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SSC CGL Math Previous Year Number System Question with Solutions

Hi students, Welcome to Amans Maths Blogs (AMBIPi). Are you preparing for SSC CGL Tier 1 and 2 and looking for SSC CGL Exam Math Number System Question with Solutions AMBIPi? In this article, you will get Previous Year Mathematics Questions asked in SSC CGL Tier 1 and Tier 2, which helps you in the preparation of government job exams of SSC CGL.

SSC CGL Exam Math Number System Question with Solutions

SSC CGL Exam Math Question: 1

Fraction between 2/5 and 4/9 is 

Option A : 3/7

Option B : 2/3

Option C : 4/5

Option D : 1/2

Show/Hide Answer Key

Option A : 3/7

2/5 and 4/9 = 0.40 and 0.44

Fraction between these two = 3/7 = 0.42

SSC CGL Previous Year Math Questions: 2

2/3 of three-fourth of a number is :

Option A : 1/2 of the number

Option B : 1/3 of the number

Option C : 8/9 of the number

Option D : 17/12 of the number

Show/Hide Answer Key

Option A : 1/2 of the number

2/3 x 3/4 = 1/2 

SSC CGL Previous Year Math Paper: 3

If 3 times a number exceeds its 3/5 by 60, then what is the number ?

Option A : 25

Option B : 35

Option C : 45

Option D : 60

Show/Hide Answer Key

Option A : 25

3x – 3x/5 = 60 ⇒ 12x/5 = 60

⇒ x = 60/5 /12 = 25 

SSC CGL Mock Test Math Question: 4

Half of 1 per cent written as a decimal is—

Option A : 0.2

Option B : 0.02

Option C : 0.05

Option D : 0.005

Show/Hide Answer Key

Option D : 0.005

1/2 of 1% = 1/2 x 1/100 = 0.01/2 = 0/0.005

SSC CGL Free Mock Test Math Question: 5

A runner runs 1 1/4 laps of a 5 lap race. What fractional part of the race remains to be run?

Option A : 15/4

Option B : 4/5

Option C : 5/6

Option D : 2/3

Show/Hide Answer Key

Option A : 15/4

Remaining race = 5 – 1 1/4 laps = 5 – 5/4 laps = 15/4 laps 

SSC CGL Advance Math Question: 6

The product of two fractions is 14/15 and their quotient is 35/24. The greater fraction is—

Option A : 7/4

Option B : 7/6

Option C : 7/3

Option D : 4/5

Show/Hide Answer Key

Option B : 7/6

Given ,

a/b x c/d = 14/15

a/b x d/c = 35/24

Now multiplying both the equations

ac/bd x ad/bc = 14/15 x 35/24 ⇒ a2 / b2 = 49/36 ⇒ a/b = 7/6 

SSC CGL Math Previous Year Question: 7

What fraction of 4/7 must be added to itself to make the sum 1 1/14 

Option A : 7/8

Option B : 1/2

Option C : 4/7

Option D : 15/14

Show/Hide Answer Key

Option A : 7/8

4x/7 + 4/7 = 15/14 ⇒ 4x/7 = 15/14 – 4/7 = 15-8/14 = 1/2

x ⇒ 1/2 x 7/4 = 7/8

SSC CGL Math Question Paper: 8

If 4/5 of an estate to be worth Rs16800, then the value of 3/7 of it is 

Option A : Rs 90000

Option B : Rs 9000

Option C : Rs 72000

Option D : Rs 21000

Show/Hide Answer Key

Option B : Rs 9000

Let the value of estate be x According to the question

4/5 of x = 16800

x = 16800 x 5 /4 = Rs 21000

3/7 of the value = 21000 x 3/7

= 3000 x 3 = Rs 9000

Advance Math Question Asked in SSC CGL: 9

A boy on being asked what 6/7 of a certain fraction was, made the mistake of dividing the fraction by 6/7 and so got an answer which exceeded the correct answer by 13/ 70. Find the fraction–

Option A : 2/3

Option B : 3/5

Option C : 4/5

Option D : 7/9

Show/Hide Answer Key

Option B : 3/5

Let the fraction = x According to the question;

6/7 of x = x/6 – 13/70

⇒ 6x / 7 = 7x/6 – 13/70

⇒ 49x – 36 x /42 = 13/70 ⇒ 13 x /42 = 13/70

x = 13x 42/ 70x 13 = 3/5 

Previous Year Math Question Paper SSC CGL: 10

1/2 of 3/4 of a number is 2 1/2 of 10. What is the number?

