7th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-18 Total Questions - 50    [Download]

• question_answer1)
  How many prime numbers are there in \[{{6}^{7}}\times {{35}^{5}}\times {{11}^{12}}?\]
  A)
   28                               
  done clear
  B)
   36
  done clear
  C)
   42                               
  done clear
  D)
   45
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  A number is multiplied and divided by the number\[\frac{7}{19}\]. The difference between the two results is 312. The given number is:
  A)
   133     
  done clear
  B)
   49
  done clear
  C)
   19                               
  done clear
  D)
   7
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  If \[\text{47}\text{.2506}\,\,\text{=}\,\,\text{4}\,\text{A}\,\text{+}\,\frac{\text{7}}{\text{B}}\,\text{+}\,\text{2}\,\text{C}\,\text{+}\,\frac{\text{5}}{\text{D}}\,\text{+}\,\text{6}\,\text{E,}\] then the value of \[5A+3B+6C+D+3E\] is
  A)
   53.6003                       
  done clear
  B)
   53.603
  done clear
  C)
   153.6003         
  done clear
  D)
   213.0003
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  Find the mean proportional between 16 and 81.
  A)
   24                               
  done clear
  B)
   32
  done clear
  C)
   36       
  done clear
  D)
   42
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  If \[P*Q*R=\sqrt{\frac{(P+1)(Q-3}{R}},\] then the value of \[14*38*21\] is:
  A)
   2                                
  done clear
  B)
   5
  done clear
  C)
   7                                
  done clear
  D)
   8
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  If \[\sqrt{3481}=59,\] then the value of \[\sqrt{34.81}+\sqrt{0.3481}+\sqrt{0.003481}\]is:
  A)
   5.949              
  done clear
  B)
   6.549
  done clear
  C)
   6.949              
  done clear
  D)
   6.0549
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  The product of two rational numbers is \[\frac{-33}{78}\]. If one of the number is \[\frac{15}{22},\] then find the other rational number.
  A)
   \[\frac{121}{195}\]                              
  done clear
  B)
   \[\frac{121}{-195}\]
  done clear
  C)
   \[\frac{122}{195}\]                              
  done clear
  D)
   \[\frac{-123}{-195}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  Taking today as zero on the number line if the day before yesterday is 24 February 2016, what is the day, 6 days after tomorrow?
  A)
   Thursday                     
  done clear
  B)
   Friday
  done clear
  C)
   Saturday                     
  done clear
  D)
   Wednesday
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  Find the value of \[4xy\left( x-y \right)-6{{x}^{2}}\left( y-{{y}^{2}} \right)-\] \[3{{y}^{2}}\left( 2{{x}^{2}}-x \right)+2xy\left( x-y \right)\] for \[x=5\] and \[y=13\]
  A)
   \[-1955\]                      
  done clear
  B)
   2535
  done clear
  C)
   \[-\,2535\]
  done clear
  D)
   1955
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  The denominator of a rational number is greater than its numerator by 6. If the numerator is increased by 5 and the denominator is decreased by 3 then the number obtained is\[\frac{5}{4}\]. Find the rational number.
  A)
   \[\frac{5}{11}\]
  done clear
  B)
   \[\frac{13}{19}\]
  done clear
  C)
   \[\frac{11}{17}\]                                  
  done clear
  D)
   \[\frac{7}{13}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  Arrange the following rational numbers in descending order. \[\frac{17}{30},\frac{-\,3}{-\,5},\frac{4}{-15},\frac{-\,7}{15}\]
  A)
   \[\frac{-\,3}{-\,5}<\frac{17}{30}<\frac{4}{-15}<\frac{-\,7}{15}\]
  done clear
  B)
   \[\frac{-\,3}{-\,5}>\frac{17}{30}>\frac{4}{-\,15}>\frac{-\,7}{15}\]
  done clear
  C)
   \[\frac{17}{30}>\frac{-\,3}{-\,5}>\frac{4}{-\,15}>\frac{-\,7}{15}\]
  done clear
  D)
   \[\frac{4}{-\,15}<\frac{-\,7}{15}<\frac{-\,3}{-\,5}<\frac{17}{30}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  If AY parallel to CX, then find\[\angle ABC\].
  A)
   \[45{}^\circ \]                         
  done clear
  B)
   \[60{}^\circ \]
  done clear
  C)
   \[75{}^\circ \]                         
  done clear
  D)
   \[90{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  If the value of \[\frac{{{7}^{x+3}}\times {{9}^{2x-y}}\times {{11}^{x+y+3}}\times {{(63)}^{y+1}}}{{{(63)}^{x+1}}\times {{(77)}^{y+3}}\times {{(99)}^{x}}}\] equal to A, then the value of \[3A+\frac{5}{3}\] is:
  A)
   \[\frac{23}{3}\]                        
  done clear
  B)
   \[\frac{14}{3}\]
  done clear
  C)
   0                                
  done clear
  D)
   1
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  A sum of money doubles itself in 10 years at simple interest. In how many years would it triple itself?
  A)
   10                               
  done clear
  B)
   15
  done clear
  C)
   20
  done clear
  D)
   25
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  What is the total number of candidates who appeared in an examination, if 31 % has failed and the number of passed candidates are 247 more than the number of failed candidates?
  A)
   650     
  done clear
  B)
   750
  done clear
  C)
   800                             
  done clear
  D)
   900
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  The price of pure mustard oil is Rs. 100 per litre. A shopkeeper adulterates it with some other types of oils at Rs. 50 per litre. He sells the mixture at the rate of Rs. 96 per litre so as to gain 20 % on the whole transaction. The ratio in which he mixed the two oils is:
  A)
   1 : 2                            
  done clear
  B)
   2 : 3
  done clear
  C)
   3 : 2    
  done clear
  D)
   1 : 4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  If the simple interest on a certain sum for 3 years at the rate of 8 % per annum is half of the compound interest on Rs. 4000 for 2 years at the rate of 10% per annum, then the sum for simple interest is:
  A)
   Rs. 1230                      
  done clear
  B)
   Rs. 1250
  done clear
  C)
   Rs. 1730                      
  done clear
  D)
   Rs. 1750
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  In the figure CD is parallel to AB. Then angle Y is equal to:
  A)
   \[40{}^\circ \]                         
  done clear
  B)
   \[60{}^\circ \]
  done clear
  C)
   \[80{}^\circ \]                         
  done clear
  D)
   \[120{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  Match each of the entries in column I with the appropriate entries in column II.

