MCQOPTIONS
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MCQOPTIONS
This section includes 62 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If a rubber ball consistently bounces back $$\frac{{2}}{{3}}$$ of the height from which it is dropped, what fraction of its original height will the ball bounce after being dropped and bounced four times without being stopped? |
| A. | $\frac{{16}}{{81}}$$ |
| B. | $\frac{{16}}{{27}}$$ |
| C. | $\frac{{4}}{{9}}$$ |
| D. | $\frac{{37}}{{81}}$$ |
| Answer» B. $\frac{{16}}{{27}}$$ | |
| 2. |
The sum of the three numbers in A.P is 21 and the product of the first and third number of the sequence is 45. What are the three numbers? |
| A. | , 7 and 9 |
| B. | , 7 and 5 |
| C. | , 7 and 11 |
| D. | oth (A) and (B) |
| Answer» E. | |
| 3. |
Given A = 265 and B = (264 + 263 + 262 + ..... +20), which of the following is true? |
| A. | is 264 larger than A |
| B. | and B are equal |
| C. | is larger than A by 1 |
| D. | is larger than B by 1 |
| Answer» E. | |
| 4. |
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3? |
| A. | 97 |
| B. | ,64,850 |
| C. | ,64,749 |
| D. | ,49,700 |
| Answer» C. ,64,749 | |
| 5. |
How many 2-digit positive integers are divisible by 4 or 9? |
| A. | 2 |
| B. | 2 |
| C. | 0 |
| D. | 4 |
| Answer» D. 4 | |
| 6. |
The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression. |
| A. | 4 |
| B. | 2 |
| C. | 9 |
| D. | 6 |
| Answer» B. 2 | |
| 7. |
The next term of the A.P., $$\sqrt 7 ,$$ $$\sqrt {28} ,$$ $$\sqrt {63} ,$$ . . . . . . |
| A. | $\sqrt {70} ,$$ |
| B. | $\sqrt {84} ,$$ |
| C. | $\sqrt {97} ,$$ |
| D. | $\sqrt {112} ,$$ |
| Answer» E. | |
| 8. |
The sum of first 20 odd natural numbers is |
| A. | 00 |
| B. | 10 |
| C. | 00 |
| D. | 20 |
| Answer» D. 20 | |
| 9. |
The sum of n terms of two A.P.’s are in the ratio 5n + 4 : 9n + 6. Then, the ratio of their 18th term is |
| A. | $\frac{{179}}{{321}}$$ |
| B. | $\frac{{178}}{{321}}$$ |
| C. | $\frac{{175}}{{321}}$$ |
| D. | $\frac{{176}}{{321}}$$ |
| Answer» B. $\frac{{178}}{{321}}$$ | |
| 10. |
If Sn denote the sum of n terms of an A.P. with first term a and common difference d such that $$\frac{{{S_x}}}{{{S_{kx}}}}$$ is independent of x, then |
| A. | = a |
| B. | = 2a |
| C. | = 2d |
| D. | = -a |
| Answer» C. = 2d | |
| 11. |
The 9th term of an A.P. is 449 and 449th term is 9. The term which is equal to zero is |
| A. | 0th |
| B. | 02th |
| C. | 08th |
| D. | one of these |
| Answer» E. | |
| 12. |
If the sum of first n even natural number is equal to k times the sum of first n odd natural numbers, then k = |
| A. | $\frac{1}{n}$$ |
| B. | $\frac{{n - 1}}{n}$$ |
| C. | $\frac{{n + 1}}{{2n}}$$ |
| D. | $\frac{{n + 1}}{n}$$ |
| Answer» E. | |
| 13. |
If the sum of it terms of an A.P. is 2n2 + 5n, then its nth term is |
| A. | n - 3 |
| B. | n - 4 |
| C. | n + 3 |
| D. | n + 4 |
| Answer» D. n + 4 | |
| 14. |
If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is |
| A. | 7 |
| B. | 8 |
| C. | 9 |
| D. | 0 |
| Answer» D. 0 | |
| 15. |
If the first term of an A.P. is a and nth term is b, then its common difference is |
| A. | $\frac{{b - a}}{{n + 1}}$$ |
| B. | $\frac{{b - a}}{{n - 1}}$$ |
| C. | $\frac{{b - a}}{n}$$ |
| D. | $\frac{{b + a}}{{n - 1}}$$ |
| Answer» C. $\frac{{b - a}}{n}$$ | |
| 16. |
