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) How many numbers less than 1000 are multiple of both 10 and 13 ? 6 7 5 9 2 / 50 2) If (1012 + 25)2 – (1012 – 25)2 = 10n, then the value of n is : 12 16 18 14 3 / 50 3) If a = 7, b = 5, c = 3, then the value of a2 + b2 + c2 – ab – bc – ca is : 4 8 16 12 4 / 50 4) If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers. 20 26 22 24 5 / 50 5) 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 II only I and III only II only 6 / 50 6) If m = – 4, n = – 2, then the value of m3 – 3m2 + 3m + 3n + 3n2 + n3 is : -128 -127 -126 -129 7 / 50 7) 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 None of these I and III only 8 / 50 8) Among the following statements, the statement which is not correct is : Every natural number is an integer Every real number is a rational number. Every integer is a rational number. Every natural number is a real number. 9 / 50 9) If the seven digit number 876p37q is divided by 225, then the value of p and q respectively are : 0 and 1 0 and 7 0 and 9 0 and 5 10 / 50 10) 397 × 397 + 104 × 104 + 2 × 397 × 104 = ? 251001 251005 251000 251004 11 / 50 11) The smallest three-digit prime number is : 101 103 102 104 12 / 50 12) (800 ÷ 64) × (1296 ÷ 36) = ? 480 470 460 None of these 13 / 50 13) 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 14 / 50 14) Which of the following numbers is divisible by 3, 7, 9 and 11 ? 2079 2077 2078 2080 15 / 50 15) P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q = ? 32 35 34 30 16 / 50 16) How many prime numbers are there between 100 to 200 ? 11 21 41 31 17 / 50 17) 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 18 / 50 18) 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 381654729 987654321 456789321 19 / 50 19) 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 : 7 8 6 5 20 / 50 20) If x is a rational number and y is an irrational number, then- 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 Both x + y and xy are necessarily rational xy is necessarily irrational, but x + y can be either rational or irrational 21 / 50 21) The digit in the unit’s place of [(251)98 + (21)29 – (106)100 + (705)35 – 164 + 259] is : 6 2 8 4 22 / 50 22) 1234 + 2345 – 3456 + 4567 = ? 4880 4690 4670 None of these 23 / 50 23) What is the remainder when 231 is divided by 5 ? 2 1 4 3 24 / 50 24) 287 × 287 + 269 × 269 – 2 × 287 × 269 = ? 324 323 325 322 25 / 50 25) Which of the following numbers is exactly divisible by 24 ? 35718 537804 63810 3125736 26 / 50 26) 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 27 / 50 27) The greatest number by which the product of three consecutive multiples of 3 is always divisible is : 162 132 192 100 28 / 50 28) The digit in the unit’s place of the number (67)25 – 1 must be – 6 7 None of these 29 / 50 29) 2525 is divided by 26, the remainder is : 10 24 25 14 30 / 50 30) 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 y + p > x 31 / 50 31) 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 32 / 50 32) 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, …. is : 4 3 1 2 33 / 50 33) What is sum of all natural numbers from 1 to 100 ? 5065 5060 5055 5050 34 / 50 34) 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 4000 5000 6000 35 / 50 35) The digits indicated by * in 3422213** so that this number is divisible by 99 are : 1,9 2,4 3,6 7,5 36 / 50 36) 8 + 88 + 888 + 8888 + 88888 + 888888 = ? 986748 987648 897648 896748 37 / 50 37) 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) 38 / 50 38) The digit in the unit’s place of the product (2464)1793 × (615)317 × (131)491 is : 4 3 2 39 / 50 39) (461 + 462 + 463 + 464) is divisible by : 21 17 15 13 40 / 50 40) What least number must be added to 1056 to get a number exactly divisible by 23 ? 6 2 3 4 41 / 50 41) 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 42 / 50 42) (46351 – 36418 – 4505) ÷ ? = 1357 4 5 2 8 43 / 50 43) The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is : 93 92 91 90 44 / 50 44) 2“>√2 is a/an- rational number integer irrational number natural number 45 / 50 45) If a + b + c = 0, (a + b) (b + c) (c + a) equals – abc a2 + b2 + c2 (a + b + c)2 ab (a + b) 46 / 50 46) The number of times 99 is subtracted from 1111 so that the remainder is less then 99 is : 14 13 12 11 47 / 50 47) (xn – an) is divisible by (x – a) for all values of n only for odd values of n only for even values of n only for prime values of n 48 / 50 48) If p3 – q3 = (p – q) (p – q)2 – xpq, then find the value of x : 5 -3 7 1 49 / 50 49) Given that (12 + 22 + 32 + ….. + 202) = 2870, the value of (22 + 42 + 62 + … + 402 ) is : 11470 11490 11480 11438 50 / 50 50) Which of the following digits will replace the H marks in the following equation ? 9H + H8 + H6 = 230 7 None of these 8 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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