Number System – Set 8

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Number System – Set 8

Dear ! This is Number System – Set 8  Quiz and it contains 50 questions.

Happy Learning!

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1) 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?

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2) 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?

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3) 5358 × 51 = ?

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4) 5(x + 3) = 25(3x – 4), then find the value of x?

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5) The sum of 100 terms of the series 1 – 3 + 5 – 7 + 9 – 11 ………. is?

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6) 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?

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7) a, b, c and d are negative integers. If ab + ac + ad = 0 then a × b × c × d is always?

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8) 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?

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9) 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?

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10) 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?

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11) 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?

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12) The largest 4 digit number exactly divisible by 88 is?

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13) 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 ?

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14) 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?

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15) 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?

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16) The remainder when (1213 + 2313) is divided by 11?

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17) The remainder when 757575 is divide by 37?

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18) Which of the following is a prime number ?

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19) 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?

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20) If (-1)n + (-1)4n = 0, then n is?

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21) 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?

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22) The LCM of two numbers is 1020 and their HCF is 34 the possible pair of number is?

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23) 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?

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24) What is the unit digit in {(6374)1793 x (625)317 x (341491)}?

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25) Three-fifth of a number is equal to 70% of another number. What is the ratio between the first number and second number ?

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26) 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?

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27) 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?

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28) 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?

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29) 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?

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30) If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is?

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31) The sum and products of two numbers are 12 and 35 respectively. The sum of their reciprocals will be?

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32) What least number must be added to 1056, so that the sum is completely divisible by 23 ?

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33) Which one of the following is not a prime number?

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34) (112 × 54) = ?

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35) (12)3 × 64 × 432-1 = ?

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36) (935421 x 625) = ?

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37) 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?

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38) 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 ?

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39) The product of the digits of a three digit number is a perfect square and perfect cube both is?

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40) The difference between three times and seven times of a number comes to 36. What is the number?

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41) 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 ?

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42) The greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?

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43) 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?

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44) 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?

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45) The smallest number of four digits which on division by 4, 6, 10 and 15 leaves a remainder 2 in each case is?

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46) The sum of first five prime numbers is?

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47) How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336

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48) 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?

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49) 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 ?

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50) 1397 x 1397 = ?

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