A + B means A is the father of B ;

A - B means A is the wife of B ;

A x B means A is the brother of B ;

A Ã· B means A is the daughter of B.

If P - R x Q, which of the following is true?

Option (C)

P - R x Q means P is the wife of R who is the brother of Q i.e. P is the sister-in-law of Q.

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

Let the two consecutive odd integers be (2n + 1) and (2n + 3). Then,

(2n + 3)2 - (2n + 1)2 = (2n + 3 + 2n + 1) (2n + 3 - 2n - 1)

= (4n + 4) x 2

= 8(n + 1), which is divisible by 8.

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A family consists of six members P, Q, R, S, T and U. There are two married couples. Q is a doctor and the father of T. U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. Who is the sister of T?

Option (A)

Q, the Doctor, is the father of T. S, the Housewife, is the grandmother of T and hence the mother of Q. Since there are only two married couples one being that of Q, the grandfather of R i.e., U must be married to S. Thus, R and T will be both children of Q and these must be the students. So, P, who remains, shall be the wife of Q and she alone can be the nurse. Thus, U must be the contractor.

Clearly, R and T are children of same parents. So, R will be the sister of T.

The first two terms of a sequence are 1 and 2. Each of the following terms in the sequence is the sum of all the terms which come before it in the sequence. Which of these is not a term in the sequence?

The third term of the sequence is 1 + 2 = 3, the fourth term is 1 + 2 + 3 = 6, the fifth term is 1 + 2 + 3 + 6 = 12, and so on. So the sequence begins 1, 2, 3, 6, 12, 24, 48, 96 The trick is spotting that from the 4th term onwards each term is just double the previous term. Therefore 72 does not appear.

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On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

Clearly, (2272 - 875) = 1397, is exactly divisible by N.

Now, 1397 = 11 x 127

The required 3-digit number is 127, the sum of whose digits is 10.

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Complete the Given Series

Which is the number that comes next in the sequence:

0, 6, 24, 60, 120, 210 ?

Which is the number that comes next in the sequence:

0, 6, 24, 60, 120, 210 ?

Clearly, the given series is 1

So, Next number = 7

Hence, the answer is (c)..

In following number series, two terms have been put within brackets. Choose the appropriate option

Choose the appropriate option 4, 7, (9), 10, 13, 15, (16), 19

Choose the appropriate option 4, 7, (9), 10, 13, 15, (16), 19

The correct sequence is is + 3, + 2, + 1, + 3, + 2, + 1, + 3.

Clearly, both the terms 9 and 16 are correct..