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MCQOPTIONS
This section includes 65 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
\[\frac{1219}{1431},\]when reduced to its simplest form, by dividing the numerator and denominator by their H.C.F. is |
| A. | 33 |
| B. | 23 |
| C. | 47 |
| D. | 37 |
| Answer» C. 47 | |
| 2. |
The LCM of \[\frac{a}{b},\,\,\frac{c}{d},\,\,\frac{e}{f}\] is equal to |
| A. | \[\frac{L.C.M\text{ }of\text{ }a.c.e}{H.C.F\text{ }of\text{ }b.d.f}\] |
| B. | \[\frac{H.C.F\text{ }of\text{ }b.d.f}{L.C.M\text{ }of\text{ }a.c.e}\] |
| C. | \[\frac{H.C.F\text{ }of\text{ }a,c,e~}{H.C.F\text{ }of\text{ }b,d,f}\] |
| D. | \[\frac{ace}{bdf}\] |
| Answer» B. \[\frac{H.C.F\text{ }of\text{ }b.d.f}{L.C.M\text{ }of\text{ }a.c.e}\] | |
| 3. |
P is the largest factor of 48 and Q is its smallest multiple. Find the value of \[\text{2P + 3Q}\]. |
| A. | 240 |
| B. | 360 |
| C. | |
| D. | 480 |
| Answer» B. 360 | |
| 4. |
A set of warning lights flashes every 3 seconds, another set flashes every 5 seconds and third set flashes every 8 seconds. If they all flash together at 12: 00 noon, at what time will they flash together again? |
| A. | 12: 01 p.m. |
| B. | 12: 02 p.m. |
| C. | |
| D. | 12: 15 p.m. |
| Answer» C. | |
| 5. |
Given that (p + 3) is the highest common factor of 81 and 108, find the value of p. |
| A. | 6 |
| B. | 9 |
| C. | |
| D. | 24 |
| Answer» E. | |
| 6. |
The Fish Bowl store had a sale. During the sale, the store gave away two kinds of fish, i.e., gold fish and cat fish. * Every 5th customer received a free gold fish. * Every 12th customer received a free cat fish. There were 134 customers on the day of the sale. Estimate the number of customers who received both a free gold fish and a free cat fish? |
| A. | 2 |
| B. | 11 |
| C. | |
| D. | 37 |
| Answer» B. 11 | |
| 7. |
Which number can be divided into two equal groups with no remainder? |
| A. | 850 |
| B. | 493 |
| C. | |
| D. | 395 |
| Answer» B. 493 | |
| 8. |
Observe the figure given. Identify the missing numbers X and Y. |
| A. | \[\begin{align} & \text{X = 24} \\ & \text{Y = 26} \\ \end{align}\] |
| B. | \[\begin{align} & \text{X = 22} \\ & \text{Y = 24} \\ \end{align}\] |
| C. | |
| D. | \[\begin{align} & \text{X = 23} \\ & \text{Y = 25} \\ \end{align}\] |
| Answer» C. | |
| 9. |
Study the prime factorisation of X and Y given. \[\text{X = 2 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 5}\] \[\text{Y = 2 }\!\!\times\!\!\text{ 2 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 5 }\!\!\times\!\!\text{ 19}\] What is the place value of 8 in the sum of the numbers X and Y? |
| A. | \[\text{8 }\times \text{ 1000}\] |
| B. | \[\text{8 }\times \text{ 100}\] |
| C. | |
| D. | \[\text{8 }\times \text{ 1}\] |
| Answer» C. | |
| 10. |
A number X is exactly divisible by 6. What is the remainder when the same number is divided by 12? |
| A. | 0 |
| B. | 6 |
| C. | |
| D. | Neither (a) nor (b) |
| Answer» D. Neither (a) nor (b) | |
| 11. |
If \[x\]and \[y\]are two co-primes, then their LCM is |
| A. | \[xy\] |
| B. | \[x+y\] |
| C. | \[x\] |
| D. | \[1\] |
| Answer» B. \[x+y\] | |
| 12. |
The greatest common factor of 120 and 192 is |
| A. | 12 |
| B. | 2 |
| C. | 3 |
| D. | 24 |
| Answer» E. | |
| 13. |
LCM of two integers x and y is 311 what is the HCF of \[x\]and\[y\]? |
| A. | 37 |
| B. | 1 |
| C. | 3 |
| D. | Cannot be determine |
| Answer» C. 3 | |
| 14. |
A number N = 897324A64B is divided by both 8 and 9. Which of the following is the value of (A+B)? (i) 2 (ii) 11 (iii) 9 |
| A. | Either (i) or (ii) |
| B. | Either (ii) or (iii) |
| C. | Either (i) or (ii) or (iii) |
| D. | None of these |
| Answer» B. Either (ii) or (iii) | |
