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This section includes 391 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Mcqs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
+ is |
| A. | Binary operation on R |
| B. | Not a binary operation on R |
| C. | A binary operation in Qc |
| D. | Not a binary operation in E |
| Answer» B. Not a binary operation on R | |
| 2. |
(A ? B) ? C = |
| A. | A ? (B ? C ) |
| B. | A ? (B ? C ) |
| C. | ? |
| D. | A ? (B ? C ) |
| Answer» B. A ? (B ? C ) | |
| 3. |
(A n B) n C = |
| A. | A n (B n C ) |
| B. | A ? (B ? C ) |
| C. | ? |
| D. | A ? (B ? C ) |
| Answer» B. A ? (B ? C ) | |
| 4. |
(cos(x)-cos3x)/(sin3x-sin(x)) = |
| A. | Cot2x |
| B. | Tan2x |
| C. | Csc2x |
| D. | Sec2x |
| Answer» B. Tan2x | |
| 5. |
* is said to be commutative in A for all a,b ? A |
| A. | A + b = b + a |
| B. | A * b = b * a |
| C. | A - b = b - a |
| D. | A * b ? b * a |
| Answer» B. A * b = b * a | |
| 6. |
2cos?cos? = |
| A. | Cos(? + ?)+ cos(? - ?) |
| B. | Cos(? + ?)- cos(? - ?) |
| C. | Sin(? + ?)+ sin(? - ?) |
| D. | Sin(? + ?)- sin(? - ?) |
| Answer» B. Cos(? + ?)- cos(? - ?) | |
| 7. |
2cos?sin? = |
| A. | Cos(? + ?)+ cos(? - ?) |
| B. | Cos(? + ?)- cos(? - ?) |
| C. | Sin(? + ?)+ sin(? - ?) |
| D. | Sin(? + ?)- sin(? - ?) |
| Answer» B. Cos(? + ?)- cos(? - ?) | |
| 8. |
2sin3?cos? = |
| A. | Cot4?+cot2? |
| B. | Cos4?+cos2? |
| C. | Cos4?-cos2? |
| D. | Sin4?+sin2? |
| Answer» B. Cos4?+cos2? | |
| 9. |
2sin7?cos3? = |
| A. | Tan2?tan? |
| B. | Cot2?cot? |
| C. | ?tan2?tan? |
| D. | Sin10?+sin4? |
| Answer» B. Cot2?cot? | |
| 10. |
2sin?cos? = |
| A. | Cos(? + ?)+ cos(? - ?) |
| B. | Cos(? + ?)- cos(? - ?) |
| C. | Sin(? + ?)+ sin(? - ?) |
| D. | Sin(? + ?)- sin(? - ?) |
| Answer» B. Cos(? + ?)- cos(? - ?) | |
| 11. |
2sin?sin2?/cos?+cos3? = |
| A. | Tan2?tan? |
| B. | Tan3?tan2? |
| C. | ?tan2?tan? |
| D. | Sin2?tan? |
| Answer» B. Tan3?tan2? | |
| 12. |
3sin?+4cos? = |
| A. | 5cos(?+tan-14/3) |
| B. | 5sin(?+tan-14/3) |
| C. | 5sin(?+cot-14/3) |
| D. | None of Above |
| Answer» B. 5sin(?+tan-14/3) | |
| 13. |
5! = ? |
| A. | 140 |
| B. | 120 |
| C. | 5 |
| D. | 0 |
| Answer» C. 5 | |
| 14. |
1 cos?/sin? = |
| A. | Tan?/2 |
| B. | ?tan?/2 |
| C. | ?cot?/2 |
| D. | None of Above |
| Answer» B. ?tan?/2 | |
| 15. |
1 tan?tanphi/1 + tan?tanphi = |
| A. | Cos(?+phi) |
| B. | Cos(?-phi) |
| C. | Cos(?+phi)/cos(?-phi) |
| D. | None of Above |
| Answer» B. Cos(?-phi) | |
| 16. |
1 + tan?tan2? = |
| A. | ?sec2? |
| B. | ?cosec2? |
| C. | Cosec2? |
| D. | Sec2? |
| Answer» B. ?cosec2? | |
| 17. |
1+cos2? = |
| A. | 2sin? |
| B. | 2cos? |
| C. | 2sec? |
| Answer» B. 2cos? | |
| 18. |
60? = |
| A. | 3600? |
| Answer» B. | |
| 19. |
{ 3 n : n ? Z } IS an abelian group under |
| A. | Subtraction |
| B. | Division |
| C. | Multiplication |
| D. | Addition |
| Answer» B. Division | |
| 20. |
{ 3 n : n ? Z } is an abelian group under |
| A. | Subtraction |
| B. | Division |
| C. | Multiplication |
| D. | Addition |
| Answer» B. Division | |
| 21. |
{X | x ? N ? x < 1} is the |
| A. | Singleton set |
| B. | The set with two points |
| C. | A set with three points |
| D. | Empty set |
| Answer» B. The set with two points | |
| 22. |
{x|x ? N, x ? 10} is the |
| A. | Set builder notation |
| B. | Tabular method |
| C. | Descriptive method |
| D. | Non descriptive method |
| Answer» B. Tabular method | |
| 23. |
|z1 z2 | = |
| A. | > |Z1| + |Z2| |
| B. | ?|Z1| + |Z2| |
| C. | ? Z1 + Z2 |
| D. | > Z1 + Z2 |
| Answer» B. ?|Z1| + |Z2| | |
| 24. |
?((1 sin?)/(1 + sin?)) = |
| A. | Sec? |
| B. | Tan?-sec? |
| C. | Sec?-tan? |
| D. | Csc? |
| Answer» B. Tan?-sec? | |
| 25. |
The diagonal of a square is 4?2cm. The diagonal is another square whose area is double that of the first square is__________? |
| A. | 8cm |
| B. | 8?2cm |
| C. | 16cm |
| D. | 4?2cm |
| Answer» B. 8?2cm | |
| 26. |
does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work? |
| A. | 23 days |
| B. | 37 days |
| C. | 37(1/2) days |
| D. | 40 days |
| Answer» B. 37 days | |
| 27. |
The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers? |
