Number System – Set 3 January 26, 2025 by aasi Home › Aptitude › Number System Number System Number System – Set 3 📝 Model Practice Set ⚡ Instant Answers & Explanation 🎯 Exam Oriented 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) If (1012 + 25)2 – (1012 – 25)2 = 10n, then the value of n is : 16 12 18 14 2 / 50 2) 2525 is divided by 26, the remainder is : 25 24 14 10 3 / 50 3) How many numbers less than 1000 are multiple of both 10 and 13 ? 9 7 5 6 4 / 50 4) Given that (12 + 22 + 32 + ….. + 202) = 2870, the value of (22 + 42 + 62 + … + 402 ) is : 11480 11470 11490 11438 5 / 50 5) If the seven digit number 876p37q is divided by 225, then the value of p and q respectively are : 0 and 7 0 and 1 0 and 9 0 and 5 6 / 50 6) (46351 – 36418 – 4505) ÷ ? = 1357 8 5 4 2 7 / 50 7) If a = 7, b = 5, c = 3, then the value of a2 + b2 + c2 – ab – bc – ca is : 8 4 16 12 8 / 50 8) (xn – an) is divisible by (x – a) for all values of n only for even values of n only for prime values of n only for odd values of n 9 / 50 9) (800 ÷ 64) × (1296 ÷ 36) = ? 480 460 None of these 470 10 / 50 10) The smallest three-digit prime number is : 102 103 104 101 11 / 50 11) The number of times 99 is subtracted from 1111 so that the remainder is less then 99 is : 11 12 13 14 12 / 50 12) If a + b + c = 0, (a + b) (b + c) (c + a) equals (a + b + c)2 – abc ab (a + b) a2 + b2 + c2 13 / 50 13) Which of the following numbers is divisible by 3, 7, 9 and 11 ? 2077 2078 2079 2080 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) 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, …. is : 3 2 4 1 16 / 50 16) The greatest number by which the product of three consecutive multiples of 3 is always divisible is : 192 100 132 162 17 / 50 17) 1234 + 2345 – 3456 + 4567 = ? 4670 4880 None of these 4690 18 / 50 18) P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q = ? 30 32 35 34 19 / 50 19) 287 × 287 + 269 × 269 – 2 × 287 × 269 = ? 322 324 323 325 20 / 50 20) 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 ? 87 82 89 85 21 / 50 21) The digit in the unit’s place of [(251)98 + (21)29 – (106)100 + (705)35 – 164 + 259] is : 2 8 6 4 22 / 50 22) (461 + 462 + 463 + 464) is divisible by : 13 21 15 17 23 / 50 23) If p3 – q3 = (p – q) (p – q)2 – xpq, then find the value of x : 5 7 1 -3 24 / 50 24) The digit in the unit’s place of the product (2464)1793 × (615)317 × (131)491 is : 2 3 4 25 / 50 25) 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 7 6 5 26 / 50 26) Which of the following numbers is exactly divisible by 24 ? 63810 537804 3125736 35718 27 / 50 27) 8 + 88 + 888 + 8888 + 88888 + 888888 = ? 987648 896748 897648 986748 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 456789321 432156789 987654321 29 / 50 29) 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 3 either 1 or 5 30 / 50 30) The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is : 93 91 92 90 31 / 50 31) 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 ? 3 4 None of these 6 32 / 50 32) If a and b are positive integers, a > b and (a + b)2 – (a – b)2 > 29 Then the smallest value of a is – 3 5 2 4 33 / 50 33) How many prime numbers are there between 100 to 200 ? 31 41 21 11 34 / 50 34) What is sum of all natural numbers from 1 to 100 ? 5060 5055 5065 5050 35 / 50 35) Which of the following digits will replace the H marks in the following equation ? 9H + H8 + H6 = 230 8 None of these 7 36 / 50 36) 2“>√2 is a/an- irrational number rational number integer natural number 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 : 5000 4000 None of these 6000 38 / 50 38) In the relation x > y + z, x + y > p and z < p, which of the following is necessarily true ? Insufficient data y + p > x x + y > z y > p 39 / 50 39) 397 × 397 + 104 × 104 + 2 × 397 × 104 = ? 251004 251000 251001 251005 40 / 50 40) If a number is divisible by both 11 and 13, then it must be necessarily : Divisible by (11 + 13) 429 Divisible by (13 – 11) Divisible by (11 × 13) 41 / 50 41) What least number must be added to 1056 to get a number exactly divisible by 23 ? 3 2 4 6 42 / 50 42) 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 43 / 50 43) If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers. 22 24 20 26 44 / 50 44) 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 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 rational 45 / 50 45) 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 and II only I only I and III only None of these 46 / 50 46) 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 II only I and III only I only 47 / 50 47) What is the remainder when 231 is divided by 5 ? 1 4 2 3 48 / 50 48) Among the following statements, the statement which is not correct is : Every real number is a rational number. Every natural number is a real number. Every natural number is an integer Every integer is a rational number. 49 / 50 49) The digits indicated by * in 3422213** so that this number is divisible by 99 are : 7,5 3,6 1,9 2,4 50 / 50 50) If m = – 4, n = – 2, then the value of m3 – 3m2 + 3m + 3n + 3n2 + n3 is : -126 -127 -128 -129 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
