Number System – Set 9

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Number System – Set 9

Dear ! This is Number System – Set 9 Quiz and it contains 50 questions.


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1) There are 154 beads in a rosary and all are coloured, either RED or BLUE or GREEN. The number of blue ones is three less than red and five more than green. The number of Red beads are?

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2) If we divide the unknown two-digit number by the number consisting of the same digits written in the reverse order, we get 4 as quotient and 3 as remainder. If we divide the required number by sum of its digits, we get 8 as a quotient and 7 as a remainder. Find the number?

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3) Find the remainder when 67107 is divided by 7?

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4) There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed?

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5) If x + y + z = 0, then x3 + y3 + z3 is equal to?

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6) The number of prime factors in the expressions 64 × 86 × 108 × 1210 is?

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7) A naughty boy Amrit watches a Sachin Tendulkar inning and acts according to number of runs he sees Sachin scoring. The details are: 1 run – place one orange in the basket 2 runs – place one mango in basket 3 runs – place a pear in the basket 4 runs – remove a pear and a mango from the basket One fine day, at the start of the match, the basket is empty. The sequence of runs scored by Sachin in that inning are given as 11232411234232341121314. At the end of the above inning, how many more oranges were there compared to mangoes inside the basket ? (The Basket was empty initially)?

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8) The four digit smallest positive number which when divided by 4, 5, 6 or 7, it leaves always the remainder as 3?

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9) The last three-digits of the multiplication 12345 × 54321 will be?

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10) x is five digit number. The digit in ten thousands place is 1. the number formed by its digits in units and ten places is divisible by 4. The sum of all the digits is divisible by 3. If 5 and 7 also divide x, then x will be?

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11) Recently, a small village, in Tamilnadu where only male shepherd reside with four sheep each, was devastated by Tsunami waves. Therefore 8 persons and 47 sheep were found to be dead and the person who luckily survived, left the village with one sheep each since 21 sheep were too injured to move so have left on their on luck, in the village. The number of sheep which were earlier in the village was ?

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12) The remainder when 30 + 31 + 32 + 33 + . . . . . . . + 3200 is divided by 13 is?

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13) Some birds settled on the branches of a tree. First, they sat one to a branch and there was one bird too many. Next they sat two to a branch and there was one branch too many. How many branches were there?

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14) The remainder , when (22225555 + 55552222) is divided by 7, is?

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15) The number of numbers from 1 to 200 which are divisible by neither 3 nor 7 is?

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16) The remainder when 40 + 41 + 42 + 43 + …….. + 440 is divided by 17 is?

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17) A boy appeared in CAT for four consecutive year years, but coincidentally each time his net score was 75. He told me that there was

13“>1/3rd negative marking for every wrong answer and 1 mark was allotted for every correct answer. He has attempted all the questions every year, but certainly some answers have been wrong due conceptual problem. Which is not the total number of questions asked for CAT in any year, in that period?

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18) A magazine publisher publishes a monthly magazine of 84 pages. One I found that in a magazine 4 pages was missing. One out of them was page number 29 it is known that the page number of the last page of the magazine is 84, (including the cover pages). The numbers printed on the missing pages were?

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19) How many pairs of natural numbers is there the difference of whose squares are 45?

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20) The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave

12“>1/2 of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?

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21) The distance between the house of Rajan and Raman is 900 km and the house of former is at 100th milestone where as the house of Raman is at 1000th milestone. There are total 901 milestone at a regular interval of 1 km each. When you go to Raman’s house from the house of Rajan which are on same highway, you will find that if the last digit (i.e. unit digit) of 3 digit number on every milestone is same as the first (i.e. hundreds digit) of the number on the next milestone is same, then these milestones must be red colour and rest will be of black. Total number of red colour milestone is?

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22) The remainder when 1010 + 10100 + 101000 + . . . . . . + 101000000000 is divided by 7 is?

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23) The remainder when 6666..∞ is divided by 10 is?

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24) A number when divided by 14 leaves reminder of 8, but when the same number is divided by 7, it will leave the remainder?

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25) Find the remainder when 65203 is divided by 7?

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26) Find the least number of five digits which when divided by 40, 60, and 75, leave remainders 31, 51 and 66 respectively?

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27) Half way through the journey from Delhi to Lahore Atalji began to look out of the window of the Samjhauta Express and continued it until the distance which was remained to cover was half of what he has covered. Now at this time how much distance he has to cover?

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28) A man sells chocolates which are in the boxes. Only either full box or half a box of chocolates can be purchased from him. A customer comes and buys half the number of boxes which the seller had plus half box more. A second customer comes and purchases half the remaining number of boxes plus half a box. After this the seller is left with no chocolate boxes. How many chocolate boxes the seller had initially?

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29) If 146 Is divisible by 5n, and then find the maximum value of n?

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30) To write all the page numbers of a book, exactly 136 times digit 1 has been used. Find the number of pages in the book?

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31) The highest power of 17 which can divide exactly the following: (182 – 1) (184 – 1) (186 – 1) (188 – 1) . . . . (1816 – 1) (1818 – 1) is?

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32) The remainder of (3)67! divided by 80 is?

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33) Given, N = 98765432109876543210 ….. up to 1000 digits, find the smallest natural number n such that N + n is divisible by 11?

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34) Find the remainder when 10 + 102 + 103 + 104 + …….. + 1099 is divided by 6?

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35) The sum of two numbers is 18. The greatest product of these two number can be?

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36) 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 up 1994. She ended on her?

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37) Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took 1/3 13“>of the mints, but returned four because she had a monetary pang of guilt. Fatima then took 14“>1/4of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl?

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38) The number of employees in Examveda and Co. is a prime number and less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be?

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39) Three mangoes, four guavas, and five watermelons cost Rs. 750. Ten watermelons, six mangoes and 9 guavas Cost Rs. 1580. What is the cost of six mangoes, ten watermelons and 4 guavas?

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40) The unit digit of (316)34n + 1 is?

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41) Which of following can never be ending of a perfect square?

 

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42) P is a prime number and (P2 + 3) is also a prime number . The no. of numbers that P can assume is?

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43) The number of two digit prime numbers which remain prime even inverting the position of its digits is?

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44) The square of a number greater than 1000 that is not divisible by three, when divided by three, leaves a remainder of?

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45) A gardener plants his garden with 5550 trees and arranged them so that there is one plant more per row as there are rows then number of trees in a row is?

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46) Find the remainder when 54124 is divided by 17?

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47) A string of length 221 metre is cut into two parts such that one part is 9/4

94“>th as long as the rest of the string, then the difference between the larger piece and the shorter piece is

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48) Find unit digit of product (173)45 × (152)77 × (777)999?

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49) The total number of 3 digit numbers which have two or more consecutive digits identical is?

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50) A two digit number ab is added to another number ba, which is obtained by reversing the digits then we get three digit number. Thus (a + b) equals to?

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