7th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-17 Total Questions - 50    [Download]

• question_answer1)
  The value of \[\left[ \left( -\,3 \right)\times \left( -\,6 \right)\times \left( -\,40 \right) \right]\div \left[ \left( -\,8 \right)\times \left( -\,5 \right)\times \left( -\,2 \right) \right]\] is:
  A)
   \[-\,9\]                         
  done clear
  B)
   9
  done clear
  C)
   12                               
  done clear
  D)
   \[-\,6\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  The product of given 11 fractions is: \[\left( 1-\frac{1}{18} \right)\left( 1-\frac{1}{19} \right)\left( 1-\frac{1}{20} \right)\left( 1-\frac{1}{21} \right).......\left( 1-\frac{1}{28} \right)\]
  A)
   \[\frac{18}{28}\]                                  
  done clear
  B)
   \[\frac{17}{28}\]
  done clear
  C)
   \[\frac{19}{28}\]                                  
  done clear
  D)
   \[\frac{31}{28}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  What is the least number which when divided by 7, 9, 12 and 14 leaves remainder 6 in each case?
  A)
   256                             
  done clear
  B)
   361
  done clear
  C)
   258                 
  done clear
  D)
   246
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  Simplify: \[444-\left[ \frac{1}{4}\,\,\left\{ 61+\left( 58-\overline{14-5} \right)+102 \right\} \right]\]
  A)
   381                             
  done clear
  B)
   391
  done clear
  C)
   412                             
  done clear
  D)
   398
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  The value of \[\frac{{{(2\times 50)}^{93}}+{{(4\times 25)}^{98}}}{{{100}^{93}}}-1\] is equal to:
  A)
   \[{{10}^{8}}\]                                   
  done clear
  B)
   \[{{10}^{5}}\]
  done clear
  C)
   \[{{10}^{6}}\]                                   
  done clear
  D)
   \[{{10}^{10}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  Which one of the following does not give the quotient as an integer?
  A)
   \[18\div \left( -\,6 \right)\]           
  done clear
  B)
   \[-\,36\div 18\]
  done clear
  C)
   \[-18\div \left( -\,3 \right)\]                      
  done clear
  D)
   \[-\,42\div \left( -\,42 \right)\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  If \[{{8}^{(3x-6)}}={{4}^{2(3x-9)}},\] then the value of \[{{x}^{2}}\]is:
  A)
   16                               
  done clear
  B)
   36
  done clear
  C)
   49                               
  done clear
  D)
   64
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  In the given multiplication, * stands for a digit. If the unit digit of whole product is 6, then the missing digit * could be: \[(88734*)\times (210983)\times (711536)\]
  A)
   6                                
  done clear
  B)
   4
  done clear
  C)
   3                                
  done clear
  D)
   7
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  The value of \[\frac{1}{3+\frac{1}{3+\frac{1}{3-\frac{1}{3}}}}\]is:
  A)
   \[\frac{8}{27}\]                        
  done clear
  B)
   \[\frac{27}{89}\]
  done clear
  C)
   \[\frac{3}{24}\]                        
  done clear
  D)
   \[\frac{9}{25}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  What per cent of the given figure is shaded?
  A)
   \[33\,\,\frac{1}{3}%\]               
  done clear
  B)
   \[33\,\,\frac{1}{4}%\]
  done clear
  C)
   \[37\,\,\frac{1}{2}%\]
  done clear
  D)
   \[38\,\,\frac{2}{3}%\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  If \[\sqrt{6084}=78,\] then the value of \[\sqrt{60.84}+\sqrt{0.6084}+\sqrt{0.006084}\] is:
  A)
   6.858              
  done clear
  B)
   8.658
  done clear
  C)
   86.8658                       
  done clear
  D)
   8.678
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  Which one of the following is correct for the statements given below?

  Statement I: Every polynomial is an expression but every expression need not to be a polynomial.

  Statement II: If \[\left( a+b+c \right)=0,\] then \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}=3\,abc\].

