D)
   40 cm
  done clear
  View Answer play_arrow

• question_answer38)
  If 9 men and 14 women can finish a work in 23 days. Then, to finish the same work, how many days 6 men and 6 women would take?
  A)
  12 days
  done clear
  B)
   18 days
  done clear
  C)
   21 days
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  A soap cake is of size \[8\,\,\text{cm}\times 5\,\,\text{cm}\times 4\,\,\text{cm}.\]The number of such soap cakes that can be packed in box measuring \[56\,\,\text{cm}\times 35\,\,\text{cm}\times 28\,\,\text{cm}\]is
  A)
  49        
  done clear
  B)
   196
  done clear
  C)
   243     
  done clear
  D)
   343
  done clear
  View Answer play_arrow

• question_answer40)
  At each comer of a triangular field of sides 26 m, 28 m and 30 m a cow is tethered by a rope of length of 7 m. The area (in \[{{\text{m}}^{\text{2}}}\]) ungrazed by the cow is
  A)
  336      
  done clear
  B)
   259
  done clear
  C)
   154
  done clear
  D)
   77
  done clear
  View Answer play_arrow

• question_answer41)
  A shopkeeper sells a badminton racket whose marked price is Rs.  3 0, at a discount of 15 % and gives a shuttle cock costing Rs. 1.50 free with each racket. Even, then he makes a profit of 20%. His cost price, per racket is
  A)
  Rs. 21.00
  done clear
  B)
   Rs. 21.25
  done clear
  C)
   Rs. 20.00
  done clear
  D)
   Rs. 19.75
  done clear
  View Answer play_arrow

• question_answer42)
  If \[x=0.5\]and \[y=0.2,\]then value of \[\sqrt{0.6}\times {{(3y)}^{x}}\]is equal to
  A)
  1.0       
  done clear
  B)
   0.5
  done clear
  C)
   0.6      
  done clear
  D)
   1.1
  done clear
  View Answer play_arrow

• question_answer43)
  Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest each for two years. If his total interest was Rs. 760, what amount was lent in each case?
  A)
  Rs. 1700
  done clear
  B)
   Rs. 1800
  done clear
  C)
   Rs. 1900
  done clear
  D)
   Rs. 2000
  done clear
  View Answer play_arrow

• question_answer44)
  The marked price of an article is 10% higher than cost price. A discount of 10% is given on marked price. In this kind of sale, the seller bears
  A)
  no loss, no gain
  done clear
  B)
   a loss of 5%
  done clear
  C)
   a gain of 1%    
  done clear
  D)
   a loss of 1%
  done clear
  View Answer play_arrow

• question_answer45)
  In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what percent of the group can speak both the languages?
  A)
  38%     
  done clear
  B)
   62%
  done clear
  C)
   28%    
  done clear
  D)
   23%
  done clear
  View Answer play_arrow

• question_answer46)
  A alone can do a piece of work in 6 days and B alone in 8 days .A and B undertook to do it for Rs.  3200. With the help of C they completed the work in 3 days. How much is to be paid to C?
  A)
  Rs. 375
  done clear
  B)
   Rs. 400
  done clear
  C)
   Rs. 600
  done clear
  D)
   Rs. 800
  done clear
  View Answer play_arrow

• question_answer47)
  The value of \[1-\frac{1}{20}+\frac{1}{{{20}^{2}}}-\frac{1}{{{20}^{3}}}+...\]correct to 5 places of decimal, is
  A)
  1.05     
  done clear
  B)
   0.95238
  done clear
  C)
   0.95239
  done clear
  D)
   10.5
  done clear
  View Answer play_arrow

• question_answer48)
  Two trains 140m and 160 m long run at the speeds of 60 km/h and 40 km/h respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is
  A)
  10
  done clear
  B)
   10.8
  done clear
  C)
   9
  done clear
  D)
   9.6
  done clear
  View Answer play_arrow

• question_answer49)
  If \[\sqrt{3}=1.7321,\] the value of  \[\sqrt{192}-\frac{1}{2}\sqrt{48}-\sqrt{75},\] correct to 3 places of decimal, is
  A)
  8.661
  done clear
  B)
   4.331
  done clear
  C)
   1.7321
  done clear
  D)
   \[-1.732\]
  done clear
  View Answer play_arrow

• question_answer50)
  A well 20 m in diameter is dug 14 m deep and the earth taken out is spread all around it to a width of 5 m to form an embankment. The height of the embankment is
  A)
  10 m
  done clear
  B)
   11 m
  done clear
  C)
   11.2 m
  done clear
  D)
   11.5 m
  done clear
  View Answer play_arrow

