TEST ON EQUATIONS

Problem 1 :

If 6 = 2x + 4y, what is the value of x + 2y is 

(a)  2  (b)  3  (c) 6  (d)  8

Problem 2 :

Solve for y in the equation 

and the value of y is.

(a)  -1  (b)  7   (c)  1   (d) -1/7

Problem 3 :

Pick up the correct value x for which

(a)  x = 0   (b) x = 1   (c) x = 10   (d) None of these

Problem 4 :

The denominator of the fraction exceed the numerator by 5 and if 3 be added to both the fraction becomes 3/4. Find the fraction.

(a)  12/17   (b)  15/17   (c)  12/25   (d)  13/29

Problem 5 :

Three persons Mr. Roy, Mr Paul and Mr. Singh together have $51. Mr Paul has $4 less than Mr Roy and Mr. Singh has got $5 less than Mr.Roy. They have the money as

(a)  (20, 16, 15)   (b)  (15, 20, 16)  (c)  (25, 11, 15)

Problem 6 :

A number consists of two digits. The digits in the ten's place is 3 times the digit in the unit's place. If 54 is subtracted from the number the digits are reversed. The number is 

(a)  39   (b)  92  (c) 93  (d)  94

Problem 7 :

The number consists of two digits, the digit in the ten's place is twice the digit in the unit's place. If 18 be subtracted from the number the digits are reversed. Find the number

(a)  42   (b)  24  (c) 33  (d)  61

Problem 8 :

Solving 4^x⋅2^y = 128 and 3^3x+2y = 9^xy, we get the following roots.

(a)  7/4, 7/2  (b)  2, 3  (c)  1, 2) (d) 1, 3

Problem 9 :

Solving 9^x = 3^y and 5^x+y+1 = 25^xy, we get the following roots.

(a)  1, 2  (b) 0, 1  (c)  0, 3  (d)  1, 3

Problem 10 :

Solving 9x + 3y - 4z =  3, x + y - z = 0 and 2x - 5y - 4z = -20 the following roots obtained.

(a) 2, 3, 4  (b) 1, 3, 4  (c) 1, 2, 3  (d) None

Problem 11 :

One machine can seal 360 packages per hour, and an older machine can seal 140 packages per hour. How many minutes will the two machines working together take to seal a total of 700 packages?

(a) 48  (b) 72  (c) 84  (d) 90

Problem 12 :

The age of a person is 8 years more than thrice the age of the sum of his two grandsons who were twins. After 8 years his age will be 10 years more then twice the sum of the ages of his grandsons. Then the age of the person when twins born is 

(a) 86 years  (b) 73 years  (c) 68 years  (d) 63 years

Problem 13 :

Solving

we get the roots as under.

(a) 1, 4       (b) 1, 2         (c) 1, 3       (d) 1, 5

Problem 14 :

Solving

we get the roots

(a) 1/8, 1/5       (b) 1/2, 1/3         (c) 1/13, 1/5       (d) 1/4, 1/5

Problem 15 :

(a) (2, 5)       (b) (5, 2)         (c) (2, 7)       (d) (3, 4)

Problem 16 :

3x - 4y + 70z = 0, 2x + 3y - 10z = 0, x + 2y +3 z = 13

(a) (1, 3, 7)       (b) (1, 7, 3)         (c) (2, 7)       (d) (3, 4)

Problem 17 :

A number consist of three digits of which the middle one is zero and the sum of the other digits is 9. The number formed by interchanging the first and third digits is more than the original number by 297, find the number

(a) 306       (b) 603         (c) 504       (d) 405

Problem 18 :

The demand and supply equations for a certain commodity are 4q + 7p = 17 and 

respectively where p is the market price and q is the quantity then the equilibrium price and quantity are. 

(a) 2, 3/4    (b) 3, 1/2         (c) 5, 3/5       (d) None

Problem 19 :

y is older than x by 7 years 15 years back x's age was 3/4 of y's age. Their present ages are :

(a) x = 40 and y = 47         (b) x = 50 and y = 43

(c) x = 43 and y = 50       (d)  x = 36 and y = 43 

Problem 20 :

If thrice of A's age 6 years ago be subtracted from twice his present age, the result would be equal to his present age. Find A' present age.

(a) 6          (b) 9         (c) 12       (d) 15