Number System – Set 3 January 26, 2025 by aasi 0% Report a question What’s wrong with this question? You cannot submit an empty report. Please add some details. 1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950 Number System – Set 3 Dear ! This is Number System – Set 3 Quiz and it contains 50 questions. Keep Learning! 1 / 50 1) 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 ? 85 89 82 87 2 / 50 2) The number of times 99 is subtracted from 1111 so that the remainder is less then 99 is : 11 13 12 14 3 / 50 3) What is the remainder when 231 is divided by 5 ? 4 3 1 2 4 / 50 4) If a + b + c = 0, (a + b) (b + c) (c + a) equals (a + b + c)2 ab (a + b) – abc a2 + b2 + c2 5 / 50 5) If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers. 22 20 26 24 6 / 50 6) (xn – an) is divisible by (x – a) only for prime values of n only for even values of n for all values of n only for odd values of n 7 / 50 7) In the relation x > y + z, x + y > p and z < p, which of the following is necessarily true ? Insufficient data x + y > z y + p > x y > p 8 / 50 8) 397 × 397 + 104 × 104 + 2 × 397 × 104 = ? 251004 251005 251000 251001 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 None of these 4,8 10 / 50 10) How many prime numbers are there between 100 to 200 ? 21 41 11 31 11 / 50 11) 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? 432156789 987654321 456789321 381654729 12 / 50 12) What least number must be added to 1056 to get a number exactly divisible by 23 ? 3 2 4 6 13 / 50 13) If p3 – q3 = (p – q) (p – q)2 – xpq, then find the value of x : 7 -3 1 5 14 / 50 14) 8 + 88 + 888 + 8888 + 88888 + 888888 = ? 897648 986748 987648 896748 15 / 50 15) If the seven digit number 876p37q is divided by 225, then the value of p and q respectively are : 0 and 9 0 and 1 0 and 7 0 and 5 16 / 50 16) Which of the following numbers is exactly divisible by 24 ? 537804 35718 63810 3125736 17 / 50 17) The remainder obtained when any prime number greater than 6 is divided by 6 must be : either 1 or 2 either 1 or 5 either 3 or 5 either 1 or 3 18 / 50 18) Among the following statements, the statement which is not correct is : Every natural number is an integer Every integer is a rational number. Every real number is a rational number. Every natural number is a real number. 19 / 50 19) If a and b are positive integers, a > b and (a + b)2 – (a – b)2 > 29 Then the smallest value of a is – 2 4 3 5 20 / 50 20) If a number is divisible by both 11 and 13, then it must be necessarily : Divisible by (11 × 13) 429 Divisible by (11 + 13) Divisible by (13 – 11) 21 / 50 21) How many numbers less than 1000 are multiple of both 10 and 13 ? 5 7 9 6 22 / 50 22) The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is : 90 93 92 91 23 / 50 23) 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 I and III only I and II only II only 24 / 50 24) The digits indicated by * in 3422213** so that this number is divisible by 99 are : 7,5 1,9 3,6 2,4 25 / 50 25) (46351 – 36418 – 4505) ÷ ? = 1357 8 4 2 5 26 / 50 26) The greatest number by which the product of three consecutive multiples of 3 is always divisible is : 162 192 100 132 27 / 50 27) 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 ? None of these 3 6 4 28 / 50 28) 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, …. is : 2 1 3 4 29 / 50 29) 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 30 / 50 30) 2525 is divided by 26, the remainder is : 24 14 25 10 31 / 50 31) The digit in the unit’s place of the number (67)25 – 1 must be – 6 7 None of these 32 / 50 32) If (1012 + 25)2 – (1012 – 25)2 = 10n, then the value of n is : 18 16 14 12 33 / 50 33) The digit in the unit’s place of the product (2464)1793 × (615)317 × (131)491 is : 3 4 2 34 / 50 34) If m = – 4, n = – 2, then the value of m3 – 3m2 + 3m + 3n + 3n2 + n3 is : -126 -127 -129 -128 35 / 50 35) Given that (12 + 22 + 32 + ….. + 202) = 2870, the value of (22 + 42 + 62 + … + 402 ) is : 11438 11470 11490 11480 36 / 50 36) 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 : 6 5 7 8 37 / 50 37) 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 : None of these 5000 6000 4000 38 / 50 38) What is sum of all natural numbers from 1 to 100 ? 5050 5060 5055 5065 39 / 50 39) (800 ÷ 64) × (1296 ÷ 36) = ? 460 470 None of these 480 40 / 50 40) 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 None of these I and III only I and II only 41 / 50 41) If x is a rational number and y is an irrational number, then- xy is necessarily irrational, but x + y can be either rational or irrational Both x + y and xy are necessarily rational x + y can be either x + y is necessarily irrational, but xy can be either rational or irrational Both x + y and xy are necessarily irrational 42 / 50 42) Which of the following digits will replace the H marks in the following equation ? 9H + H8 + H6 = 230 7 None of these 8 43 / 50 43) 1234 + 2345 – 3456 + 4567 = ? None of these 4880 4670 4690 44 / 50 44) 287 × 287 + 269 × 269 – 2 × 287 × 269 = ? 324 322 323 325 45 / 50 45) The digit in the unit’s place of [(251)98 + (21)29 – (106)100 + (705)35 – 164 + 259] is : 8 4 2 6 46 / 50 46) Which of the following numbers is divisible by 3, 7, 9 and 11 ? 2077 2078 2080 2079 47 / 50 47) If a = 7, b = 5, c = 3, then the value of a2 + b2 + c2 – ab – bc – ca is : 12 8 16 4 48 / 50 48) The smallest three-digit prime number is : 102 103 104 101 49 / 50 49) (461 + 462 + 463 + 464) is divisible by : 15 13 17 21 50 / 50 50) 2“>√2 is a/an- irrational number natural number integer rational number Your score isThe average score is 0%🎉 Challenge alert! 💡 Share this quiz with your friends and see who scores the highest! 🏆🤩🔥 LinkedIn Facebook Follow Us @ 0% Restart quiz Exit We’d love to hear your thoughts! 📝 Share your valuable review with us. 🙌 🌟 Thank you for your support! Your feedback means the world to us. 🙏💖 Send feedback