A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be:

4 | x y = (5 x 1 + 4) = 9

5 | y -1 x = (4 x y + 1) = (4 x 9 + 1) = 37

| 1 -4

Now, 37 when divided successively by 5 and 4, we get

5 | 37

4 | 7 - 2

Respective remainders are 2 and 3

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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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In following questions, a sequence of groups of alphabets and numbers is provided with one term missing , Choose the missing term from options. 2A11, 4D13, 12G17, ?

The first numbers in the terms follow the sequence x 2, x 3, x 4.The middle letter of each term is moved three steps forward to obtain the corresponding letter of the next term>The last numbers follow the sequence + 2, + 4, + 6.

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In Math test out of 10 marks for students got 4 marks and 6 got 5 marks what will be the average marks of class:

={( number of student X marks)+( number of student X marks)}/ total students

={( 4 x 10)+(6Ãƒâ€”5)}/6+4

=(40+30)/10

= 7 is the average marks of class.

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In a kilometre race A beats B by 100 m. B beat C by 100 m. By how many metres does A beat C in the same race?

While A covers 1000 m distance, B can cover 900 m

While N covers 1000, C can cover 900m

Let's assume that all three of them are running same race . So when B run 900 m. C can run 900 x 9 / 10 = 810

So A can beat C by 190 metres

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A family consists of six children naming P,Q,R,X,Y and Z. Q is the son R but R is not the mother of Q. P and R are married couples. Y is brother of R. X is the daughter of P. Z is the brother of P. How many children does P have?

Q is the son of R but R is not the mother. So,P is married to R . So, P is the wife of R and the mother of Q. X is daughter of P and hence of R and so she is the sister of Q. Y is the brother of R and Z is the brother of P. Clearly Q is the son of P and X is daughter of P. so, P has two children. .

Rajan is the brother of Sachin and Manick is the father of Rajan. Jagat is the brother of Priya is the daughter of Sachin. Who is the uncle of jagat?

Jagat is the brother of Priya and Priya is the daughter of Sachin. Jagat is the son of Sachin . Now , Rajan is the brother of Sachin.

Thus, Rajan is the uncle of jagat.

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