Question 1 :
If A + D > C + E, C + D = 2B and B + E > C + D, it necessarily follows that

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

Question 3 :
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 4 :
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 5 :
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 6 :
If 3 + 5 = 16 ; 7 + 9 = 64 ; 10 + 12 = 121, then 11 + 3 = ?

Question 7 :
If 36 × 92 = 9623 ; 25 × 82 = 8522; 68 × 75 = 7856, then 47 × 52 = ?

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 :
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 10 :
If 24 + 35 = 28; 15 + 42 = 24; 84 + 57 = 48, then 69 + 37 = ?

Question 11 :
If A + D = B + C, A + E = C + D, 2C < A + E and 2A > B + D, then

Question 12 :
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 13 :
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 14 :
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 15 :
If + means ÷ ,– means ×, ÷ means + and × means –, then 36 × 8 + 4 ÷ 6 +2 –3 = ?