Number System – Set 5

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Number System – Set 5

Dear ! This is Number System – Set 5  Quiz and it contains 50 questions.

Happy Learning!

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1) A number consists of two digits such that the digit in the ten’s place is less by 2 than the digit in the unit place. Three times the number added to

67“>6/7 times the number obtained by reversing digits equals 108. The sum of digits in the number is –

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2) Three numbers are in the ratio 1 : 2 : 3, and the sum of their cubes is 4500. The smallest number will be –

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3) In an examination, a student was asked find 314“>3/14 of a certain number. By mistake he found 34“>3/4 f it, his answer is 150 more than the correct answer. The given number is –

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4) 64329 is divided by a certain number, 175, 114 and 213 appears as three successive remainders. The divisor is –

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5) A number which divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?

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6) The unit digit of the expression : 256251+“>256251+256251+36528+“>36528+36528+  7354=?“>7354=?

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7) A man read 25“>2/5th of a book on the first day. He read 13“>1/3rd more on second day than he read in the first day. 15 pages were left for the third day. The number of pages in the book is –

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8) The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and denominator is decreased by 2, we obtain 2. The sum of numerator and denominator of the fraction is –

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9) The digit in unit’s place of the number (1570)2 + (1571)2 + (1572)2 + (1573)2 is :

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10) Find the sum of all positive multiples of 3 less than 50 :

 

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11) The sum of the numerator and denominator of a positive fraction is 11. If 2 is added to both numerator and denominator, the fraction is increased by

124“>1/24. The difference of numerator and denominator of the fraction is –

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12) The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is :

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13) The number which can be written in the form of n (n + 1) (n + 2), where n is a natural number, is :

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14) The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and denominator is decreased by 2, we obtain 2. The sum of numerator and denominator of the fraction is –

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15) In a farm there are cows and hens. If heads are counted there are 180, if legs are counted there are 420. The number of cows in the farm is :

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16) If the operation ‘*’ is defined by a * b = a + b – ab, then 5 * 7 equals :

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17) Find the sum of all positive multiples of 5 less than 100.

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18) The number 2272 and 875 are divided by a 3 digit number N, giving the same remainders. The sum of the digit is :

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19) What will be the unit digit in the 7105 ?

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20) In an examination, a student scores 4 marks for every correct answer and losses 1 mark for every wrong answer. A student attempted all the 200 questions and scored 200 marks. The number of questions, he answered correctly was –

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21) Thrice the square of a natural number decreased by four times the number is equal to 50 more than the number, the number is –

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22) In a two digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is :

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23) If a = 4011 and b = 3989, then value of ab = ?

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24) A positive integer when divided by 425 gives a remainder 45. When the same number is divided by 17, the remainder will be :

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25) Find the unit digit in the product : (4387)245“>(4387)245(4387)245  

×(621)72“>×(621)72

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26) 5349 is added to 3957. Then 7062 is subtracted from the sum. The result is not divisible by :

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27) Each member of a picnic party contributed twice as many rupees as the total number of members as the the total collection was Rs. 3042. The number of member present in the party was –

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28) Which of the following is the largest fraction ?  67,“>6/7,56,“>5/6,78,“>7/8,45“>4/5

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29) The least number of five digits which is divisible by 123 ?

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30) If 4x2 – 12x + k is a perfect square. then the value of k is ?

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31) If a and b are odd numbers, then which of the following is even ?

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32) The unit digit in the product of 3 × 38 × 537 × 1256 is :

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33) The least number that must be subtracted from 63520 to make the result a perfect square is –

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34) 216−1“>216−1216−1 is divisible by –

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35) Find the least number of five digits which is divisible by 333 ?

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36) A number divided by 52 gives remainder 45. If the number divided by 13 , the remainder will be :

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37) A man ate 100 grapes in 5 days. Each day he ate 6 more grapes then those he ate on the earlier day. How many grapes did he eat on the first day ?

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38) When a number is divided by 5, the remainder is 3. What will be the remainder when sum of cube of that number and square of that number is divided by 5 ?

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39) When 231 is divided by 5 the remainder is –

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40) The smallest five digit number which is divisible by 12, 18 and 21 is :

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41) If 1 is added to the both the numerator and the denominator of a fraction, it becomes 14“>1/4 . If 2 is added to both the numerator and the denominator of that fraction it becomes 13“>1/3  The sum of the numerator and the denominator and the denominator of the fraction is –

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42) A and B have together three times what B and C have, while A, B, C together have thirty rupees more than that of A. If B has 5 times that of C, then A has :

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43) Unit digit of the number (22)23 is :

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44) If n is a whole number greater then 1, then n2 (n2 – 1) is always divisible by –

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45) The digit in unit’s place of the product -

(2464)1793“>(2464)1793(2464)1793×(615)317“>×(615)317×(615)317×(131)491“>(131)491

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46) A number consists of two digits. If the number formed by interchange the digits is added to the original number, the resulting number (i.e., the sum) must be divisible by –

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47) Of the three numbers, the second is twice the first and is also thrice the third. If the average of these three numbers is 44, the largest number is –

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48) The unit digit in (122)173“>(122)173(122)173  is ?

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49) The product of two positive numbers is 11520 and their quotient is 95“>9/5. Find the difference between two numbers.

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50) The difference of a number consisting of two digits from the number formed by interchanging the digits is always divisible by :

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