  Column I		Column II
  A.	\[\frac{2y}{3}-5=3\]	I	\[\frac{1}{2}\]
  B.	\[-\,4(2+y)=8\]	II	2
  C.	\[4+3(y+2)=16\]	III	8
  D.	\[7y+\frac{19}{2}=13\]	IV	12
  E.	\[4+5\,(y-1)=39\]	V	\[-\,4\]

  A)
   A - IV, B - V, C - II, D - III, E - I
  done clear
  B)
   A - IV, B - V, C - III, D - II, E - I
  done clear
  C)
   A - IV, B - V, C - II, D - I, E - III
  done clear
  D)
   A - II, B - V, C - I, D - II, E - III
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  Veer performs his project work on a number of students who like soft drinks of different flavors in a school. After collecting the data he wants to know the most flavored soft drink which is liked by most of the students. Which central tendency makes his wish true?
  A)
   Mean              
  done clear
  B)
   Row data
  done clear
  C)
   Median            
  done clear
  D)
   Mode
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  Which one of the following is the largest number?
  A)
   \[{{3}^{{{2}^{{{2}^{2}}}}}}\]                  
  done clear
  B)
   \[{{\left\{ {{\left( {{3}^{2}} \right)}^{2}} \right\}}^{2}}\]
  done clear
  C)
   \[{{3}^{2.2.2}}\]                               
  done clear
  D)
   3222
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  The first, second and third class fares between New Delhi and Chandigarh were in the ratio 10 : 8 : 3 and the number of the first, second and third class passengers between the two stations was in the ratio 3 : 4 : 10. If the total sales of tickets is Rs. 161000 per day, find the money obtained by the sales of second class tickets.
  A)
   Rs. 58000                    
  done clear
  B)
   Rs. 56000
  done clear
  C)
   Rs. 48700                    
  done clear
  D)
   Rs. 32200
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer23)
  The interior angle of a regular polygon exceeds its exterior angle by \[108{}^\circ \]. The number of sides of the polygon is
  A)
   14                               
  done clear
  B)
   12
  done clear
  C)
   10       
  done clear
  D)
   16
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  The variable x varies directly as y and varies inversely as z. When \[x=8,\] \[y=12,\] then\[z=3\]. What is x when \[z=6\]and\[y=24\]?
  A)
   2                                
  done clear
  B)
   4
  done clear
  C)
   8        
  done clear
  D)
   12
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  Two blends of a commodity costing Rs. 35 and Rs. 40 kg respectively are mixed in the ratio 2 : 3 by weight. If one - fifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate of Rs. 55 per kg, then the profit percent is
  A)
   20                               
  done clear
  B)
   30
  done clear
  C)
   40       
  done clear
  D)
   50
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer26)
  A and B can do a given piece of work in 8 days, B and C can do the same work in 12 days and A, B, C can complete it in 6 days. The number of days required to finish the work by A and C is
  A)
   16                               
  done clear
  B)
   12
  done clear
  C)
   8        
  done clear
  D)
   24
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  If \[\frac{37}{13}=2+\frac{1}{a+\frac{1}{b+\frac{1}{c}}}\]where a, b, c are natural numbers, then the value of a, b and c respectively are-
  A)
   1, 5, 3             
  done clear
  B)
   1, 3, 5
  done clear
  C)
   1, 5, 2 
  done clear
  D)
   1, 2, 5
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  Height of a certain flag pole is 60 feet. Grease is applied to the pole. A monkey attempts to climb the pole. It climbs 5 feet every second but slips down 2ft the next second. When will the monkey reach the top of the flag pole?
  A)
   48 seconds                   
  done clear
  B)
   39 seconds
  done clear
  C)
   30 seconds                   
  done clear
  D)
   29 seconds
  done clear
  E)
   20 seconds
  done clear
  View Answer play_arrow

