MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 30 Mcqs, each offering curated multiple-choice questions to sharpen your NUMBER SYSTEM knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
a,b,c,d and e are five consecutive numbers in increasing order of size. Deleting one number from the set decreased the sum of the remaining numbers in the set by 20%. Which one of the following numbers was deleted? |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| E. | e |
| Answer» D. d | |
| 2. |
A girl wrote all the numbers from 100 to 200. Then she started counting the number of one's that has been used while writing all these numbers. What is the number that she got? |
| A. | 111 |
| B. | 119 |
| C. | 120 |
| D. | 121 |
| Answer» D. 121 | |
| 3. |
Four digits of the number 29138576 are omitted so that the largest result is possible. The largest omitted digit is: |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» B. 6 | |
| 4. |
If a person makes a row of toys of 20 each, there would be 15 toys left. If they made to stand in rows of 25 each, there would be 20 toys left, if they made to stand in rows of 38 each, there would be 33 toys left and if they are made to stand in rows of 40 each, there would be 35 toys left. The minimum number of toys the person has is? |
| A. | 1,255 |
| B. | 3,805 |
| C. | 7,595 |
| D. | 3,795 |
| Answer» E. | |
| 5. |
When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 divided by the divisor, the remainder obtained is 4. The value of the divisor? |
| A. | 11 |
| B. | 17 |
| C. | 13 |
| D. | 23 |
| Answer» D. 23 | |
| 6. |
A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number. He was afraid of forgetting his PIN. He wrote down the number 123 in his diary to remember his PIN. He also wrote out the way to calculate 123 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 123". Once, Prafull saw his diary in which Pinaki wrote this number 123. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN? |
| A. | 874 |
| B. | 875 |
| C. | 876 |
| D. | 877 |
| Answer» B. 875 | |
| 7. |
Which of the following is the minimum value of the sum of two integers whose product is 36? |
| A. | 37 |
| B. | 20 |
| C. | 15 |
| D. | 12 |
| Answer» E. | |
| 8. |
If aa and bb are positive integers, and x=2 3 7 ax=2 3 7 a , and y=2 2 8 by=2 2 8 b , and the values of both xx and yy lie between 120 and 130 (not including the two), then a b=a b= |
| A. | -2 |
| B. | -1 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 9. |
When a number divided by 342 gives remainder 47. When the same number is divided by 19, what would be the remainder? |
| A. | 5 |
| B. | 9 |
| C. | 4 |
| Answer» C. 4 | |
| 10. |
Two prime numbers A,B(A If A and B are twin primes with B>23, then which of the following numbers would always divide A+B? |
| A. | 12 |
| B. | 8 |
| C. | 24 |
| D. | None of these |
| Answer» B. 8 | |
| 11. |
A and B are playing mathematical puzzles. A asks B "the whole numbers, greater than one, which can divide all the nine three digit numbers 111,222,333,444,555,666, 777,888 and 999?" B immediately gave the desired answer. It was: |
| A. | 3, 37 and 119 |
| B. | 3, 37 and 111 |
| C. | 9, 37 and 111 |
| D. | 3, 9 and 37 |
| Answer» C. 9, 37 and 111 | |
| 12. |
The remainder when the positive integer m is divided by 7 is x. The remainder when m is divided by 14 is x+7. Which one of the following could m equal? |
| A. | 45 |
| B. | 53 |
