MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 55 Mcqs, each offering curated multiple-choice questions to sharpen your Quantitative Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
7, 14, 21, 28 ..... the sum of the number series is 952, then the numbers in the series areA. 16B. 17C. 18D. 19 |
| A. | D |
| B. | B |
| C. | A |
| D. | C |
| Answer» D. C | |
| 2. |
Ms. Tina has 2 parents, 4 grand parents, 8 great grand parents and so on. Find the number of her ancestors during 10 (ten) generations preceeding her own. |
| A. | 1000 |
| B. | 2046 |
| C. | 11500 |
| D. | None of these |
| Answer» C. 11500 | |
| 3. |
If first and last terms of an arithmetic progression are 52 and 184 respectively and the sum of the progression is 1416, then find the common difference of the progression. |
| A. | 11 |
| B. | 12 |
| C. | 14 |
| D. | 10 |
| Answer» C. 14 | |
| 4. |
How many three digit numbers are divisible by 6? |
| A. | 196 |
| B. | 149 |
| C. | 150 |
| D. | 151 |
| Answer» D. 151 | |
| 5. |
Find the 15th term of the sequence 20, 15, 10, ..... |
| A. | -45 |
| B. | -55 |
| C. | -50 |
| D. | 0 |
| Answer» C. -50 | |
| 6. |
After striking the floor, a ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 meters. |
| A. | 540 mrts |
| B. | 960 mtrs |
| C. | 1080 mtrs |
| D. | 1120 mtrs |
| Answer» D. 1120 mtrs | |
| 7. |
If \(1^2 +2^2 +3^2 + ...+n^2 = \dfrac{n(n+1)(2n+1)}{6},\) find the value of \(5^2 +6^2 + 7^2 + ....+10^2.\) |
| A. | 330 |
| B. | 345 |
| C. | 355 |
| D. | 360 |
| Answer» D. 360 | |
| 8. |
If the sum of three consecutives multiples of 13 is 390. Then second multiple of 13 is - |
| A. | 117 |
| B. | 130 |
| C. | 143 |
| D. | 156 |
| Answer» C. 143 | |
| 9. |
\(a_1 = \frac{1}{2\times 5}, a_2=\frac{1}{5\times 8}, a_3=\frac{1}{8\times 11}\) then a1 + a2 + a3 + ..... a100 is |
| A. | 25/151 |
| B. | 1/2 |
| C. | 1/4 |
| D. | 111/55 |
| Answer» B. 1/2 | |
| 10. |
If in an arithmetic progression, a24 = 2 a10, then a72 = 2x, find the value of x. |
| A. | a35 |
| B. | a34 |
| C. | a54 |
| D. | a24 |
| Answer» C. a54 | |
| 11. |
If \(\frac{1}{{1 \times 2}} + \frac{1}{{2 \times 3}} + \frac{1}{{3 \times 4}} + \cdot \cdot \cdot + \frac{1}{{n(n + 1)}} = \frac{{99}}{{100}}\) then what is the value of n? |
| A. | 98 |
| B. | 99 |
| C. | 100 |
| D. | 101 |
| Answer» C. 100 | |
| 12. |
How many times the digit 5 will come in counting from 1 to 99 excluding those which are divisible by 3? |
| A. | 19 |
| B. | 20 |
| C. | 14 |
| D. | 13 |
| Answer» D. 13 | |
| 13. |
If the sum of five terms of an A.P is 75, then find the third term of the A.P? |
| A. | 25 |
| B. | 10 |
| C. | 20 |
| D. | 15 |
| Answer» E. | |
| 14. |
If the sum of the first three natural numbers from a group of six consecutive natural numbers is 36, then the sum of the last three natural numbers will be: |
| A. | 45 |
| B. | 52 |
| C. | 56 |
| D. | 55 |
| Answer» B. 52 | |
| 15. |
If \((1/2^1) + (1/2^2) + (1/2^3)....(1/2^{10})=1/k\), then what is the value of k? |
| A. | 512/511 |
| B. | 1024/1023 |
| C. | 511/212 |
| D. | 1023/1024 |
| Answer» C. 511/212 | |
| 16. |
Find the sum of the given series: 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 |
| A. | 9840 |
| B. | 9855 |
| C. | 7960 |
| D. | 8892 |
| Answer» B. 9855 | |
| 17. |
Let a1 , a2 ,........a3n be an arithmetic progression with a1 = 3 and a2 = 7. If a1 + a2 + ....+a3n = 1830, then what is the smallest positive integer m such that m (a1 + a2 + .... + an ) > 1830? |
| A. | 8 |
| B. | 9 |
| C. | 10 |
| D. | 11 |
| Answer» C. 10 | |
| 18. |
Find the sum of an A.P. 11,13,15,_______99. |
| A. | 1850 |
