Number System – Set 3

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Number System – Set 3

Dear ! This is Number System – Set 3  Quiz and it contains 50 questions.

Happy Learning!

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1) What least number must be added to 1056 to get a number exactly divisible by 23 ?

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2) The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is :

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3) Among the following statements, the statement which is not correct is :

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4) The numbers from 1 to 29 are written side by side as follows : 1234567891011121314…..2829 If this number is divided by 9, then what is the remainder ?

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5) 287 × 287 + 269 × 269 – 2 × 287 × 269 = ?

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6) If the seven digit number 876p37q is divided by 225, then the value of p and q respectively are :

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7) The greatest number by which the product of three consecutive multiples of 3 is always divisible is :

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8) Given that (12 + 22 + 32 + ….. + 202) = 2870, the value of (22 + 42 + 62 + … + 402 ) is :

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9) 2“>√2 is a/an-

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

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11) If x is a rational number and y is an irrational number, then-

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12) Which of the following numbers is divisible by 3, 7, 9 and 11 ?

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13) The smallest three-digit prime number is :

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14) 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, …. is :

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15) 1234 + 2345 – 3456 + 4567 = ?

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16) If m = – 4, n = – 2, then the value of m3 – 3m2 + 3m + 3n + 3n2 + n3 is :

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17) If the number 357*25* is divisible by both 3 and 5, then the missing digits in the unit’s place and the thousandth’s place respectively are :

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18) How many prime numbers are there between 100 to 200 ?

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19) If a number is divisible by both 11 and 13, then it must be necessarily :

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20) 2525 is divided by 26, the remainder is :

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21) What is the remainder when 231 is divided by 5 ?

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22) Which of the following digits will replace the H marks in the following equation ? 9H + H8 + H6 = 230

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23) If a + b + c = 0, (a + b) (b + c) (c + a) equals

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24) What is sum of all natural numbers from 1 to 100 ?

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25) If a and b are positive integers, a > b and (a + b)2 – (a – b)2 > 29 Then the smallest value of a is –

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26) How many numbers less than 1000 are multiple of both 10 and 13 ?

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27) The digit in the unit’s place of the product (2464)1793 × (615)317 × (131)491 is :

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28) The digits indicated by * in 3422213** so that this number is divisible by 99 are :

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29) 397 × 397 + 104 × 104 + 2 × 397 × 104 = ?

 

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30) If (1012 + 25)2 – (1012 – 25)2 = 10n, then the value of n is :

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31) If p3 – q3 = (p – q) (p – q)2 – xpq, then find the value of x :

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32) If x and y are two digits of the number 653xy such that the number is divisible by 80, then x + y is equal to :

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33) (46351 – 36418 – 4505) ÷ ? = 1357

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34) The number of times 99 is subtracted from 1111 so that the remainder is less then 99 is :

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35) (xn – an) is divisible by (x – a)

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36) Two numbers when divided by a certain divisor leave the remainders 4375 and 2986 respectively but when the sum of two numbers is divided by the same divisor, the remainder is 2361. The divisor in question is :

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37) While writing all the numbers from 700 to 1000, how many numbers occur in which the first digits greater than the second digit, and the second digit is greater than the third digit ?

 

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38) For the integer n, if n3 is odd, then which of the following statements are true ? I. n is odd II. n2 is odd III. n2 is even

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39) The digit in the unit’s place of [(251)98 + (21)29 – (106)100 + (705)35 – 164 + 259] is :

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40) If a = 7, b = 5, c = 3, then the value of a2 + b2 + c2 – ab – bc – ca is :

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41) P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q = ?

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42) A 9 digit number in which zero does not appear and no digits are repeated has the following properties: The number comprising the left most two digits is divisible by 2, that comprising the left most three digits is divisible by 3, and so on?

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43) 8 + 88 + 888 + 8888 + 88888 + 888888 = ?

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44) The remainder obtained when any prime number greater than 6 is divided by 6 must be :

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45) (461 + 462 + 463 + 464) is divisible by :

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46) Which of the following numbers is exactly divisible by 24 ?

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47) In the relation x > y + z, x + y > p and z < p, which of the following is necessarily true ?

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48) If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is/are true ? I. n is odd II. n is prime III. n is a perfect square

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49) The digit in the unit’s place of the number (67)25 – 1 must be –

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50) (800 ÷ 64) × (1296 ÷ 36) = ?

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