7th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-16 Total Questions - 50    [Download]

• question_answer1)
  When a number is multiplied 5 times with itself, it gives the value 1445. Find the number.
  A)
   18                               
  done clear
  B)
   15
  done clear
  C)
   19                               
  done clear
  D)
   17
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  Find the mean proportional between 9 and 64.
  A)
   25                               
  done clear
  B)
   24
  done clear
  C)
   27                               
  done clear
  D)
   35
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  The ages of X and Y are in the ratio of 3 : 5. After 9 yr the ratio of their ages will be 3 : 4. The present age of Y is
  A)
   12 yr               
  done clear
  B)
   15 yr
  done clear
  C)
   20 yr                           
  done clear
  D)
   25 yr
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in yr is 1000, then find the father's age after 10 yr.
  A)
   40 yr               
  done clear
  B)
   50 yr
  done clear
  C)
   60 yr   
  done clear
  D)
   100 yr
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  If 70% of a number is equal to three - fifth of second number, what is the ratio between the 1st and the 2nd number respectively?
  A)
   7 : 6                            
  done clear
  B)
   6 : 7
  done clear
  C)
   3 : 7                            
  done clear
  D)
   7 : 3
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  The difference between 90% of a number and 79% of the same number is 231. What is 99% of that number?
  A)
   2078               
  done clear
  B)
   2475
  done clear
  C)
   2500                           
  done clear
  D)
   2779
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  A can complete a piece of work in 18 days and B can complete the same work in half of the time taken by A. Then, working together, what part of the same work they can complete in a day?
  A)
   \[\frac{1}{6}\] 
  done clear
  B)
   \[\frac{1}{9}\]
  done clear
  C)
   \[\frac{2}{5}\]                         
  done clear
  D)
   \[\frac{2}{7}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  A student was asked to multiply a number by \[\frac{3}{2}\] but he divided that number\[\frac{3}{2}\] by. His result was therefore 10 less than the correct answer. Find the number.
  A)
   10                               
  done clear
  B)
   12
  done clear
  C)
   15                               
  done clear
  D)
   20
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  The average of 5 consecutive odd numbers, A, B, C, D and E is 95. Find the product of C and E.
  A)
   9215               
  done clear
  B)
   9405
  done clear
  C)
   9120                           
  done clear
  D)
   9603
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  The average of 13 results is 60. If the average of first 7 results is 59 and that of the last 7 results is 61, what will be the seventh result?
  A)
   90                               
  done clear
  B)
   50
  done clear
  C)
   75                               
  done clear
  D)
   60
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  If A : B = 3 : 4 and B : C = 8 : 9, then find the value of A : B : C.
  A)
   3 : 4 : 5                      
  done clear
  B)
   1 : 2 : 3
  done clear
  C)
   7 : 12 : 17                   
  done clear
  D)
   6 : 8 : 9
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  A sum of Rs. 782 has been divided between P, Q and R in the ratio of \[\frac{1}{2}:\frac{2}{3}:\frac{3}{4}\]. Find the share of R.
  A)
   Rs. 456            
  done clear
  B)
   Rs. 395
  done clear
  C)
   Rs. 306
  done clear
  D)
   Rs. 286
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  A businessman purchased 30 TV sets in Rs. 300000. If the average cost of 15 TV sets is Rs. 9000, then find out the average cost of remaining TV sets.
  A)
   Rs. 20000                    
  done clear
  B)
   Rs. 12000
  done clear
  C)
   Rs. 11000        
  done clear
  D)
   Rs. 10000
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  A mixture contains alcohol and water in the ratio of 4 : 3. If 14 L of water is added to the mixture, the ratio of alcohol and water becomes 4 : 5. Find the quantity of alcohol in the mixture.
  A)
   35 L                            
  done clear
  B)
   28 L
  done clear
  C)
   24 L                            
  done clear
  D)
   18 L
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  If \[x+~\frac{1}{x}=2,\] then find the value of \[\frac{2{{x}^{2}}+2}{3{{x}^{2}}+5x+3}.\]
  A)
   \[\frac{4}{11}\]
  done clear
  B)
   \[\frac{1}{2}\]
  done clear
  C)
   \[1\,\,\frac{3}{4}\]                                
  done clear
  D)
   \[2\,\,\frac{1}{3}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  When an amount is distributed amongst 14 girls, each of them gets Rs. 160 more than the amount received by each girl in the condition when the same amount is distributed equally amongst 18 girls. Find the original amount.
  A)
   Rs. 5040                      
  done clear
  B)
   Rs. 10070
  done clear
  C)
   Rs. 10080        
  done clear
  D)
   Rs. 5000
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  A man spends 40% of his monthly salary on food and one - third of the remaining on transport. If he saves Rs. 4500 per month, which is equal to half the balance after spending on food and transport, his monthly salary is -
  A)
   Rs. 11250                    
  done clear
  B)
   Rs. 22500
  done clear
  C)
   Rs. 25000                    
  done clear
  D)
   Rs. 45000
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  If \[2x+3y=68\] and \[\frac{x+y}{y}=1\frac{5}{8},\] find the value of \[8x+5y\].
  A)
   197                             
  done clear
  B)
   168
  done clear
  C)
   160     
  done clear
  D)
   142
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  At a certain rate of simple interest an amount of Rs. 2000 becomes Rs. 2620 in 5 years. If the rate of interest had been 3% more, the same amount would have become
  A)
   Rs. 3920                      
  done clear
  B)
   Rs. 2920
  done clear
  C)
   Rs. 2530                      
  done clear
  D)
   All of these
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  What will be the compound interest on a sum of Rs. 12, 000 after 3 years at the rate at which the sum increased upto 60 % in 6 years at simple interest?
  A)
   Rs. 1510                      
  done clear
  B)
   Rs. 2160
  done clear
  C)
   Rs. 2025                      
  done clear
  D)
   Rs. 3972
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  Five times of a positive integer is equal to 3 less than twice the square of that number. Find the number.
  A)
   3        
  done clear
  B)
   13
  done clear
  C)
   23                               
  done clear
  D)
   33
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  The value of \[\sqrt{\frac{{{(0.03)}^{2}}+{{(0.021)}^{2}}+{{(0.065)}^{2}}}{{{(0.003)}^{2}}+{{(0.0021)}^{2}}+{{(0.0065)}^{2}}}}\]is
  A)
   48                               
  done clear
  B)
   35
  done clear
  C)
   25                               
  done clear
  D)
   10
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer23)
  Two vessels P and Q contain wine and water in the ratios of 5 : 2 and 8 : 5, respectively. Find the ratio in which these mixtures are to be mixed to get a new mixture containing wine and water in the ratio of 9 : 4.
  A)
   2 : 7                            
  done clear
  B)
   7 : 2
  done clear
  C)
   7 : 3                            
  done clear
  D)
   3 : 7
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  Find the unit digit in the product of  \[\left( 268\times 826\times 102 \right)\].
  A)
   5                                
  done clear
  B)
   3
  done clear
  C)
   4                                
  done clear
  D)
   6
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  Ramesh bought two boxes for Rs. 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both the boxes is same, find the cost price of each box.
  A)
   Rs. 650, Rs. 650           
  done clear
  B)
   Rs. 550, Rs. 750
  done clear
  C)
   Rs. 450, Rs. 750           
  done clear
  D)
   Rs. 546, Rs. 755
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer26)
  20 men complete one third of a work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days?
  A)
   32                               
  done clear
  B)
   20
  done clear
  C)
   12       
  done clear
  D)
   10
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  If \[a+b+c=14\] and \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=96,\] then \[\left( ab+bc+ca \right)=?\]
  A)
   51                               
  done clear
  B)
   55
  done clear
  C)
   50       
  done clear
  D)
   65
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  If \[x>1\] and \[\frac{\sqrt{x+1}+\sqrt{x-1}}{\sqrt{x+1}-\sqrt{x-1}}=2,\] then find the value of x.
  A)
   \[\frac{4}{3}\]                         
  done clear
  B)
   \[\frac{3}{4}\]
  done clear
  C)
   \[\frac{5}{4}\] 
  done clear
  D)
   \[\frac{4}{5}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)
  In the given diagram, if \[AB\left| \text{ } \right|CD,\]\[\angle ODC\]\[\angle BOD=152{}^\circ \], then find the value of\[\angle ODC\].
  A)
   \[34{}^\circ \]                         
  done clear
  B)
   \[70{}^\circ \]
  done clear
  C)
   \[80{}^\circ \]                         
  done clear
  D)
   \[90{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)
  In the given figure, equilateral triangle EBC surmounts square ABCD. Find the value of\[x\].
  A)
   \[45{}^\circ \]             
  done clear
  B)
   \[65{}^\circ \]
  done clear
  C)
   \[55{}^\circ \]                         
  done clear
  D)
   \[35{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  'A' is the father of 'B' and 'C', 'B' is the son of 'A' but 'C' is not the son of 'A'. What is 'C's' relation with 'A'?
  A)
   Daughter                      
  done clear
  B)
   Son
  done clear
  C)
   Nice                            
  done clear
  D)
   Nephew
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)
  Find the next term in the series given below: 57, 87, 50, 81, 45, 77, 42, ?
  A)
   71                               
  done clear
  B)
   75
  done clear
  C)
   53                               
  done clear
  D)
   69
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer33)
  Complete the following series. BXL, ETD, FRC, CXH, ?
  A)
   SLT                            
  done clear
  B)
   PLB
  done clear
  C)
   CDB                           
  done clear
  D)
   BVK
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer34)
  Reeta forget the way while going to her uncle's house. She went 2 km South, then turned right and went 2 km West. She then turned right and walked 3 km, and again turned right and walked 1 km to reach her uncle's house. How far was her uncle's house from Reeta's house?
  A)
   1 km                           
  done clear
  B)
   7 km
  done clear
  C)
   2 km                           
  done clear
  D)
   \[\sqrt{2}\] km
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  Two brothers were expected to return home on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Thursday, then what was the expected day when both the brothers were to return home and when did Rohit return?
  A)
   Wednesday, Sunday
  done clear
  B)
   Thursday, Monday
  done clear
  C)
   Sunday, Thursday
  done clear
  D)
   Monday, Friday
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  If 'HI' is coded as '1', then find the code for 'DH'.
  A)
   4        
  done clear
  B)
   18
  done clear
  C)
   8                                
  done clear
  D)
   10
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  Which number is on the opposite surface of number 3?
  A)
   2                                
  done clear
  B)
   3
  done clear
  C)
   4        
  done clear
  D)
   6
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  Find the number which replaces the "?"