• question_answer51)
  A trader wishes to gain 20% after allowing 10% discount on the marked price to his customers. At what per cent higher than the cost price must he marks his goods?
  A)
  30
  done clear
  B)
   \[33\frac{1}{3}\] 
  done clear
  C)
   \[34\frac{2}{3}\]
  done clear
  D)
   \[35\]
  done clear
  View Answer play_arrow

• question_answer52)
  At what per cent above the cost price, must a shopkeeper marks his goods so that he gains 20% even after giving a discount of 10% on the marked price?
  A)
   \[25%\]
  done clear
  B)
   \[30%\]
  done clear
  C)
   \[33\frac{1}{3}%\]
  done clear
  D)
   \[37\frac{1}{2}%\]
  done clear
  View Answer play_arrow

• question_answer53)
  A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs \[8\text{g}\,/\,\text{c}{{\text{m}}^{\text{2}}},\] then the weight of the pipe is \[\left( \text{Take}\,\,\pi =\frac{22}{7} \right)\]
  A)
  3.696 kg
  done clear
  B)
   3.6 kg
  done clear
  C)
   36 kg
  done clear
  D)
   36.9 kg
  done clear
  View Answer play_arrow

• question_answer54)
  The greatest number among \[0.7+\sqrt{0.16},1.02-\frac{0.6}{24},\] \[1.2\times 0.83\] and \[\sqrt{1.44}\]is
  A)
   \[0.7+\sqrt{0.16}\]
  done clear
  B)
          \[\sqrt{1.44}\]
  done clear
  C)
   \[1.2\times 0.83\]          
  done clear
  D)
   \[1.02-\frac{0.6}{24}\]
  done clear
  View Answer play_arrow

• question_answer55)
  The average monthly income of X and Y is Rs.  5050. The average monthly income of Y and Z is Rs. 6250 and the average monthly income of X and Z is Rs. 5200. The monthly income of X is
  A)
  Rs. 4050
  done clear
  B)
   Rs. 3500
  done clear
  C)
   Rs. 4000
  done clear
  D)
   Rs. 5000
  done clear
  View Answer play_arrow

• question_answer56)
  The sum of the squares of two numbers is 386. If one of the number is 5, the other will be
  A)
  18
  done clear
  B)
   19
  done clear
  C)
   15
  done clear
  D)
   20
  done clear
  View Answer play_arrow

• question_answer57)
  By selling an article for Rs. 69, there is a loss of 8%, when the article is sold for Rs. 78, the gain or loss per cent is
  A)
  Neither loss nor gain       
  done clear
  B)
   4% gain
  done clear
  C)
   4% loss
  done clear
  D)
                      40% gain
  done clear
  View Answer play_arrow

• question_answer58)
  6 men or 12 women can do a piece of work in 20 days. In how many days can 8 men and 16 women do twice as big as this work?
  A)
  2
  done clear
  B)
   5
  done clear
  C)
   15
  done clear
  D)
   10
  done clear
  View Answer play_arrow

• question_answer59)
  Three athletes A, B and C start moving on a 12 km circular path in same direction with the speed of 3 km/h. 4 km/h and 6 km/h respectively. How many hours later, they would meet at the same point next time?
  A)
  8 h
  done clear
  B)
   12 h
  done clear
  C)
   18 h    
  done clear
  D)
   24 h
  done clear
  View Answer play_arrow

• question_answer60)
  A two digit number is five times the sum of its digits. If 9 is added to the number, the digits interchange their positions. The sum of digits of the number is
  A)
  11
  done clear
  B)
   9
  done clear
  C)
   7
  done clear
  D)
   6
  done clear
  View Answer play_arrow

• question_answer61)
  The monthly income of a person was Rs. 13500 and his monthly expenditure was Rs. 9000. Next year his income increased by 14% and his expenditure increased by 7%. The per cent increase in his savings was
  A)
  7
  done clear
  B)
   21      
  done clear
  C)
   28
  done clear
  D)
   35
  done clear
  View Answer play_arrow

• question_answer62)
  A man spends \[12\frac{1}{2}%\] of his salary on items of daily use and 30% of the remainder on house rent. After that he is left with Rs. 2940. How much is his salary?
  A)
  Rs. 4800
  done clear
  B)
   Rs. 5200
  done clear
  C)
   Rs. 4500
  done clear
  D)
   Rs. 4000
  done clear
  View Answer play_arrow

• question_answer63)
  A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?
  A)
  3
  done clear
  B)
   4  
  done clear
  C)
   5
  done clear
  D)
   2
  done clear
  View Answer play_arrow

