Number System – Set 8 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 8 Dear ! This is Number System – Set 8 Quiz and it contains 50 questions. Keep Learning! 1 / 50 1) What is the least number when divided by 8, 12, 20 and 30 leaves a remainder 4 and when divided by 21 leaves a remainder 7 ? 264 464 Cannot be determined 364 2 / 50 2) If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is? xyz yxz zy x/xyz 3 / 50 3) The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is? 122 152 132 142 4 / 50 4) An even number can be expressed as the square of an integer as well as cube of another integer. Then the number has to be necessarily divisible by? 64 74 54 84 5 / 50 5) The largest 4 digit number exactly divisible by 88 is? 8844 9944 1155 7733 6 / 50 6) Prof. Suman takes a number of quizzes for a course. All the quizzes are out of 100. A student can get an A grade in the course if the average of her scores is more than or equal to 90. Grade B is awarded to a student if the average of her scores is between 87 and 89 (both included). If the average is below 87, the student gets a C grade. Ramesh is preparing for his last quiz and he realizes that he must score a minimum of 97 to get an A grade. After the quiz, he realizes that he will score 70, and he will just manage a B. how many quizzes did Prof. Suman take? 5 4 7 9 7 / 50 7) Sunny gets 7/9 times as many marks in QA as in ENGLISH. If his total combined marks in both the papers is 90. His marks in QA is? 60 50 70 90 8 / 50 8) a, b, c and d are negative integers. If ab + ac + ad = 0 then a × b × c × d is always? zero None of these odd even 9 / 50 9) (12)3 × 64 × 432-1 = ? 5172 5184 5182 5174 10 / 50 10) A virus known to cause a deadly disease, is also a rapid multiplier. It is known that it can double itself every 30 minutes. If a container is completely full of this virus after 50 hours, when was the container half empty? 49.5 hours 39.5 hours 29.5 hours 59.5 hours 11 / 50 11) Amitabh picks a random integer between 1 and 999, doubles it and gives the result to Sashi. Each time Sashi gets a number from Amitabh, he adds 50 to the number, and gives the result back to Amitabh, who doubles the number again. The first person, whose result is more than 1000, loses the game. Let ‘X’ be the smallest initial number that results in a win for Amitabh. The sum of the digit of ‘X’ is? 6 7 5 4 12 / 50 12) The difference between three times and seven times of a number comes to 36. What is the number? 9 7 3 5 13 / 50 13) The product of the digits of a three digit number is a perfect square and perfect cube both is? 116 146 126 136 14 / 50 14) A certain number of the capsule were purchased for Rs. 176. Six more capsule could have been purchased in the same amount if each capsule were cheaper by Rs. 3. What was the number of capsules purchased? 10 13 16 11 15 / 50 15) 1397 x 1397 = ? 1981709 1951609 2031719 18362619 16 / 50 16) The LCM of two numbers is 1020 and their HCF is 34 the possible pair of number is? None of these 204, 170 102, 204 255, 34 17 / 50 17) (112 × 54) = ? 70000 60000 50000 80000 18 / 50 18) If (-1)n + (-1)4n = 0, then n is? Any negative integer Any odd natural number Any even natural number Any positive integer 19 / 50 19) 5358 × 51 = ? 273278 273258 273268 273248 20 / 50 20) (935421 x 625) = ? 564638125 584638125 574638125 594638125 21 / 50 21) One-third of a tower is painted black, 5/11511“>th of the remaining part is painted red and the rest is painted white. If the white part measures 60 ft.,the total height of the tower is? 165 ft 155 ft 185 ft 175 ft 22 / 50 22) The numerator and denominator of a fraction are in the ratio 3 : 4. If 9 is subtracted from the numerator, the resulting fraction in 2/3 23“> of the original fraction. The numerator of the original fraction is? 27 47 17 37 23 / 50 23) What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad? 821 807 814 800 24 / 50 24) The smallest number of four digits which on division by 4, 6, 10 and 15 leaves a remainder 2 in each case is? 1000 1032 1022 1020 25 / 50 25) What least number must be added to 1056, so that the sum is completely divisible by 23 ? 3 6 4 2 26 / 50 26) The remainder when (1213 + 2313) is divided by 11? 4 2 3 6 27 / 50 27) A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they again at the starting point ? 36 minutes 12 seconds 36 minutes 12 seconds 46 minutes 12 seconds 46 minutes 22 seconds 28 / 50 28) The sum and products of two numbers are 12 and 35 respectively. The sum of their reciprocals will be? 12/35 1/6 1/3 12/43 29 / 50 29) What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder? 1397 1883 1273 1683 30 / 50 30) The LCM of two number is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, the other number is? 225 235 215 200 31 / 50 31) 5(x + 3) = 25(3x – 4), then find the value of x? 5/11 12/6 11/5 6/12 32 / 50 32) What is the unit digit in {(6374)1793 x (625)317 x (341491)}? 3 2 1 33 / 50 33) The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ? 240 270 260 250 34 / 50 34) A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly? 8 14 16 18 35 / 50 35) Three numbers which are co-prime to each other are such that the product of the first two is 119 and that of the last two is 391. What is the sum of the three numbers? 57 47 37 67 36 / 50 36) The remainder when 757575 is divide by 37? 2 3 4 1 37 / 50 37) The sum of first five prime numbers is? 28 26 30 22 38 / 50 38) Three numbers which are co-prime to one another are such that the product of the first two is 551 and that of last two is 1073. The sum of the three numbers is? 86 83 84 85 39 / 50 39) Sunil entered a shopping center and spent one half of the money that he had. When he finished his purchase he found that he had as many paise as he had rupees and half as many rupees as he had paise when he went. How much money did he have when he entered? Rs. 99.98 None of these Rs. 75.50 Rs. 98.98 40 / 50 40) The greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively? 10 25 15 20 41 / 50 41) In a certain series, each number except the first and second is obtained by adding the previous two numbers. If the first no is 2 and sixth no is 26, then the seventh number is? 42 44 40 38 42 / 50 42) Six bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. how many times will they ring together in 60 minutes ? 28 31 29 30 43 / 50 43) The sum of the digits of a two-digits numbers is 12 and when the digits of the to digit number are interchanged, the new number is 36 more than the original. What is the Original number? 49 45 40 48 44 / 50 44) A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in last row are? 37 39 33 35 45 / 50 45) Ram left 13“>1/3 of his property to his widow and 35“>3/5 of the remainder to his daughter. He gave the rest to his son who received Rs. 6,400. How much was his original property worth? Rs. 22,000 Rs. 16,000 Rs. 24,000 Rs. 15,000 46 / 50 46) The sum of 100 terms of the series 1 – 3 + 5 – 7 + 9 – 11 ………. is? 100 – 100 200 – 200 47 / 50 47) Three-fifth of a number is equal to 70% of another number. What is the ratio between the first number and second number ? 5 : 6 9 : 6 7 : 6 8 : 6 48 / 50 48) Which of the following is a prime number ? 97 77 87 67 49 / 50 49) How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336 8 4 6 2 50 / 50 50) Which one of the following is not a prime number? 91 81 110 111 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