Number System – Set 4 January 26, 2025 by aasi Home › Aptitude › Number System Number System Number System – Set 4 📝 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 4 Dear ! This is Number System – Set 4 Quiz and it contains 50 questions. Keep Learning! 1 / 50 1) If a + b + c = 6 and ab + bc + ca = 10, then value of a3 + b3 + c3 – 3abc is : 38 34 36 32 2 / 50 2) In doing a question of division with zero remainder. a candidate took 12 divisor instead of 21. The quotient obtained by him was 35. The correct quotient is : 18 14 9 20 3 / 50 3) The number of zeros at the end of 60! is : 16 14 18 20 4 / 50 4) If you subtract – 1 from + 1, what will be the result ? 3 4 1 2 5 / 50 5) If 34“>3/4 of a number is 7 more than 16“>1/6of the number then 53“>5/3 of the number is : 28 27 20 29 6 / 50 6) The solution to the inequality 12x – 66 ⩽“>⩽⩽ 6 is : x ⩽ ⩽ 6 0 ⩽ ⩽ x ⩽ ⩽ 6 -6 ⩽ ⩽ x ⩽ ⩽ 0 -6 ⩽ ⩽ x ⩽ ⩽ 6 7 / 50 7) The least number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is : 134 132 130 128 8 / 50 8) The number π is : An irrational number A recurring decimal A rational number A fraction 9 / 50 9) The number 534677 is divisible by 777. The difference of divisor and remainder is : 672 674 676 673 10 / 50 10) The number formed from the last two digits (ones and tens) of the expression 212n – 64n , where n is any positive integer is : 20 00 10 30 11 / 50 11) The least number more than 5000 which is divisible by 73 is – 5037 2037 3037 4037 12 / 50 12) What is 348 times 265 ? 92210 92220 92230 92240 13 / 50 13) When 2256 is divided by 17, the remainder would be : 6 4 3 1 14 / 50 14) If 37 X 3 is a four-digit natural number divisible by 7, then the place marked as X must have the value : 7 6 5 15 / 50 15) 325325 is a six-digit number. It is divisible by : 11 ONLY ALL 7, 11 AND 13 13 ONLY 7 ONLY 16 / 50 16) If x, y, z and w be the digits of a number beginning from the left, the number is : B. wzyx 103x + 102y + 10z + w xyzw x + 10y + 100z + 1000w 17 / 50 17) A number is divisible by 11 if the difference between the sums of the digit in odd even places respectively is : A multiple of 3 Zero or a multiple of 11 A multiple of 5 Zero or a multiple of 7 18 / 50 18) 2 – 2 + 2 – 2 + ….. 101 terms = ? None of these 1 3 2 19 / 50 19) Which of the following numbers are completely divisible by 7 ? I. 195195 II. 181181 III. 120120 IV. 891891 All are divisible Only I and IV Only II and III Only II and IV 20 / 50 20) Symbiosis runs a Corporate Training Programme. At the end of running the first programme, its total takings were Rs. 38950. There were more than 45 but less than 100 participants. What was the participant fee for the programme ? Rs. 405 Rs. 410 Rs. 415 Rs. 420 21 / 50 21) Two positive whole numbers are such that the sum of the first and twice the second number is 8 and their difference is 2. The numbers are : 7,8 4,3 5,6 4,2 22 / 50 22) In a division problem, the divisor is 7 times of quotient and 5 times of remainder. If the dividend is 6 times of remainder, then the quotient is equal to : 5 1 3 2 23 / 50 23) If m and n are positive integers and (m – n) is an even number, then (m2 – n2 ) will always be divisible by : 8 12 4 24 / 50 24) What is the minimum number of four digits formed by using the digits 2, 4, 0, 7 ? 2046 2045 2048 2047 25 / 50 25) All natural numbers and 0 are called the ….. numbers. rational integer whole prime 26 / 50 26) The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is always : Not divisible by 9 Divisible by 9 Not divisible by 6 Divisible by 6 27 / 50 27) The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the four preceding terms are also prime, is – 28 27 29 30 28 / 50 28) The digit in the unit place of the number represented by (795 – 358) is : 4 10 8 6 29 / 50 29) What should come in place of * mark in the following equation ? 1 * 5 $ 4 ÷ 148 = 78 1 2 4 30 / 50 30) 5566 – 7788 + 9988 = ? + 4444 3322 3311 3333 3300 31 / 50 31) 8888 + 848 + 88 – ? = 7337 + 737 1750 1735 1755 1740 32 / 50 32) The number of zeros at the end of the product 5 × 10 × 15 × 20 × 25 × 30 × 35 × 40 × 45 × 50 is : 6 2 4 8 33 / 50 33) The number of prime numbers between 0 and 50 is : 17 21 15 19 34 / 50 34) A, B, C and D purchase a gift worth Rs. 60. A pays 12“>1/2 of what others are paying. B pays 13“>1/3 of what others are paying and C pays 14“>1/4 of what others are paying. What is the amount paid by D ? 24 20 18 13 35 / 50 35) A number is successively divided by 8, 7 and 3 giving residues 3, 4 and 2 respectively and quotient 31. The number is : 6366 5355 7377 4344 36 / 50 36) A number when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be – 1 4 3 2 37 / 50 37) If a and b are two numbers such that ab = 0, then – A. a = 0 and b ≠ ≠ 0 a = 0 or b = 0 or both b = 0 and a ≠ ≠ 0 a = 0 and b = 0 38 / 50 38) What number multiplied by 48 will give the same product as 173 multiplied by 240 ? 865 845 765 789 39 / 50 39) A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is = ? 11 14 10 12 40 / 50 40) If m and n are positive integers, then the digit in the unit’s place of 5n + 6m is always : 9 1 7 4 41 / 50 41) If a (0.4)2 , b = 0.04 and c = 25“>2/5, then the correct relationship among the three is : a > c > d a > b > c c > a > b b > a > c 42 / 50 42) 6 × 3 (3 – 1) is equal to : 30 32 34 36 43 / 50 43) If x – y = 8, then which of the following must be true ? I. Both x and y are positive. II. If x is positive, y must be positive. III. If x is negative, y must be negative. II only III only I only I and II both 44 / 50 44) The smallest number of 5 digits beginning with 3 and ending with 5 will be : 30010 30005 30020 30015 45 / 50 45) What should be the maximum value of q in the following equation? 5P9 – 7Q2 + 9R6 = 823 9 7 5 11 46 / 50 46) For an integer n, n! = n(n – 1) (n – 2) ….. 3.2.1 Then, 1! + 2! + 3! +…..+ 100!, when divided by 5 leaves remainder 4 2 3 47 / 50 47) On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is : 47615 47621 47619 47617 48 / 50 48) What decimal of a week is an hour ? 0.0056 0.0059 0.0057 0.0058 49 / 50 49) Which of the following is a prime number ? 21 16 18 19 50 / 50 50) ? × (|a|×|b|)=− ab“>(|a|×|b|)=− ab None of these -3 -1 -2 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