Number System - Set 6

Number System – Set 6

Dear ! This is Number System – Set 6 Quiz and it contains 50 questions.

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1) The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is ?

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2) The sum of the cubes of two numbers in the ratio 3 : 4 is 5824. The sum of the numbers is :

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3) The sum of four consecutive even numbers is 748, The smallest among them is –

183

184

182

181

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4) (271 + 272 + 273 + 274) “> (271 + 272 + 273 + 274)

is divided by :

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5) The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19. Find the first term :

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6) A six digit number is formed by repeating a three digit number : For example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible by –

1002 only

1001 only

999 only

1000 only

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7) A number when divided by 729 given a remainder of 56. What will we get as remainder if the same number is divided by 27 ?

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8) A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is –

210030

220030

230030

240030

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9) Of the three numbers, the sum of the first two is 55, sum of the second and third is 65, and sum of third with thrice of the first is 110. The third number is-

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10) A number x when divided by 289 leave 18 as the remainder. The same number when divided by 17 leaves y as a remainder. the value of y is :

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11) If the digit in the unit and the ten’s places of a two digit number are interchanged, a new number is formed, which is grater then the original number by 63. Suppose the digit in the unit place of the original number the x. Then all the possible value of x are –

8,5,4

9,4,6

7,8,9

3,4,6

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12) If 1³ + 2³ + …..+ 10³ = 3025, then the value of 2³ + 4³ +…..+ 20³ is :

23500

24200

21300

22400

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13) Sum of three consecutive integers is 51. The middle one is –

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14) The product of two positive integers is 2048 and one of them is twice the other. Then the small of the number is :

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15) How many digit required to write numbers from 1 to 50 ?

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16) The sum of two numbers is 75 and their difference is 25. The product of the two numbers is :

1150

1350

1250

1050

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17) 110 “> 1 /10 of a rod is coloured red, 120 “> 1 /20 orange, 130 “> 1 /30 yellow, 140 “> 1 /4 0 green, 150 “> 1 /50 blue, 160 “> 1 /60 black and the rest is violet. If the length of the violet part of the rod is 12.08 mtr, then the length of the rod is -

16m

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18) Among the following statements, the statement which is ‘not correct’ is :

Every natural number is an integer

Every real number is a rational number

Every natural number is a real number

Every integer is a rational number

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19) If the some of a number and its reciprocal be 2 then number is = ?

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20) While solving a problem, by mistake, Anita squared a number and then subtracted 25 from it rather than first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?

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21) The digit in unit’s place of the product 81 × 82 × 83 × ….. × 89 is :

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22) The last digit of (1001)²⁰⁰⁸ + (1002) = ?

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23) The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is :

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24) The divisor is 25 times of the quotient and 5 times the remainder. If the quotient is 16, the dividend is-

6345

6576

6543

6480

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25) Which of the following fraction is greater than

34 “> 3 /4

but less than

56 “> 5 /6

1/3

7/9

5/6

4/5

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

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27) 12345679 × 72 is equal to –

888888888

999999998

888888889

899999898

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28) The number 142² – 1 is divisible by :

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29) If the difference between the reciprocal of a positive proper fraction and fraction itself be

1772 “> 17 /72

, then the fraction is –

8/9

7/5

9/4

6/7

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30) Which of the following is a perfect square ?

1046529

1046525

1046528

1046523

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31) If the product of two positive numbers be 1575 and their ration is 7 : 9, then the greatest number is?

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32) Each member of a club contributes as much rupees and as much paise as the number of members of the club. If the total contribution is Rs. 2525, then the number of members of the club is :

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33) The number 0.121212 . . . . . in the form $p q “> p /q$ is equal to –

4/44

4/22

4/33

4/11

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34) There are 50 boxes and 50 persons. Person 1 keeps 1 marble in every box, person 2 keeps 2 marbles in every 2nd box, person 3 keeps 3 marbles in every third box. The process goes on till person 50 keeps 50 marbles in the 50th box. Find the total number of marbles kept in the 50th box.

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35) Number 2, 4, 6, 8, 10…..196, 198, 200 are multiplied together. The number of zeros at the end of the product on the right will be equal to –

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36) The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is –

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37) The real number to be added to 13851 to get a number which is divisible by 87 is :

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38) The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is :

155

175

185

255

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39) If n is an integer, then (n³ – n) is always divisible by :

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40) The sum of three consecutive odd natural numbers each divisible by 3 is 63. What is the largest among them ?

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41) 0.1 and

58 “> 5 /8

of a bamboo are in mud and water respectively and the rest length 2.75 m is above water. What is the length of the bamboo ?

15m

20m

10m

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42) Sum of two numbers is thrice their difference. Their ratio is :

2 : 1

3 : 1

2 : 3

1 : 3

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43) The difference between the greatest and the least four digit numbers that begins with 3 and ends with 5 is :

770

880

550

990

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44) The sum of three numbers is 2, the 1^st number is 1/2times the 2^nd and the 3^rd number is

14 “> 1 /4

times the 2^nd number. The 2^nd number is?

9/6

7/8

8/7

6/5

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45) A girl was asked to multiply a number by $78 “> 7 /8$ , instead she divided the number by $78 “> 7 /8$ and got the result 15 more than the correct result. The sum of the digits of the number was –

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46) If p = – 0.12, q = – 0.01 and r = – 0.015, then the correct relationship among the three is :

p < q < r

p < r < q

q > p > r

p > r > q

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47) If two numbers are each divided by the same divisor, the remainder are respectively 3 and 4. If the sum of two numbers be divided by the same divisor, the remainder is 2. The divisor is?

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48) The smallest possible three placed decimal is-

0.342

0.213

None of these

0.212

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49) The digit at Hundred’s place value of 17! is :

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50) If in a three digits number the last two digits places are interchanged a new number is formed which is greater than the original number by 45. What is the difference between the last two digits of that number ?