Number System – Set 4

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Number System – Set 4

Dear ! This is Number System – Set 4 Quiz and it contains 50 questions.

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1) The solution to the inequality 12x – 66 ⩽“>⩽⩽ 6 is :

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2) What is 348 times 265 ?

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3) A number is divisible by 11 if the difference between the sums of the digit in odd even places respectively is :

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4) 8888 + 848 + 88 – ? = 7337 + 737

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5) If a + b + c = 6 and ab + bc + ca = 10, then value of a3 + b3 + c3 – 3abc is :

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6) In a division problem, the divisor is 7 times of quotient and 5 times of remainder. If the dividend is 6 times of remainder, then the quotient is equal to :

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7) What number multiplied by 48 will give the same product as 173 multiplied by 240 ?

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8) For an integer n, n! = n(n – 1) (n – 2) ….. 3.2.1 Then, 1! + 2! + 3! +…..+ 100!, when divided by 5 leaves remainder

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9) 5566 – 7788 + 9988 = ? + 4444

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10) The number of prime numbers between 0 and 50 is :

 

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11) If a and b are two numbers such that ab = 0, then –

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12) 2 – 2 + 2 – 2 + ….. 101 terms = ?

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13) The number 534677 is divisible by 777. The difference of divisor and remainder is :

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14) The least number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is :

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15) 325325 is a six-digit number. It is divisible by :

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16) If x – y = 8, then which of the following must be true ? I. Both x and y are positive. II. If x is positive, y must be positive. III. If x is negative, y must be negative.

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17) What decimal of a week is an hour ?

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18) In doing a question of division with zero remainder. a candidate took 12 divisor instead of 21. The quotient obtained by him was 35. The correct quotient is :

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19) If m and n are positive integers, then the digit in the unit’s place of 5n + 6m is always :

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20) On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is :

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21) The smallest number of 5 digits beginning with 3 and ending with 5 will be :

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22) Which of the following numbers are completely divisible by 7 ? I. 195195 II. 181181 III. 120120 IV. 891891

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23) 6 × 3 (3 – 1) is equal to :

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24) A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is = ?

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25) The number formed from the last two digits (ones and tens) of the expression 212n – 64n , where n is any positive integer is :

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26) If a (0.4)2 , b = 0.04 and c = 25“>2/5, then the correct relationship among the three is :

 

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27) If 34“>3/4 of a number is 7 more than 16“>1/6of the number then 53“>5/3 of the number is :

 

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28) Which of the following is a prime number ?

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29) If m and n are positive integers and (m – n) is an even number, then (m2 – n2 ) will always be divisible by :

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30) If 37 X 3 is a four-digit natural number divisible by 7, then the place marked as X must have the value :

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31) All natural numbers and 0 are called the ….. numbers.

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32) The number π is :

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33) The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is always :

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34) Two positive whole numbers are such that the sum of the first and twice the second number is 8 and their difference is 2. The numbers are :

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35) A number when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be –

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36) The number of zeros at the end of the product 5 × 10 × 15 × 20 × 25 × 30 × 35 × 40 × 45 × 50 is :

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37) What should come in place of * mark in the following equation ? 1 * 5 $ 4 ÷ 148 = 78

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38) When 2256 is divided by 17, the remainder would be :

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39) What should be the maximum value of q in the following equation? 5P9 – 7Q2 + 9R6 = 823

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40) If you subtract – 1 from + 1, what will be the result ?

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41) A, B, C and D purchase a gift worth Rs. 60. A pays 12“>1/2 of what others are paying. B pays 13“>1/3  of what others are paying and C pays 14“>1/4 of what others are paying. What is the amount paid by D ?

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42) ? × (|a|×|b|)=− ab“>(|a|×|b|)=− ab

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43) If x, y, z and w be the digits of a number beginning from the left, the number is :

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44) The number of zeros at the end of 60! is :

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45) The digit in the unit place of the number represented by (795 – 358) is :

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46) What is the minimum number of four digits formed by using the digits 2, 4, 0, 7 ?

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47) Symbiosis runs a Corporate Training Programme. At the end of running the first programme, its total takings were Rs. 38950. There were more than 45 but less than 100 participants. What was the participant fee for the programme ?

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48) The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the four preceding terms are also prime, is –

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49) A number is successively divided by 8, 7 and 3 giving residues 3, 4 and 2 respectively and quotient 31. The number is :

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50) The least number more than 5000 which is divisible by 73 is –

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