7th Class Mathematics Related to Competitive Exam Question Bank

done Mathematical Operations Total Questions - 48

• question_answer1)
  In the following questions which one of the four interchanges in signs and numbers would make the given equation correct? \[(3\div 4)+2=2\]
  A)
   \[+\]and\[\div ,\]2 and 3 done clear
  B)
   \[+\]and\[\div ,\] 2 and 4 done clear
  C)
   \[+\]and\[\div ,\] 3 and 4 done clear
  D)
  No interchanges, 3 and 4 done clear
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• question_answer2)
  If A stands for\[+,\]B stands for\[-,\]C stands for\[x,\] then what is the value of\[\left( 10C4 \right)A\left( 4\,C4 \right)B\,6?\]
  A)
  60                                done clear
  B)
  56 done clear
  C)
  50                     done clear
  D)
  20 done clear
  View Solution play_arrow

• question_answer3)
  If\[+\]means \[\div ,-\] means \[\times ,\div \] means \[+\] and \[\times \] means\[-,\]then\[36\times 8+4\div 6+2-3=?\]
  A)
   \[2\]                             done clear
  B)
   \[18\] done clear
  C)
   \[43\]               done clear
  D)
   \[6\frac{1}{2}\] done clear
  View Solution play_arrow

• question_answer4)
  It is given that \[:>\] denotes \[+,\,\,<\] denotes \[-,\,\,+\] denotes \[\div ,\,-\]denotes \[=,\,\,=\]denotes 'less than' and \[\times \] denotes 'greater than', find which of the following is a correct statement:
  A)
   \[3+2>4=9+3<1\] done clear
  B)
   \[3>2>4=18+3<2\] done clear
  C)
   \[3>2<4\times 8+4<2\] done clear
  D)
   \[3+2<4\times 9+3<3\] done clear
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• question_answer5)
  If L denotes\[\times ,\]M denotes\[\div ,\]P denotes \[+\] and Q denotes than\[-,\]8 P 3 6 M 6 Q 6 M 2 L 3 = ?
  A)
   \[\frac{13}{6}\]                                  done clear
  B)
   \[-\frac{1}{6}\] done clear
  C)
  \[14\frac{1}{2}\] done clear
  D)
  \[5\] done clear
  View Solution play_arrow

• question_answer6)
  If\[\times \]stands for 'addition',\[<\]for 'subs traction',\[+\]stands for 'division', \[>\]for 'multiplication', \[-,\]stands for 'equal to',\[\div \]for 'greater than' and = stands for 'less than', state which of the following is true?
  A)
  \[3\times 2<4\div 16>2+4\] done clear
  B)
   \[5>2+2=10<4\times 2\] done clear
  C)
   \[3\times 4>2-9+3<3\] done clear
  D)
  \[5\times 3<7\div 8+4\times 1\] done clear
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• question_answer7)
  DIRECTIONS: In each of the following question, different alphabets stand for various symbols as indicated below: Addition: O                  Subtraction: M Multiplication: A          Division: Q Equal to: X                   Greater than: Y Less than: Z Out of the four alternatives given in these question, only one is correct.
  A)
  1 O 1 Q 1 M 1 Y 3 Q 1 done clear
  B)
  2 Q 1 O 20 A 1 Z 6 A 4 done clear
  C)
  3 O 2 O 10 Q 2 X 10 A 2 done clear
  D)
  5 Q 5 A 5 O 5 Y 6 A 2 done clear
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• question_answer8)
  DIRECTIONS: In each of the following question, different alphabets stand for various symbols as indicated below: Addition: O                  Subtraction: M Multiplication: A          Division: Q Equal to: X                   Greater than: Y Less than: Z Out of the four alternatives given in these question, only one is correct.
