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SSC CGL Free Mock Test Math 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 Free Mock Test 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

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

Option A : 50

Option B : 6

Option C : 60

Option D : 5

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Option B : 6

The largest 4-digit number= 9999
Required number = 345 – 339= 6

SSC CGL Previous Year Math Questions: 2

The difference of a number consisting of two digits from the number formed by interchanging the digits is always divisible by

Option A : 10

Option B : 9

Option C : 11

Option D : 6

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Option B : 9

Let the number be 10x + y where y < x.
Number obtained by interchanging the digits = 10y + x
Difference = 10x + y – 10y – x= 9x – 9y = 9 (x – y)
Hence, the difference is always exactly divisible by 9.

SSC CGL Previous Year Math Paper: 3

Which one of the numbers is di-visible by 25 ?

Option A : 303310

Option B : 373355

Option C : 303375

Option D : 22040

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Option C : 303375

SSC CGL Mock Test Math Question: 4

The least number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is

Option A : 132

Option B : 32

Option C : 43

Option D : 75

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Option A : 132

307 × 32 = 9824
307 × 33 = 10131
Required number= 10131 – 9999 = 132

SSC CGL Free Mock Test Math Question: 5

If a = 4011 and b = 3989 then value of ab = ?

Option A : 15999879

Option B : 15899879

Option C : 15989979

Option D : 15998879

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Option A : 15999879

a = 4011, b = 3989
ab = 4011 × 3989= (4000 + 11) (4000 – 11)= (4000)2 – (11)2 = 16000000 – 121 = 15999879

SSC CGL Advance Math Question: 6

For any integral value of n, 32n+ 9n + 5 when divided by 3 will leave the remainder

Option A : 1

Option B : 2

Option C : 0

Option D : 5

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Option B : 2

SSC CGL Math Previous Year Question: 7

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

Option A : 130

Option B : 150

Option C : 50

Option D : 30

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Option D : 30

A cow and a hen each has a head.
If the total number of cows be x, then
Number of hens = 180 – x A cow has four legs and a hence
has two legs.
(180 – x) × 2 + 4x = 420
Þ 360 – 2x + 4x = 420
Þ 2x = 420 – 360 = 60 Þ x =602= 30

SSC CGL Math Question Paper: 8

The number which can be writ- ten in the form of n (n + 1) (n + 2), where n is a natural number, is

Option A : 7

Option B : 3

Option C : 5

Option D : 6

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Option D : 6

On putting n = 1 n(n +1) (n + 2) = 1 × 2 × 3 = 6

Advance Math Question Asked in SSC CGL: 9

A number when divided by 2736 leaves the remainder 75. If the same number is divided by 24, then the remainder is

Option A : 12

Option B : 3

Option C : 0

Option D : 23

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Option D : 23

2736 ÷ 24 = 114
Hence, first divisor (2736) is a
multiple of second divisor (24).
Required remainder = Remainder obtained on
dividing 75 by 24 = 3

Previous Year Math Question Paper SSC CGL: 10

The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 and 7 are sub- tracted from the 3rd and 4th, the numbers will be equal. The numbers are

Option A : 9, 7, 15, 17

Option B : 4, 12, 12, 20

Option C : 5, 11, 13, 19

Option D : 16, 10, 14, 18

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Option D : 16, 10, 14, 18

SSC CGL Exam Math Number System Question: 11

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

Option A : 28

Option B : 24

Option C : 27

Option D : 31

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Option B : 24

Required number = 27 – 3 = 24

SSC CGL Previous Year Math Number System Questions: 12

A number when divided by 361 gives a remainder 47. If the same number is divided by 19, the re- mainder obtained is

Option A : 3

Option B : 8

Option C : 9

Option D : 1

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Option C : 9

Here, the first divisor (361) is a multiple of second divisor (19).
Required remainder = Remainder obtained on dividing 47 by 19 = 9

SSC CGL Previous Year Math Number System Paper: 13

Which one of the following is the minimum value of the sum of two integers whose product is 24?

Option A : 25

Option B : 11

Option C : 8

Option D : 10

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Option D : 10

xy = 24
(x, y)= (1 × 24), (2 ×12), (3 × 8), (4 × 6)
Minimum value of (x + y)= 4 + 6 = 10.

SSC CGL Mock Test Math Number System Question: 14

If the sum of the digits of a three digit number is subtracted from that number, then it will always be divisible by

Option A : 3 only

Option B : 9 only

Option C : Both 3 and 9 only

Option D : All of 3, 6 and 9

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Option C : Both 3 and 9 only

Let the 3–digit number be
100x + 10y + z.
Sum of the digits = x + y + z
According to the question,
Difference= 100x + 10y + z – (x + y + z)= 99x + 9y= 9 (11x + y)
Clearly, it is a multiple of 3 and9.

SSC CGL Free Mock Test Math Number System Question: 15

The greater of the two numbers whose product is 900 and sum exceeds their difference by 30 is

Option A : 60

Option B : 75

Option C : 90

Option D : 100

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Option A : 60

SSC CGL Advance Math Number System Question: 16

In a division sum, the divisor ‘d’ is 10 times the quotient ‘q’ and 5 times the remainder ‘r’. If r = 46, the dividend will be

Option A : 5042

Option B : 5328

Option C : 5336

Option D : 4276

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Option C : 5336

According to the question,
Divisor (d) = 5r = 5 × 46 = 230
Again, Divisor (d) = 10 × Quotient (q)
Þ 230 = q × 10
Þ q =23010 = 23
\ Dividend = Divisor × Quotient+ Remainder= 230 × 23 + 46= 5290 + 46 = 5336

SSC CGL Math Previous Year Number System Question: 17

If the sum of a number and its reciprocal be 2, then the number is

Option A : 0

Option B : 1

Option C : -1

Option D : 2

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Option B : 1

SSC CGL Math Number System Question Paper: 18

When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be

Option A : 6

Option B : 7

Option C : 5

Option D : 3

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Option C : 5

First divisor (56) is a mul-tiple of second divisor (8).Required remainder= Remainder obtained after dividing 29 by 8 = 5

Advance Math Number System Question Asked in SSC CGL: 19

A positive number when de-creased by 4, is equal to 21 times the reciprocal of this number. The number is :

Option A : 3

Option B : 7

Option C : 5

Option D : 9

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Option B : 7

Previous Year Math Number System Question Paper SSC CGL: 20

When n is divided by 4, the remainder is 3. The remainder when 2n is divided by 4 is 

Option A : 1

Option B : 2

Option C : 3

Option D : 6

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Option D : 2

Let quotient be 1.n = 4 × 1 + 3 = 7
2n = 2 × 7 = 14,On dividing 14 by 4, remainder= 2

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