Question 1 : <p>If Rs 1,000 be invested at interest at interest rate of 5% and the interest be added to the principal every 10 years, than the number of years in which it will amount to Rs 2,000 is</p>
Question 3 : <p>A person borrows Rs 5,000 for 2 years at 4% p.a. simple interest. He immediately lends to another person at 6 {tex}{1 \over 4}{/tex} % p.a.for 2 years. Find his gain in the transaction per year :</p>
Question 7 : <p>The number of subsets of the set formed by the word Allahabad is:</p>
Question 9 : <p>Mr. X invests Rs 90,500 in post office at 7.5% p.a. simple interest. While calculating the rate was wrongly taken as 5.7% p.a The difference in amounts at maturity is Rs 9,774. Find the period for which.the sum was invested:</p>
Question 10 : <p>If the simple interest on a sum of money at 12% p.a.for two years is Rs. 3,600.The compound interest on the same sum for two years at the same rate is:</p>
Question 11 : <p>Let N be the set of all natural numbers; E be the set of all even natural numbers then the function;</p><p>F:N ⇒ E defined as f(x) = 2x - Vx{tex}\in{/tex}N is = <u> </u> .</p>
Question 12 : <p>In a class of 35 students, 24 like to play cricket and 16 like to play football. Also each student likes to play at least one of the two games.</p><p>How many students like to play both cricket and football?</p>
Question 14 : <p>If a:b = 2:3, b:c = 4:5 and c:d =6:7 , then a:d is</p>
Question 15 : <p>The distance from the origin to the point of the intersection of two straight lines having equation 3x+2y=18 is :</p>
Question 16 : <p>If log x = m + n and y = m - n , then log (10x/y<sup>2</sup>) = </p>
Question 17 : <p>The incomes of A and B are in the ratio 3 : 2 and their expenditures in the ratio 5 : 3. If each saves Rs1,500, then B<sup>'</sup>s income is :</p>
Question 18 : <p>If log<sub>2</sub> [log<sub>3</sub> (log<sub>2</sub> x)] = 1, then x equals :</p><p> </p>
Question 20 : <p>In what ratio should tea worth Rs10 per kg be mixed with tea worth Rs14 per kg, so that te average price of the mixture may be Rs11 per kg?</p>
Question 21 : <p>Let A be the set of squares of natural numbers and let x{tex}\in{/tex}A, y{tex}\in{/tex}A then</p>
Question 22 : <p>What must be added to each term of the ratio 49 : 68, so that it becomes 3 : 4 ?</p>
Question 23 : <p>If x = y<sup>a</sup>, y = z<sup>b</sup> and z = x<sup>c</sup> then abc is :</p>
Question 24 : <p>The domain (D) and range (R) of the function f(x) = 2 - |x+1| is</p>
Question 25 : <p>If A is a matrix of order m x n and B is a matrix of order n x p then the order of AB is </p>
Question 27 :
<h3><b>If p<sup>x</sup>=q, q<sup>y</sup>=r ,and r<sup>z</sup>=p<sup>6</sup>, then the value of xyz will be :</b></h3>
Question 29 : <p>The difference between the Compound interest and Simple interest at 10% per annum for 4 years on Rs 10,000 is Rs</p>
Question 30 : <p>Nominal rate of interest is 9.9% p.a. If interest is compounded monthly , What will be the effective rate of interest .</p><p>( given ({tex}{\frac{4033}{4000}}{/tex})<sup>12</sup> = 1.1036 (approx) ) ?</p>
Question 31 : <p>The future value of an annuity of Rs 1,000. made annually for 5 years at the interest of 14% compounded annually is:</p>
Question 33 : <p>If N be the set of all natural numbers and E be the set of all even natural numbers then the function f: N → E, such that f(x) = 2x for all X{tex}\in{/tex}N is</p>
Question 34 : <p>If compound interest on any sum at the rate of 5% for two years is Rs 512.50 then the sum would be:</p>
Question 36 : <p>the value of k for which the points (k, 1), (5, 5), and (10, 7) may be collinear is : </p>
Question 39 : <p>If log<sub>2</sub>x + log<sub>4</sub>x = 6, then the value of x is : </p>
Question 40 : <p>If f(x) = {tex}{x + 1{} \over x + 2}{/tex}, then f{tex}f\left\{f(\frac{1}{x}ight)\}{/tex} = <u> </u>.</p>
Question 41 : <p>If f(x) = {tex}{x - 1{} \over x}{/tex} and g(x) = {tex}{1{} \over 1 - x}{/tex} then (fog) (x) is equal to:</p>
Question 43 : <p>The value log ( 1<sup>3</sup> + 2<sup>3 </sup> + 3<sup>3</sup> ......n<sup>3</sup> ) is equal to :</p>
Question 45 : <p>The range of function f defined by f(x) = {tex}{x{} \over x^2 + 1}{/tex} is:</p>
Question 46 : <p>A matrix having M rows and n columns with m not = n is said to be a </p>
Question 47 : <p>In a town of 20,000 families it was found that 40% families buy newspaper. A, 20% families buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C if 2% families buy all the three newspapers, then the number of families which buy A only is:</p>
Question 48 : <p>The ratio compounded of 4 : 5 and sub- duplicate of "a" :9 is 8 : 15. then value of "a" is :</p>
Question 50 : <p>Given that log<sub>10</sub>2 = x and log<sub>10</sub>3 = y , the value of log<sub>10</sub>60 is expressed as:</p>
Question 51 :
Roots of the equation {tex} 3 x ^ { 2 } - 14 x + k = 0 {/tex} will be reciprocal of each other if :
Question 52 :
If one root of the Equation {tex} \mathrm { px } ^ { 2 } + \mathrm { qx } + \mathrm { r } = 0 {/tex} is {tex} \mathrm { r } {/tex} then other root of the Equation will be
Question 53 :
If roots of equation {tex} x ^ { 2 } + x + r = 0 {/tex} are {tex} ^ { \prime } \alpha ^ { \prime } {/tex} and {tex} ^ { \prime } \beta ^ { \prime } {/tex} and {tex} \alpha ^ { 3 } + \beta ^ { 3 } = - 6 . {/tex} Find the value {tex} r {/tex}
Question 54 :
The present age of man is 8 years more than thrice the sum of the ages of his two grandsons who are twins. After 8 years, his age will be 10 years more than twice the sum of the ages of his grandsons. The age of a man when his grandsons were born was
Question 55 :
If one of the roots of the equation {tex} x ^ { 2 } + p x + q {/tex} is {tex} \sqrt { 3 } + 2 , {/tex} then the value of 'p' and 'q' is
Question 56 :
A straight line of {tex} x = 15 {/tex} is :
Question 57 :
The value of 'K' for which the system of equations {tex} k x + 2 y = 5 {/tex} and {tex} 3 x + y = 1 {/tex} has no solution is
Question 58 :
If {tex} b ^ { 2 } - 4 a c {/tex} is a perfect square but not equal to zero than the roots are:
Question 59 :
One root of the equation {tex} : x ^ { 2 } - 2 ( 5 + m ) x + 3 ( 7 + m ) = 0 {/tex} is reciprocal of the other. Find the value of {tex} M {/tex}.
Question 60 :
The number of students in each section of a school is {tex} 36 . {/tex} After admiting 12 new students, four new sections were started. If total number of students in each section now is {tex} 30 , {/tex} then the number of sections initially were
