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 !!

**The sum of 3 consecutive even number is 40 more than the average of these numbers. Which of the following is the 2**^{nd}largest number ?

A)18

B)20

C)22

D)24**B)20**

Explanation :

X+x+2+x+4 = 40+(x+x+2+x+4)/3

3x+6 = 40+ (3x+6)/3

(9x+18 â€“ 3x-6)/3= 40

6x + 12 = 120

X = 108/6 = 18

18+2 = 20**The sum of 3 consecutive number is 1251, Find the largest even number ?**

A)420

B)414

C)418

D)416**C)418**

Explanation :

X+x+1+x+2 = 1251

3x+3 = 1251

X = 1248/3 = 416

X+2 = 416+2 = 418**What is the least number that can be added to 7218 make it a perfect square ?**

A)7

B)5

C)6

D)4**A)7**

Explanation :

85*85 = 7225**If a = -2 and b = -5 then find the value ofÂ a**^{3}+ b^{3}– a^{2}+ b^{2}+ 2a – 3b

A)-98

B)-100

C)101

D)-101**D)-101**

Explanation :

a^{3}+ b^{3}– a^{2}+ b^{2}+ 2a – 3b

(-2)^{3}+ (-5)^{3}â€“ (-2)^{2}+ (-5)^{2}+ 2(-2) â€“ 3(-5) = -8 -125-4+25-4+15 = -101**x+(1/x) = 2, then find the value of x**^{10}+ (-1/x)^{10}

A)0

B)1

C)2

D)3**C)2**

Explanation :

X^{2}+1 = 2x

X^{2}– 2x+1 = 0

X= 1

x^{10}+ (-1/x)^{10}= 1+1 = 2**The average of 7 consecutive number is n, if the next 2 number also included then the new average will be increased by ?**

A)0

B)1

C)2

D)3**B)1**

Explanation :

Avg of 7 no= (7+1)/2 = 8/2 = 4

Avg of 9 no = (9+1)/2 = 5

5- 4 = 1

Hence increased by 1**When a positive number n is divided by 7 leaves the remainder 2, when 3n is divided by the same number, then the remainder is**

A)4

B)5

C)6

D)8**C)6**

Explanation :

N = 7+2 =9

3n = 27

27/7 = 6**The number of prime factors of 510510**

A)4

B)5

C)6

D)7**D)7**

Explanation :2*3*5*7*11*13*17 = 510510**Which one cannot be the square of a natural number ?**

A)2116

B)2304

C)2202

D)2209**C)2202**

Explanation :Square number can never end in 2,7**25% of a number is 2 time 65% of another number.Find the ratio of the second no to the first number ?**

A)5:26

B)26:5

C)23:7

D)5:23**A)5:26**

Explanation :

(a*25)/100 = b(2*65)/100

a*25 = b*130

a/b = 130/25 = 26/5

b:a = 5:26

**Note : Dear Friends if u know an alternate methods or shortcuts related to any chapter, you can share here.**

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