Question 1 :
If A + B = 2C and C + D = 2A, then
Question 2 :
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 3 :
If 20 – 10 means 200, 8 ÷ 4 means 12, 6 × 2 means 4 then 100 – 10 × 1000 ÷ 1000 + 100 × 10 = ?
Question 4 :
If × means ÷, – means × , ÷ means + and + means – then (3 – 15 ÷ 19) × 8 + 6 = ?
Question 5 :
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 6 :
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 7 :
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 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 />{tex} \mathrm{c}+\mathrm{b} \times {/tex} a means
Question 9 :
If 3 × 4 = 14; 5 × 6 = 33; 7 × 8 = 60, then 8 × 9 = ?
Question 10 :
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 11 :
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} A < B {tex}\Rightarrow{/tex} A {tex}\geq{/tex} B<br />A # B {tex}\Rightarrow{/tex} A > B {tex}\Rightarrow{/tex} A {tex}\leq{/tex} B. <br />A @ B {tex}\Rightarrow{/tex} A < B and A # B {tex}\Rightarrow{/tex} A > B, <br />A {tex}C {/tex} B {tex}\Rightarrow{/tex} A > B and A # B {tex}\Rightarrow{/tex} A < B<br /><strong><strong><strong>Statements : </strong></strong></strong>H % J,J {tex}C {/tex} 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 12 :
In the following question, the symbols, ©, {tex}\underline{©}{/tex}, =, * {tex}\underline{*}{/tex} are used with the following meanings <br />{tex}'\mathrm A © \mathrm{B}' {/tex} means 'A is greater than B';<br />'A {tex}\underline{©}{/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{©} {/tex} N
Question 13 :
If 3 + 8 = 17; 5 – 2 = 23; 6 × 2 = 72, then 8 ÷ 4 = ?
Question 14 :
If + means × . × means –, ÷ means + and – means ÷, then which of the following gives the result of<br> 175 – 25 ÷ 5 ÷ 20 × 3 + 10 ?
Question 15 :
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 16 :
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} A < B {tex}\Rightarrow{/tex} A {tex}\geq{/tex} B<br />A # B {tex}\Rightarrow{/tex} A > B {tex}\Rightarrow{/tex} A {tex}\leq{/tex} B. <br />A @ B {tex}\Rightarrow{/tex} A < B and A # B {tex}\Rightarrow{/tex} A > B, <br />A {tex}C {/tex} B {tex}\Rightarrow{/tex} A > B and A # B {tex}\Rightarrow{/tex} A < 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 17 :
If 4 × 8 = 42; 6 × 4 = 23; 8 × 6 = 34, then 2 × 4 = ?
Question 18 :
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 19 :
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 20 :
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 ?