Number System – Set 3 Leave a Comment / By aasi / April 22, 2025 0% Report a question What’s wrong with this question?You cannot submit an empty report. Please add some details. Number System – Set 3Dear ! This is Number System – Set 3 Quiz and it contains 50 questions.Happy Learning! 1 / 50 1) The remainder obtained when any prime number greater than 6 is divided by 6 must be : either 1 or 2 either 1 or 3 either 1 or 5 either 3 or 5 2 / 50 2) The digit in the unit’s place of [(251)98 + (21)29 – (106)100 + (705)35 – 164 + 259] is : 4 6 8 2 3 / 50 3) If the seven digit number 876p37q is divided by 225, then the value of p and q respectively are : 0 and 1 0 and 5 0 and 7 0 and 9 4 / 50 4) 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, …. is : 4 3 2 1 5 / 50 5) How many prime numbers are there between 100 to 200 ? 11 21 31 41 6 / 50 6) While writing all the numbers from 700 to 1000, how many numbers occur in which the first digits greater than the second digit, and the second digit is greater than the third digit ? 82 85 87 89 7 / 50 7) (46351 – 36418 – 4505) ÷ ? = 1357 2 5 4 8 8 / 50 8) 2“>√2 is a/an- rational number natural number irrational number integer 9 / 50 9) If the number 357*25* is divisible by both 3 and 5, then the missing digits in the unit’s place and the thousandth’s place respectively are : 3,6 4,7 4,8 None of these 10 / 50 10) The smallest three-digit prime number is : 101 102 103 104 11 / 50 11) If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is/are true ? I. n is odd II. n is prime III. n is a perfect square I only I and II only I and III only None of these 12 / 50 12) What is the remainder when 231 is divided by 5 ? 1 2 4 3 13 / 50 13) 8 + 88 + 888 + 8888 + 88888 + 888888 = ? 897648 896748 986748 987648 14 / 50 14) If x is a rational number and y is an irrational number, then- Both x + y and xy are necessarily rational Both x + y and xy are necessarily irrational xy is necessarily irrational, but x + y can be either rational or irrational x + y can be either x + y is necessarily irrational, but xy can be either rational or irrational 15 / 50 15) The numbers from 1 to 29 are written side by side as follows : 1234567891011121314…..2829 If this number is divided by 9, then what is the remainder ? 6 4 3 None of these 16 / 50 16) In the relation x > y + z, x + y > p and z < p, which of the following is necessarily true ? y > p x + y > z y + p > x Insufficient data 17 / 50 17) P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q = ? 30 32 34 35 18 / 50 18) The greatest number by which the product of three consecutive multiples of 3 is always divisible is : 100 132 162 192 19 / 50 19) (800 ÷ 64) × (1296 ÷ 36) = ? 460 470 480 None of these 20 / 50 20) Which of the following numbers is divisible by 3, 7, 9 and 11 ? 2079 2080 2078 2077 21 / 50 21) If a and b are positive integers, a > b and (a + b)2 – (a – b)2 > 29 Then the smallest value of a is – 5 3 4 2 22 / 50 22) If (1012 + 25)2 – (1012 – 25)2 = 10n, then the value of n is : 12 14 16 18 23 / 50 23) Which of the following numbers is exactly divisible by 24 ? 3125736 537804 63810 35718 24 / 50 24) The number of times 99 is subtracted from 1111 so that the remainder is less then 99 is : 11 12 13 14 25 / 50 25) 287 × 287 + 269 × 269 – 2 × 287 × 269 = ? 322 324 323 325 26 / 50 26) If p3 – q3 = (p – q) (p – q)2 – xpq, then find the value of x : 1 -3 5 7 27 / 50 27) Two numbers when divided by a certain divisor leave the remainders 4375 and 2986 respectively but when the sum of two numbers is divided by the same divisor, the remainder is 2361. The divisor in question is : 4000 5000 6000 None of these 28 / 50 28) A 9 digit number in which zero does not appear and no digits are repeated has the following properties: The number comprising the left most two digits is divisible by 2, that comprising the left most three digits is divisible by 3, and so on? 381654729 432156789 987654321 456789321 29 / 50 29) Among the following statements, the statement which is not correct is : Every natural number is a real number. Every real number is a rational number. Every integer is a rational number. Every natural number is an integer 30 / 50 30) If a number is divisible by both 11 and 13, then it must be necessarily : 429 Divisible by (11 × 13) Divisible by (11 + 13) Divisible by (13 – 11) 31 / 50 31) How many numbers less than 1000 are multiple of both 10 and 13 ? 5 7 9 6 32 / 50 32) 1234 + 2345 – 3456 + 4567 = ? 4670 4880 4690 None of these 33 / 50 33) Which of the following digits will replace the H marks in the following equation ? 9H + H8 + H6 = 230 7 8 None of these 34 / 50 34) What least number must be added to 1056 to get a number exactly divisible by 23 ? 3 2 6 4 35 / 50 35) 2525 is divided by 26, the remainder is : 10 14 24 25 36 / 50 36) If a + b + c = 0, (a + b) (b + c) (c + a) equals ab (a + b) (a + b + c)2 – abc a2 + b2 + c2 37 / 50 37) If x and y are two digits of the number 653xy such that the number is divisible by 80, then x + y is equal to : 5 6 7 8 38 / 50 38) (461 + 462 + 463 + 464) is divisible by : 13 17 15 21 39 / 50 39) What is sum of all natural numbers from 1 to 100 ? 5050 5055 5060 5065 40 / 50 40) Given that (12 + 22 + 32 + ….. + 202) = 2870, the value of (22 + 42 + 62 + … + 402 ) is : 11438 11470 11480 11490 41 / 50 41) If m = – 4, n = – 2, then the value of m3 – 3m2 + 3m + 3n + 3n2 + n3 is : -126 -127 -128 -129 42 / 50 42) The digit in the unit’s place of the product (2464)1793 × (615)317 × (131)491 is : 4 3 2 43 / 50 43) The digit in the unit’s place of the number (67)25 – 1 must be – 6 7 None of these 44 / 50 44) 397 × 397 + 104 × 104 + 2 × 397 × 104 = ? 251000 251004 251005 251001 45 / 50 45) (xn – an) is divisible by (x – a) for all values of n only for even values of n only for odd values of n only for prime values of n 46 / 50 46) The digits indicated by * in 3422213** so that this number is divisible by 99 are : 1,9 3,6 7,5 2,4 47 / 50 47) If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers. 20 22 24 26 48 / 50 48) The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is : 90 91 92 93 49 / 50 49) For the integer n, if n3 is odd, then which of the following statements are true ? I. n is odd II. n2 is odd III. n2 is even I only II only I and II only I and III only 50 / 50 50) If a = 7, b = 5, c = 3, then the value of a2 + b2 + c2 – ab – bc – ca is : 4 8 12 16 Your score isThe average score is 0%Share this Quiz with your friends! LinkedIn Facebook Follow Us @ 0% Restart quiz Exit
