Question 1 :
If × stands for’ addition’, < for ‘substraction’, + stands for ‘division’, > for ‘multiplication’, –, stands for ‘equal to’, ÷ for ‘greater than’ and = stands for ‘less than’, state which of the following is true ?

Question 2 :
If P denotes +, Q denotes –, R denotes × and S denotes ÷, which of the following statements is correct?

Question 3 :
In the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number?<br>If 43 = 158; 35 = 824; 42 = 153; then 32 = ?

Question 4 :
If + means × . × means –, ÷ means + and – means ÷, then which of the following gives the result of<br> 175 – 25 ÷ 5 ÷ 20 × 3 + 10 ?

Question 5 :
In the following questions, the symbols @ {tex} \mathrm{C} $ \% {/tex} and {tex} \# {/tex} are used with the following meanings as illustrated below :&nbsp;<br />'A {tex} \${/tex} B' means' A is not smaller than B'&nbsp;<br />'A # B' means 'A' is not smaller than B'<br />'A @ B' means 'A is neither smaller than nor equal to B'&nbsp;<br />'A{tex}C {/tex}B' means 'A is equal to B'&nbsp;<br />'A % B' means 'A' is neither greater than nor equal to B'<br />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 {tex} / {/tex} are definitely true and give your answer accordingly. Clearly, we have&nbsp;<br />A $ B {tex}\Rightarrow{/tex}&nbsp;A &lt; B {tex}\Rightarrow{/tex} A {tex}\geq{/tex}&nbsp;B<br />A # B {tex}\Rightarrow{/tex} A &gt; B {tex}\Rightarrow{/tex} A {tex}\leq{/tex}&nbsp;B.&nbsp;<br />A @ B {tex}\Rightarrow{/tex} A &lt; B and A # B {tex}\Rightarrow{/tex}&nbsp;A &gt; B,&nbsp;<br />A {tex}C {/tex} B {tex}\Rightarrow{/tex} A &gt; B and A # B {tex}\Rightarrow{/tex} A &lt; B<br /><strong><strong><strong><strong>Statements:</strong> M @ J, J $ T, T C N<br /><strong>Conclusion:</strong><br />I. N#J<br />II. T% M <br />III. M @ N</strong></strong></strong>

Question 6 :
If 3 + 5 = 16 ; 7 + 9 = 64 ; 10 + 12 = 121, then 11 + 3 = ?

Question 7 :
In the following question, the symbols, &copy;, {tex}\underline{&copy;}{/tex}, =, * {tex}\underline{*}{/tex}&nbsp;are used with the following meanings&nbsp;<br />{tex}'\mathrm A &copy; \mathrm{B}' {/tex} means 'A is greater than B';<br />'A {tex}\underline{&copy;}{/tex}B' means 'A is greater than or equal to B';<br />'A = B' means 'A is equal to B';<br />'A {tex} ^{*} {/tex} B' means 'A is smaller than B';<br />'A {tex} \mathrm{}_{-}^{*}{/tex} B' means 'A is either smaller than or equal to B'<br />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.<br />Give answer (1) if only if conclusion I is true; (2) if only conclusion II is true; (3) if either I or II is true; (4) if neither I nor II is true.<br /><strong>Statements :</strong>{tex} \mathrm{S}^{*} \mathrm{M}, \mathrm{M} &copy;\mathrm{L}, \mathrm{L} {\underline&copy;} \mathrm{P} {/tex}<br /><strong> Conclusions :</strong><br />I. {tex} \mathrm{S}=\mathrm{P} {/tex}<br />II. {tex} \mathrm{S}_{-}^{*} \mathrm{~L} {/tex}

Question 8 :
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.<br />{tex} \begin{array}{ll}\Delta=\text { greater than } ; +=\text { not greater than } \ \\\theta=\text { equal to ; } \phi=\text { not equal to } \\\ x=\text { less than, } \square=\text { not less than }\end{array} {/tex}<br />a {tex} \Delta {/tex} b {tex} \Delta {/tex} c does not imply

Question 9 :
If 'x' Stands for ' addition' 'z' for subtraction' '+' for division' > for multiplication' '–' for equal to' '+' for ' greater than' and '=' for ' less than' state which of the following is true. ?

