Number System – Set 2 January 26, 2025 by aasi Home › Aptitude › Number System Number System Number System – Set 2 📝 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 2 Dear ! This is Number System – Set 2 Quiz and it contains 50 questions. Keep Learning! 1 / 50 1) If p is a prime number greater than 3, then (p2 – 1) is always divisible by : None of these 12 but not 24 24 6 but not 12 2 / 50 2) A number when divided by 195 leaves a remainder 47. If the same number is divided by 15, the remainder will be : 2 6 4 3 / 50 3) The number of prime numbers between 301 and 320 are : 4 1 3 2 4 / 50 4) 217 × 217 + 183 × 183 = ? 80578 80567 80345 80234 5 / 50 5) A 3-digit number 4a3 is added to another 3-digit number 984 to give the four-digit number 13b7, which is divisible by 11. Then, (a + b) is : 10 12 8 14 6 / 50 6) What is 786 times 964 ? 749844 759276 757704 754164 7 / 50 7) n being any odd number greater than 1, n65 – n is always divisible by : 16 5 24 None of these 8 / 50 8) What is the number of prime factors contained in the product 307 × 225 × 3411 ? 53 56 49 51 9 / 50 9) When the square of any odd number, greater than 1, is divided by 8, it always leaves remainder : 1 Cannot be determined 3 10 / 50 10) A number divided by 68 gives the quotient 260 and remainder zero. If the same number is divided by 65, the remainder is : 9 6 3 11 / 50 11) Consider the following statements : 1. If x and y are composite numbers, then x + y is always composite. 2. There does not exist a natural number which is neither prime nor composite. Which of the above statements is/are correct ? Neither 1 nor 2 Both 1 and 2 1 only 2 only 12 / 50 12) The sum of the perfect square between 120 and 300 is : 1400 1700 1300 1500 13 / 50 13) 38649 – 1624 – 4483 = ? 3557 None of these 3457 3465 14 / 50 14) Which one of the following is a prime number ? 272 373 273 367 15 / 50 15) What minimum value should be assigned to *, so that 2361*48 is exactly divisible by 9 ? 3 2 6 4 16 / 50 16) If all the numbers from 501 to 700 are written, what is the total number of times the digit 6 appears ? 141 138 139 140 17 / 50 17) 76n – 66n, where n is an integer > 0, is divisible by : All the above 127 13 559 18 / 50 18) Find the multiple of 11 in the following numbers. 447355 978626 869756 112144 19 / 50 19) Let x be the product of two numbers 3, 659, 893, 456, 789, 325, 678 and 342, 973, 489, 379, 256. The number of digits in x is : 34 37 36 35 20 / 50 20) The numbers 2, 4, 6, 8 ….. 98, 100 are multiplied together. The number of zeros at the end of the product must be : 11 13 14 12 21 / 50 21) What is 394 times 113 ? 44522 33522 55622 77522 22 / 50 22) The unit’s digit of 132003 is : 9 11 7 5 23 / 50 23) What is the remainder when 461 is divided by 51 ? None of these 20 24 28 24 / 50 24) In a division sum, the remainder was 71. With the same divisor but twice the dividend, the remainder is 43. Which one of the following is the divisor ? 89 99 86 87 25 / 50 25) If B > A, then which expression will have the highest value (given that A and B are positive integers) ab a – b a + b can't say 26 / 50 26) A young girl counted in the following way on the fingers of her left hand. She started calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5, then reversed direction, calling the ring finger 6, middle finger 7, index finger 8, thumb 9 and then back to the index finger for 10, middle finger for 11, and so on. She counted upto 1994. She ended on her thumb index finger ring finger middle finger 27 / 50 27) 414 × ? × 7 = 127512 43 42 45 44 28 / 50 28) If the sum of two numbers is 14 and their difference is 10. Find the product of these two numbers. 24 26 28 22 29 / 50 29) Consider the following statements for the sequence of numbers given below : 11, 111, 1111, 11111, ….. 1. Each number can be expressed in the form (4m + 3), where m is a natural number. 2. Some numbers are squares. Which of the above statements is/are correct ? 1 only Neither 1 nor 2 Both 1 and 2 2 only 30 / 50 30) Given n = 1 + x and x is the product of four consecutive integers. Then which of the following us true ? I. n is an odd integer. II. n is prime. III. n is a perfect square Both I and III are correct Both I and II are correct Only I is correct Only III is correct 31 / 50 31) The number 89715938* is divisible by 4. The unknown non-zero digit marked as * will be : 5 6 4 7 32 / 50 32) The number of prime factors in the expression 610 × 717 × 1127 is equal to : 94 84 74 64 33 / 50 33) The numbers 1, 2, 3, 4, ……, 1000 are multiplied together. The number of zeros at the end (on the right) of the product must be : 236 238 239 249 34 / 50 34) 74844 ÷ ? = 54 × 63 18 16 22 20 35 / 50 35) 7 is added to a certain number; the sum is multiplied by 5 ; the product is divided by 9 and 3 is subtracted from the quotient. Thus, if the remainder left is 12, what was the original number ? 50 20 40 30 36 / 50 36) Which one of the following numbers is divisible by 3 ? 2345678 4006020 2876423 9566003 37 / 50 37) 1260 ÷ 14 ÷ 9 = ? 9 11 10 7 38 / 50 38) (46)2 – (?)2 = 4398 – 3066 28 24 26 30 39 / 50 39) The number (248 – 1) is exactly divisible by two numbers between 60 and 70. The numbers are : 61 and 65 63 and 67 65 and 67 63 and 65 40 / 50 40) If 6*43 – 46@9 = 1904, which of the following should come in place of * ? None of these 7 5 9 41 / 50 41) (71 × 29 + 27 × 15 + 8 × 4) equals : None of these 276 2496 2456 42 / 50 42) Which of the following is a prime number ? 127 126 128 125 43 / 50 43) 8899 – 6644 – 3322 = ? – 1122 65 55 50 60 44 / 50 44) 10531 + 4813 – 728 = ? × 87 168 165 164 167 45 / 50 45) In the following sum, ‘?’ stands for which digit : ? + 1? + 2? + ?3 + ?1 = 21? 8 12 4 16 46 / 50 46) The largest natural number, which exactly divides the product of any four consecutive natural numbers, is : 18 12 24 22 47 / 50 47) (96 + 1) when divided by 8, would leave a remainder of : 2 1 3 48 / 50 48) 12345679 × 72 is equal to : 888888888 999999998 898989898 88888888 49 / 50 49) 6 × 66 × 666 = ? 263763 263736 267336 263376 50 / 50 50) 884697 – 773697 – 102479 = ? 8521 8621 8721 8821 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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