The present ages of three Ladies are in proportion 4:7:9. Eight years ago, the sum of their ages eight years ago(in years).

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

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

20x=100

x=5

Their present ages are 12 years ,27 years and 37 years respectively.

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The difference of the squares of two consecutive even integers is divisible by which of the following integers ?

Let the two consecutive even integers be 2n and (2n + 2). Then,

(2n + 2)2 = (2n + 2 + 2n)(2n + 2 - 2n)

= 2(4n + 2)

= 4(2n + 1), which is divisible by 4.

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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. c _ bbb _ _ abbbb _ abbb _

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

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How many prime numbers are there in the list 1, 12, 123, 1234, 12 345, 123 456 ?

It is important to remember that we do not regard 1 as a prime number. We see that 12, 1234 and 123 456 are not prime numbers because they are divisible by 2. Also, 123 is not a prime number because it is divisible by 3, and 12 345 is not a prime number because it is divisible by 5. So there are no prime numbers in the list.

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A+B means A is the father of B;

A-B means A is the wife of B;

AxB means A is the brother of B;

AÃ·B means A is the daughter of B.

If PÃ·R+Q, which of the following is true?

PÃ·R+Q means P is the daughter of R who is the father of Q i.e. P is the sister of Q..

In following questions, three sequence of alphabets/numerals are provided which correspond to each other in some way. Find out alphabets/numerals that come in the blank places. Choose the correct option

A _ B A C _ D _ B C D C _ 3 _ 2 _ 1 _ 4 ? ? ? ? d c _ _ b a c b _ _ _ _

A _ B A C _ D _ B C D C _ 3 _ 2 _ 1 _ 4 ? ? ? ? d c _ _ b a c b _ _ _ _

Clearly, 2 corresponds to A.

Now, b corresponds to C and 4 corresponds to b.

So, 4 corresponds to C.

c corresponds to D and 3 corresponds to c.

So, 3 corresponds to D.

So, the remaining number i.e., 1 corresponds to B.

Thus, BCDC corresponds to 1, 4, 3, 4. .

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

c _ bba _ cab _ ac _ ab _ ac

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

All the six members A,B,C,D,Eand F of the family are travelling together.B is the son of C but C is not the mother of B. A and C are married couple . E is the brother of C. D is daughter of A .F is the brother of B . Which of the following is a pair of females.

B is the son of C is not the mother of B means C is the father of B. A is married to C means A is the mother of B . F is the brother of B means F is son of A and C .D is daughter of A means D is daughter of A means D is daughter A and C. Clearly, the females are mother A and daughter D..