model 6 operations of consecutive numbers (odd, even, square, etc.) Practice Questions Answers Test with Solutions & More Shortcuts

Question : 26

The sum of three consecutive numbers is 87. The middle number is

a) 30

b) 27

c) 29

d) 28

Answer: (c)

Let three consecutive natural numbers be x, x+1, x+2.

According to the question,

x + x + 1 + x + 2 = 87

3x + 3 = 87

3x = 84 ⇒ x = $84/3$ = 28

Middle number = 28 + 1 = 29 OR,$87/3$ = 29

Question : 27

The sum of three consecutive odd natural numbers is 147. Then, the middle number is :

a) 49

b) 47

c) 48

d) 51

Answer: (a)

x + x + 2 + x + 4 = 147

3 x + 6 = 147

3 x = 147 – 6 = 141

x = $141/3$ = 47

Middle Number = x + 2 = 47 + 2 = 49

Question : 28 [SSC CPO S.I.2005]

The sum of all the 2-digit numbers is :

a) 4945

b) 4995

c) 4950

d) 4905

Answer: (d)

The two-digit numbers are : 10, 11, 12, ..... 97, 98, 99

We know that,

1+ 2 + 3 + 4 + ..... + n = ${n(n+1)}/2$

Required sum = (1 + 2 + 3 + ......+ 99)-(1+2+ ..... + 9)

= ${99 (99 + 1)}/2 - {9(9 + 1)}/2$

= 4950 – 45 = 4905

IMPORTANT quantitative aptitude EXERCISES

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