MCQOPTIONS
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MCQOPTIONS
This section includes 175 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of the following numbers will completely divide (3^25 + 3^26 + 3^27 + 3^28) ? |
| A. | 11 |
| B. | 16 |
| C. | 25 |
| D. | 30 |
| Answer» E. | |
| 2. |
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ? |
| A. | 339 |
| B. | 349 |
| C. | 369 |
| D. | Data inadequate |
| Answer» C. 369 | |
| 3. |
If (64)^2 - (36)^2 = 20 * x, then x = ? |
| A. | 70 |
| B. | 120 |
| C. | 180 |
| D. | 140 |
| Answer» E. | |
| 4. |
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ? |
| A. | 0 |
| B. | 12 |
| C. | 13 |
| D. | 20 |
| Answer» E. | |
| 5. |
(1000)^9 ÷ 10^(24) = ? |
| A. | 10000 |
| B. | 1000 |
| C. | 100 |
| D. | 10 |
| Answer» C. 100 | |
| 6. |
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is: |
| A. | 20 |
| B. | 23 |
| C. | 169 |
| D. | None of these |
| Answer» C. 169 | |
| 7. |
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is: |
| A. | 20 |
| B. | 30 |
| C. | 40 |
| D. | None of these |
| Answer» B. 30 | |
| 8. |
Find the odd man out:331, 482, 551, 263, 383, 362, 284 |
| A. | 263 |
| B. | 383 |
| C. | 331 |
| D. | 551 |
| Answer» C. 331 | |
| 9. |
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: |
| A. | 24 |
| B. | 26 |
| C. | 42 |
| D. | 46 |
| Answer» B. 26 | |
| 10. |
(x^n - a^n) is completely divisible by (x - a), when |
| A. | n is any natural number |
| B. | n is an even natural number |
| C. | n is and odd natural number |
| D. | n is prime |
| Answer» B. n is an even natural number | |
| 11. |
What is the unit digit in(7^95 - 3^58)? |
| A. | 0 |
| B. | 4 |
| C. | 6 |
| D. | 7 |
| Answer» C. 6 | |
| 12. |
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ? |
| A. | 12/35 |
| B. | 1/35 |
| C. | 35/8 |
| D. | 7/32 |
| Answer» B. 1/35 | |
| 13. |
7589 - ? = 3434 |
| A. | 4242 |
| B. | 4155 |
| C. | 1123 |
| D. | 11023 |
| Answer» C. 1123 | |
| 14. |
2056 x 987 = ? |
| A. | 1936372 |
| B. | 2029272 |
| C. | 1896172 |
| D. | 1926172 |
| Answer» C. 1896172 | |
| 15. |
{(476 + 424)^2 - 4 x 476 x 424} = ? |
| A. | 2906 |
| B. | 3116 |
| C. | 2704 |
| D. | 2904 |
| Answer» D. 2904 | |
| 16. |
Which one of the following can't be the square of natural number ? |
| A. | 32761 |
| B. | 81225 |
| C. | 42437 |
| D. | 20164 |
| Answer» D. 20164 | |
| 17. |
Find the odd man out:41, 43, 47, 53, 61, 71, 73, 81 |
| A. | 61 |
| B. | 71 |
| C. | 73 |
| D. | 81 |
| Answer» E. | |
| 18. |
The smallest 5 digit number exactly divisible by 41 is: |
| A. | 1004 |
| B. | 10004 |
| C. | 10045 |
| D. | 10025 |
| Answer» C. 10045 | |
| 19. |
Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ? |
| A. | 639 |
| B. | 2079 |
| C. | 3791 |
| D. | 37911 |
| Answer» C. 3791 | |
| 20. |
3251 + 587 + 369 - ? = 3007 |
| A. | 1250 |
| B. | 1300 |
| C. | 1375 |
| D. | 1200 |
| Answer» E. | |
| 21. |
If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ? |
| A. | 2 or 6 |
| B. | 4 |
| C. | 4 or 8 |
| D. | 8 |
| Answer» B. 4 | |
| 22. |
The sum of even numbers between 1 and 31 is: |
| A. | 6 |
| B. | 28 |
| C. | 240 |
| D. | 512 |
| Answer» D. 512 | |
| 23. |
The difference between the place values of two sevens in the numeral 69758472 is |
| A. | 0 |
| B. | 6993 |
| C. | 699930 |
| D. | None of these |
| Answer» D. None of these | |
| 24. |
587 x 999 = ? |
| A. | 586413 |
| B. | 587523 |
| C. | 614823 |
| D. | 615173 |
| Answer» B. 587523 | |
| 25. |
The smallest 6 digit number exactly divisible by 111 is: |
| A. | 111111 |
