The ratio of Two Sisters Alice and Betty is 3/2. However if the age of Alice before 15 years and that of Betty after 15 years than the original ratio is reserved. What is the age of Betty?

Let

Alice age's= A and Betty Age's=B

Given that

A / b = 3 / 2

2 A= 3 B

2A-3B=0.......(1)

And also given that

(A -15 )/ (B+ 15 )= 2 / 3

3 A- 45 =2B-30

3A - 2B = 75..... (2)

By solving both equation

B=30

So Batty is 30 years old

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In following questions, one term in number series is incorrect.

Find out the incorrect number 10, 14, 28, 32, 64, 68, 132

Find out the incorrect number 10, 14, 28, 32, 64, 68, 132

Alternately, the numbers are increased by four and doubled to get the next number>

Thus, 10 + 4 = 14;

14 * 2 = 28;

28 + 4 = 32;

32 * 2 =64 and so on.

So, 132 is wrong and must be replaced by (68 * 2) i.e. 136..

In following number series, either one term is missing or is incorrect. Choose correct answer from options

Choose correct answer from options 1, 2, 5, 10, 17, 28

Choose correct answer from options 1, 2, 5, 10, 17, 28

The correct sequence is + 1, + 3, + 5, + 7, + 9.

So, 28 is wrong and must be replaced by (17 + 9) i.e. 26..

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 following questions, a sequence of groups of alphabets and numbers is provided with one term missing , Choose the missing term from options. 2Z5, 7Y7, 14X9, 23W11, 34V13, ?

The first numbers in the terms follow the sequence + 5, + 7, + 9, + 11, + 13. The middle letters form the series Z, Y, X, W, V, U.

The last numbers from the series 5, 7, ,9 , 11, 13, 15.

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Look at this series: 80, 10, 70, 15, 60, . . .

What number should come next?

What number should come next?

This is an alternating addition and subtraction series.

In the first pattern, 10 is subtracted from each number to arrive at the next.

In the second, 5 is added to each number to arrive at the next.

First pattern (80) (80 - 10 = 70) (70 - 10 = 60) (60 - 10 = 50)

Second pattern (10) (10 + 5 = 15) (15 + 5 = 20)

So the answer is 20..

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..