| B. | 1122 |
| C. | 2475 |
| D. | 2500 |
| Answer» D. 2500 | |
| 19. |
For two observations, the sum is S and product is P. What is the harmonic mean of these two observations? |
| A. | \(\frac{2S}{P}\) |
| B. | \(\frac{S}{(2P)}\) |
| C. | \(\frac{2P}{S}\) |
| D. | \(\frac{P}{(2S)}\) |
| Answer» D. \(\frac{P}{(2S)}\) | |
| 20. |
Consider the following question and decide which of the statements is sufficient to answer the question. Question:Find the total sum of first ‘n’ natural numbers Statements:I. \({s_n} = \frac{{n\left( {n + 1} \right)}}{2},\) where n = 50 II. In the given numbers, some are even and some are odd. |
| A. | Only statement I is sufficient |
| B. | Both statements I and II are sufficient |
| C. | Only statement II is sufficient |
| D. | Either statement I or II is sufficient |
| Answer» B. Both statements I and II are sufficient | |
| 21. |
If \(S = \sum^{10}_{n=1}(2n + \frac{1}{2})\), then S is |
| A. | 55 |
| B. | 56 |
| C. | 111 |
| D. | 115 |
| E. | 110 |
| Answer» E. 110 | |
| 22. |
If the 7th term of an arithmetic progression is 1/9 and its 9th term is 1/7, then its 63rd terms is: |
| A. | 2 |
| B. | 1 |
| C. | 8 |
| D. | 3 |
| Answer» C. 8 | |
| 23. |
If n be a positive integer. If the coefficient of 2nd, 3rd, 4th terms in the expansion of (1 + x)n are in A. P. Then the value of n is: |
| A. | 9 |
| B. | 5 |
| C. | 8 |
| D. | 7 |
| Answer» E. | |
| 24. |
If \(S = \sum^{15}_{n=1} \left( n + \frac 1 3 \right)\) then the value of S is |
| A. | 125 |
| B. | \(120 + \frac 1 3\) |
| C. | \(135 + \frac 1 3\) |
| D. | 130 |
| E. | None of the above / More than one of the above |
| Answer» B. \(120 + \frac 1 3\) | |
| 25. |
Let the m-th and n-th terms of a geometric progression be 3/4 and 12, respectively, where m < n. If the common ratio of the progression is an integer r, then the smallest possible value of r + n - m is |
| A. | -2 |
| B. | 6 |
| C. | 2 |
| D. | -4 |
| Answer» B. 6 | |
| 26. |
Find the 9th term of the series: 4, 7, 10, 13… |
| A. | 31 |
| B. | 24 |
| C. | 25 |
| D. | 28 |
| Answer» E. | |
| 27. |
For which value of k; the series 2, 3 + k and 6 are in A.P.? |
| A. | 4 |
| B. | 3 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 28. |
In the Fibonacci series each number is defined as Fn = Fn - 1 + Fn - 2. If the first two numbers in the sequence are 0 and 1 i.e. F0 = 0 and F1 = 1, then find out the 10th number in the sequence? |
| A. | 22 |
| B. | 55 |
| C. | 34 |
| D. | 57 |
| Answer» D. 57 | |
| 29. |
Find the sum of 6 + 8 + 10 + 12 + 14 __________ + 40. |
| A. | 424 |
| B. | 400 |
| C. | 1600 |
| D. | 414 |
| Answer» E. | |
| 30. |
Let x, y, z be three positive real numbers in a geometric progression such that x < y < z. If 5x, 16y, and 12z are in an arithmetic progression then the common ratio of the geometric progression is |
| A. | 1/6 |
| B. | 3/2 |
| C. | 5/2 |
| D. | 3/6 |
| Answer» D. 3/6 | |
| 31. |
Complete the series :125, 375, 377, 1131, 1133, _____ |
| A. | 3399 |
| B. | 1136 |
| C. | 1399 |
| D. | 9933 |
| Answer» B. 1136 | |
| 32. |
How many numbers between 11 and 90 are divisible by 7? |
| A. | 10 |
| B. | 9 |
| C. | 13 |
| D. | 12 |
| E. | 11 |
| Answer» F. | |
| 33. |
Find the value of 6 + 11 + 16 + 21 + … + 71.A. 539B. 561C. 661D. 639 |
| A. | A |
| B. | D |
| C. | B |
| D. | C |
| Answer» B. D | |
| 34. |
In an arithmetic progression the common difference is twice the first term, and the sum of the first twenty terms is 400. Find the common difference. |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 1 |
| Answer» B. 3 | |
| 35. |
