Number System Questions: Solved 444 Number System Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic. Show
Number System Questions1. When a number is subtracted from the number 8,12 and 20, the remainders are in continued proportion, Find the number ? 6 SHOW ANSWER Correct Ans:4 Explanation: Explanation : 8-x / 12 –x = 12-x /20 –x (8-x)(20-x) = (12 – x)(12 –x ) 160 – 8x – 20x + x2 = 144 – 12x – 12x + x2 4x = 16 x = 4 2. The sum of the digits of a 2-digit number is 11. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number? x = 3 and y = 8 x = 5 and y = 8 x = 4 and y = 8 x = 8 and y = 3 None of these SHOW ANSWER Correct Ans:x = 3 and y = 8 Explanation: Let the number is 10x + y 3. Among three numbers, the first is twice the second and thrice the third, if the average of three numbers is 517, then what is the difference between the first and the third number? None of these SHOW ANSWER Correct Ans:564 Explanation: Let the first number be 6x then second and third number be 3x and 2x respectively. 4. If the fractions 1/2, 2/3, 5/9, 6/13, and 7/9 are arranged in ascending order of their values, which one will be the fourth? (1/2) SHOW ANSWER Correct Ans:(2/3) Explanation: Given fractions are 1/2, 2/3, 5/9, 6/13, and 7/9 Thus, given fractions become: 5. The product of two natural numbers is 9222. If they differ by 19 then find out the sum of the number. 195 SHOW ANSWER Correct Ans:193 Explanation: Let 'x' and 'y' be the two numbers where (x > y). Given that, Product of x and y = 9222 Therefore, sum of the numbers = x + y = 106 + 87 = 193 6. What is the sum of all natural numbers between 100 and 200 which are multiples of 3? None of these SHOW ANSWER Correct Ans:4950 Explanation: Multiples of 3 between 100 and 200 are 102, 105, 108,… ,198. W.K.T:
Arithmetic Progression Formula: Formula: 7. If the sum of 1st 11 terms of an A.P is equal to sum of 1st 19 terms of that A.P then, Find the sum of 1st 30 terms? None of these SHOW ANSWER Correct Ans:0 Explanation: W.K.T: Sum of first n terms of an Arithmetic Progression (A.P) is: Now, sum of 1st
11 terms of an A.P = sum of 1st 19 terms of that A.P Then, Sum of 1st 30 terms of an A.P = (30/2)[2a + (30 - 1)d] 8. A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is _________. None of these SHOW ANSWER Correct Ans:220030 Explanation: Let the required number be 'N' which is the 'dividend'. W.K.T: Dividend = Divisor * Quotient + Remainder 9. If the numbers ∛9, ∜20, (25)(1/6) are arranged in ascending order, then the right arrangement is ________. (25)(1/6) < ∜20 < ∛9 ∛9 < ∜20 < (25)(1/6) (25)(1/6) < ∛9 < ∜20 ∜20 < ∛9 < (25)(1/6) None of these SHOW ANSWER Correct Ans:(25)(1/6) < ∛9 < ∜20 Explanation: Given numbers are (9)(1/3), (20)(1/4), (25)(1/6) L.C.M of 3, 4, and 6 = 12 Therefore, right arrangement in ascending
order is: 10. The unit digit in 43 * 69 * 551 * 9242 is None of these SHOW ANSWER Correct Ans:4 Explanation: If we write all the given numbers in a form (10a + b), b will turn out to be the unit's digit here. So when we multiply all the given numbers, the unit's digit in the product will be nothing but the product of all unit's digits, irrespective of what the other digits in the number are. From the given expression, 7 * unit digit of 551 = 7 * 1 = 7 ---> here, unit digit =7 7 * unit digit of 9242 = 7 * 2 = 14 ---> here, unit digit = 4 11. You purchased two pieces of cloth measuring 1.2 m and 1.3 m each at Rs. 330 and Rs. 270 per meter respectively and gave Rs. 1000 at the payment counter. How much cash will you get back? None of these SHOW ANSWER Correct Ans:Rs. 253 Explanation: Total cost of the two pieces of cloth = (1.2 * 330) + (1.3 * 270) = Rs. 747 12. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is: None of these SHOW ANSWER Correct Ans:85 Explanation: Since the three numbers are co-prime, they contain only 1 as the common factor. Given product of the first two numbers = 551 Given product of the last two numbers = 1073 Thus, Required sum = (19 + 29 + 37) = 85 13. The least number which must be added-to 1728 to make it a perfect square is 34 SHOW ANSWER Correct Ans:36 Explanation: The least number which must be added-to 1728 to make it a perfect square is Reference: 14. Find the total number of factors of 15120 60 SHOW ANSWER Correct Ans:80 Explanation: Find the total number of factors of 15120 If a composite no. N has been written in the form of Hence the answer is : 80 15. Find the unit digit of the product of all the prime numbers between 1 and (17) 17 0 SHOW ANSWER Correct Ans:0 Explanation: Find the unit digit of the product of all the prime numbers between 1 and (17) 17 : The set of prime numbers S = { 2,3,5,7,11,13,.....} Hence the unit digit of given expression is 0. 16. If (a*b) = 6a - 4b + 3ab, then ((6 * 3) + (4 * 3)) is equals to. 125 SHOW ANSWER Correct Ans:126 Explanation: If (a*b) = 6a - 4b + 3ab, then ((6 * 3) + (4 * 3)) is equals to. Reference: Hence the answer is : 126 17. Which of the following cannot be the number of zeroes at the end of any factorial? 2 SHOW ANSWER Correct Ans:5 Explanation: Which of the following cannot be the number of zeroes at the end of any factorial: Reference: ----> We know that the number of zeroes at the end depends on the pair of (2 * 5) . We know that number of zeroes in 5! Is 1. ----> (5! to 9!) = 1 ----> (10! to 14!) = 2 ----> (15! to 19! ) = 3 ----> (20! to 24!) = 4 ----> (25! to 29!) = 6 ----> Here number of zeroes between 25! to 29! is 6 because 25 = 5 2 So, 5 cannot be the number of zeroes at the end of any factorial value. Hence the answer is : 5 18. If p is prime number, then which of the following may also be a prime number? p2 SHOW ANSWER Correct Ans:(p -2) Explanation: If p is prime number, then which of the following may also be a prime number: Reference: ---> None of the prime number other than 2 is divisible by 2 and we know that 1 is not a prime. ---> p2can be factorized as (p* p) which makes it a composite number. ---> 3p is also a composite number. ---> Now, for p = 5,7 and 13 we have p -2 = 3,5 and 11 respectively, which are prime numbers. Hence the answer is : (p -2) 19. N is the largest 3-digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 7? 5 SHOW ANSWER Correct Ans:0 Explanation: N is the largest 3-digit
number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided by 7: Hence the answer is : 0 20. What is the greatest number that will divide 1204, 3664 and 5904 leaving the same remainder? 12 SHOW ANSWER Correct Ans:20 Explanation: What is the greatest number that will divide 1204, 3664 and 5904 leaving the same remainder: Reference : Required number,
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What is the product of two natural numbers?The product of two consecutive natural numbers is n(n+1). This product is an even number if it has 2 as one of the factors otherwise it is an odd number. If the product is divisible by one 1 and number itself then it is a prime number.
How do you find the product of natural numbers?Naive Approach: Find the sum and product of first N natural numbers and check whether the product is divisible by the sum. Efficient Approach: We know that the sum and product of first N naturals are sum = (N * (N + 1)) / 2 and product = N! respectively.
What are the natural No between 1 and 10?The first ten natural numbers are: 1,2,3,4,5,6,7,8,9, and 10.
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