  A)
   Statement I is true and II is false.
  done clear
  B)
   Statement II is true and 1 is false.
  done clear
  C)
   Both the statements I and II are true.
  done clear
  D)
   Both the statements I and II are false.
  done clear
  E)
   Cannot be determined
  done clear
  View Answer play_arrow

• question_answer13)
  If \[{{a}^{2}}+\frac{1}{{{a}^{2}}}=11,\]then the value of \[{{a}^{3}}-\frac{1}{{{a}^{3}}}\]is:
  A)
   45                               
  done clear
  B)
   18
  done clear
  C)
   27                               
  done clear
  D)
   36
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  By how much is \[({{x}^{4}}+9{{x}^{2}}{{y}^{2}}+{{y}^{4}})\] more than \[({{x}^{4}}+6{{x}^{2}}{{y}^{2}}-{{y}^{4}})?\]
  A)
   \[-\,3\,{{x}^{2}}{{y}^{2}}+2\,{{y}^{4}}\] 
  done clear
  B)
   \[12\,{{x}^{2}}{{y}^{2}}\]
  done clear
  C)
   \[2\,{{x}^{2}}{{y}^{2}}+{{y}^{4}}\]                    
  done clear
  D)
   \[3\,{{x}^{2}}{{y}^{2}}+2\,{{y}^{4}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  The value of 20% of 40% of 60% of 1000 is:
  A)
   24                               
  done clear
  B)
   125
  done clear
  C)
   96                               
  done clear
  D)
   48
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  What number should be subtracted from 18, 8, 9 and 5 so that these numbers are in proportion?
  A)
   4                                
  done clear
  B)
   3
  done clear
  C)
   1                                
  done clear
  D)
   2
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  In a 2 - digit number, the unit place digit is 5 more than the ten's place digit. If the number is thrice the sum of the digits, then find the one - third of the number.
  A)
   6                                
  done clear
  B)
   27
  done clear
  C)
   18                               
  done clear
  D)
   9
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  If \[3A=8B=12C\], then A : B : C = ­­­­­­­­________.
  A)
   4 : 3 : 1                       
  done clear
  B)
   8 : 3 : 2
  done clear
  C)
   8 : 6 : 1                       
  done clear
  D)
   4 : 2 : 1
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  The average age of 31 students of a class is 18 years. If the teacher's age is also included, then the average age increases by 1 year. The age of teacher is:
  A)
   50 years                      
  done clear
  B)
   49 years
  done clear
  C)
   60 years                      
  done clear
  D)
   52 years
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  A man sold 8 books for Rs. 384 and gained 20%. How many books did he buy for Rs. 760?
  A)
   18                               
  done clear
  B)
   17
  done clear
  C)
   19       
  done clear
  D)
   21
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  In the   figure   given   below, \[PQ\left| \text{ } \right|BC,\] \[\angle BAC=85{}^\circ \] and \[\angle ACB=35{}^\circ ,\] then which of the following is incorrect
  A)
   \[\angle ABC=60{}^\circ \]                  
  done clear
  B)
   \[\angle APQ=60{}^\circ \]
  done clear
  C)
   \[\angle AQP=45{}^\circ \]      
  done clear
  D)
   \[\angle PQC=145{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  In the given scalene\[\Delta \,ABC,\] which one of the following conditions holds true?
  A)
   \[BC-AB>AC\] 
  done clear
  B)
   \[AB+\text{ }BC<AC\]
  done clear
  C)
   \[BC-AB<AC\] 
  done clear
  D)
   \[BC+AC<AB\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer23)
  In   the   figure   given   below, \[AC\bot BD,\] \[\Delta \,OAB\cong \Delta \,OCD\] then which one of the following relations must be true?
  A)
   \[OA=OB\]                  
  done clear
  B)
   \[OA=CD\]
  done clear
  C)
   \[OA=\frac{1}{2}\times AC\]
  done clear
  D)
   \[OA=\frac{1}{2}\times BD\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  Which one of the following triangles is practically possible?
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  In the figure given below, ABCD is a square of side 28 cm, and two semicircles are drawn inside it with AB and CD as diameters. Find the area of the unshaded portion. \[\left( \text{Use}\,\pi \,\text{=}\frac{22}{7} \right)\]
  A)
   \[476\,c{{m}^{2}}\]               
  done clear
  B)
   \[168\,c{{m}^{2}}\]
  done clear
  C)
   \[238\,c{{m}^{2}}\]               
  done clear
  D)
   \[315\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer26)
  A student was asked to multiply a number by 15 but he instead multiplied the number by 51 and got the product 468 more than the correct product. The number to be multiplied was:
  A)
   11                               
  done clear
  B)
   13
  done clear
  C)
   14                               
  done clear
  D)
   17
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  Find the compound interest on Rs. 15000 for 2 years at 4% per annum.
  A)
   Rs. 1224          
  done clear
  B)
   Rs. 1156
  done clear
  C)
   Rs. 1248                      
  done clear
  D)
   Rs. 1296
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  The value of \[{{\left( \frac{64}{125} \right)}^{\frac{2}{3}}}\times {{\left( \frac{64}{125} \right)}^{\frac{5}{3}}}\]is equal to:
  A)
   \[\frac{125}{64}\]                                
  done clear
  B)
   \[\frac{{{4}^{2}}}{{{5}^{5}}}\]
  done clear
  C)
   \[{{\left( \frac{4}{5} \right)}^{7}}\]
  done clear
  D)
   \[\frac{16}{25}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)

