In alphabet series, some alphabets are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.

cab _ a _ c _ bc _ bc _ b _ ab

The series is cab / cab / cab / cab / cab. Thus, the pattern cab is repeated.

.
The cost price of 10 articles is exactly the same as that of selling price of x articles. If profit is 25%, then value of x is ?

C.p of each article is 1 and c.p of x article is x.

S.p of x articles is=10

Profit=RS.(10-x)

So,

(10-x)/x*100=25

1000-100x=25x

125x=1000

Hence=8

.
The ratio of two brothers John and Harry is 4 / 5. However if the age of John before 10 years and that of Harry after 10 years then the original ratio is reversed. What is the age of John?

John age is = a and harry= b

given that a /b = 5 / 4

4a= 5 b

4a - 5b= 0.... Equation 1

and also given that a - 10 / b + 10 = 4 / 5

5 a- 50 = 4 b + 40

5a - 4 b = 90.... Equation 2

by solving both equation

a = 50

.
In 1772 Sophia was thrice as jim but in 1775 Sofia was only twice as old as jim was .How many old was Sofia in 1784? question mark

Let's

in 1772.

Sofia age's = x jim age's =y

when Sofia was thrice as jim

x = 3 Y...( 1 )

but after 5 year Sofia was twice.

X + 5 = 2(y + 5)... 2

By substituting equations

x = 25

but after 12 years

in 1784 Sofia was: 37

In a family, there are six members A, B, C, D, E and F . A and B are married couple, A being a male member, D is the only son of C, who is the brother of A. E is a sister of D. B is a daughter in law of F, whose husband has died how is F related to C?

A is a male and married to B. So, A is a husband and B is a wife . C is the brother of A. D is a son of C. E, who is the sister of D will be the daughter of C. B is a daughter in law of F whose husband has died means F is the mother of A. F is a the mother of A and C is the brother of A. So, F is the mother of C..