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objective Ques (11 results)
1)

For what value of k, the pair of equations 4x – 3y = 9, 2x + ky = 11 has no solution?

Class 10 Maths
A)

-3/2

B)

-2/3

C)

3/2

D)

1/2

2)

Solve the following pair of equations for x and y: 


\({a^2 \over x} − {b2 \over y }= 0; {a^2b \over x}+{b^2a \over y} = a + b, x ≠ 0; y ≠ 0\)

Class 10 Maths
A)

x=a, y=b

B)

\(x =a^2, y=b^2\)

C)

\(x = a^2/b, y= ab^2/a\)

D)

\(x =-a^2, y =-b^2\)

3)

Solve for x and y: 
27x + 31y = 85;
31x + 2 7y = 89

Class 10 Maths
A)

x = 1, y = 2

B)

x = -2, y = -1

C)

x = -1, y =- 2

D)

x = 2, y = 1

4)

The sum of the digits of a two digit number is 8 and the difference between the number and that formed by reversing the digits is 18. Find the number. 

Class 10 Maths
A)

-53

B)

35

C)

53

D)

-35

5)

The age of the father is twice the sum of the ages of his 2 children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father.

Class 10 Maths
A)

30 yrs

B)

40 yrs

C)

35 yrs

D)

45 yrs

6)

 The pair of equations y = 0 and y = –7 has

                                     

 

          

 

Class 10 Maths
A)

 One solution     

B)

 Two solutions

C)

 No solution

D)

 Infinitely many solutions       

7)

The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively

Class 10 Maths
A)

4 and 24   

B)

6 and 36  

C)

5 and 30

D)

 3 and 24

8)

A man earns ₹600 per month more than his wife. One-tenth of the man’s salary and l/6th of the wife’s salary amount to ₹1,500, which is saved every month. Find their incomes

Class 10 Maths
A)

Wife’s income = ₹5,400
Man’s income = ₹6,000

B)

Wife’s income =₹5,800
Man’s income = ₹7,000

C)

Wife’s income = ₹6,000
Man’s income = ₹5,400

D)

Wife’s income =₹7,000
Man’s income = ₹5,800

9)

Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are
 

Class 10 Maths
A)

intersecting at one point

B)

parallel

C)

intersecting at two points

D)

coincident

10)

The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have

Class 10 Maths
A)

a unique solution

B)

infinitely many solutions

C)

no solution

D)

two solutions

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