  A)
  32 X 8 Q 2 A 3 Q 1 A 2 done clear
  B)
  10 X 2 A 3 A 2 M 2 Q 1 done clear
  C)
  2 Y 1 A 1 Q 1 O 1 A 1 done clear
  D)
  16 Y 8 A 3 O 1 A 2 M 2 done clear
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• question_answer9)
  If \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{C}\,\text{+}\,\text{E,}\]\[\text{C}\,\text{+}\,\text{D}\,\text{=}\,\text{2B}\]and \[\text{B}\,\text{+}\,\text{E}\,\text{}\,\text{C}\,\text{+}\,\text{D,}\]it necessarily follows that
  A)
   \[\text{A}\,\text{+}\,\text{B }\,\text{2}\,\text{D}\]                done clear
  B)
   \[\text{B}\,\text{+}\,\text{D}\,\text{}\,\text{C}\,\text{+}\,\text{E}\] done clear
  C)
   \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{B}\,\text{+}\,\text{E}\]             done clear
  D)
   \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{B}\,\text{+}\,\text{C}\] done clear
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• question_answer10)
  If\[\text{+}\]means \[\times ,\,\,\times \] means \[-,\,\,\div \] means \[+\] and \[-\] means \[\div ,\] then which of the following gives the result of\[175-25+5+20\times 3+10?\]
  A)
  77                                done clear
  B)
  160 done clear
  C)
  240                              done clear
  D)
  2370 done clear
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• question_answer11)
  If\[20-10\]means 200, \[8\div 4\] means \[12,\,6\times 2\] means 4 and \[100+20\] means 5, then \[100-10\times 1000\div 1000+100\times 10=?\]
  A)
  0         done clear
  B)
  20 done clear
  C)
  1000                            done clear
  D)
  1900 done clear
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• question_answer12)
  If\[+'\]means' divided by', means' added to', 'x' means' subtracted from' and \[\div \] means' multiplied by', then what is the value of \[24\div 12-18+9?\]
  A)
   \[-25\]                         done clear
  B)
   \[0.72\] done clear
  C)
   \[15.30\]                      done clear
  D)
   \[290\] done clear
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• question_answer13)
  If \[\times \] means \[\div ,-\] means \[\times ,\div \] means \[+\] and \[+\]means\[-\]then\[\left( 3-15\div 19 \right)\times 8+6=?\]
  A)
   \[-1\]                           done clear
  B)
   \[2\] done clear
  C)
   \[4\]                             done clear
  D)
   \[8\] done clear
  View Solution play_arrow

• question_answer14)
  If \[\div \] means\[~+,\,\,-\] means \[\div ,\,\,\times \] means \[-\] and \[+\] means \[\times ,\] then\[\frac{(36\times 4)-8\times 4}{4+8+2+16\div 1}=\]?
  A)
  0           done clear
  B)
  8 done clear
  C)
  12                                done clear
  D)
  16 done clear
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• question_answer15)
  IF P means 'division', T means 'addition', M means' subtraction and D means multiplication', then what will be the value of the expression 12 M 12 D 28 P 7 T 15?
  A)
   \[-30\]                         done clear
  B)
   \[-15\] done clear
  C)
   \[15\]                                       done clear
  D)
   \[-21\] done clear
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• question_answer16)
  If \[\to \] stands for 'addition'; \[\leftarrow \] stands for' subtraction'; \[\uparrow \] stands for' division'; \[\downarrow \] stands for ' multiplication'; \[\nearrow \]stands for equal to', then which of the following alternatives is correct?
  A)
   \[7\leftarrow 43\uparrow 6\downarrow 1\nearrow 4\] done clear
  B)
   \[3\downarrow 6\uparrow 2\to 3\leftarrow 6\nearrow 5\] done clear
  C)
   \[5\to 7\leftarrow 3\uparrow 2\nearrow 5\] done clear
  D)
   \[2\downarrow 5\leftarrow 6\to 2\nearrow 6\] done clear
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• question_answer17)
  Of\['\,\times '\]Stands for' addition' \['<'\] for subtraction' \['\,+'\] for division' \[>\] for multiplication' \['\,-'\] for equal to' \['\,+'\] for' greater than' and \['='\] for' less than' state which of the following is true?
