Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in **Number System**, which is common for all the competitive exams. We have included Some questions that are repeatedly asked in bank exams !!

**When a number is subtracted from the number 8,12 and 20, the remainders are in continued proportion, Find the number ?**

A)3

B)4

C)2

D)6

###### Answer

**B)4**

Explanation :

8-x / 12 –x = 12-x /20 –x

(8-x)(20-x) = (12 – x)(12 –x )

160 – 8x – 20x + x^{2 }= 144 – 12x – 12x + x^{2}

4x = 16

x = 4

**Sum of the three consecutive number is 1956. What is 23% of the highest number ?**

A)150.19

B)105.19

C)159.50

D)150.50

###### Answer

**A)150.19**

Explanation :

X+x+1+x+2 = 1956

3x = 1956 – 3 = 1953

X = 1953/3 = 651

X+3 = 653

23% of largest num = 23*653/100 = 150.19

**If the numerator of a fraction is increased by 100% and the denominator is increased by 200%. The resultant fraction is 1 (1/15), What was the original fraction ?**

A)1(4/3)

B)1(5/3)

C)1(3/5)

D)1(3/2)

###### Answer

**C)1(3/5)**

Explanation :

1(1/15) = 16/15

X+x/y+2y = 16/15

2x/3y = 16/15

x/y = (16*3) / (15*2) = 8/5 = 1(3/5)

**Which of the following number is divisible by 11 ?**

A)29435417

B)29435477

C)57463822

D)57648317

###### Answer

**A)29435417**

Explanation :(9+3+4+7) – (2+4+5+1) = 11

**The sum of square of 2 number is 1972 and the difference of their square is 620. Find the number ?**

A)33,26

B)34,25

C)36,26

D)38,28

###### Answer

**C)36,26**

Explanation :

X^{2}+y^{2}= 1972

X^{2}– y^{2}= 620

Solve ths

2x^{2 }= 2592

x^{2 }= 1296

x = 36

y^{2 }= 1972 – 1296

y^{2 }= 676

y = 26

**Product of one fourth of the number and 120% of another number is what % of the product of the original number ?**

A)35%

B)23%

C)32%

D)30%

###### Answer

**D)30%**

Explanation :

x/4 = one fourth of the no

120y/100 = another no = 6y/5

% = [(x/4 * 6y/5)*100] / xy

= 600/20 = 30%

**Find the 5 digit number, 5**.^{th}digit is one fourth of the 3^{rd}digit and one half of the 4^{th}digit. 3rd digit is one half of the 1^{st}digit. 2^{nd}digit is 5 more than the 5^{th}digit

A)12786

B)86421

C)46218

D)24675

###### Answer

**B)86421**

Explanation :

5^{th}digit – 1

Second – 1+5 = 6

Third = 4

Four = 2

First = 4*2 =8

**What is the no of zeroes at the end of the product of the no from1 to 100 ?**

A)20

B)22

C)24

D)25

###### Answer

**C)24**

Explanation :100/5 + 100/25 = 20+4 = 24

**x+y = 8 and x/y = 7 ,find y**

A)1

B)2

C)3

D)5

###### Answer

**A)1**

Explanation :

7y+y = 4

8y = 8

Y = 1

**If three numbers are added in pairs, the sums equal to 11,16 and 23.Find the three numbers**

A)8,6,16

B)9,2,14

C)9,5,14

D)7,2,8

###### Answer

**B)9,2,14**

Explanation :

X+y = 11

Y+z = 16

Z+x = 23

X+y+z = 25

X = 25 – 16 = 9

y = 25 – 23 = 2

z = 25 – 11 = 14

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