Model 6 Operations Of Consecutive Numbers (odd, Even, Square, Etc.) Practice Questions Answers Test With Solutions & More Shortcuts

Question : 16 [SSC CHSL 2015]

Two positive whole numbers are such that the sum of the first number and twice the second number is 8 and their difference is 2. The numbers are :

a) 4,2

b) 7,5

c) 6,4

d) 3,5

Answer: (a)

Let the numbers be x and y.

According to the question,

x + 2y = 8 .... (i)

x – y = 2 ....... (ii)

By equation (i) – (ii),

2y + y = 8 – 2

3y = 6; y = 2

From equation (ii),

x – 2 = 2 ; x = 4

Question : 17 [SSC CGL Tier-I 2015]

What is the arithmetic mean of first 20 odd natural numbers ?

a) 22

b) 19

c) 17

d) 20

Answer: (d)

Sum of first n odd natural numbers = $n^2 = (20)^2$ = 400

Required average = $400/20$ = 20

Question : 18 [SSC CGL Tier-I 2016]

The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is

a) 70

b) 85

c) 75

d) 80

Answer: (d)

Let the required largest number be x.

According to the question,

x + x – 5 + x – 10 = 225

3x – 15 = 225

3x = 225 + 15 = 240

x = $240/3$ = 80

Question : 19 [SSC MTS 2013]

Find three consecutive numbers such that twice the first, three times the second and four times the third together make 191.

a) 20, 21, 22

b) 19, 20, 21

c) 21, 22, 23

d) 22, 23, 24

Answer: (a)

Numbers = x, x +1 and x + 2

2x + 3x + 3 + 4x + 8 = 191

9x = 191 – 11 = 180

x = 20

∴ Numbers = 20, 21 and 22

Question : 20 [SSC CGL 2002]

The sum of three consecutive odd natural numbers is 87. The smallest of these numbers is :

a) 23

b) 29

c) 31

d) 27

Answer: (d)

Let the three odd consecutive natural numbers be x, x + 2 and x + 4.

According to the question

x + x + 2 + x + 4 = 87

or 3x + 6 = 87

or 3x = 81; x = 27

Smallest number = 27

IMPORTANT QUANTITATIVE APTITUDE EXERCISES

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