| A. | 9, 10 |
| B. | 10, 11 |
| C. | 11, 12 |
| D. | 12, 13 |
| Answer» B. 10, 11 | |
| 28. |
If 40% of x = y,then y% of 40 is the same as ? |
| A. | 4% of x |
| B. | 16% of x |
| C. | 20% of x |
| D. | 5% of y |
| Answer» B. 16% of x | |
| 29. |
1 inch is equal to__________? |
| A. | 2.4 cm |
| B. | 2.5 cm |
| C. | 2.54 cm |
| D. | None |
| Answer» D. None | |
| 30. |
The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube? |
| A. | 450 m3 |
| B. | 100 m2 |
| C. | 60 m3 |
| D. | 400 m3 |
| Answer» D. 400 m3 | |
| 31. |
The curved surface of a sphere is 64 ? cm2. Find its radius? |
| A. | 1 cm |
| B. | 2 cm |
| C. | 4 cm |
| D. | 3 cm |
| Answer» D. 3 cm | |
| 32. |
Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points? |
| A. | 29 |
| B. | 32 |
| C. | 55 |
| D. | 30 |
| Answer» C. 55 | |
| 33. |
What is the rate of discount if a bicycle which cost Rs.4,000 is sold for Rs.3,200? |
| A. | 14% |
| B. | 16% |
| C. | 18% |
| D. | 20% |
| Answer» B. 16% | |
| 34. |
The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are? |
| A. | 10, 3 |
| B. | -10, 3 |
| C. | -20, 3 |
| D. | -10, -3 |
| Answer» D. -10, -3 | |
| 35. |
Naeem sold a computer for Rs 25000 at which he suffered 20% loss. Find the purchase price of the computer. |
| A. | 31000 |
| B. | 41250 |
| C. | 31250 |
| D. | 3200 |
| Answer» D. 3200 | |
| 36. |
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in: |
| A. | 20 days |
| B. | 22(1/2) days |
| C. | 25 days |
| D. | 30 days |
| Answer» B. 22(1/2) days | |
| 37. |
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0? |
| A. | 15 |
| B. | 14 |
| C. | 24 |
| D. | 26 |
| Answer» C. 24 | |
| 38. |
What is the area in cm2 of the shaded region in the diagram below? |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| Answer» C. 8 | |
| 39. |
What is the perimeter of a square field whose diagonal is 8?2? |
| A. | 64 m |
| B. | 32 m |
| C. | 30 m |
| D. | 16 m |
| Answer» C. 30 m | |
| 40. |
Find the quadratic equations whose roots are the reciprocals of the roots of 2 2 + 5x + 3 = 0? |
| A. | 3x2 + 5x + 2 = 0 |
| Answer» C. | |
| 41. |
What is the distance travelled by a car which travelled at a speed of 80km/hr for 3 hours and 30 minutes? |
| A. | 275km |
| B. | 280km |
| C. | 285km |
| D. | 290km |
| Answer» B. 280km | |
| 42. |
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? |
| A. | 30 m |
| B. | 40 m |
| C. | 60 m |
| D. | 320 m |
| Answer» B. 40 m | |
| 43. |
A vendor sells 40% of his stock of oranges and is left with only 420 oranges. What was the total number of oranges available before the sell ? |
| A. | 672 oranges |
| B. | 700 oranges |
| C. | 588 oranges |
| D. | 600 oranges |
| Answer» B. 700 oranges | |
| 44. |
Three flags each of different colours are available for a military exercise, Using these flags different codes can be generated by waving I. Single flag of different colours II. Any two flags in a different sequence of colours. III. three flags in a different sequence of colours. The maximum number of codes that can be generated is. |
| A. | 6 |
| B. | 9 |
| C. | 15 |
| D. | 18 |
| Answer» D. 18 | |
| 45. |
H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 * 35 * 52 * 72. The third number is___________? |
| A. | 22 * 35 * 72 |
| B. | 22 * 53 * 72 |
| C. | 25 * 52 * 72 |
| D. | 23 * 35 * 72 |
| Answer» B. 22 * 53 * 72 | |
| 46. |
If (461 + 462 + 463 + 464) is divisible by ?, then ? =_____________? |
| A. | 3 |
| B. | 11 |
| C. | 13 |
| D. | None of these |
| Answer» E. | |
| 47. |
Naeem gave 25% of a profit to his partner. If the partner got Rs.4000, what will remain with him ? |
| A. | 14000 |
| B. | 12000 |
| C. | 6000 |
| D. | 1000 |
| Answer» C. 6000 | |
| 48. |
What is the average of the numbers: 0, 0, 4, 10, 5, and 5? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» D. 5 | |
| 49. |
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them? |
| A. | 1/6 |
| B. | 5/8 |
| C. | 3/8 |
| D. | 5/6 |
| Answer» E. | |
| 50. |
What is the probability that a leap year has 53 Sundays and 52 Mondays? |
| A. | 0 |
| B. | 1/7 |
| C. | 2/7 |
| D. | 5/7 |
| Answer» C. 2/7 | |