  A)
   \[3\times 4>2-9+3<3\] done clear
  B)
   \[5\times 3<7\div 8+4\times 1\] done clear
  C)
   \[5>2+2=10<4\times 8\] done clear
  D)
   \[3\times 2<4\div 16>2+4\] done clear
  View Solution play_arrow

• question_answer18)
  If the given interchanges namely: signs \[+\] and \[\div \] and numbers 2 and 4 are made in signs and numbers, which one of the following four equations would be correct?
  A)
   \[2+4\div 3=3\]        done clear
  B)
   \[4+2\div 6=1.5\] done clear
  C)
   \[4\div 2+3=4\]        done clear
  D)
   \[2+4\div 6=8.\] done clear
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• question_answer19)
  It being given that x denotes ' greater than', \[\phi \] denote ' equal to', < denotes ' not less than', \[\bot \] denotes 'not equal to, \[\Delta \]denotes' less than' and + denotes' not greater than', choose the correct statement from the following If \[a\times b\,\Delta \,c,\] it follows that
  A)
   \[a\,\phi \,\Delta \,b\]               done clear
  B)
   \[b<a\times c\] done clear
  C)
   \[a<b+c\]                  done clear
  D)
   \[b<a\,\phi \,c\] done clear
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• question_answer20)
  If A + B = C + D and A + D > B + C, then which one of the following is definitely wrong >
  A)
  A > B                          done clear
  B)
  A < C done clear
  C)
  C > D                         done clear
  D)
  B > D done clear
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• question_answer21)
  If 3 + 5 = 16; 7 + 9 = 64; 10 + 12 = 121, then 11 + 3 =?
  A)
  56                                done clear
  B)
  48 done clear
  C)
  49                    done clear
  D)
  196 done clear
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• question_answer22)
  If\[36\times 92=9623;\]\[25\times 82=8522;\]\[68\times 75=7856,\] then\[47\times 52=\]?
  A)
  5742                            done clear
  B)
  5274 done clear
  C)
  7427                            done clear
  D)
  5724 done clear
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• question_answer23)
  Which one of the four interchanges in signs and numbers would make the given equation correct? 3 + 5 ? 2 = 0
  A)
   \[+\]and\[-,\]2 and 3   done clear
  B)
   \[+\]and\[-,\]2 and 5 done clear
  C)
   \[+\]and\[-,\]3 and 5   done clear
  D)
  None of these done clear
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• question_answer24)
  If A + B = 2C and C + D = 2A, then
  A)
  A + C = B + D          done clear
  B)
  A + C = 2D done clear
  C)
  A + D = B + C          done clear
  D)
  A + C = 2B done clear
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• question_answer25)
  DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If 3 + 9 = 31; 15 + 12 = 45; 18 + 9 = 36, then 12 + 27 =?
  A)
  94                    done clear
  B)
  14 done clear
  C)
  49                                done clear
  D)
  53 done clear
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• question_answer26)
  DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If 213 = 419; 322 = 924; 415 = 16125, then 215 = ?
  A)
  425                              done clear
  B)
  1625 done clear
  C)
  4125            done clear
  D)
  2541 done clear
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• question_answer27)
  DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If 43 = 158; 35 = 824; 42 = 153; then 32 =?
  A)
  84                                done clear
  B)
  83 done clear
  C)
  85                                done clear
  D)
  94 done clear
  View Solution play_arrow

• question_answer28)
  DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If 7*3 = 52; 9*5 = 86; 3*4 = 13, then 5*7 =?
  A)
  30                                done clear
  B)
  32 done clear
  C)
  40                                done clear
  D)
  57 done clear
  E)
  42 done clear
  View Solution play_arrow

• question_answer29)
  DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If 24 + 35 = 28; 15 + 42 = 24; 84 + 57 = 48, then 69 + 37 =?