• question_answer29)

  Directions: In an Institution there are 800 students. Students use different modes of transport for going to and returning from the institution. The given pie diagram represents the requisite data. Study the diagram carefully and answer the questions that follow.

  The number of students travelling in public bus is
  A)
   150                             
  done clear
  B)
   130
  done clear
  C)
   120                 
  done clear
  D)
   125
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)

  Directions: In an Institution there are 800 students. Students use different modes of transport for going to and returning from the institution. The given pie diagram represents the requisite data. Study the diagram carefully and answer the questions that follow.

  The number of students who do not use the institute's bus is
  A)
   330                             
  done clear
  B)
   350
  done clear
  C)
   480                             
  done clear
  D)
   320
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  Anita and Geeta are experts in dance and music. Seeta and Geeta are experts in music and painting. Anita and Neeta are experts in debate and dance. Neeta and Seeta are experts in painting and debate. Who is/are not expert in painting?
  A)
   Anita only        
  done clear
  B)
   Seeta only
  done clear
  C)
   Anita and Geeta           
  done clear
  D)
   Neeta only
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)
  Replace the question mark with the correct number.

  15	225	30
  7	70	20
  3	?	8

  A)
   12       
  done clear
  B)
   16
  done clear
  C)
   24                               
  done clear
  D)
   70
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer33)
  If 'MANGO' is coded as 50 and 'ORANGE' is coded as 60, then what is the code for PINEAPPLE'?
  A)
   84                               
  done clear
  B)
   85
  done clear
  C)
   90                               
  done clear
  D)
   94
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer34)
  Find the missing term in the following sequence. ACH, FAI, JYK, MWN, ______.
  A)
   PVS                            
  done clear
  B)
   OUR
  done clear
  C)
   PTQ                            
  done clear
  D)
   OTS
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  Six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. How many male members are there in the family?
  A)
   1                                
  done clear
  B)
   2
  done clear
  C)
   3                    
  done clear
  D)
   4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  Select the set of letters missing in the following series. bdabcdbdabcd_dabcdb_abcdbd_
  A)
   bcd                             
  done clear
  B)
   bda
  done clear
  C)
   dbc                             
  done clear
  D)
   cda
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  Select one alternative which exactly matches with the water image of the word given below. QUARREL
  A)
                   
  done clear
  B)
   
  done clear
  C)
                  
  done clear
  D)
   