  Following pie chart represents food items preferred by 21600 people in a survey.

  Find the difference between the numbers of people preferring bread and salad.

  A)
   2260               
  done clear
  B)
   2280
  done clear
  C)
   2298                           
  done clear
  D)
   2320
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)
  In \[n\,(P-Q)=67,\] \[n\,(P\cap Q)=84\] and \[n\,(P\cup Q)=210,\] then find n (Q).
  A)
   127                             
  done clear
  B)
   118
  done clear
  C)
   143     
  done clear
  D)
   129
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  Find the missing number (?) in the number pattern given below.
  A)
   262                             
  done clear
  B)
   253
  done clear
  C)
   205     
  done clear
  D)
   225
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)
  Which one of the following pairs of letters will replace the question mark (?) in the pattern given below? \[YF,\,WI,\,UL,\,SO,\,QR\,\underline{?}\]
  A)
   OT                              
  done clear
  B)
   OU
  done clear
  C)
   OV                             
  done clear
  D)
   PU
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer33)
  Which one of the following is different from the rest?
  A)
   Rectangle                     
  done clear
  B)
   Rhombus
  done clear
  C)
   Circle
  done clear
  D)
   Parallelogram
  done clear
  E)
   Kite
  done clear
  View Answer play_arrow

• question_answer34)
  In a certain language, if 'PINK' is coded as 'NGLI', then the code for 'ROSE' in this language will be:
  A)
   QMRC             
  done clear
  B)
   PNQC
  done clear
  C)
   QNRD             
  done clear
  D)
   PMQC
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  Four positions of a dice are given. The numbers opposite to 1 and 6 are respectively:
  A)
   2 and 5           
  done clear
  B)
   5 and 3
  done clear
  C)
   3 and 4           
  done clear
  D)
   2 and 3
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  Pointing to a boy, Mukul said, "He is the son of the only son of my mother". How is Mukul related to that boy?
  A)
   Cousin             
  done clear
  B)
   Father
  done clear
  C)
   Uncle              
  done clear
  D)
   Brother
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  If \[A=1,\] \[AS=10\] and \[ADS=8,\] then AKAS = _______.
  A)
   16                               
  done clear
  B)
   8
  done clear
  C)
   7                                
  done clear
  D)
   12
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  I am facing South. I turn right and walk 40 m. Then I turn right again and walk 20 m. Then I turn left and walk 20 m and then turning right walk 40 m. Then I turn right again and walk 120 m. In which direction am I from the starting point?
  A)
   East                            
  done clear
  B)
   North - West
  done clear
  C)
   West                           
  done clear
  D)
   North - East
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  How many triangles are there in the figure given below?
  A)
   7                    
  done clear
  B)
   8
  done clear
  C)
   9                                
  done clear
  D)
   10
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  There is a certain relationship between the Figures (i) and (ii). Establish the same relationship between Figures (iii) and (iv) by selecting a suitable figure from the options that will replace the question mark (?) in the Figure (iv).
  A)
                  
  done clear
  B)
   
  done clear
  C)
                   
  done clear
  D)
   