  7	4	5
  8	7	6
  3	3	?
  29	19	31

  A)
   3                                
  done clear
  B)
   5
  done clear
  C)
   4                                
  done clear
  D)
   6
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  How does the shape (X) below will look like when folded in?
  A)
   a and c only     
  done clear
  B)
   a and b only
  done clear
  C)
   b and d only                
  done clear
  D)
   c and d only
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  In the following question

  \['\Delta '\]means 'bigger than'.

  \['\square '\] means 'smaller than'.

  \['\phi '\] means 'is equal to'.

  \['\oplus '\] means, is not equal to'

  If \[C\,\Delta \,A;\,\,A\,\square \,B;\,\,D\,\phi \,B\] and\[B\,\square \,C\], then

  A)
   \[D\,\Delta \,A\]
  done clear
  B)
   \[D\,\square \,C\]
  done clear
  C)
   \[A\,\Delta \,C\]            
  done clear
  D)
   \[B\,\oplus \,D\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer41)
  The ages of two friends A and B differ by 3 yr. A's father D is twice as old as A and B is twice as old as his sister C. The ages of C and D differ by 30 yr, then find the ages of A and B.
  A)
   19 yr, 15 yr                  
  done clear
  B)
   18 yr, 16 yr
  done clear
  C)
   19 yr, 16 yr      
  done clear
  D)
   18 yr, 15 yr
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer42)
  There are two triangles A and B. The angles of triangle A are in the ratio of 3 : 4 : 5 and the angles of triangle B are in the ratio of 5 : 6 : 7. What is the difference between largest angle of triangle A and the smallest angle of triangle B?
  A)
   \[28{}^\circ \]                         
  done clear
  B)
   \[35{}^\circ \]
  done clear
  C)
   \[25{}^\circ \]
  done clear
  D)
   \[40{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer43)
  Rs. 2186 is distributed amongst A, B and C. If money given to them is decreased by Rs. 26, Rs. 28 and Rs. 32, respectively, then they have money in the ratio of 9 : 13 : 8. What is the amount given to B?
  A)
   Rs. 885            
  done clear
  B)
   Rs. 938
  done clear
  C)
   Rs. 956            
  done clear
  D)
   Rs. 972
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer44)
  Salary of Mr. X is 80% of the salary of Mr. Y and the salary of Mr. Z is 120% of the salary of Mr. X. What is the ratio between the salaries of X, Y and Z, respectively?
  A)
   20 : 24 : 25                  
  done clear
  B)
   20 : 25 : 24
  done clear
  C)
   16 : 24 : 25                  
  done clear
  D)
   16 : 25 : 24
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer45)
  A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is above the cost price by:
  A)
   40%                            
  done clear
  B)
   39%
  done clear
  C)
   50%    
  done clear
  D)
   20%
  done clear
  E)
   None, of these
  done clear
  View Answer play_arrow

• question_answer46)
  A and B together can do a piece of work in 30 days, B and C together can do it in 20 days. A starts the work and works on it for 5 days, then B works for 15 days. Finally C finishes the work in 18 days. In how many days can C alone do the work?
  A)
   40 days                       
  done clear
  B)
   24 days
  done clear
  C)
   120 days                     
  done clear
  D)
   60 days
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer47)
  10 men or 20 women or 40 children can do a piece of work in 7 months. Then 5 men, 5 women and 5 children together can do half of the work in-
  A)
   6 months                     
  done clear
  B)
   4 months
  done clear
  C)
   5 months                     
  done clear
  D)
   8 months
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer48)
  The average speed of a train is 20% less on the return journey than on the onward journey. The train halts for half an hour at the destination station before starting on the return journey. If the total time taken for the ?to and fro? journey is 23 h, covering a distance of 1000 km, the speed of the train on the return journey is
  A)
   60 km/h approx
  done clear
  B)
   40 km/h approx.
  done clear
  C)
   50 km/h approx
  done clear
  D)
   55 km/h approx
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer49)
  If \[a-b=5\] and \[{{a}^{2}}-{{b}^{2}}=65\], then find the value of\[{{a}^{2}}+{{b}^{2}}\].
  A)
   10                               
  done clear
  B)
   47
  done clear
  C)
   85                               
  done clear
  D)
   95
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer50)
  \[\frac{5\,\,-\left[ \frac{3}{4}+\,\,\,\left\{ 2\,\,\frac{1}{2}-\left( \frac{1}{2}+\frac{1}{6}-\frac{1}{7} \right) \right\} \right]=?}{2}\]
  A)
   \[1\,\,\frac{23}{168}\]  
  done clear
  B)
   \[2\,\,\frac{23}{168}\]
  done clear
  C)
   \[3\,\,\frac{23}{168}\]              
  done clear
  D)
   \[4\,\,\frac{23}{168}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow