
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
B) \[+\]and\[\div ,\] 2 and 4
C) \[+\]and\[\div ,\] 3 and 4
D) No interchanges, 3 and 4
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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
B) 56
C) 50
D) 20
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question_answer3) If\[+\]means \[\div ,\] means \[\times ,\div \] means \[+\] and \[\times \] means\[,\]then\[36\times 8+4\div 6+23=?\]
A) \[2\]
B) \[18\]
C) \[43\]
D) \[6\frac{1}{2}\]
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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) \[3+2>4=9+3<1\]
B) \[3>2>4=18+3<2\]
C) \[3>2<4\times 8+4<2\]
D) \[3+2<4\times 9+3<3\]
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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) \[\frac{13}{6}\]
B) \[\frac{1}{6}\]
C) \[14\frac{1}{2}\]
D) \[5\]
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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) \[3\times 2<4\div 16>2+4\]
B) \[5>2+2=10<4\times 2\]
C) \[3\times 4>29+3<3\]
D) \[5\times 3<7\div 8+4\times 1\]
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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
B) 2 Q 1 O 20 A 1 Z 6 A 4
C) 3 O 2 O 10 Q 2 X 10 A 2
D) 5 Q 5 A 5 O 5 Y 6 A 2
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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
B) 10 X 2 A 3 A 2 M 2 Q 1
C) 2 Y 1 A 1 Q 1 O 1 A 1
D) 16 Y 8 A 3 O 1 A 2 M 2
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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) \[\text{A}\,\text{+}\,\text{B }\,\text{2}\,\text{D}\]
B) \[\text{B}\,\text{+}\,\text{D}\,\text{}\,\text{C}\,\text{+}\,\text{E}\]
C) \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{B}\,\text{+}\,\text{E}\]
D) \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{B}\,\text{+}\,\text{C}\]
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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\[17525+5+20\times 3+10?\]
A) 77
B) 160
C) 240
D) 2370
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question_answer11) If\[2010\]means 200, \[8\div 4\] means \[12,\,6\times 2\] means 4 and \[100+20\] means 5, then \[10010\times 1000\div 1000+100\times 10=?\]
A) 0
B) 20
C) 1000
D) 1900
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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 \[24\div 1218+9?\]
A) \[25\]
B) \[0.72\]
C) \[15.30\]
D) \[290\]
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question_answer13) If \[\times \] means \[\div ,\] means \[\times ,\div \] means \[+\] and \[+\]means\[\]then\[\left( 315\div 19 \right)\times 8+6=?\]
A) \[1\]
B) \[2\]
C) \[4\]
D) \[8\]
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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
B) 8
C) 12
D) 16
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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) \[30\]
B) \[15\]
C) \[15\]
D) \[21\]
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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) \[7\leftarrow 43\uparrow 6\downarrow 1\nearrow 4\]
B) \[3\downarrow 6\uparrow 2\to 3\leftarrow 6\nearrow 5\]
C) \[5\to 7\leftarrow 3\uparrow 2\nearrow 5\]
D) \[2\downarrow 5\leftarrow 6\to 2\nearrow 6\]
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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) \[3\times 4>29+3<3\]
B) \[5\times 3<7\div 8+4\times 1\]
C) \[5>2+2=10<4\times 8\]
D) \[3\times 2<4\div 16>2+4\]
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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) \[2+4\div 3=3\]
B) \[4+2\div 6=1.5\]
C) \[4\div 2+3=4\]
D) \[2+4\div 6=8.\]
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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) \[a\,\phi \,\Delta \,b\]
B) \[b<a\times c\]
C) \[a<b+c\]
D) \[b<a\,\phi \,c\]
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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
B) A < C
C) C > D
D) B > D
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question_answer21) If 3 + 5 = 16; 7 + 9 = 64; 10 + 12 = 121, then 11 + 3 =?
A) 56
B) 48
C) 49
D) 196
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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
B) 5274
C) 7427
D) 5724
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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
B) \[+\]and\[,\]2 and 5
C) \[+\]and\[,\]3 and 5
D) None of these
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question_answer24) If A + B = 2C and C + D = 2A, then
A) A + C = B + D
B) A + C = 2D
C) A + D = B + C
D) A + C = 2B
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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
B) 14
C) 49
D) 53
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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
B) 1625
C) 4125
D) 2541
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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
B) 83
C) 85
D) 94
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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
B) 32
C) 40
D) 57
E) 42
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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
B) 56
C) 38
D) 50
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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
B) 21
C) 26
D) 42
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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\[3+8=17;\]\[52=23;\]\[6\times 2=72,\]then\[8\div 4=\]?
A) 12
B) 18
C) 25
D) 16
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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
B) 89
C) 98
D) 79
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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
B) 18
C) 15
D) 16
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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) \[a\,\square \,c\,\theta \,b\]
B) \[b\times a\,\square \,c\]
C) \[c\,\square \,b+a\]
D) \[a\,\phi \,b\,\square \,c\]
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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) \[a+\,\,\square \,\,b\,\Delta \,c\]
B) \[a\times bc\]
C) \[a\,\Delta \,b\times c\]
D) \[a+b\times c\]
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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) \[b+a\,\Delta \,c\]
B) \[b\,\Delta \,a\,\theta \,c\]
C) \[c+b\,\phi \,a\]
D) \[c+b\times a\]
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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) \[a\,\Delta \,b\,\phi \,c\]
B) \[a+b\,\theta \,c\]
C) \[a\,\phi \,b\,\theta \,c\]
D) \[b\,\theta \,c\,\square \,a\]
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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) \[a\times b\,\theta \,c\]
B) \[c\,\Delta \,b\,\Delta \,a\]
C) \[c\times b\times a\]
D) \[b\,\theta \,c\,\square \,a\]
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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) \[({{L}_{1}}''{{L}_{2}})*({{V}_{1}}''{{V}_{2}})\]
B) \[({{L}_{1}}''{{L}_{2}})\,({{V}_{1}}''{{V}_{2}})\]
C) \[[({{L}_{1}}''{{L}_{2}})\,({{V}_{1}}''{{V}_{2}})]*60\]
D) \[({{L}_{1}}'{{L}_{2}})\,({{V}_{1}}'{{V}_{2}})\]
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question_answer40) DIRECTIONS: In the following question, the symbols, (C), (C), =, * and * are used with the following meanings 'A (C) B' means 'A is greater than B'; 'A (C) 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 (C) T, M * K, T = K Conclusions: I. T (C) M II. T = M
A) if only if conclusion I is true;
B) if only conclusion II is true;
C) if either I or II is true;
D) if neither I nor II is true.
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question_answer41) DIRECTIONS: In the following question, the symbols, (C), (C), =, * and * are used with the following meanings 'A (C) B' means 'A is greater than B'; 'A (C) 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 (C) L, L (C) P Conclusions: I. S = P II. S * L
A) if only if conclusion I is true;
B) if only conclusion II is true;
C) if either I or II is true;
D) if neither I nor II is true.
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question_answer42) DIRECTIONS: In the following question, the symbols, (C), (C), =, * and * are used with the following meanings 'A (C) B' means 'A is greater than B'; 'A (C) 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 (C) N
A) if only if conclusion I is true;
B) if only conclusion II is true;
C) if either I or II is true;
D) if neither I nor II is true.
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question_answer43) DIRECTIONS: In the following question, the symbols, (C), (C), =, * and * are used with the following meanings 'A (C) B' means 'A is greater than B'; 'A (C) 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 (C) U, C * E, C (C) B Conclusions: I. U = C II. E (C) b
A) if only if conclusion I is true;
B) if only conclusion II is true;
C) if either I or II is true;
D) if neither I nor II is true.
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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
B) Only II is true
C) Only II and III are true
D) Only I and III are true
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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
B) Only II is true
C) Only II and III are true
D) I, II and III all are true
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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
B) B > A > D > C > E
C) D > B > C > A > E
D) B > C > D > E > A
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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
B) 16 R 12 P 49 S 7 Q 9 = 200
C) 32 S 8 R 9 = 160 Q 12 R 12
D) 8 R 8 P 8 S 8 Q 8 = 57
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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
B) 5
C) 6
D) 7
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