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer41)
  If \[P=\frac{{{2}^{x+3}}\times {{3}^{2x-y}}\times {{5}^{x+y+3}}\times {{6}^{y+1}}}{{{6}^{x+1}}\times \,\,{{10}^{y+3}}\times {{15}^{x}}}\] and \[Q={{P}^{2}}\] then the value of \[({{P}^{2}}+P+Q)\]is:
  A)
   1                                
  done clear
  B)
   3
  done clear
  C)
   6                                
  done clear
  D)
   10
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer42)
  If \[\left( 3a+2b \right):\left( 4a+b \right)=5:4,\] then the value of \[\frac{8a+b}{8a-b}\] is:
  A)
   \[\frac{2}{3}\]                         
  done clear
  B)
   2
  done clear
  C)
   \[\frac{1}{2}\]                         
  done clear
  D)
   \[\frac{8}{3}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer43)
  Find the fraction represented by shaded parts in the figure given below.
  A)
   \[\frac{39}{64}\]                                  
  done clear
  B)
   \[\frac{39}{128}\]
  done clear
  C)
   \[\frac{37}{128}\]        
  done clear
  D)
   \[\frac{35}{128}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer44)
  Three paths pass through a park as shown below. How much would it cost to pave the paths with tiles if paving a square metre is cost Rs. 100?
  A)
   Rs. 17200                    
  done clear
  B)
   Rs. 28800
  done clear
  C)
   Rs. 27900                    
  done clear
  D)
   Rs. 25200
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer45)
  In the rectangle ABCD given below,\[BP||DQ\]. Find the ratio of shaded region to the unshaded region.
  A)
   7 : 2    
  done clear
  B)
   5 : 2
  done clear
  C)
   2 : 1                            
  done clear
  D)
   3 : 2
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer46)
  Find the area of shaded portion in the figure given below.
  A)
   \[270\,\,c{{m}^{2}}\]             
  done clear
  B)
   \[240\,\,c{{m}^{2}}\]
  done clear
  C)
   \[200\,\,c{{m}^{2}}\]             
  done clear
  D)
   \[250\,\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer47)
  In the figure given below, if the ratio of the values of \[x{}^\circ \] and \[y{}^\circ \] is \[4:3,\] then find their difference.
  A)
   \[6{}^\circ \]                           
  done clear
  B)
   \[8{}^\circ \]
  done clear
  C)
   \[10{}^\circ \] 
  done clear
  D)
   \[12{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer48)
  If \[x-y=8\] and \[{{x}^{2}}-{{y}^{2}}=16m,\] then the product of \[x\] and \[y\] is:
  A)
   \[16-{{m}^{2}}\]                   
  done clear
  B)
   \[{{m}^{2}}-4\]
  done clear
  C)
   \[{{m}^{2}}-4\]                     
  done clear
  D)
   \[4-{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer49)
  Find the value of \[\frac{7.06\times 7.06+7.06\times 3.05+3.05\times 3.05}{7.06\times 7.06\times 7.06-3.05\times 3.05\times 3.05}\] up to 3 decimal places.
  A)
   0.249  
  done clear
  B)
   0.247
  done clear
  C)
   0.218              
  done clear
  D)
   0.268
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer50)
  A certain amount x is divided among Mr. Arora, Mr. Mehta and Mr. Gupta. The share of Mr. Arora is one-fifth of the total money, the share of Mr. Mehta is one - fourth of the remaining money and the share of Mr. Gupta is Rs. 1800. Find the value of \[x\].
  A)
   Rs. 3600                      
  done clear
  B)
   Rs. 4000
  done clear
  C)
   Rs. 3000          
  done clear
  D)
   Rs. 3200
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow