MCQOPTIONS
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MCQOPTIONS
This section includes 21 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If A, G, H are arithmetic, geometric and harmonic means between a and b respectively, then A,G,H are |
| A. | in G.P |
| B. | in A.P |
| C. | in H.P |
| D. | Real numbers |
| Answer» B. in A.P | |
| 2. |
G1,G2,…,Gn are said to be n geometric means between a and b if a,G1,…Gn,b is |
| A. | a sequence |
| B. | not a sequence |
| C. | G.P |
| D. | A.P |
| Answer» D. A.P | |
| 3. |
If a,d and Sn are first term, common difference and sum of first nth terms of series, then Sb = |
| A. | n/2[2a+(n-1)d] |
| B. | n/2[a+(n-1)d] |
| C. | n/[2a+(n-1)d] |
| D. | a+(n-1)d |
| Answer» B. n/2[a+(n-1)d] | |
| 4. |
If a = 3, r = 2, then nth term of G.P is |
| A. | 2.3n-1 |
| B. | 3.2n |
| C. | 3.2n+1 |
| D. | 3.2n-1 |
| Answer» E. | |
| 5. |
Sum of n terms of G.P is |
| A. | n/2[2a+(n-1)d] |
| B. | a(1-rn)/(1-r) |
| C. | 2ab/(a+b) |
| D. | a+b/2 |
| Answer» C. 2ab/(a+b) | |
| 6. |
5th term of G.P 3,6,12,… is |
| A. | 15 |
| B. | 48 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 7. |
If the first term of an AP is 2 and common difference is 4, then sum of its first 40 terms is |
| A. | 2800 |
| B. | 3000 |
| C. | 3200 |
| D. | 1600 |
| Answer» D. 1600 | |
| 8. |
In a certain AP, 5 times the 5th term is equal to 8 times the 8th term, then its 13th term is equal to |
| A. | 5 |
| B. | 1 |
| C. | 0 |
| D. | 13 |
| Answer» D. 13 | |
| 9. |
A number 15 is divided into three parts which are in AP and sum of their squares is 83. The smallest part is |
| A. | 5 |
| B. | 3 |
| C. | 6 |
| D. | 2 |
| Answer» C. 6 | |
| 10. |
The sum of the first four terms of an AP is 28 and sum of the first eight terms of the same AP is 88. Sum of first 16 terms of the AP is |
| A. | 346 |
| B. | 340 |
| C. | 304 |
| D. | 268 |
| Answer» D. 268 | |
| 11. |
An AP consist of 31 terms if its 16th term is m, then sum of all the terms of this AP is |
| A. | 16 m |
| B. | 47 m |
| C. | 31 m |
| D. | 52 m |
| Answer» D. 52 m | |
| 12. |
The sum of the first ten terms of an AP is four times the sum of the first five terms, then the ratio of the first term to the common difference is |
| A. | 1/2 |
| B. | 2 |
| C. | 1/4 |
| D. | 4 |
| Answer» B. 2 | |
| 13. |
25 trees are planted in a straight line 5 metres apart from each other. To water them the gardener must bring water for each tree separately from a well 10 metres from the first tree in line with the trees. How far will he move in order to water all the trees beginning with the first if he starts from the well ? |
| A. | 3375 metres |
| B. | 3380 metres |
| C. | 3360 metres |
| D. | 3370 metres |
| Answer» E. | |
| 14. |
The sum of 5 numbers in AP is 30 and sum of their squares is 220. Which of the following is the third term ? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» C. 7 | |
| 15. |
If the third term of an AP is 12 and the seventh term is 24, then the 10th term is |
| A. | 34 |
| B. | 35 |
| C. | 36 |
| D. | 33 |
| Answer» E. | |
| 16. |
If the roots of the equation (b - c)x2 + (c - a)x + (a-b) = 0 are equal, then |
| A. | 2b = a + c |
| B. | a = b = c |
| C. | b2 = ac |
| D. | none of these |
| Answer» B. a = b = c | |
| 17. |
A.P whose nth term is 2n-1 is |
| A. | 1,3,6,… |
| B. | 2,3,5,… |
| C. | 1,3,5,… |
| D. | 5,3,1,… |
| Answer» D. 5,3,1,… | |
| 18. |
1,8,15,22,29,36,… is |
| A. | G.P |
| B. | A.P |
| C. | Geometric series |
| D. | arithmetic series |
| Answer» C. Geometric series | |
| 19. |
Second term of sequence with general term n2 - 4/2 is |
| A. | 3 |
| B. | -3 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 20. |
2,4,6,8,10,12,… is |
| A. | G.P |
| B. | A.P |
| C. | Geometric series |
| D. | arithmetic series |
| Answer» C. Geometric series | |
| 21. |
Common difference of sequence 5,8,11,14,… is |
| A. | 3 |
| B. | -3 |
| C. | 0 |
| D. | 1 |
| Answer» B. -3 | |