| B. | 110011 |
| C. | 100011 |
| D. | 110101 |
| Answer» D. 110101 | |
| 26. |
A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is: |
| A. | 214 |
| B. | 476 |
| C. | 954 |
| D. | 1908 |
| Answer» B. 476 | |
| 27. |
The sum of two number is 25 and their difference is 13. Find their product. |
| A. | 104 |
| B. | 114 |
| C. | 315 |
| D. | 325 |
| Answer» C. 315 | |
| 28. |
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number? |
| A. | 69 |
| B. | 78 |
| C. | 96 |
| D. | Cannot be determined |
| Answer» E. | |
| 29. |
3897 x 999 = ? |
| A. | 3883203 |
| B. | 3893103 |
| C. | 3639403 |
| D. | 3791203 |
| Answer» C. 3639403 | |
| 30. |
How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | None of these |
| Answer» E. | |
| 31. |
The difference of the squares of two consecutive even integers is divisible by which of the following integers ? |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | 7 |
| Answer» C. 6 | |
| 32. |
Find the odd man out:10, 14, 16, 18, 21, 24, 26 |
| A. | 26 |
| B. | 24 |
| C. | 21 |
| D. | 18 |
| Answer» D. 18 | |
| 33. |
Find the odd man out:6, 9, 15, 21, 24, 28, 30 |
| A. | 28 |
| B. | 21 |
| C. | 24 |
| D. | 30 |
| Answer» B. 21 | |
| 34. |
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ? |
| A. | 4 |
| B. | 8 |
| C. | 16 |
| D. | None of these |
| Answer» C. 16 | |
| 35. |
(2^2 + 4^2 + 6^2 + ... + 20^2) = ? |
| A. | 770 |
| B. | 1155 |
| C. | 1540 |
| D. | 385 x 385 |
| Answer» D. 385 x 385 | |
| 36. |
Find the odd man out:16, 25, 36, 72, 144, 196, 225 |
| A. | 36 |
| B. | 72 |
| C. | 196 |
| D. | 225 |
| Answer» C. 196 | |
| 37. |
Find the odd man out:1, 4, 9, 16, 20, 36, 49 |
| A. | 1 |
| B. | 9 |
| C. | 20 |
| D. | 49 |
| Answer» D. 49 | |
| 38. |
What is the unit digit in the product (3^65 x 6^59 x 7^71)? |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 6 |
| Answer» D. 6 | |
| 39. |
If the number 91876 * 2 is completely divisible by 8, then the smallest whole number in place of * will be: |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 40. |
What will be remainder when 17^200 is divided by 18 ? |
| A. | 17 |
| B. | 16 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 41. |
287 x 287 + 269 x 269 - 2 x 287 x 269 = ? |
| A. | 534 |
| B. | 446 |
| C. | 354 |
| D. | 324 |
| Answer» E. | |
| 42. |
Which one of the following numbers is completely divisible by 45? |
| A. | 181560 |
| B. | 331145 |
| C. | 202860 |
| D. | 2033555 |
| Answer» D. 2033555 | |
| 43. |
Find the odd man out:396, 462, 572, 427, 671, 264 |
| A. | 396 |
| B. | 427 |
| C. | 671 |
| D. | 264 |
| Answer» C. 671 | |
| 44. |
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: |
| A. | 18 |
| B. | 24 |
| C. | 42 |
| D. | 81 |
| Answer» C. 42 | |
| 45. |
The sum of all two digit numbers divisible by 5 is: |
| A. | 1035 |
| B. | 1245 |
| C. | 1230 |
| D. | 945 |
| Answer» E. | |
| 46. |
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ? |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» C. 1 | |
| 47. |
Which of the following numbers will completely divide (49^(15) - 1) ? |
| A. | 8 |
| B. | 14 |
| C. | 46 |
| D. | 50 |
| Answer» B. 14 | |
| 48. |
If one-third of one-fourth of a number is 15, then three-tenth of that number is: |
| A. | 35 |
| B. | 36 |
| C. | 45 |
| D. | 54 |
| Answer» E. | |
| 49. |
397 x 397 + 104 x 104 + 2 x 397 x 104 = ? |
| A. | 250001 |
| B. | 251001 |
| C. | 260101 |
| D. | 261001 |
| Answer» C. 260101 | |
| 50. |
What is the unit digit in (4137)^754? |
| A. | 1 |
| B. | 3 |
| C. | 7 |
| D. | 9 |
| Answer» E. | |