MCQOPTIONS
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MCQOPTIONS
This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In an A.P., the sum of first n terms is \[\frac{3{{n}^{2}}}{2}+\frac{13n}{2}.\]Find its 25th term. |
| A. | 80 |
| B. | 120 |
| C. | 60 |
| D. | 78 |
| Answer» B. 120 | |
| 2. |
If \[\frac{{{a}^{n+1}}+{{b}^{n+1}}}{{{a}^{n}}+{{b}^{n}}}\]is the A.M. between a and b, then find the value of n. |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 3. |
What is the sum to 'n' terms of the series\[\sqrt{5},\sqrt{20},\sqrt{45},\sqrt{80},.....?\] |
| A. | \[\frac{n(n+1)\sqrt{5}}{2}\] |
| B. | \[\frac{n(n+1)}{\sqrt{2}}\] |
| C. | \[\frac{n}{2}\left( \frac{(n+1)}{\sqrt{5}} \right)\] |
| D. | \[n(n+1)\sqrt{5}\] |
| Answer» B. \[\frac{n(n+1)}{\sqrt{2}}\] | |
| 4. |
In an arithmetic progression, if\[{{\text{t}}_{\text{p}}}\text{=q},{{\text{t}}_{\text{q}}}=\text{p},\]find \[{{\text{t}}_{\text{pq}}}\]. |
| A. | \[\text{p}+\text{q}-\text{pq}\] |
| B. | \[\text{p}+\text{q}\] |
| C. | \[~\text{p}-\text{q}+\text{pq}\] |
| D. | \[\text{pq}-\text{p}-\text{q}\] |
| Answer» B. \[\text{p}+\text{q}\] | |
| 5. |
If\[{{\text{1}}^{\text{3}}}+{{\text{2}}^{\text{3}}}+.....+{{\text{m}}^{\text{3}}}=\text{3}0\text{25}\], find m. |
| A. | 12 |
| B. | 10 |
| C. | 17 |
| D. | 12 |
| Answer» C. 17 | |
| 6. |
A roll of thread 907i cm long is cut into 5 parts to make up 5 circles as shown in the figure. The radii of the circles increase by 1 cm consecutively. Find the radius of the smallest circle. |
| A. | 7 cm |
| B. | 5 cm |
| C. | 6 cm |
| D. | 9 cm |
| Answer» B. 5 cm | |
| 7. |
A secondary school had an enrolment of 1620 students in the year 2009 which increases by 150 students per year. What was the enrolment in the year 2013? |
| A. | 2170 |
| B. | 2070 |
| C. | 2220 |
| D. | 2150 |
| Answer» D. 2150 | |
| 8. |
Find the sum of the arithmetic progression, \[x-2y,2x-y,3x......11x+8y\]. |
| A. | \[33(2x+y)\] |
| B. | \[22(2x+y)\] |
| C. | \[28(x+y)\] |
| D. | \[33x+11y\] |
| Answer» B. \[22(2x+y)\] | |
| 9. |
A manufacturer of laptop produced 6000 units in 3rd year and 7000 units in the 7th year. Assuming that production increases uniformly by a fixed number every year, find the production in the 5th year. |
| A. | 6500 units |
| B. | 5000 units |
| C. | 6000 units |
| D. | 8000 units |
| Answer» B. 5000 units | |
| 10. |
A circle with area \[{{A}_{1}}\] is contained in the interior of a larger circle with area \[{{A}_{1}}+{{A}_{2}}.\] If the radius of the larger circle is 3 units and \[{{A}_{1}},{{A}_{2}},{{A}_{1}}+{{A}_{2}}\]are in A.P., then the radius of the smaller circle is ___. |
| A. | \[\sqrt{2}\] units |
| B. | 1 unit |
| C. | 2 units |
| D. | \[\sqrt{3}\] units |
| Answer» E. | |
| 11. |
How many terms of the arithmetic progression 1, 9, 17, .... must be taken to give a sum of 1540? |
| A. | 10 |
| B. | 40 |
| C. | 20 |
| D. | 15 |
| Answer» D. 15 | |