Number System Questions with Solutions

Number System Questions with Answers and Solutions – Free Mock Test for Online Practice. MCQs from SSC CGL, CHSL, GD Previous papers for competitive Exams preparation.

Quiz : Number System
Subject : Quantitative Aptitude (Maths)
Objective Questions with Solutions
Free online practice Set of all type important and repeated questions

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#1. Arrange $\frac45,\frac78,\frac67,\frac56$ in the ascending order.

\(\frac45,\frac78,\frac67,\frac56\)

\(\frac56,\frac67,\frac78,\frac45\)

\(\frac45,\frac56,\frac67,\frac78\)

\(\frac78,\frac67,\frac56,\frac45\)

#2. The sum of four consecutive even numbers is 748. The smallest among them is

188

186

184

174

#3. Arrange $\frac45,\frac78,\frac67,\frac56$ in the ascending order.

\(\frac45,\frac78,\frac67,\frac56\)

\(\frac56,\frac67,\frac78,\frac45\)

\(\frac45,\frac56,\frac67,\frac78\)

\(\frac78,\frac67,\frac56,\frac45\)

#4. Unit digit in (264)¹⁰² + (264)¹⁰³ is :

0

4

6

8

#5. The digit in unit’s place of the number (1570)² + (1571)² + (1572)² + (1573)² is :

4

2

1

3

#6. If a number is as much greater than 31 as it is less than 75, then the number is :

106

44

74

53

#7. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?

8

2

1

4

#8. The greatest among the following numbers $(3)^\frac13$ , $(2)^\frac12$ ,1, $(6)^\frac16$ is

\((2)^\frac12\)

1

\((6)^\frac16\)

\((3)^\frac13\)

#9. The greatest among the following numbers $(3)^\frac13$ , $(2)^\frac12$ ,1, $(6)^\frac16$ is

\((2)^\frac12\)

1

\((6)^\frac16\)

\((3)^\frac13\)

#10. The greatest value among the fractions $\frac27, \frac13,\frac56, \frac34$

\(\frac34\)

\(\frac56\)

\(\frac13\)

\(\frac27\)

#11. The greatest value among the fractions $\frac27, \frac13,\frac56, \frac34$

\(\frac34\)

\(\frac56\)

\(\frac13\)

\(\frac27\)

#12. Which of the following number is the greatest of all? $0.9,0.{\overline9},0.0{\overline9},0.\overline{09}$

0.9

\(0.{\overline9.}\)

\(0.0{\overline9}\)

\(0.\overline{09}\)

#13. Which of the following number is the greatest of all? $0.9,0.{\overline9},0.0{\overline9},0.\overline{09}$

0.9

\(0.{\overline9.}\)

\(0.0{\overline9}\)

\(0.\overline{09}\)

#14. Which of the following is the smallest fraction? $\frac67, \frac56, \frac78, \frac45$

\(\frac67\)

\(\frac45\)

\(\frac56\)

\(\frac78\)

#15. Which of the following is the smallest fraction? $\frac67, \frac56, \frac78, \frac45$

\(\frac67\)

\(\frac45\)

\(\frac56\)

\(\frac78\)

#16. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :

28

24

27

31

#17. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :

130

150

50

30

#18. If a = 4011 and b = 3989, then the value of ab = ?

15999879

15899879

15989979

15998879

#19. How many numbers between 400 and 800 are divisible by 4, 5 and 6?

7

8

9

10

#20. (4⁶¹ + 4⁶² + 4⁶³) is divisible by

3

11

13

17

#21. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345 is :

50

6

60

5

#22. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?

0

1

11

12

#23. 4⁶¹+ 4⁶² + 4⁶³ + 4⁶⁴ is divisible by

2

10

11

13

#24. (49)¹⁵ – 1 is exactly divisible by

50

51

29

8

#25. The number 9⁶ – 11 when divided by 8 would leave a remainder of

0

1

6

3

#26. Divide 50 into two parts so that the sum of their reciprocals is $\frac{1}{12}$

35,15

20,30

24,36

28,22

#27. Divide 50 into two parts so that the sum of their reciprocals is $\frac{1}{12}$

35,15

20,30

24,36

28,22

#28. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?

\(\frac{x}{z}\)

\(\frac{z}{x}\)

1-\(\frac{x}{z}\)

\(\frac{x}{z}\)-1

#29. In a school $\frac{1}{10}$ of the boys are same in number as $\frac14$ of the girls and $\frac58$ of the girls are same in number as $\frac14$ of the boys. The ratio of the boys to girls in that school is :

2 : 1

5 : 2

4 : 3

3 : 2

#30. In a school $\frac{1}{10}$ of the boys are same in number as $\frac14$ of the girls and $\frac58$ of the girls are same in number as $\frac14$ of the boys. The ratio of the boys to girls in that school is :

2 : 1

5 : 2

4 : 3

3 : 2

#31. A student was asked to multiply a given number by $\frac{8}{17}$ Instead, he divided the number by $\frac{8}{17}$ His answer was 225 more than the correct answer. The given number was :

64

289

136

225

#32. A student was asked to multiply a given number by $\frac{8}{17}$ Instead, he divided the number by $\frac{8}{17}$ His answer was 225 more than the correct answer. The given number was :

64

289

136

225

#33. The rational number between $\frac12$ and $\frac35$ is

\(\frac25\)

\(\frac47\)

\(\frac23\)

\(\frac13\)

#34. The rational number between $\frac12$ and $\frac35$ is

\(\frac25\)

\(\frac47\)

\(\frac23\)

\(\frac13\)

#35. The product of two fractions is $\frac{14}{15}$ and their quotient is $\frac{35}{24}$ The greater of the fractions is :

\(\frac74\)

\(\frac76\)

\(\frac73\)

\(\frac45\)

#36. The product of two fractions is $\frac{14}{15}$ and their quotient is $\frac{35}{24}$ The greater of the fractions is :

\(\frac74\)

\(\frac76\)

\(\frac73\)

\(\frac45\)

#37. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :

320

360

400

440

#38. Six numbers are arranged in decreasing order. The average of the first five numbers is 30 and the average of the last five numbers is 25. The difference of the first and the last numbers is :

20

25

5

30

#39. Find the unit digit in the product

(4387)²⁴⁵ × (621)⁷²

1

2

5

7

#40. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?

25

26

27

28

#41. The length of a road is one kilometre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is

102

100

51

50

#42. Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is

15

20

25

10

#43. The sum of a natural number and its square equals the product of the first three prime numbers. The number is

2

3

5

6

#44. Instead of multiplying a number by 0.72, a student multiplied it by 7.2. If his answer was 2592 more than the correct answer, then the original number was :

400

420

500

560

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

47649

47719

47619

48619

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