Number System – Set 2

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Number System – Set 2

Dear ! This is Number System – Set 2  Quiz and it contains 50 questions.

Happy Learning!

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1) 76n – 66n, where n is an integer > 0, is divisible by :

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2) (96 + 1) when divided by 8, would leave a remainder of :

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3) In a division sum, the remainder was 71. With the same divisor but twice the dividend, the remainder is 43. Which one of the following is the divisor ?

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4) In the following sum, ‘?’ stands for which digit : ? + 1? + 2? + ?3 + ?1 = 21?

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5) The sum of the perfect square between 120 and 300 is :

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6) The numbers 2, 4, 6, 8 ….. 98, 100 are multiplied together. The number of zeros at the end of the product must be :

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7) What is 394 times 113 ?

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8) Given n = 1 + x and x is the product of four consecutive integers. Then which of the following us true ? I. n is an odd integer. II. n is prime. III. n is a perfect square

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9) The number (248 – 1) is exactly divisible by two numbers between 60 and 70. The numbers are :

 

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10) What is the number of prime factors contained in the product 307 × 225 × 3411 ?

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11) 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 upto 1994. She ended on her

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12) 6 × 66 × 666 = ?

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13) 414 × ? × 7 = 127512

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14) 38649 – 1624 – 4483 = ?

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15) (46)2 – (?)2 = 4398 – 3066

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16) n being any odd number greater than 1, n65 – n is always divisible by :

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17) Let x be the product of two numbers 3, 659, 893, 456, 789, 325, 678 and 342, 973, 489, 379, 256. The number of digits in x is :

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18) If 6*43 – 46@9 = 1904, which of the following should come in place of * ?

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19) What is 786 times 964 ?

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20) Which one of the following is a prime number ?

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21) When the square of any odd number, greater than 1, is divided by 8, it always leaves remainder :

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22) A number divided by 68 gives the quotient 260 and remainder zero. If the same number is divided by 65, the remainder is :

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23) What minimum value should be assigned to *, so that 2361*48 is exactly divisible by 9 ?

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24) The largest natural number, which exactly divides the product of any four consecutive natural numbers, is :

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25) The unit’s digit of 132003 is :

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26) The numbers 1, 2, 3, 4, ……, 1000 are multiplied together. The number of zeros at the end (on the right) of the product must be :

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27) 7 is added to a certain number; the sum is multiplied by 5 ; the product is divided by 9 and 3 is subtracted from the quotient. Thus, if the remainder left is 12, what was the original number ?

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28) (71 × 29 + 27 × 15 + 8 × 4) equals :

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29) What is the remainder when 461 is divided by 51 ?

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30) 12345679 × 72 is equal to :

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31) Which one of the following numbers is divisible by 3 ?

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32) 1260 ÷ 14 ÷ 9 = ?

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33) A number when divided by 195 leaves a remainder 47. If the same number is divided by 15, the remainder will be :

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34) If all the numbers from 501 to 700 are written, what is the total number of times the digit 6 appears ?

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35) The number of prime factors in the expression 610 × 717 × 1127 is equal to :

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36) 8899 – 6644 – 3322 = ? – 1122

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37) 74844 ÷ ? = 54 × 63

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38) Which of the following is a prime number ?

39 / 50

39) The number of prime numbers between 301 and 320 are :

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40) If the sum of two numbers is 14 and their difference is 10. Find the product of these two numbers.

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41) A 3-digit number 4a3 is added to another 3-digit number 984 to give the four-digit number 13b7, which is divisible by 11. Then, (a + b) is :

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42) 217 × 217 + 183 × 183 = ?

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43) The number 89715938* is divisible by 4. The unknown non-zero digit marked as * will be :

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44) 10531 + 4813 – 728 = ? × 87

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45) Find the multiple of 11 in the following numbers.

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46) If B > A, then which expression will have the highest value (given that A and B are positive integers)

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47) 884697 – 773697 – 102479 = ?

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48) If p is a prime number greater than 3, then (p2 – 1) is always divisible by :

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49) Consider the following statements for the sequence of numbers given below : 11, 111, 1111, 11111, ….. 1. Each number can be expressed in the form (4m + 3), where m is a natural number. 2. Some numbers are squares. Which of the above statements is/are correct ?

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50) Consider the following statements : 1. If x and y are composite numbers, then x + y is always composite. 2. There does not exist a natural number which is neither prime nor composite. Which of the above statements is/are correct ?

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