  A)
  62                                done clear
  B)
  56 done clear
  C)
  38                                done clear
  D)
  50 done clear
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• question_answer30)
  DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If\[4\times 8=42;\]\[6\times 4=23;\]\[8\times 6=34,\]then\[2\times 4=\]?
  A)
  25                                done clear
  B)
  21 done clear
  C)
  26                                done clear
  D)
  42 done clear
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• question_answer31)
  DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If\[3+8=17;\]\[5-2=23;\]\[6\times 2=72,\]then\[8\div 4=\]?
  A)
  12                                done clear
  B)
  18 done clear
  C)
  25                                done clear
  D)
  16 done clear
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• question_answer32)
  DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If\[3\times 4=14;\]\[5\times 6=33;\]\[7\times 8=60,\]then\[8\times 9=\]?
  A)
  77                    done clear
  B)
  89 done clear
  C)
  98                                done clear
  D)
  79 done clear
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• question_answer33)
  DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If 3 + 2 = 7, 4 + 3 = 10, 5 + 4 = 13, then 6 + 5 =?
  A)
  17                                done clear
  B)
  18 done clear
  C)
  15                                done clear
  D)
  16 done clear
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• question_answer34)
  DIRECTIONS: Below are given some symbols indicating some relations given against them Read these symbols carefully and then answer the questions given below. There are four options to each question, of which only one is correct. Find the correct answer. \[\Delta =\]greater than;          \[+=\]not greater than \[\theta =\] equal to;               \[\phi =\]not equal to \[\times =\] less than,              \[\square \,=\]not less than \[a\times b\,\theta \,c\]implies that
  A)
   \[a\,\square \,c\,\theta \,b\]                   done clear
  B)
   \[b\times a\,\square \,c\] done clear
  C)
   \[c\,\square \,b+a\]                 done clear
  D)
   \[a\,\phi \,b\,\square \,c\] done clear
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• question_answer35)
  DIRECTIONS: Below are given some symbols indicating some relations given against them Read these symbols carefully and then answer the questions given below. There are four options to each question, of which only one is correct. Find the correct answer. \[\Delta =\]greater than;          \[+=\]not greater than \[\theta =\] equal to;                \[\phi =\]not equal to \[\times =\] less than,              \[\square \,=\]not less than \[a\,\square \,b\,\Delta \,c\]implies that
  A)
   \[a+\,\,\square \,\,b\,\Delta \,c\]           done clear
  B)
   \[a\times b-c\] done clear
  C)
   \[a\,\Delta \,b\times c\]            done clear
  D)
   \[a+b\times c\] done clear
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• question_answer36)
  DIRECTIONS: Below are given some symbols indicating some relations given against them Read these symbols carefully and then answer the questions given below. There are four options to each question, of which only one is correct. Find the correct answer. \[\Delta =\]greater than;          \[+=\]not greater than \[\theta =\] equal to;               \[\phi =\]not equal to \[\times =\] less than,              \[\square \,=\]not less than \[a\,\Delta \,b\,\Delta \,c\]does not imply
  A)
   \[b+a\,\Delta \,c\]                   done clear
  B)
   \[b\,\Delta \,a\,\theta \,c\] done clear
  C)
   \[c+b\,\phi \,a\]                       done clear
  D)
   \[c+b\times a\] done clear
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• question_answer37)
  DIRECTIONS: Below are given some symbols indicating some relations given against them Read these symbols carefully and then answer the questions given below. There are four options to each question, of which only one is correct. Find the correct answer. \[\Delta =\]greater than;          \[+=\]not greater than \[\theta =\] equal to;               \[\phi =\]not equal to \[\times =\] less than,              \[\square \,=\]not less than \[a\times b\,\theta \,c\]does not mean