Option A : 50

Option B : 60

Option C : 66 2/3

Option D : 56

Show/Hide Answer Key

Option C : 66 2/3

Let the number is x.
According to the question

1/2 of 3/4 of x = 2 1/2 of 10 

⇒ 3x/8 = 5/2 x 10 ⇒

x = 5x 10 x 8 / 3×2

= 200/3 = 66 2/3

SSC CGL Exam Math Number System Question: 11

If one-third of one-fourth of a number is 15, then three-tenth of the number is

Option A : 35

Option B : 36

Option C : 45

Option D : 54

Show/Hide Answer Key

Option D : 54

Let the number be x.

x / 3×4 = 15 ⇒ x = 15x 3x 4 = 180

Now, required number

= 3/10x = 3/10 = 180 = 54

SSC CGL Previous Year Math Number System Questions: 12

Express 45 minutes as the fraction of one day.

Option A : 1/40

Option B : 1/32

Option C : 1/60

Option D : 1/24

Show/Hide Answer Key

Option B : 1/32

1 day = 24 × 60 minutes
\ Required fraction

= 45/ 24X 60 = 1/32

SSC CGL Previous Year Math Number System Paper: 13

If 1 is added to the denominator of a fraction it becomes 1/2. If 1 is added to the numerator it becomes 1. The product of numerator and denominator of the fraction is

Option A : 6

Option B : 10

Option C : 12

Option D : 14

Show/Hide Answer Key

Option A : 6

Let the numerator = x and denominator = y
\ Fraction = x/y and x / y+1 = 1/2

⇒ 2x = y +1

⇒ x + 1 / y = 1

⇒ y + 1 / 2 +1 = y

⇒ y + 1 + 2 /2 = y

⇒ y +3 = 2y

y = 3

x+1 = 3

x = 2

xy = 2×3 = 6 

SSC CGL Mock Test Math Number System Question: 14

A student was asked to find 5/16 of a number By mistake he found 5/6 of that number. His answer was 250 more than the correct answer. Find the given number.

Option A : 300

Option B : 480

Option C : 450

Option D : 500

Show/Hide Answer Key

Option B : 480

x x 5/6 – x – 5/16 = 250

⇒ 40 x – 15 x / 48 = 250

⇒ 25x / 48 = 250

⇒ 25 x / 48 = 250

⇒ x = 250 x 48 / 25 = 480 

SSC CGL Free Mock Test Math Number System Question: 15

In an examination, a student was asked to find 3/14 of a certain number, By mistake, he found 3/4 of it. His answer was 150 more than the correct answer. The given number is

Option A : 500

Option B : 280

Option C : 240

Option D : 180

Show/Hide Answer Key

Option B : 280

Let the number be x.
Then,

3/4 – 3/14 x = 150

⇒ 21x – 6x / 28 = 150

⇒ 15x = 28 x 150

⇒ x = 28 x 150 / 15 = 280 

SSC CGL Advance Math Number System Question: 16

The product of two fractions is 14/15 and their quotient is 35/24 .The greater of the fractions is

Option A : 7/4

Option B : 7/6

Option C : 7/3

Option D : 4/5

Show/Hide Answer Key

Option B : 7/6

Let the fractions be x and y,
where x > y

xy = 14/15 and

xy = 35/24

xy x x/y

= 14/15 x 35/24

x = 7/6

SSC CGL Math Previous Year Number System Question: 17

If the difference between the reciprocal of a positive proper fraction and the fraction itself be 9/20 then the fraction is

Option A : 3/5

Option B : 3/10

Option C : 4/5

Option D : 5/4

Show/Hide Answer Key

Option C : 4/5

The required fraction is 4/5 because 5/4 – 4/5 = 25-16/20 = 9/20 

SSC CGL Math Number System Question Paper: 18

A boy was asked to find 3/5 of a fraction. Instead, he divided the fraction by 3/5 and got an answer which exceeded the correct answer by 32/75. The correct answer is

Option A : 3/25

Option B : 6/25

Option C : 2/25

Option D : 2/15

Show/Hide Answer Key

Option B : 6/25

Let the fraction be x,
According to the question,

Correct answer = 2/5 X 3/5 = 6/25

Advance Math Number System Question Asked in SSC CGL: 19

The number 0.121212…. in the form p/q is equal to 

Option A : 4/11

Option B : 2/11

Option C : 4/33

Option D : 2/33

Show/Hide Answer Key

Option C : 4/33

0.121212 ….

= 0.12 =12/99 = 4/33

Previous Year Math Number System Question Paper SSC CGL: 20

Find a number, one-seventh of which exceeds its eleventh part by 100.

Option A : 1925

Option B : 1825

Option C : 1540

Option D : 1340

Show/Hide Answer Key

Option A : 1925

Let the number be x.

x/7 – x/11 = 100

⇒ 11x – 7x / 11x 7 = 100

⇒ 4x = 77 x 100

⇒ x = 77 x 100 / 4 = 1925

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