• question_answer64)
  10 kg of tea at the rate of Rs. 44/kg is mixed up with 8 kg of tea at the rate of Rs. 62/kg. What would be the average rate to sell the mixture?
  A)
  Rs. 25
  done clear
  B)
   Rs. 37
  done clear
  C)
   Rs. 45
  done clear
  D)
   Rs. 52
  done clear
  View Answer play_arrow

• question_answer65)
  There are three containers of equal capacity. The ratio of sulphuric acid to water -in the first container is 3 : 2, that in the second container is 7 : 3 and in the third container it is 11 : 4. If all the liquids are mixed together, then the ratio of sulphuric acid to water m the mixture will be
  A)
  61 : 29
  done clear
  B)
   61 : 28
  done clear
  C)
   60 : 29
  done clear
  D)
   59 : 29
  done clear
  View Answer play_arrow

• question_answer66)
  The number of employees working in a farm is increased by 25% and the wages per head are decreased by 25%. If it results in x% decrease in total wages, then the value of x is
  A)
  0
  done clear
  B)
   25
  done clear
  C)
   20
  done clear
  D)
   \[\frac{25}{4}\]
  done clear
  View Answer play_arrow

• question_answer67)
  The population of a town 2 yr ago was 62500. Due to migration to big cities, it decreases every year at the rate of 4%. The present population of the town is
  A)
  57600
  done clear
  B)
   56700
  done clear
  C)
   76000
  done clear
  D)
   75000   
  done clear
  View Answer play_arrow

• question_answer68)
  In the \[\Delta \,\,ABC,\] \[BD\] bisects \[\angle \,\,B\] and is perpendicular to AC. If the lengths of the sides of the triangle are expressed in terms of x and y as shown, find the value of x and y      
  A)
  16
  done clear
  B)
   10             
  done clear
  C)
   18
  done clear
  D)
   24 
  done clear
  View Answer play_arrow

• question_answer69)
  A man bought oranges at the rate of 8 for Rs. 34 and sold them at the rate of 12 for Rs. 57. How many oranges should be sold to earn a net profit of Rs. 45?
  A)
  90        
  done clear
  B)
   100           
  done clear
  C)
   135
  done clear
  D)
   150 
  done clear
  View Answer play_arrow

• question_answer70)
    A man gains 20% by selling an article for a certain price. If he sells it at double the price, the  percentage of profit will be  
  A)
               40
  done clear
  B)
   140  
  done clear
  C)
   100
  done clear
  D)
   120   
  done clear
  View Answer play_arrow

• question_answer71)
  If A, B, C, D are angles of a cyclic quadrilateral, then \[\cos A+\cos B+\cos C+\cos D\]is equal to   
  A)
      \[1\]
  done clear
  B)
   \[2\cos A\]
  done clear
  C)
   \[-1\]
  done clear
  D)
  (0)\[0\]
  done clear
  View Answer play_arrow

• question_answer72)
  For any quadrilateral ABCD which of the following statements are true?                    I. \[\sin \,(A+B)+\sin \,(C+D)=0\]                 II. \[\cos \,(A+B)=\cos \,(C+D)\]     
  A)
               Only I
  done clear
  B)
   Only II      
  done clear
  C)
   Both I and II    
  done clear
  D)
   None of these  
  done clear
  View Answer play_arrow

• question_answer73)
  What is the simplest value of \[\frac{(1-\sin A\cos A)({{\sin }^{2}}A-{{\cos }^{2}}A)}{\cos A\,\,(\sec A-\text{cosec}\,\,A)(si{{n}^{3}}A+{{\cos }^{3}}A)}?\]
  A)
   \[\sin A\]
  done clear
  B)
   \[\cos A\]
  done clear
  C)
   \[\sec A\]
  done clear
  D)
   \[\text{cosec}\,\,A\]
  done clear
  View Answer play_arrow

• question_answer74)
  The value of \[(sin20{}^\circ cos70{}^\circ +cos20{}^\circ \sin 70{}^\circ )\] is
  A)
   \[1\]
  done clear
  B)
   \[0\]
  done clear
  C)
   \[-\,\,1\]
  done clear
  D)
   \[\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer75)
  If \[\phi \]and \[\theta \] are supplementary angles, then
  A)
   \[\sin \theta =\sin \phi \]
  done clear
  B)
          \[\cos \theta =\cos \phi \]
  done clear
  C)
   \[\tan \theta =\tan \phi \]           
  done clear
  D)
   \[\sec \phi =\text{cosec}\theta \]
  done clear
  View Answer play_arrow

• question_answer76)
  If a flagstaff of 6 m high placed on the top of a tower throws a shadow of \[2\sqrt{3}\]m along the ground, then the angle that the sun makes with the ground is
  A)
   \[45{}^\circ \] 
  done clear
  B)
   \[60{}^\circ \]
  done clear
  C)
   \[30{}^\circ \] 
  done clear
  D)
   \[90{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer77)
  If AB = 4.7, BC = 8.9, CA = 11.5, then EA is
  A)
  6.07     
  done clear
  B)
   3.97
  done clear
  C)
   2.37    
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer78)
  If the straight lines \[2x+3y-1=0,\] \[x+2y-1=0\]and \[ax+by-1=0\] form a triangle with origin as orthocentre, then (a, b) is given by
  A)
   \[(6,4)\]
  done clear
  B)
   \[(-3,3)\]   
  done clear
  C)
   \[(-8,8)\]
  done clear
  D)
   \[(0,7)\]
  done clear
  View Answer play_arrow

• question_answer79)
  A light ray emerging from the point source placed at P (2, 3) is reflected at a point Q on the y-axis and then passes through the point R (5, 10). Coordinates of Q are
  A)
  (0, 3)
  done clear
  B)
   (0, 2)
  done clear
  C)
   (0, 5)
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer80)
  If the equations \[y=mx+c\] and \[x\cos \alpha +y\sin \alpha =p\] represent the same straight line, then
  A)
   \[p=c\sqrt{1+{{m}^{2}}}\]
  done clear
  B)
   \[c=p\sqrt{1+{{m}^{2}}}\]
  done clear
  C)
   \[cp=\sqrt{1+{{m}^{2}}}\]
  done clear
  D)
   \[{{p}^{2}}+{{c}^{2}}+{{m}^{2}}=1\]
  done clear
  View Answer play_arrow

• question_answer81)
  In the given figure, PQ|| RS. The value of x is
  A)
   \[50{}^\circ \] 
  done clear
  B)
   \[80{}^\circ \]   
  done clear
  C)
   \[75{}^\circ \] 
  done clear
  D)
   \[65{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer82)
  In a \[\Delta ABC,\]\[\angle C=3,\]\[\angle B=2\,\,(A+\angle B),\]then,\[\angle C\] is
  A)
   \[120{}^\circ \]
  done clear
  B)
   \[40{}^\circ \]
  done clear
  C)
   \[20{}^\circ \]
  done clear
  D)
   \[90{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer83)
  In \[\Delta ABC,\] \[\angle A=x{}^\circ ,\] \[\angle B=(3x-2){}^\circ ,\] \[\angle C=y{}^\circ ,\]also then is
  A)
   \[32{}^\circ \] 
  done clear
  B)
   \[73{}^\circ \]
  done clear
  C)
   \[25{}^\circ \]
  done clear
  D)
   \[78{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer84)
  If \[2x+y=35\]and \[3x+4y=65,\]then the value of \[\frac{x}{y}\]is
  A)
   \[\frac{12}{5}\]
  done clear
  B)
   \[\frac{15}{4}\]
  done clear
  C)
   \[3\]
  done clear
  D)
   \[4\]
  done clear
  View Answer play_arrow

• question_answer85)
  If \[x+y=a+b\] and \[ax-by={{a}^{2}}-{{b}^{2}},\] then\[x\] and \[y\] are respectively
  A)
   \[-a,b\]
  done clear
  B)
   \[a,b\]
  done clear
  C)
   \[\frac{1}{a},b\]
  done clear
  D)
   \[-a,-b\]
  done clear
  View Answer play_arrow

• question_answer86)
  The value of k for which the system \[kx+2y=5\] \[3x+y=1\] has  unique solution,  no solution
  A)
   \[k\ne 6\]and \[k=6\]
  done clear
  B)
   \[k\ne 3\]and \[k=3\]
  done clear
  C)
   \[k\ne 2\]and \[k=2\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer87)
  In the adjoining figure, ABCD is a trapezium in which AB||DC. If \[\angle A=55{}^\circ \]and \[\angle B=70{}^\circ ,\]then the value of \[\angle C\]and \[\angle D\] is
  A)
   \[75{}^\circ \] and  \[85{}^\circ \]
  done clear
  B)
   \[90{}^\circ \] and \[120{}^\circ \]
  done clear
  C)
   \[110{}^\circ \] and \[125{}^\circ \]
  done clear
  D)
   \[115{}^\circ \]and \[120{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer88)
  It ABCD is a rectangle, E, F are the mid-points of BC and AD, respectively and G is any point on EF, then what will be the area of AGAB ?
  A)
  Area of rectangle ABCD
  done clear
  B)
   \[\frac{1}{2}\]area of rectangle ABCD
  done clear
  C)
   \[\frac{1}{4}\] area of rectangle ABCD
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer89)
  The remainder, when \[f(x)\]is divide by \[(x-5)\] is where \[f(x)={{x}^{5}}-4{{x}^{4}}+7{{x}^{3}}-11x-13\]
  A)
  289      
  done clear
  B)
   432    
  done clear
  C)
   1432   
  done clear
  D)
   1289
  done clear
  View Answer play_arrow