A clock strikes one at 1 o' clock, twice at 2 o'clock _______ twelve times at 12 o'clock.How many times will the bell strike in course of 2 days? |
| A. | 78 |
| B. | 264 |
| C. | 312 |
| D. | 444 |
| Answer» D. 444 | |
| 36. |
Find the 15th term of the series 5, 10, 15, 20, …? |
| A. | 70 |
| B. | 75 |
| C. | 80 |
| D. | None of these |
| Answer» C. 80 | |
| 37. |
Find the sum of the series: 1 + 2 + 3 + 4 + 5 + ... + 89 + 90 |
| A. | 4095 |
| B. | 3868 |
| C. | 3260 |
| D. | 4325 |
| Answer» B. 3868 | |
| 38. |
A car starts with a speed of 60 km/h with its speed increasing every one hour by 5 km/h. In how many hours will it cover 435 kms? |
| A. | 4 hrs |
| B. | 6 hrs |
| C. | 7 hrs |
| D. | 5 hrs |
| Answer» C. 7 hrs | |
| 39. |
If the ratio of the sums of first p terms and q terms of an arithmetic progression is p2 : q2, then the ratio of its pth and qth terms is: |
| A. | (p + 1) : (q + 1) |
| B. | p : q |
| C. | (2p + 1) : (2q + 1) |
| D. | (2p – 1) : (2q – 1) |
| Answer» E. | |
| 40. |
11th term of the series √3, √12, √27, √48, ... is |
| A. | 5√3 |
| B. | 15√3 |
| C. | 11√3 |
| D. | 6√3 |
| Answer» D. 6√3 | |
| 41. |
An arithmetic progression has 5 as its first term and the last term is 60. If the sum of the terms is 195, then the common difference is: |
| A. | 11 |
| B. | 9 |
| C. | 7 |
| D. | 12 |
| Answer» B. 9 | |
| 42. |
If G is the G.M. of the product of r sets of observations. With geometric means G1, G2, G3, ……………, Gr respectively, then find the value of G? |
| A. | logG1 + logG2 + … logGr |
| B. | G1. G2 …… Gr |
| C. | G1 + G2 + ….. + Gr |
| D. | logG1. logG2 ….. logGr |
| Answer» C. G1 + G2 + ….. + Gr | |
| 43. |
If the 10th term is 5 and the 18th term is 77, then what is the arithmetic progression? |
| A. | -76, -68, -60, ….. |
| B. | -77, -68, -59, ….. |
| C. | 76, 85, 94, …… |
| D. | -76, -67, -58 …… |
| Answer» E. | |
| 44. |
Find the sum of the following series (with infinite terms) :\(2\sqrt2, \dfrac{4}{\sqrt 3}, \dfrac{4 \sqrt 2}{3}....\) |
| A. | 2√3(√3 + √2) |
| B. | 2√3(√3 - √2) |
| C. | 2√6(√3 + √2) |
| D. | 2√6(√3 - √2) |
| Answer» D. 2√6(√3 - √2) | |
| 45. |
A sum of Rs. 2,600 is divided amongst P, Q, R, S such that \(\frac{{P's\;share}}{{Q's\;share}} = \frac{{Q's\;share}}{{R'sshare}} = \frac{{R's\;share}}{{S'sshare\;}} = \frac{2}{3}\)Then P's share is |
| A. | Rs. 1000 |
| B. | Rs. 1020 |
| C. | Rs. 1040 |
| D. | Rs. 1080 |
| Answer» E. | |
| 46. |
If Sn = n(4n + 1), then the arithmetic progression is: |
| A. | 5, 12, 20, 28, 36, …. |
| B. | 5, 13, 21, 29, 37, …. |
| C. | 5, 10, 15, 20, 25, …. |
| D. | 5, 14, 22, 30, 38, …. |
| Answer» C. 5, 10, 15, 20, 25, …. | |
| 47. |
Let a1 , a2, ... , a52 be positive integers such that a1 < a2 < ... < a52 . Suppose, their arithmetic mean is one less than the arithmetic mean of a2 , a3 , ..., a52 . If a52 = 100, then the largest possible value of a1 is |
| A. | 20 |
| B. | 23 |
| C. | 45 |
| D. | 48 |
| Answer» C. 45 | |
| 48. |
If the square of the 7th term of an arithmetic progression with positive common difference equals the product of the 3rd and 17th terms, then the ratio of the first term to the common difference is |
| A. | 2 : 3 |
| B. | 3 : 2 |
| C. | 3 : 4 |
| D. | 4 : 3 |
| Answer» B. 3 : 2 | |
| 49. |
If a, b, c are in arithmetic progression then: |
| A. | 2a = b + c |
| B. | 2c = a + b |
| C. | 3b = 2a + 3c |
| D. | 2b = a + c |
| Answer» E. | |
| 50. |
An infinite geometric progression a1 , a2 , a3 ,... has the property that an = 3(an+ l + an+2 +….) for every n ≥ 1. If the sum a1 + a2 + a3 +….... = 32, then a5 is |
| A. | 1/32 |
| B. | 2/32 |
| C. | 3/32 |
| D. | 4/32 |
| Answer» D. 4/32 | |