# Quants Questions : Number System Set 3

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 !!

1. 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

2. (6084)1/2  = ?
A)78
B)±78
C)72
D) )±72
B)±78

3. 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

4. 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

5. 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

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

7. 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

8. 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

9. (a-b) = 1, (b-c) = 2 and (c-a) = 3 then the value of (a3+b3+c3-3abc)/(a+b+c) is
A)5
B)6
C)7
D)8
C)7
Explanation :
(a3+b3+c3-3abc)/(a+b+c) =1/2[(a-b)2+(b-c)2+(c-a)2]
= ½(1+4+9) = 14/2 = 7

10. 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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