Linear Equation

1.         Solve for y : y² -81 = 0

(1)  18              (2) 9                 (3)  - 9             (4)  Both 2 & 3

           

2.         If m² = 7 m   then   m = ?

(1)  7                (2)  - 7             (3)  10              (4)  Both 2 & 3 

3.         x² - 3x - 10 = 0   then x = ?

(1)  - 5, - 2       (2)  5, - 2         (3)  - 5, 2         (4)  Both 2 & 3   

4.         If  2y² + 4 = 9y   then y = ?

(1) - 1/2   , 4      (2) 1/2  , - 4       (3)  1/2  , 4       (4)  Both 2 & 3  

5.         If  a² = 36        then     a = ?

(1) 5                 (2) 9                 (3)  3                (4)  6     

           

6.         If  x/4 = 49/x    then x = ?

(1)  14              (2) 12               (3)  19              (4)  16  

           

7.         If (x-2)/ (x-1) = (x+4)/ (2x-2)    then x = ?

(1) 8, 1      (2) - 8, 1          (3)  8, - 1         (4)  - 8, - 1  

8.         The Square of a number is decreased by 15. This value is twice the original number. Find the number(s).

(1) - 5, 3          (2) 5, - 3          (3)  - 5, - 3      (4)  Both 1 & 2

9.         The product of two consecutive integers is 56 find the integers.

(1) 8, - 7          (2) - 8, - 7        (3)  8 , 7         (4)  Both 2 & 3 

10.       One leg of a right triangle exceeds the other leg by 4 inches. The hypotenuse is 20 inches. Find the length of the shortest leg of the right triangle ?

(1)  16        (2) 12          (3)  Both 1 & 2         (4)  Cannot be determined

11.     The solution of which of the following equations is neither a fraction nor an integer.

          (1) 3x+2 = 5x+2  (2) 4x-18=2      (3) 4x+7=x+2     (4) 5x-8=x+4

12.       A number is added to its two third is equal to 35. Find the number.

(1) 21               (2)  28              (3)  35              (4)  50     

13.       The sum of two numbers is 42 and their product is 437. Then their difference is

(1) 9                 (2) 4                 (3)  18              (4)  5  

14.       When 60 subtract from 60 % of a number gives 60, the number is

(1)  170            (2) 300 (3)  140            (4)  200       

15.       When 35 is added to 5 times a certain number the result is 100. The number is

(1)  12              (2)  65              (3)  13              (4)  25       

16.       The sum of the squares of three consecutive natural numbers is 149. Then the numbers be

(1)  5, 6, 7        (2)  8, 9, 10      (3)  6, 7, 8        (4)  4, 5, 6    

17.       50 is divided into two parts such that the sum of their reciprocals is 1/12 .Find the two parts

(1)  30, 20        (2)  25, 25        (3)  15, 35        (4)  10, 40 

18.       The sum of two numbers is 15 & sum of their Square is 113. Find the numbers.

(1) 5, 10           (2) 7, 8 (3)  9, 6            (4)                   10, 5 

19.       Twenty times a positive integer is less then its square by 96. What is the integer ?

(1)  20              (2)  25              (3)  30              (4)  24          

20.       The sum of a positive number and its reciprocal is thrice the difference of the number and its reciprocal. The number is

(1) \/2              (2) 1/ \/2               (3)  \/3             (4)   1/ \/3     

ANS KEY

Question No.	Answer
1	4
2	1
3	2
4	3
5	4
6	1
7	1
8	2
9	4
10	2
11	2
12	1
13	2
14	4
15	3
16	3
17	1
18	2
19	4
20	1