| C. | 72 |
| D. | 85 |
| Answer» C. 72 | |
| 13. |
How many keystrokes are needed to type numbers from 1 to 1000 on a standard keyboard? |
| A. | 3001 |
| B. | 2893 |
| C. | 2704 |
| D. | 2890 |
| Answer» C. 2704 | |
| 14. |
How many five digit multiples of 11 are there, if the five digits are 3, 4, 5, 6 and 7? Repetition of digits is now allowed? |
| A. | 10 |
| B. | 11 |
| C. | 12 |
| D. | 13 |
| Answer» D. 13 | |
| 15. |
If we write down all the natural numbers from 259 to 492 side by side get a very large natural number 259260261....491492259260261....491492. How many 8's will be used to write this large natural number? |
| A. | 32 |
| B. | 43 |
| C. | 52 |
| D. | 53 |
| Answer» E. | |
| 16. |
If each of the three nonzero numbers a, b and c is divisible by 3, then abc must be divisible by which by ? |
| A. | 8 |
| B. | 27 |
| C. | 81 |
| D. | 181 |
| Answer» C. 81 | |
| 17. |
The positive integers mm and nn leave remainders of 2 and 3, respectively, when divided by 6. m>nm>n. What is the remainder when m nm n is divided by 6? |
| A. | 2 |
| B. | 3 |
| C. | 5 |
| D. | 6 |
| Answer» D. 6 | |
| 18. |
A four digit number 2ab5 is divisible by 25. If the number formed from the two digits ab is a multiple of 13, then ab= |
| A. | 10 |
| B. | 25 |
| C. | 52 |
| D. | 65 |
| Answer» D. 65 | |
| 19. |
A chain smoker had spent all the money he had. He had no money to buy his cigarettes. Hence, he resorted to join the stubs and to smoke them. He needed 4 stubs to make a single cigarette. If he got a pack of 10 cigarettes as a gift, then how many cigarettes could he smoke in all? |
| A. | 10 |
| B. | 11 |
| C. | 12 |
| D. | 13 |
| Answer» E. | |
| 20. |
The natural numbers below 660 which are divisible by 5 and 11 but not by 3 are? |
| A. | 8 |
| B. | 9 |
| C. | 10 |
| D. | 11 |
| Answer» B. 9 | |
| 21. |
The unit s digit in the product ((3127)^{173} ) is: |
| A. | 1 |
| B. | 3 |
| C. | 7 |
| D. | 9 |
| Answer» D. 9 | |
| 22. |
The cumulative addition of the four binary bits ( 1 + 1 + 1 + 1) gives |
| A. | 1111 |
| B. | 111 |
| C. | 100 |
| D. | 1001 |
| Answer» C. 100 | |
| 23. |
The binary addition 1 + 1 + 1 gives |
| A. | 111 |
| B. | 10 |
| C. | 110 |
| D. | 11 |
| Answer» E. | |
| 24. |
The digital systems usually operate on ........system. |
| A. | binary |
| B. | decimal |
| C. | octal |
| D. | hexadecimal |
| Answer» B. decimal | |
| 25. |
Convert in to decimal: (214)8 = ? |
| A. | (140)10 |
| B. | (141)10 |
| C. | (142)10 |
| D. | (130)10 |
| Answer» B. (141)10 | |
| 26. |
The decimal equivalent of (LM17) is given by |
| A. | 491 |
| B. | 499 |
| C. | 497 |
| D. | 498 |
| Answer» B. 499 | |
| 27. |
The two digits hexadecimal number which has largest value is ___ which corresponds to _____ |
| A. | FE, 255 decimal |
| B. | FF, 254 decimal |
| C. | FF, 255 decimal |
| D. | EF, 245 decimal |
| Answer» D. EF, 245 decimal | |
| 28. |
(170)10 is equivalent to(170)10 is equivalent to |
| A. | (FD)16 |
| B. | (DF)16 |
| C. | (AA)16 |
| D. | (AF)16 |
| Answer» D. (AF)16 | |
| 29. |
The octal number 645 in power of 8 is equal toThe octal number 645 in power of 8 is equal to |
| A. | 450 |
| B. | 451 |
| C. | 421 |
| D. | 501 |
| Answer» D. 501 | |
| 30. |
If the decimal number is a fraction then its binary equivalent is obtained by ________ the number continuously by 2. |
| A. | Dividing |
| B. | Multiplying |
| C. | Adding |
| D. | Subtracting |
| Answer» C. Adding | |