• question_answer90)
  What is the LCM of\[{{a}^{3}}b-a{{b}^{3}},\]\[{{a}^{3}}{{b}^{2}}+{{a}^{2}}{{b}^{3}}\]and \[ab\,\,(a+b)?\]
  A)
   \[{{a}^{2}}{{b}^{2}}\,\,({{a}^{2}}-{{b}^{2}})\]
  done clear
  B)
   \[ab\,\,({{a}^{2}}-{{b}^{2}})\]
  done clear
  C)
   \[{{a}^{2}}{{b}^{2}}+a{{b}^{3}}\]
  done clear
  D)
   \[{{a}^{3}}{{b}^{3}}\,\,({{a}^{2}}-{{b}^{2}})\]
  done clear
  View Answer play_arrow

• question_answer91)

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

  6, 91, 584, 2935, 11756, 35277, 70558 
  A)
    91
  done clear
  B)
   70558  
  done clear
  C)
   584     
  done clear
  D)
   2935
  done clear
  View Answer play_arrow

• question_answer92)

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

  1, 4, 25, 256, 3125, 46656, 823543
  A)
  3125
  done clear
  B)
   823543
  done clear
  C)
   46656
  done clear
  D)
   25
  done clear
  View Answer play_arrow

• question_answer93)

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

  Production of Rice in 6 states in 1999, 2000 and 2001

  What is the ratio of minimum production and maximum production in any of the given states in any of the given years?
  A)
  3 : 5     
  done clear
  B)
   2 : 3    
  done clear
  C)
   1 : 2    
  done clear
  D)
   2 : 5
  done clear
  View Answer play_arrow

• question_answer94)

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

  Production of Rice in 6 states in 1999, 2000 and 2001

  The total production in three years in state R is what per cent of the total production in state W in three years?
  A)
  75%     
  done clear
  B)
   90%
  done clear
  C)
   125%
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer95)

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

  Production of Rice in 6 states in 1999, 2000 and 2001

  What is the average difference between the average production for all states in 2000 and that in 2001?
  A)
  5.14
  done clear
  B)
   6.14    
  done clear
  C)
   2.17    
  done clear
  D)
   4.17
  done clear
  View Answer play_arrow

• question_answer96)
   

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

  Production of Rice in 6 states in 1999, 2000 and 2001

  From 2000 to 2001 the per cent increase/decrease is minimum for which state?
  A)
  R
  done clear
  B)
   S      
  done clear
  C)
   T
  done clear
  D)
   U
  done clear
  View Answer play_arrow

• question_answer97)

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

  Production of Rice in 6 states in 1999, 2000 and 2001

  The total production in all states in 2001 was approximately what per cent of that in 2000?
  A)
  110%
  done clear
  B)
   120%
  done clear
  C)
   75%    
  done clear
  D)
   90%
  done clear
  View Answer play_arrow

• question_answer98)

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

  Per cent Profit Earned by two Software Companies AKY and YEE Over the Years 1995 to 2001

  Investment of software company YEE in 2001 its more by 40% than that in the previous year. Income in 2001 was what per cent of the investment in 2000?
  A)
  52%     
  done clear
  B)
   242%
  done clear
  C)
   252%
  done clear
  D)
   280%
  done clear
  View Answer play_arrow

• question_answer99)

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

  Per cent Profit Earned by two Software Companies AKY and YEE Over the Years 1995 to 2001

  Average investment of software company AKY over the year was Rs. 52 crore. What was its average income over the years?
  A)
  Rs. 81.12 crore
  done clear
  B)
   Rs. 83 3.0 crore
  done clear
  C)
   Rs. 100.52 crore
  done clear
  D)
   Data inadequate
  done clear
  View Answer play_arrow

• question_answer100)

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

  Per cent Profit Earned by two Software Companies AKY and YEE Over the Years 1995 to 2001

  Income of software company AKY in 1999 was Rs. 43.4 crore. What was the investment?
  A)
  Rs. 29 2 crore
  done clear
  B)
   Rs. 30.8 crore
  done clear
  C)
   Rs. 31.6 crore
  done clear
  D)
   Rs. 28 crore
  done clear
  View Answer play_arrow