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  Which will be the number at the bottom, if 5 is at the top?
  A)
   1                                
  done clear
  B)
   2
  done clear
  C)
   3                                
  done clear
  D)
   6
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  Choose the item which is not similar to the other items.
  A)
   8, 24   
  done clear
  B)
   7, 22
  done clear
  C)
   5, 16                           
  done clear
  D)
   14, 43
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  Find the wrong number in the given series. 142, 119, 100, 83, 65, 59, 52
  A)
   119                             
  done clear
  B)
   100
  done clear
  C)
   83                               
  done clear
  D)
   65
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer41)
  Mr. Prakash and Mr. Prem each bought the same motorcycle using a 10% off coupon. Mr. Prakash's cashier took 10% off the price and then added 8.5% sales tax whereas Mr. Prem's cashier first added the sales tax and then took 10% off the total price. The amount Mr. Prakash paid is
  A)
   same as the amount Mr. Prem paid.
  done clear
  B)
   greater by Rs. 850 from the amount Mr. Prem paid.
  done clear
  C)
   lesser by Rs. 550 from the amount Mr. Prem paid.
  done clear
  D)
   greater by Rs. 85 from the amount Mr. Prem paid.
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer42)
  Three glasses of equal volume contains acid mixed with water. The ratios of acid and water in the three glasses are 2 : 3, 3 : 4 and 4 : 5 respectively. The contents of these glasses are poured in a larger vessel. The ratio of acid and water in the large vessel is
  A)
   407 : 560                     
  done clear
  B)
   411 : 564
  done clear
  C)
   417 : 564                     
  done clear
  D)
   401 : 544
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer43)
  If \[x+y=6\]and \[{{x}^{3}}+{{y}^{3}}=72,\] then the value of \[xy\] is
  A)
   12                               
  done clear
  B)
   8
  done clear
  C)
   6                                
  done clear
  D)
   9
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer44)
  The area of the parallelogram whose length is 30 cm, width is 20 cm and one diagonal is 40 cm, is
  A)
   \[100\,\sqrt{15}\text{ }c{{m}^{2}}\]   
  done clear
  B)
   \[150\,\sqrt{15}\text{ }c{{m}^{2}}\]
  done clear
  C)
   \[200\,\sqrt{15}\text{ }c{{m}^{2}}\]   
  done clear
  D)
   \[300\,\sqrt{15}\text{ }c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer45)
  In a true - false test containing 100 questions, a student is to be awarded 2 marks for every correct answer and \[-\,0.5\] are deducted for every incorrect answer and 0 is given for not supplying any answer. If Prem secured 88 marks in a test, then what are the possibilities of his marking.

  (i) Correct answers 44, un-attempted 56

  (ii) Correct answers 50, wrong answers 36 and un-attempated 14

  (iii) Correct answers 48, wrong answers 16 and un-attempated 36

  (iv) Correct answers 46, wrong answers 8 and un-attempated 46

  Select the correct answer using the code given below:

  A)
   I and III only.
  done clear
  B)
   I, II and IV only.
  done clear
  C)
   I, III and IV only.
  done clear
  D)
   All of these
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer46)
  A shopkeeper sells notebooks at the rate of Rs. 45 each and earns a commission of 4%. He also sells pencil box at the rate of Rs. 80 each and earns a commission of 20%. How much commission will he earn in 2 weeks, if he sells 10 notebooks and 6 pencil boxes a day?
  A)
   Rs. 1956                      
  done clear
  B)
   Rs. 1586
  done clear
  C)
   Rs. 1496                      
  done clear
  D)
   Rs. 1596
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer47)
  A boat goes downstream in a river and covers a distance between two coastal towns A and B in five hours and covers the same distance along upstream in six hours. If the speed of the flow of the river is 2 km/h, then the speed of the boat is:
  A)
   20 km/h                       
  done clear
  B)
   22 km/h
  done clear
  C)
   24 km/h                       
  done clear
  D)
   21 km/h
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer48)
  A sum of Rs. 1440 is lent out at a simple interest in three parts in such a way that the interest on first part at 2% for 3 years, second part at 3% for 4 years and the third part at 4% for 5 years are equal. Find the difference between the largest and the smallest sum.
  A)
   Rs. 200            
  done clear
  B)
   Rs. 400
  done clear
  C)
   Rs. 460            
  done clear
  D)
   Rs. 560
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer49)
  Find the value of the expression: \[\frac{{{\left( 579+137 \right)}^{2}}-{{\left( 579-137 \right)}^{2}}}{579\times 137}\]
  A)
   916                             
  done clear
  B)
   442
  done clear
  C)
   352                             
  done clear
  D)
   \[\frac{(2316+548)}{716}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer50)
  The distance between two stations A and B is 340 miles. Two trains started from these station towards each other. The speed of train started from A is 5 miles/h more than the speed of the train started from B. If the distance between the trains after 2 hours is 30 miles, then the speed of the train which started from A is:
  A)
   90 miles/h                    
  done clear
  B)
   340 miles/h
  done clear
  C)
   30 miles/h                    
  done clear
  D)
   80 miles/h
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow