The present age of three persons are in proportion 4:7:9. Eight years ago the sum of their ages is 76. Find their present ages?(in years)

Let the present ages be 4x,7x,9x years respectively.

Then (4x-8)+(7x-8)+(9x-8)=76

20x=100

x=100/20

x=5

There present ages be 20,35,45 years respectively.

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A family of six members naming P,Q,R,X,Y and Z. Q is the son of R but R is not the mother of Q. P and R are married couple. Y is the brother of R. X is the daughter of P. Z is the brother of P. Who is the brother in law of R.

Q is the son of R but R is not the mother. So, R is the father of Q. P is married to R. So, P is the wife of R and mother of Q.X is the daughter of P hence of R and so she is the sister of Q. Y is the brother of R and Z is brother of P and Z is brother of P. R is husband of P and Z is the brother in law of R. and Y is brother of P. R is husband of P. Z is brother of P. so, Z is brother in law of R..

The average of 5 consecutive even numbers is 34. What is the difference between the highest and lowest number.

Let's 5 consecutive even numbers are:

2, 4, 6, 8, 10.

Lowest term is 2 and highest is 10

10 - 2 = 8

So, difference of 8 will remain the same in the consecutive series numbers.

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A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:

4 | x z = 6 x 1 + 4 = 10

5 | y -2 y = 5 x z + 3 = 5 x 10 + 3 = 53

6 | z - 3 x = 4 x y + 2 = 4 x 53 + 2 = 214

| 1 - 4

Hence, required number = 214.

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

a _ cacbc _ baca _ _ b

The series is abcac / bcaba / cabcb. Thus, the series consits of three sequence. The first three letters of each sequence are in a cyclic order and the last two letters of each sequence are the same as the first and third letters of the sequence.

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In following alphabet series , one term missing as shown by question mark . Choose missing term from options.

A, B, D, G, ?

The first, second, third,.... letters of the series are respectively moved one, two, three,... steps forward to obtain the successive terms..