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 !!

**What is the number if 60% of it added to 60 gives the number itself ?**

A)150

B)160

C)170

D)180

**A)150**

Explanation :

From ans…150

40% of numb = 60

60% of 150 = 90

90+60 = 150

**(6084)**^{1/2 }= ?

A)78

B)±78

C)72

D) )±72

**B)±78**

**9/16 of a number is 51 greater than 50% of the number, then the number is**

A)618

B)168

C)816

D)186

**C)816**

Explanation :

(9x/16)-(x/2) = 51

X = 51*16 = 816

**The sum of the number and its square is 1406. What is the number ?**

A)47

B)42

C)32

D)37

**D)37**

Explanation :

See the last digit 06…..go for 7

Last digit ..37+(37*37) = 7+49 = 16

So ans: 37

**The number is 0.01 is how many times as great as the number (0.0001)**^{2 }

A)10^5

B)10^6

C)10^4

D)10^3

**B)10^6**

Explanation :

0.01 = 10^-2

(0.0001)^{2 }= 10^-8

10^-2/10^-8 = 10^6

**In a bag there are coins of 25 paise and 10 paise in the ratio of 5:16. If the bag contains Rs.16 then the number of 10 paise coin is**

A)86

B)87

C)88

D)90

**D)90**

Explanation :

25*5+10*16 = 285

Rs 16 = 1600

No of 10p = 1600*16/285 = 89.82 = 90

**a+b = c and abc = 30, then what is the value of a^3 + b^3 – c^3 ?**

A)60

B)90

C)-90

D)-60

**C)-90**

Explanation :a^3 + b^3 – c^3 = -3(abc) = -3(30) = -90

**a^2 + b^2 + c^2 = ab + bc + ca then the value of (a+b)/(b+c) is**

A)1

B)2

C)3

D)4

**A)1**

Explanation :

Equation will be satisfied when a=b=c=1

(a+b)/c = (1+1)/(1+1) = 2/2 = 1

**(a-b) = 1, (b-c) = 2 and (c-a) = 3 then the value of (a**^{3}+b^{3}+c^{3}-3abc)/(a+b+c) is

A)5

B)6

C)7

D)8

**C)7**

Explanation :

(a^{3}+b^{3}+c^{3}-3abc)/(a+b+c) =1/2[(a-b)^{2}+(b-c)^{2}+(c-a)^{2}]

= ½(1+4+9) = 14/2 = 7

**If *=+, /=-, + = *, – = / then 43*561+500-100/10 = ?**

A)3211

B)2388

C)2883

D)2838

**D)2838**

Explanation :

43*561+500-100/10 = 43+561*500/100-10 = 43+561*5-10

= 43+2805-10 =2838

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