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) The digit in the unit’s place of [(251)98 + (21)29 – (106)100 + (705)35 – 164 + 259] is : 6 4 8 2 2 / 50 2) 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 4 2 3 3 / 50 3) If the seven digit number 876p37q is divided by 225, then the value of p and q respectively are : 0 and 5 0 and 9 0 and 1 0 and 7 4 / 50 4) Which of the following numbers is exactly divisible by 24 ? 35718 3125736 63810 537804 5 / 50 5) The remainder obtained when any prime number greater than 6 is divided by 6 must be : either 1 or 2 either 3 or 5 either 1 or 5 either 1 or 3 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 ? 89 87 82 85 7 / 50 7) If m = – 4, n = – 2, then the value of m3 – 3m2 + 3m + 3n + 3n2 + n3 is : -128 -129 -127 -126 8 / 50 8) 2525 is divided by 26, the remainder is : 25 14 24 10 9 / 50 9) 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 II only I and III only I and II only I only 10 / 50 10) (800 ÷ 64) × (1296 ÷ 36) = ? 470 480 None of these 460 11 / 50 11) 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 : 8 5 6 7 12 / 50 12) In the relation x > y + z, x + y > p and z < p, which of the following is necessarily true ? x + y > z Insufficient data y + p > x y > p 13 / 50 13) P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q = ? 35 34 30 32 14 / 50 14) The digit in the unit’s place of the number (67)25 – 1 must be – None of these 6 7 15 / 50 15) 1234 + 2345 – 3456 + 4567 = ? 4670 None of these 4690 4880 16 / 50 16) How many numbers less than 1000 are multiple of both 10 and 13 ? 7 6 9 5 17 / 50 17) The greatest number by which the product of three consecutive multiples of 3 is always divisible is : 162 132 100 192 18 / 50 18) The smallest three-digit prime number is : 101 102 104 103 19 / 50 19) (461 + 462 + 463 + 464) is divisible by : 17 15 13 21 20 / 50 20) Which of the following numbers is divisible by 3, 7, 9 and 11 ? 2080 2079 2077 2078 21 / 50 21) 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 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 22 / 50 22) (xn – an) is divisible by (x – a) only for prime values of n for all values of n only for odd values of n only for even values of n 23 / 50 23) 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 : 4,7 None of these 3,6 4,8 24 / 50 24) What is the remainder when 231 is divided by 5 ? 4 2 3 1 25 / 50 25) 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 natural number is an integer Every integer is a rational number. 26 / 50 26) The digit in the unit’s place of the product (2464)1793 × (615)317 × (131)491 is : 4 3 2 27 / 50 27) What least number must be added to 1056 to get a number exactly divisible by 23 ? 2 3 6 4 28 / 50 28) 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 3 None of these 4 29 / 50 29) Which of the following digits will replace the H marks in the following equation ? 9H + H8 + H6 = 230 7 None of these 8 30 / 50 30) If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers. 26 22 20 24 31 / 50 31) If a + b + c = 0, (a + b) (b + c) (c + a) equals (a + b + c)2 ab (a + b) a2 + b2 + c2 – abc 32 / 50 32) The digits indicated by * in 3422213** so that this number is divisible by 99 are : 2,4 7,5 3,6 1,9 33 / 50 33) If a number is divisible by both 11 and 13, then it must be necessarily : 429 Divisible by (11 + 13) Divisible by (13 – 11) Divisible by (11 × 13) 34 / 50 34) 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 35 / 50 35) The number of times 99 is subtracted from 1111 so that the remainder is less then 99 is : 13 12 14 11 36 / 50 36) Given that (12 + 22 + 32 + ….. + 202) = 2870, the value of (22 + 42 + 62 + … + 402 ) is : 11480 11438 11490 11470 37 / 50 37) 287 × 287 + 269 × 269 – 2 × 287 × 269 = ? 325 324 323 322 38 / 50 38) How many prime numbers are there between 100 to 200 ? 41 21 11 31 39 / 50 39) 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, …. is : 4 3 1 2 40 / 50 40) If a = 7, b = 5, c = 3, then the value of a2 + b2 + c2 – ab – bc – ca is : 4 8 12 16 41 / 50 41) 397 × 397 + 104 × 104 + 2 × 397 × 104 = ? 251004 251001 251000 251005 42 / 50 42) The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is : 92 91 90 93 43 / 50 43) (46351 – 36418 – 4505) ÷ ? = 1357 2 8 4 5 44 / 50 44) 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 6000 None of these 5000 45 / 50 45) If (1012 + 25)2 – (1012 – 25)2 = 10n, then the value of n is : 12 18 16 14 46 / 50 46) What is sum of all natural numbers from 1 to 100 ? 5065 5060 5055 5050 47 / 50 47) 2“>√2 is a/an- integer rational number irrational number natural number 48 / 50 48) 8 + 88 + 888 + 8888 + 88888 + 888888 = ? 987648 897648 986748 896748 49 / 50 49) 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? 456789321 381654729 432156789 987654321 50 / 50 50) If p3 – q3 = (p – q) (p – q)2 – xpq, then find the value of x : 5 7 -3 1 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! 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