MCQOPTIONS
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MCQOPTIONS
This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your ALGEBRA knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The number of solutions of these equations x + (1 / y) = 2 and 2xy – 3y = –2 is: |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | None of these |
| Answer» B. 1 | |
| 2. |
What is the value of x + y in the solution of the equations? (x / 4) + (y / 3) = (5 / 12) and (x / 2) + y = 1 is: |
| A. | 1/3 |
| B. | 3/2 |
| C. | 2 |
| D. | 5/2 |
| Answer» C. 2 | |
| 3. |
A railway half ticket costs half the full fare but the reservation charges are the same for half ticket as well as for full ticket. one reserved first class ticket for a journey between two stations is Rs. 362 and one full and one half reserved first class tickets cost Rs. 554. The reservation charges are: |
| A. | Rs. 18 |
| B. | Rs. 22 |
| C. | Rs. 38 |
| D. | Rs. 46 |
| Answer» B. Rs. 22 | |
| 4. |
Points A and B are 60km apart. A bus starts from A and another from B at the same time. If they go in the same direction they meet in 6 hours and if they go in opposite direction they meet in 2 hours. The speed of the bus with greater speed is: |
| A. | 10 km/hr |
| B. | 20 km/hr |
| C. | 30 km/hr |
| D. | 40 km/hr |
| Answer» C. 30 km/hr | |
| 5. |
The equations ax + b = 0 and cx + d = 0 are cosistent, if |
| A. | ad = bc |
| B. | ad + bc = 0 |
| C. | ab - cd = 0 |
| D. | ab + cd = 0 |
| Answer» B. ad + bc = 0 | |
| 6. |
The solution set of the equations {1 / 2(2x + 3y) + {12 / 7(3x – 2y)} = 1 / 2; and {7 / (2x + 3y)} + {4 / (3x – 2y)} = 2 is; |
| A. | {(1, 0)} |
| B. | {(1, -1)} |
| C. | {(1, 2)} |
| D. | {(2, 1)} |
| Answer» E. | |
| 7. |
The solution of the equation x – y = 0.9 and{11 / 2 (x + y)} = 1 is: |
| A. | x = 3.2, y = 2.3 |
| B. | x = 1, y = 0.1 |
| C. | x = 2, y = 1.1 |
| D. | None of these |
| Answer» B. x = 1, y = 0.1 | |
| 8. |
The value of y in the solution of the equation 2x + y= 2x - y=√8 is: |
| A. | 0 |
| B. | 1/4 |
| C. | 1/2 |
| D. | 3/4 |
| Answer» B. 1/4 | |
| 9. |
Find the value of the given below information Solve: (6 / x) + (3 / y) = 7, (3 / x) + (9 / y) = 11. |
| A. | x = 3/2, y = 1 |
| B. | x = 3, y =1 |
| C. | x = 2, y = 1 |
| D. | x = 1, y =3 |
| Answer» B. x = 3, y =1 | |
| 10. |
Find the value of x and y from the given equation: 3x + 2y = 4, 8x + 5y = 9. |
| A. | {(2, 5)} |
| B. | {(-2. 5)} |
| C. | {(-2, 3)} |
| D. | {(1, 3)} |
| Answer» C. {(-2, 3)} | |
| 11. |
If 6x – 5y = 13, 7x + 2y = 23 then 11x + 18y = ? |
| A. | – 15 |
| B. | 51 |
| C. | 33 |
| D. | 15 |
| Answer» C. 33 | |
| 12. |
A person bought 5 tickets from a station P to a station Q and 10 tickets from the station P to a station R. He paid Rs. 350. If the sum of a ticket from P to Q and a ticket from P to R is Rs. 42, then what is the fare from P to Q? |
| A. | Rs. 12 |
| B. | Rs. 14 |
| C. | Rs. 16 |
| D. | Rs. 18 |
| Answer» C. Rs. 16 | |
| 13. |
If one-third of a two-digit number exceeds its one-fourth by 8, then what is the sum of the digits of the number? |
| A. | 6 |
| B. | 13 |
| C. | 15 |
| D. | 17 |
| Answer» D. 17 | |
| 14. |
What is the sum of two numbers whose differences is 45 and the quotient of the greater number by the lesser number is 4? |
| A. | 100 |
| B. | 90 |
| C. | 80 |
| D. | 75 |
| Answer» E. | |
| 15. |
If a two-digit number is added to a number obtained by reversing the digits of the given number, then the sum is always divisible by which one of the following numbers? |
| A. | 7 |
| B. | 9 |
| C. | 10 |
| D. | 11 |
| Answer» E. | |