  A)
   \[a\,\Delta \,b\,\phi \,c\]                        done clear
  B)
   \[a+b\,\theta \,c\] done clear
  C)
   \[a\,\phi \,b\,\theta \,c\]                        done clear
  D)
   \[b\,\theta \,c\,\square \,a\] done clear
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• question_answer38)
  DIRECTIONS: Below are given some symbols indicating some relations given against them Read these symbols carefully and then answer the questions given below. There are four options to each question, of which only one is correct. Find the correct answer. \[\Delta =\]greater than;          \[+=\]not greater than \[\theta =\] equal to;               \[\phi =\]not equal to \[\times =\] less than,              \[\square \,=\]not less than \[c+b\times a\]means
  A)
   \[a\times b\,\theta \,c\]             done clear
  B)
   \[c\,\Delta \,b\,\Delta \,a\] done clear
  C)
   \[c\times b\times a\]                done clear
  D)
   \[b\,\theta \,c\,\square \,a\] done clear
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• question_answer39)
  DIRECTIONS: In the question given below, use the following notations: A?B means ?add B to A?. A?B means ?subtract B from A?. A @ B means ?divide A by B?. A * B means 'multiply A by B?. Now, answer the following question. The time taken by two running trains in crossing each other is calculated by dividing the sum of the lengths of two trains by the total speed of the two trains. If the length of the first train is \[{{L}_{1}},\] the length of the second train is \[{{L}_{2}},\] the speed of the first train is \[{{V}_{1}}\] and the speed of the second trains is \[{{V}_{2}},\] which of the following expressions would represent the time taken?
  A)
   \[({{L}_{1}}''{{L}_{2}})*({{V}_{1}}''{{V}_{2}})\] done clear
  B)
   \[({{L}_{1}}''{{L}_{2}})\,({{V}_{1}}''{{V}_{2}})\] done clear
  C)
   \[[({{L}_{1}}''{{L}_{2}})\,({{V}_{1}}''{{V}_{2}})]*60\] done clear
  D)
   \[({{L}_{1}}'{{L}_{2}})\,({{V}_{1}}'{{V}_{2}})\] done clear
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• question_answer40)
  DIRECTIONS: In the following question, the symbols, ©, ©, =, * and * are used with the following meanings 'A © B' means 'A is greater than B'; 'A © B' means 'A is greater than or equal to B'; 'A = B' means 'A is equal to B'; 'A * B' means 'A is smaller than B', 'A * B' means 'A is either smaller than or equal to B'; Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Statements: S © T, M * K, T = K Conclusions:             I. T © M II. T = M
  A)
  if only if conclusion I is true; done clear
  B)
  if only conclusion II is true; done clear
  C)
  if either I or II is true; done clear
  D)
  if neither I nor II is true. done clear
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• question_answer41)
  DIRECTIONS: In the following question, the symbols, ©, ©, =, * and * are used with the following meanings 'A © B' means 'A is greater than B'; 'A © B' means 'A is greater than or equal to B'; 'A = B' means 'A is equal to B'; 'A * B' means 'A is smaller than B', 'A * B' means 'A is either smaller than or equal to B'; Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Statements: S * M, M © L, L © P Conclusions:             I. S = P II. S * L
  A)
  if only if conclusion I is true; done clear
  B)
  if only conclusion II is true; done clear
  C)
  if either I or II is true; done clear
  D)
  if neither I nor II is true. done clear
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• question_answer42)
  DIRECTIONS: In the following question, the symbols, ©, ©, =, * and * are used with the following meanings 'A © B' means 'A is greater than B'; 'A © B' means 'A is greater than or equal to B'; 'A = B' means 'A is equal to B'; 'A * B' means 'A is smaller than B', 'A * B' means 'A is either smaller than or equal to B'; Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Statements: U = V, V * N, R * U Conclusions:             I. R * N II. U © N
  A)
  if only if conclusion I is true; done clear
  B)