Question 10 :
If A + D > C + E, C + D = 2B and B + E > C + D, it necessarily follows that

Question 11 :
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.<br />{tex} \begin{array}{ll}\Delta=\text { greater than } ; +=\text { not greater than } \ \\\theta=\text { equal to ; } \phi=\text { not equal to } \\\ x=\text { less than, } \square=\text { not less than }\end{array} {/tex}<br />{tex} \mathrm{c}+\mathrm{b} \times {/tex} a means

Question 12 :
If 3 + 2 = 7, 4 + 3 = 10, 5 + 4 = 13, then 6 + 5 = ?

Question 13 :
In the following question, the symbols, &copy;, {tex}\underline{&copy;}{/tex}, =, * {tex}\underline{*}{/tex}&nbsp;are used with the following meanings&nbsp;<br />{tex}'\mathrm A &copy; \mathrm{B}' {/tex} means 'A is greater than B';<br />'A {tex}\underline{&copy;}{/tex}B' means 'A is greater than or equal to B';<br />'A = B' means 'A is equal to B';<br />'A {tex} ^{*} {/tex} B' means 'A is smaller than B';<br />'A {tex} \mathrm{}_{-}^{*}{/tex} B' means 'A is either smaller than or equal to B'<br />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.<br />Give answer (1) if only if conclusion I is true; (2) if only conclusion II is true; (3) if either I or II is true; (4) if neither I nor II is true.<br /><strong>Statements</strong> {tex} : \mathrm{U}=\mathrm{V}, \mathrm{V}^{*} \mathrm{N}, \mathrm{R}_{-}^* \mathrm{U} {/tex}<br /><strong> Conclusions : </strong><br />I. {tex}\mathrm{R}^{*} \mathrm{N} {/tex} <br />II. U {tex} \underline{&copy;} {/tex} N

Question 14 :
Which of the following conclusions is correct according to the given expression and symbols ?<br><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fb4e7ea16d7e6154e4692a3.jpg" /><br> Expression (qEq) and (qEr)

Question 15 :
If × means ÷, – means × , ÷ means + and + means – then (3 – 15 ÷ 19) × 8 + 6 = ?

Question 16 :
In the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number?<br>If 213 = 419; 322 = 924; 415 = 16125, then 215 = ?

Question 17 :
Find the correct inference according to given premises and symbols :<br> A : Not greater than <br>B : Greater than <br>C : Equal to <br>E : Not less than <br>F : Less than<br> Premise : (pCm) and (pAm)

Question 18 :
If ' + ' means ' divided by', '–' means ' added to', 'x' means 'subtracted from' and ÷ means 'multiplied by', then what is the value of 24 ÷ 12 – 18 + 9 ?

Question 19 :
In the following question, the symbols, &copy;, {tex}\underline{&copy;}{/tex}, =, * {tex}\underline{*}{/tex}&nbsp;are used with the following meanings&nbsp;<br />{tex}'\mathrm A &copy; \mathrm{B}' {/tex} means 'A is greater than B';<br />'A {tex}\underline{&copy;}{/tex}B' means 'A is greater than or equal to B';<br />'A = B' means 'A is equal to B';<br />'A {tex} ^{*} {/tex} B' means 'A is smaller than B';<br />'A {tex} \mathrm{}_{-}^{*}{/tex} B' means 'A is either smaller than or equal to B'<br />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.<br />Give answer (1) if only if conclusion I is true; (2) if only conclusion II is true; (3) if either I or II is true; (4) if neither I nor II is true.<br /><strong>Statements:</strong> {tex}\mathrm E \underline{&copy;}\mathrm U, C * E, C &copy;&nbsp;B{/tex}<br /><strong>Conclusions:</strong><br />I. {tex} \mathrm{U}=\mathrm{C} {/tex}<br />II.{tex}\mathrm{ E &copy; B}{/tex}

Question 20 :
In the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the volume of the number?<br>If 5 × 9 = 144 ; 7 × 8 = 151 : 4 × 6 = 102 , then 2 × 5 = ?