| 15. |
Three bells toll at intervals of 14, 21, and 42 min. respectively. If they toll together at \[10:22\] am. When will they toll together for the first time after that? |
| A. | \[11:56\,am\] |
| B. | \[12:04\,pm\] |
| C. | \[11:04\,am\] |
| D. | \[11:48\,am\] |
| Answer» D. \[11:48\,am\] | |
| 16. |
Find the number of factors\[{{21}^{3}}\times {{34}^{7}}\times {{46}^{8}}\times {{77}^{8}}=?\] |
| A. | 6, 718, 464 |
| B. | 60,418, 464 |
| C. | 70, 416, 246 |
| D. | 7, 842, 321 |
| Answer» B. 60,418, 464 | |
| 17. |
A number n has 10 factors. Now consider the following statements. (I) n can be a perfect square (II) n is divisible by three distinct primes Which of the above statement(s) is/ are true? |
| A. | Only I |
| B. | Only II |
| C. | Both I and II |
| D. | Neither I nor II |
| Answer» E. | |
| 18. |
A number n is divisible by only two primes. Also twice of the number is a perfect square while thrice of the number is a perfect cube. The number of factors of least possible value of n is |
| A. | 6 |
| B. | 8 |
| C. | 10 |
| D. | 12 |
| Answer» E. | |
| 19. |
The LCM of two prime numbers \[x\] and \[y\]\[(x>y)\] is 161. The value of \[3y-x\] is |
| A. | \[-2\] |
| B. | \[-1\] |
| C. | \[1\] |
| D. | \[2\] |
| Answer» B. \[-1\] | |
| 20. |
Consider the following statement I. N is divisible by 8 for any value of n II. N is divisible by 6 for any value of n. |
| A. | Only I |
| B. | Only II |
| C. | Both I and II |
| D. | Neither I nor II |
| Answer» D. Neither I nor II | |
| 21. |
The number \[N=112\times 3\times 2\]is divisible by 9. Now consider the following statements. I. N is divisible by 16 II. N is divisible by 11 Which of the above statement(s) is/are true for all possible values of\[x\]? |
| A. | Only I |
| B. | Only II |
| C. | Both I and II |
| D. | Neither I nor II |
| Answer» E. | |
| 22. |
a, b and c are natural numbers such that a, b are co-primes and b, c are twin primes. Now consider the following statements. I. a must be a prime II. a, c must be co-prime. Which of the above statement(s) is /are true? |
| A. | Only I |
| B. | Only II |
| C. | Both I and II |
| D. | Neither I nor II |
| Answer» E. | |
| 23. |
Study the numbers given in the box. Identify the number that is not a divisor of the given numbers. |
| A. | \[23\] |
| B. | \[24\] |
| C. | \[36\] |
| D. | \[12\] |
| Answer» B. \[24\] | |
| 24. |
Which of these is a common factor of 42 and 84? |
| A. | 13 |
| B. | 7 |
| C. | 28 |
| D. | 4 |
| Answer» C. 28 | |
| 25. |
What is the sum when 11 is added to the next prime number? |
| A. | 23 |
| B. | 13 |
| C. | 24 |
| D. | 25 |
| Answer» D. 25 | |
| 26. |
The figure given shows \[5\] numbers. Which of the \[5\] numbers are the prime factors of\[130\]? |
| A. | \[2\]and\[3\] |
| B. | \[10\]and\[13\] |
| C. | \[2\]and\[13\] |
| D. | \[3\]and\[10\] |
| Answer» D. \[3\]and\[10\] | |
| 27. |
Find a factor of the number shown on the spike abacus. |
| A. | 8 |
| B. | 7 |
| C. | 5 |
| D. | 9 |
| Answer» E. | |
| 28. |
\[17,\,\,19,\,\,\text{ }p,\,\,29,\,\,31,\,\,q,\,\,41\] is a list of prime numbers in ascending order. What is the value of\[q-p\]? |
| A. | \[60\] |
| B. | \[37\] |
| C. | \[23\] |
| D. | \[140\] |
| Answer» E. | |
| 29. |
What is the prime factorization of 24? |
| A. | \[\text{2}\times \text{3}\times \text{4}\] |
| B. | \[~\text{2}\times \text{2}\times \text{2 }\times \text{3}\] |
| C. | \[~\text{6}\times \text{4}\] |
| D. | \[\text{8}\times \text{3}\] |
| Answer» C. \[~\text{6}\times \text{4}\] | |
| 30. |
The quotient when a number is divided by \[5\] is\[6\]. What is the quotient when the same number is divided by\[30\]? |
| A. | \[1\] |
| B. | \[100\] |
| C. | \[10\] |
| D. | \[1000\] |
| Answer» B. \[100\] | |
| 31. |
What least number should be added to 56666888856598, such that the resulting number becomes a multiple of 4? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| E. | None of these |
| Answer» C. 3 | |
| 32. |
Which one of the following sets contains all the prime numbers between 1 to 20? |
| A. | {1, 2, 3, 5, 7, 9, 11, 17, 19} |
| B. | {2, 3, 5, 7, 11, 13, 17, 19} |
| C. | {2, 5, 7, 9, 11, 13, 17, 19} |
| D. | {3, 5, 7, 9, 11, 13, 17, 19} |
| E. | None of these |
| Answer» C. {2, 5, 7, 9, 11, 13, 17, 19} | |
| 33. |
Find the smallest number that is divisible by both 225 and 625. |
| A. | 5525 |
| B. | 5625 |
| C. | 3025 |
| D. | 7225 |
| E. | None of these |
| Answer» C. 3025 | |
| 34. |
What is the product of the common factors of 10 and 15? |
| A. | 6 |
| B. | 5 |
| C. | 150 |
| D. | 25 |
| Answer» C. 150 | |
| 35. |
Which number is a factor of 9? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| E. | None of these |
| Answer» C. 4 | |
| 36. |
Which number is a multiple of 6? |
| A. | 32 |
| B. | 45 |
| C. | 24 |
| D. | 20 |
| E. | None of these |
| Answer» D. 20 | |
| 37. |
Which number is a multiple of 7? |
| A. | 62 |
| B. | 24 |
| C. | 45 |
| D. | 49 |
| E. | None of these |
| Answer» E. None of these | |
| 38. |
A box had some pens in it. When the pens are distributed equally to \[18\] children, none remained but while distributing to \[19\] children, \[5\] children got \[1\] pen less than the others. How many pens were there in the box? |
| A. | \[70\] |
| B. | \[76\] |
| C. | \[90\] |
| D. | \[85\] |
| Answer» D. \[85\] | |
| 39. |
Which two numbers are factors of 44? |
| A. | 11 and 4 |
| B. | 11 and 3 |
| C. | 11 and 5 |
| D. | 12 and 3 |
| E. | None of these |
| Answer» B. 11 and 3 | |
| 40. |
Find the distinct prime factors of 144. |
| A. | 2 and 3 |
| B. | 2 and 5 |
| C. | 3 and 5 |
| D. | 5 and 7 |
| E. | None of these |
| Answer» B. 2 and 5 | |
| 41. |
Write 69 as the product of two or more primes. |
| A. | \[23\times 3\] |
| B. | \[23\times 6\] |
| C. | \[27\times 5\] |
| D. | \[21\times 5\] |
| E. | None of these |
| Answer» B. \[23\times 6\] | |
| 42. |
Find the missing number. Every prime number except ____ is odd. |
| A. | 1 |
| B. | 3 |
| C. | 2 |
| D. | 0 |
| Answer» D. 0 | |
| 43. |
Find the least \[4-\]digit number that is divisible by\[8\]. |
| A. | \[1000\] |
| B. | \[1008\] |
| C. | \[4000\] |
| D. | \[1016\] |
| Answer» B. \[1008\] | |
| 44. |
To find a multiple of 7546, by which one of the following numbers should 7546 be multiplied? |
| A. | 574 |
| B. | 643 |
| C. | 335 |
| D. | All of these |
| E. | None of these |
| Answer» E. None of these | |
| 45. |
Find the greatest number which divide 2808 and 2880 completely. |
| A. | 36 |
| B. | 52 |
| C. | 66 |
| D. | 72 |
| E. | None of these |
| Answer» E. None of these | |
| 46. |
What least number should be added to 153364 such that the sum become a multiple of 28? |
| A. | 8 |
| B. | 12 |
| C. | 16 |
| D. | 20 |
| E. | None of these |
| Answer» E. None of these | |
| 47. |
Which number should be subtracted from 642 to make it divisible by 8? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 640 |
| Answer» D. 640 | |
| 48. |
Find the least number which is completely divisible by both 56 and 63. |
| A. | 504 |
| B. | 209 |
| C. | 603 |
| D. | 412 |
| E. | None of these |
| Answer» B. 209 | |
| 49. |
How many prime numbers are there from \[50\] to\[100\]? |
| A. | \[18\] |
| B. | \[12\] |
| C. | \[10\] |
| D. | \[20\] |
| Answer» D. \[20\] | |
| 50. |
Product of two numbers is 54. If one of the numbers is 3, find the other number. |
| A. | 6 |
| B. | 9 |
| C. | 18 |
| D. | 54 |
| E. | None of these |
| Answer» D. 54 | |