  if only conclusion II is true; done clear
  C)
  if either I or II is true; done clear
  D)
  if neither I nor II is true. done clear
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• question_answer43)
  DIRECTIONS: In the following question, the symbols, ©, ©, =, * and * are used with the following meanings 'A © B' means 'A is greater than B'; 'A © B' means 'A is greater than or equal to B'; 'A = B' means 'A is equal to B'; 'A * B' means 'A is smaller than B', 'A * B' means 'A is either smaller than or equal to B'; Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Statements: E © U, C * E, C © B Conclusions:             I. U = C II. E © b
  A)
  if only if conclusion I is true; done clear
  B)
  if only conclusion II is true; done clear
  C)
  if either I or II is true; done clear
  D)
  if neither I nor II is true. done clear
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• question_answer44)
  DIRECTIONS: In the Mowing questions, the symbols @ \[\mathbb{C}\] \[\$\] % and # are used with the following meanings as illustrated below: 'A \[\$\] B* means 'A is not smaller than B' 'A # B' means 'A' is not smaller than B' 'A@ B' means 'A is neither smaller than nor equal to B' 'A\[\mathbb{C}\]B' means 'A is equal to B' 'A % B' means 'A' is neither greater than nor equal to B' Now in each of the following questions, assuming the given statement to be true, find which of the three conclusions. I, II and III given below then is/are definitely true and give your answer accordingly. Clearly, we have \[A\,\$\,B\Rightarrow A B\Rightarrow A\le B.\] \[AB\Rightarrow A<B\,\text{and}\,A\#B\Rightarrow A>B,\] \[A\,\mathbb{C}\,B\Rightarrow A>B\,\text{and }A\#B\Rightarrow A<B.\] Statements: H % J, J \[\mathbb{C}\]N, N @ R Conclusions:             I. R % J II. H @ J II. N @ H
  A)
  Only I is true done clear
  B)
  Only II is true done clear
  C)
  Only II and III are true done clear
  D)
  Only I and III are true done clear
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• question_answer45)
  DIRECTIONS: In the Mowing questions, the symbols @ \[\mathbb{C}\] \[\$\] % and # are used with the following meanings as illustrated below: 'A \[\$\] B* means 'A is not smaller than B' 'A # B' means 'A' is not smaller than B' 'A@ B' means 'A is neither smaller than nor equal to B' 'A\[\mathbb{C}\]B' means 'A is equal to B' 'A % B' means 'A' is neither greater than nor equal to B' Now in each of the following questions, assuming the given statement to be true, find which of the three conclusions. I, II and III given below then is/are definitely true and give your answer accordingly. Clearly, we have \[A\,\$\,B\Rightarrow AB\Rightarrow A\le  B.\] \[AB\Rightarrow A<B\,\text{and}\,A\#B\Rightarrow A>B,\] \[A\,\mathbb{C}\,B\Rightarrow A>B\,\text{and }A\#B\Rightarrow A<B.\] Statements: M @ J, J \[\$\] T, T \[\mathbb{C}\] N Conclusion: I. N # J II. T % M III. M @ N
  A)
  Only I and III are true done clear
  B)
  Only II is true done clear
  C)
  Only II and III are true done clear
  D)
  I, II and III all are true done clear
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• question_answer46)
  If A + D = B + C, A + E = C + D, 2C < A + E and 2A > B + D, then
  A)
  A > B > C > D > E done clear
  B)
  B > A > D > C > E done clear
  C)
  D > B > C > A > E done clear
  D)
  B > C > D > E > A done clear
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• question_answer47)
  If P denotes\[+,\]Q denotes \[-,\]R denotes\[\times \]and S denotes\[\div ,\]which of the following statements is correct?
  A)
  36 R 4 S 8 Q 7 P 4 = 10 done clear
  B)
  16 R 12 P 49 S 7 Q 9 = 200 done clear
  C)
  32 S 8 R 9 = 160 Q 12 R 12 done clear
  D)
  8 R 8 P 8 S 8 Q 8 = 57 done clear
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• question_answer48)
  The letters L, M, N, O, P, R, S and T in their order are substituted by nine integers 1 to 9 but not in that order. 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. What is the integer assigned to N?
  A)
  4                                  done clear
  B)
  5 done clear
  C)
  6               done clear
  D)
  7 done clear
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