Question 21 :
It being given that x denotes ' greater than', {tex}\phi{/tex} denote 'equal to', < denotes 'not less than', ^ denotes 'not equal to, D denotes 'less than' and + denotes ' not greater than', choose the correct statement from the following<br> If a x b {tex}\Delta{/tex} c, it follows that

Question 22 :
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.<br />{tex} \begin{array}{ll}\Delta=\text { greater than } ; +=\text { not greater than } \ \\\theta=\text { equal to ; } \phi=\text { not equal to } \\\ x=\text { less than, } \square=\text { not less than }\end{array} {/tex}<br />{tex} a \times b \theta {/tex} c does not mean

Question 23 :
In the following questions which one of the four interchanges in signs and numbers would make the given equation correct ? <br>(3 ÷ 4) + 2 = 2

Question 24 :
If ÷ means +, – means ÷, × means – and + means ×, then {tex}\frac{(36 \times 4)-8 \times 4}{4+8 \times 2 + 16 \div 1}=?{/tex}

Question 25 :
In the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number?<br>If 7*3 = 52; 9*5 = 86; 3*4 = 13, then 5*7 = ?

Question 26 :
In the following question, different alphabets stand for various symbols as indicated below: Addition : O<br> Subtraction : M <br>Multiplication : A <br>Division : Q <br>Equal to : X<br> Greater than : Y <br>Less than : Z <br>Out of the four alternatives given in these question, only one is correct.

Question 27 :
If 3 + 8 = 17; 5 – 2 = 23; 6 × 2 = 72, then 8 ÷ 4 = ?

Question 28 :
If the given interchanges namely : signs + and ÷ and numbers 2 and 4 are made in signs and numbers, which one of the following four equations would be correct ?

Question 29 :
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.<br />{tex} \begin{array}{ll}\Delta=\text { greater than } ; +=\text { not greater than } \ \\\theta=\text { equal to ; } \phi=\text { not equal to } \\\ x=\text { less than, } \square=\text { not less than }\end{array} {/tex}<br />a {tex} \square {/tex} b {tex} \Delta {/tex} c implies that

Question 30 :
In the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the volume of the number?<br> If 84 {tex}\bigoplus{/tex} 72 = 45; 63 {tex}\bigoplus{/tex} 41 = 33, 25 {tex}\bigoplus{/tex} 52 = 33, then 94 {tex}\bigoplus{/tex} 82 = ?

Question 31 :
If P denotes ÷, Q denotes ×, R denotes + and S denotes –, then the value of 18 Q 12 P 4 R 5 S 6 when simplified gives

Question 32 :
IF P means ' division', T means ' additions', M means ' subtraction and D means multiplication’, then what will be the value of the expressions 12 M 12 D 28 P 7 T 15 ?

Question 33 :
In the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number?<br>If 3 + 9 = 31; 15 + 12 = 45; 18 + 9 = 36, then 12 + 27 = ?

Question 34 :
If A + B = 2C and C + D = 2A, then

Question 35 :
If L denotes ×, M denotes ÷ , P denotes + and Q denotes –, than 8 P 36 M 6 Q 6 M 2 L 3 = ?

Question 36 :
If A stands for +, B stands for –, C stands for x, then what is the value of (10 C4) + (4 C 4) B 6 ?

Question 37 :
In the following question, the symbols, &copy;, {tex}\underline{&copy;}{/tex}, =, * {tex}\underline{*}{/tex}&nbsp;are used with the following meanings <br />{tex}'\mathrm A &copy; \mathrm{B}' {/tex} means 'A is greater than B';<br />'A {tex}\underline{&copy;}{/tex}B' means 'A is greater than or equal to B';<br />'A = B' means 'A is equal to B';<br />'A {tex} ^{*} {/tex} B' means 'A is smaller than B';<br />'A {tex} \mathrm{}_{-}^{*}{/tex} B' means 'A is either smaller than or equal to B'<br />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.<br />Give answer (1) if only if conclusion I is true; (2) if only conclusion II is true; (3) if either I or II is true; (4) if neither I nor II is true.<br /><strong>Statements :</strong> {tex} \mathrm{S}&nbsp; &copy;\mathrm{T}, \mathrm{M}_{-}^{*} \mathrm{~K}, \mathrm{T}=\mathrm{K} {/tex} <br /><strong>Conclusions:</strong><br />I. {tex}\mathrm{T&nbsp; }&copy;\mathrm M{/tex} <br />II. {tex}\mathrm{T=M}{/tex}

Question 38 :
If 4 × 8 = 42; 6 × 4 = 23; 8 × 6 = 34, then 2 × 4 = ?