If the sum of n terms of an A.P. is 3n2 + 5n then which of its terms is 164 ? |
| A. | 6th |
| B. | 7th |
| C. | 8th |
| D. | one of these |
| Answer» C. 8th | |
| 17. |
What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2? |
| A. | 0,050 |
| B. | 050 |
| C. | 000 |
| D. | 0,000 |
| Answer» E. | |
| 18. |
What is the sum of the following series? -64, -66, -68, ......, -100 |
| A. | 1458 |
| B. | 1558 |
| C. | 1568 |
| D. | 1664 |
| Answer» C. 1568 | |
| 19. |
A piece of equipment cost a certain factory6,00,000. If it depreciates in value, 15% the first year, 13.5% the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost? |
| A. | s. 2,00,000 |
| B. | s. 1,05,000 |
| C. | s. 4,05,000 |
| D. | s. 6,50,000 |
| Answer» C. s. 4,05,000 | |
| 20. |
Which term of the A.P. 92, 88, 84, 80, ...... is 0? |
| A. | 3 |
| B. | 2 |
| C. | 2 |
| D. | 4 |
| Answer» E. | |
| 21. |
(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ...... |
| A. | $\frac{{n\left( {n + 1} \right)}}{2}$$ |
| B. | $\frac{{n\left( {n - 1} \right)}}{2}$$ |
| C. | ${n^2}$$ |
| D. | $n$$ |
| Answer» C. ${n^2}$$ | |
| 22. |
The sum of first five multiples of 3 is: |
| A. | 5 |
| B. | 5 |
| C. | 5 |
| D. | 0 |
| Answer» B. 5 | |
| 23. |
If an A.P. has a = 1, tn = 20 and sn = 399, then value of n is : |
| A. | 0 |
| B. | 2 |
| C. | 8 |
| D. | 0 |
| Answer» D. 0 | |
| 24. |
15th term of A.P., x - 7, x - 2, x + 3, ........ is |
| A. | + 63 |
| B. | + 73 |
| C. | + 83 |
| D. | + 53 |
| Answer» B. + 73 | |
| 25. |
Which term of the A.P. 24, 21, 18, ............ is the first negative term? |
| A. | th |
| B. | th |
| C. | 0th |
| D. | 2th |
| Answer» D. 2th | |
| 26. |
The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term? |
| A. | 5 |
| B. | 9 |
| C. | 1 |
| D. | 3 |
| Answer» D. 3 | |
| 27. |
The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term? |
| A. | 4 |
| B. | 8 |
| C. | 5 |
| D. | 1 |
| Answer» E. | |
| 28. |
What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is -1 and the 8th term is 19? |
| A. | 04 |
| B. | 21 |
| C. | 25 |
| D. | 04 |
| Answer» C. 25 | |
| 29. |
The 3rd and 8th term of an arithmetic progression are -13 and 2 respectively. What is the 14th term? |
| A. | 3 |
| B. | 7 |
| C. | 0 |
| D. | 6 |
| Answer» D. 6 | |
| 30. |
The 4th and 7th term of an arithmetic progression are 11 and -4 respectively. What is the 15th term? |
| A. | 49 |
| B. | 44 |
| C. | 39 |
| D. | 34 |
| Answer» C. 39 | |
| 31. |
Find the nth term of the following sequence :5 + 55 + 555 + . . . . Tn |
| A. | (10n - 1) |
| B. | n(10n - 1) |
| C. | $\frac{5}{9} \times \left( {{{10}^n} - 1} \right)$$ |
| D. | ${\left( {\frac{5}{9}} \right)^n} \times \left( {{{10}^n} - 1} \right)$$ |
| Answer» D. ${\left( {\frac{5}{9}} \right)^n} \times \left( {{{10}^n} - 1} \right)$$ | |
| 32. |
A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. Ifa side of the first square is 4 cm, determine the sum of the areas all the square. |
| A. | 2 Cm2 |
| B. | 6 Cm2 |
| C. | 0 Cm2 |
| D. | 4 Cm2 |
| E. | one of these |
| Answer» B. 6 Cm2 | |
| 33. |
The 7th and 21st terms of an AP are 6 and -22 respectively. Find the 26th term |
| A. | 34 |
| B. | 32 |
| C. | 12 |
| D. | 10 |
| E. | 16 |
| Answer» C. 12 | |
| 34. |
If the first, second and last term of an A.P. are a, b and 2a respectively, its sum is |
| A. | $\frac{{ab}}{{2\left( {b - a} \right)}}$$ |
