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 / 50

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

24200

22400

23500

21300

2 / 50

2) Which of the following fraction is greater than

34 “> 3 /4

but less than

56 “> 5 /6

5/6

1/3

4/5

7/9

3 / 50

3) 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?

7/8

9/6

8/7

6/5

4 / 50

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

5 / 50

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

1250

1150

1350

1050

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

4/11

4/22

4/44

4/33

7 / 50

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

2 : 3

3 : 1

2 : 1

1 : 3

8 / 50

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

9 / 50

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

10 / 50

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

11 / 50

11) Which of the following is a perfect square ?

1046523

1046525

1046528

1046529

12 / 50

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

13 / 50

13) 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 :

14 / 50

14) 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 –

220030

240030

210030

230030

15 / 50

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

16 / 50

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

17 / 50

17) 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-

18 / 50

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

19 / 50

19) 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 :

20 / 50

20) 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 –

21 / 50

21) (271 + 272 + 273 + 274) “> (271 + 272 + 273 + 274)

is divided by :

22 / 50

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

23 / 50

23) 12345679 × 72 is equal to –

899999898

999999998

888888888

888888889

24 / 50

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

25 / 50

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

1772 “> 17 /72

, then the fraction is –

9/4

8/9

7/5

6/7

26 / 50

26) 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

27 / 50

27) The number 142² – 1 is divisible by :

28 / 50

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

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30) 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

3,4,6

7,8,9

9,4,6

31 / 50

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

32 / 50

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

Every real number is a rational number

Every integer is a rational number

Every natural number is an integer

Every natural number is a real number

33 / 50

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

34 / 50

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

6576

6345

6543

6480

35 / 50

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

181

183

182

184

36 / 50

36) 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?

37 / 50

37) 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 ?

38 / 50

38) The smallest possible three placed decimal is-

0.213

None of these

0.342

0.212

39 / 50

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

p < r < q

p > r > q

q > p > r

p < q < r

40 / 50

40) 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 ?

10m

20m

15m

41 / 50

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

42 / 50

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

43 / 50

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

770

550

880

990

44 / 50

44) 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 ?

45 / 50

45) 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

1000 only

999 only

1001 only

46 / 50

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

47 / 50

47) 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

48 / 50

48) 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.

49 / 50

49) 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 :

50 / 50

50) 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 –