Simple Equations

1. Thrice a number exceeds its three-fourth by 36. Find the number.

A. 14  

B. 12  

C. 16  

D. 18 

 

Correct Answer : C

2. Solve the following pairs of equations for x and y respectively. 12x - 10y -2 = 0 and 10x - 10y + 20 = 0

A. 13, 11  

B. 11, 13  

C. 12, 10  

D. 10, 12 

 

Correct Answer : B

3. Solve for x. 3(x + 4) + 8 = 5x

A. 9  

B. 10  

C. 5  

D. 6 

 

Correct Answer : B

4. Flow many pairs of x and y satisfy 3x + 6y = 18 and 9x + 18y = 57?

A. 2  

B. 1  

C. 0  

D. None of these 

 

Correct Answer : C

5. Five sharpeners and six erasers cost 728. Six sharpeners and five erasers cost 727. Find the cost (in 7) of each sharpener and each eraser respectively.

A. 3, 2  

B. 2, 3  

C. 1, 4  

D. 4, 1 

 

Correct Answer : B

6. The first and the last digits of a three-digit number differ by 4. Find the difference of the number and the number formed by reversing its digits.

A. 392  

B. 296  

C. 400  

D. 396 

 

Correct Answer : D

7. The difference between a three-digit number and the number formed by reversing its digits is not a multiple of

A. 9  

B. 11  

C. 99  

D. 101 

 

Correct Answer : D

8. The digits of a two-digit number differ by six. Find the difference of the number and the number formed by reversing its digits.

A. 45  

B. 81  

C. 54  

D. 63 

 

Correct Answer : C

9. The cost of two dosas and three idlis is 746. The cost of a dosa and two idlis is 726. Find the cost of four dosas and four idlis.

A. 60  

B. 80  

C. 100  

D. 70 

 

Correct Answer : B

10. Three pens and four erasers cost 718. Four pens and three erasers cost 717. Find the cost of 14 pens and 14 erasers

A. 70  

B. 60  

C. 50  

D. 40 

 

Correct Answer : A

11. Ashok’s age, 30 years hence, will be twice his age five years ago. Find his present age. (in years)

A. 60  

B. 50  

C. 35  

D. 40 

 

Correct Answer : D

12. How many pair(s) of x and y satisfy the equations 4x + 6y = 16 and 6x + 9y = 24?

A. 0  

B. 1  

C. infinite  

D. None of these 

 

Correct Answer : C

13. Three chocolates, four biscuits and five cakes cost 734. Six chocolates and eight biscuits cost 738. Find the cost of each cake (in Rs.)

A. 6  

B. 5  

C. 4  

D. 3 

 

Correct Answer : D

14. How many pairs of x and y satisfy the equations 6x + 5y = 16 and 8x + 7y = 22?

A. 0  

B. 1  

C. infinite  

D. None of these 

 

Correct Answer : B

15. The sum of a two-digit number and its reverse is k times times the sum of its digits. Find the value of k.

A. 9  

B. 10  

C. 11  

D. Cannot be determined 

 

Correct Answer : C