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 !!!

**Two third of a positive number and 25/216 of its reciprocal are equal.****The number is**

A)12/5

B)25/144

C)5/12

D)144/25Answer –**C)5/12**

Explanation :

(2/3)x = (25/216)(1/x)

X^2 = (25Ã—3)/(216Ã—2) = 25/144

X = 5/12**If 2(1/2) is added to a number and the sum multiplied by 4(1/2)and 3 is added to the product and then divide the sum by 1(1/5), the quotient becomes 25 .What is the number ?**

A)5(1/2)

B)4(1/2)

C)2(1/2)

D)3(1/2)**Answer -D) 3(1/2)**

Explanation :

{4(1/2)[X+2(1/2)]+3}/[1(1/5)] = 25

(9X/2)+(45/4)+3 = 25Ã—(6/5)

9X/2 =63/4

X=7/2 or 3(1/2)**In a division sum ,the divisor is 3 times the quotient and 6 times the remainder.If the remainder is 2 then the dividend is**

A)36

B)40

C)45

D)50**Answer -D) 50**

Explanation :

Divident = Quotient Ã— Divisor +Remainder

Divisor = 6Ã—2 = 12

Q = 12/3 =4

Divident = 4Ã—12+3 =48+2 = 50**The sum of two number is 24.The greatest product of these two numbers canÂ be**

A)124

B)144

C)164

D)140**Answer -B) 144**

Explanation :

X + Y = 24

Greatest Product then x and y must be equal

Possibility of getting 24

12+12= 24

12Ã—12 = 144**Twenty times a positive integer is less than its square by 96.What is the integer ?**

A)24

B)4

C)-24

D)-4**Answer -A) 24**

Explanation :

X^2 â€“ 20X = 96

X^2-20X-96 = 0

(X-24)(X+4) = 0

X= 24, -4

positive integer = 24**If (a-b) 3, (b-c) = 5 and (c-a) = 1 then the value of (a^3+b^3+c^3-3abc)/(a+b+c)**

A)17

B)17.5

C)18

D)18.5**Answer -B) 17.5**

Explanation :

**The product of the 2 consecutive odd number is 6723.What is the greater number ?**

A)80

B)81

C)82

D)83**Answer – D) 83**

Explanation :

X Ã—(X+2) = 6723

X^2 + 2X = 6723

X^2+2X-6723 = 0

(X â€“ 81)(X+83) = 0

**Greatest number = 83****The sum of three number is 264. If the first number be twice the second and third number be one third of the first then the second number is**

A)82

B)72

C)76

D)87**Answer -B) 72**

Explanation :

2X+X+(2X/3) = 264

(6X+3X+2X)/3 = 264

11X/3 = 264

X= (264Ã—3)/11 = 72**If the number obtained on interchanging the digits of a 2 digit number is 18 more than the original number and the sum of the digit is 8.Then what is the original number?**

A)35

B)53

C)32

D)34**Answer -A) 35**

Explanation :

Unit digit= x ;Â Tenâ€™s digit = (8-x)

[10(8-x)+x] â€“ [10x+(8-x)] = 18

80-10x+x-10x-8+x = 18

-18x = 18-80+8

18x = 54

X = 54/18 = 3

8 â€“ x = 8 â€“ 3 =5

Hence the number is 35**The sum of three consecutive multiple of 4 is 72 .What is the largest number ?**

A)26

B)20

C)28

D)14**Answer -C) 28**

Explanation :

4x+(4x+4)+(4x+8) = 72

12x+12 = 72

X=(72-12)/12

X=5

Largest number = 4(5)+8 = 20+8 = 28

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