Question 39 :
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.<br>{tex} \begin{array}{ll}\Delta=\text { greater than } ; & +=\text { not greater than } \ \\\theta=\text { equal to ; } & \phi=\text { not equal to } \\\ x=\text { less than, } & \square=\text { not less than }\end{array} {/tex}<br>{tex} \mathrm{a} \times \mathrm{b} \theta \mathrm{c} {/tex} implies that

Question 40 :
It being given that :> denotes +, < denotes –, + denotes ÷, – denotes =, = denotes ‘less than’ and × denotes ‘greater than’ , find which of the following is a correct statement:

Question 41 :
If + means ÷ ,– means ×, ÷ means + and × means –, then 36 × 8 + 4 ÷ 6 +2 –3 = ?

Question 42 :
If 24 + 35 = 28; 15 + 42 = 24; 84 + 57 = 48, then 69 + 37 = ?

Question 43 :
In the following questions, the symbols @ {tex} \mathrm{C} $ \% {/tex} and {tex} \# {/tex} are used with the following meanings as illustrated below : <br />'A {tex} \${/tex} B' means' A is not smaller than B' <br />'A # B' means 'A' is not smaller than B'<br />'A @ B' means 'A is neither smaller than nor equal to B' <br />'A{tex}C {/tex}B' means 'A is equal to B' <br />'A % B' means 'A' is neither greater than nor equal to B'<br />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 {tex} / {/tex} are definitely true and give your answer accordingly. Clearly, we have <br />A $ B {tex}\Rightarrow{/tex}&nbsp;A &lt; B {tex}\Rightarrow{/tex} A {tex}\geq{/tex}&nbsp;B<br />A # B {tex}\Rightarrow{/tex} A &gt; B {tex}\Rightarrow{/tex} A {tex}\leq{/tex}&nbsp;B. <br />A @ B {tex}\Rightarrow{/tex} A &lt; B and A # B {tex}\Rightarrow{/tex}&nbsp;A &gt; B, <br />A {tex}C {/tex}&nbsp;B {tex}\Rightarrow{/tex} A &gt; B and A # B {tex}\Rightarrow{/tex}&nbsp;A &lt; B<br /><strong><strong><strong>Statements :&nbsp;</strong></strong></strong>H % J,J {tex}C {/tex}&nbsp;N, N @ R<strong><strong><strong><br /><strong>Conclusions: </strong><br />I. {tex} R \% J {/tex}<br />II. H {tex} @ {/tex} J <br />III. N @ H</strong></strong></strong>

Question 44 :
Find the correct inference according to given premises and symbols.<br> (A) Not greater than <br>(B) Greater than <br>(C) Not equal to<br> (D) Equal to <br>(E) Not less than<br> (F) Less than <br>Premises : (lCm) and (lAm)

Question 45 :
If {tex}\rightarrow{/tex} stands for 'addition'; {tex}\leftarrow{/tex} stands for 'subtraction' ; {tex}\uparrow{/tex}­ stands for 'division '; {tex}\downarrow{/tex} stands for 'multiplication' ;{tex}\nearrow{/tex} stands for equal to', then which of the following alternatives is correct ?

Question 46 :
If A stands for +, B stands for –, C stands for ×, then what is the value of (10 C 4) A (4 C 4 ) B 6 ?

Question 47 :
If 20 – 10 means 200, 8 ÷ 4 means 12, 6 × 2 means 4 then 100 – 10 × 1000 ÷ 1000 + 100 × 10 = ?

Question 48 :
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?

Question 49 :
Which one of the four interchanges in signs and numbers would make the given equation correct ? 3 + 5 – 2= 0

Question 50 :
If 36 × 92 = 9623 ; 25 × 82 = 8522; 68 × 75 = 7856, then 47 × 52 = ?