| B. | $\frac{{ab}}{{b - a}}$$ |
| C. | $\frac{{3ab}}{{2\left( {b - a} \right)}}$$ |
| D. | one of these |
| Answer» D. one of these | |
| 35. |
The common difference of the A.P. $$\frac{1}{3},$$ $$\frac{{1 - 3b}}{3},$$$$\frac{{1 - 6b}}{3},$$. . . . . .is |
| A. | $\frac{1}{3}$$ |
| B. | $ - \frac{1}{3}$$ |
| C. | $ - b$$ |
| D. | $b$$ |
| Answer» D. $b$$ | |
| 36. |
The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its |
| A. | 4th term |
| B. | 7th term |
| C. | 6th term |
| D. | 5th term |
| Answer» C. 6th term | |
| 37. |
The sum of first n odd natural numbers in |
| A. | n - 1 |
| B. | n + 1 |
| C. | 2 |
| D. | 2 - 1 |
| Answer» D. 2 - 1 | |
| 38. |
The nth term of an A.P., the sum of whose n terms is Sn, is |
| A. | n + Sn - 1 |
| B. | n - Sn - 1 |
| C. | n + Sn + 1 |
| D. | n - Sn + 1 |
| Answer» C. n + Sn + 1 | |
| 39. |
If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is |
| A. | 200 |
| B. | 600 |
| C. | 00 |
| D. | 800 |
| Answer» B. 600 | |
| 40. |
If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then $$\frac{{{S_1}}}{{{S_2}}}$$ |
| A. | $\frac{{2n}}{{n + 1}}$$ |
| B. | $\frac{n}{{n + 1}}$$ |
| C. | $\frac{{n + 1}}{{2n}}$$ |
| D. | $\frac{{n - 1}}{n}$$ |
| Answer» B. $\frac{n}{{n + 1}}$$ | |
| 41. |
If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are |
| A. | , 10, 15, 20 |
| B. | , 10, 16, 22 |
| C. | , 7, 11, 15 |
| D. | one of these |
| Answer» B. , 10, 16, 22 | |
| 42. |
If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is |
| A. | (n - 2) |
| B. | (n + 2) |
| C. | (n + 1) |
| D. | (n - 1) |
| Answer» C. (n + 1) | |
| 43. |
The common difference of an A.P., the sum of whose n terms is Sn, is |
| A. | n - 2Sn - 1 + Sn - 2 |
| B. | n - 2Sn - 1 - Sn - 2 |
| C. | n - Sn - 2 |
| D. | n - Sn - 1 |
| Answer» B. n - 2Sn - 1 - Sn - 2 | |
| 44. |
If in an A.P., Sn = n2p and Sm = m2p, where S denotes the sum of r terms of the A.P., then Sp is equal to |
| A. | $\frac{1}{2}{p^3}$$ |
| B. | np |
| C. | 3 |
| D. | m + n)p2 |
| Answer» D. m + n)p2 | |
| 45. |
If 18th and 11th term of an A.P. are in the ratio 3 : 2, then its 21st and 5th terms are in the ratio |
| A. | : 2 |
| B. | : 1 |
| C. | : 3 |
| D. | : 3 |
| Answer» C. : 3 | |
| 46. |
If the sums of n terms of two arithmetic progressions are in the ration $$\frac{{3n + 5}}{{5n + 7}},$$then their nth terms are in the ration |
| A. | $\frac{{3n - 1}}{{5n - 1}}$$ |
| B. | $\frac{{3n + 1}}{{5n + 1}}$$ |
| C. | $\frac{{5n + 1}}{{3n + 1}}$$ |
| D. | $\frac{{5n - 1}}{{3n - 1}}$$ |
| Answer» C. $\frac{{5n + 1}}{{3n + 1}}$$ | |
| 47. |
Sum of n terms of the series $$\sqrt 2 $$$$ + $$$$\sqrt 8 $$$$ + $$$$\sqrt {18} $$$$ + $$$$\sqrt {32} $$$$ + $$....... is |
| A. | $\frac{{n\left( {n + 1} \right)}}{2}$$ |
| B. | $2n\left( {n + 1} \right)$$ |
| C. | $\frac{{n\left( {n + 1} \right)}}{{\sqrt 2 }}$$ |
| D. | $1$$ |
| Answer» D. $1$$ | |
| 48. |
Find the 15th term of the sequence 20, 15, 10 . . . . . |
| A. | 45 |
| B. | 55 |
| C. | 50 |
| Answer» D. | |
| 49. |
How many terms are there in 20, 25, 30 . . . . . . 140? |
| A. | 2 |
| B. | 5 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 50. |
Find the nth term of the following sequence :5 + 55 +555 + . . . . Tn%! |
| A. | 5(10n - 1) |
| B. | 5n(10n - 1) |
| C. | (5/9)*(10n - 1) |
| D. | (5/9)n *10n - 1) |
| Answer» D. (5/9)n *10n - 1) | |