Category: Mathematics

Solution:

There are two sequences:

First sequence (Odd place):

1, 2, 3, …

Pattern follow:

2 = 1 + 1 = 2

3 = 2 + 1 = 3

? = 3 + 1 = 4

Second sequence (Even place):

2, 5, 8, ….

Pattern follow:

5 = 2 + 3 = 5

8 = 5 + 3 = 8

? = 8 + 3 = 11

∴ The next numbers of the given sequence = 4 , 11, 5, 14

Solution:

let A be the present age of A,

let B be the present age of B,

according to the question, A=2B

also, A-3=3(B-3)

so, 2B-3=3B-9

3B-2B=9–3

B=6

hence, A=12 and B=6.

2, 5, 12, 23, 38, 57, ____

2+3=5

5+7=12

12+11=23

23+15=38

38+19=57

57+23=80

Solution:

The washer can wash 8 cars in 18 minutes or in 18/60 hours

Number of cars washed in 1 hr is  = 8/(18/60)

=8*60/18

=80/3

cars washed in 3 hrs = 80/3*3=80