An equilateral triangle is surrounded by three squares, as shown. What is the value of x?

We have labeled the diagram to help explain this answer. PR = RS because they are sides of a square, and RS = RT because they are sides of an equilateral triangle. RQ = RT because they are also sides of a square. Therefore RQ = PR. And because RQ and PR are sides of an isosceles triangle, angle RPQ = angle RQP. Right now remember that angles of a triangle totaled equals 180Â°. And angles of a square are all 90Â° and angles of an equilateral triangle are all 60Â°. Following? Good. So all the angles at point R must equal 360Â°. Soâ€¦ Angle PRQ = 360 â€“ (90 + 90 + 60) = 120. Therefore x = (360 â€“ 120) / 2 = 30.

Bell and Stacy are two sisters. The sum of the ages of Stacy and Bell is 80. Before ten years from now, Bell age was twice as stacy's age. How old is Elder sister now?

1st Condition:

B+S=80.......(1)

2nd Condition:

2S-B=10...........(2)

By solving these equation:

B=50 and S=30

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A is the mother of B .

C is the son of A.

D is the brother of E.

E is the daughter of B.

The grandmother of D is

D is the brother of E and E is the daughter of B.

This means that D is the son of B.

Also, A is the mother of B.

So, A is a grand mother of D.

Hence the answer is( a).

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There are six children playing football namely A, B, C, D, E and F.

A and E are brothers. F is the sister of E. C is the only son of A's uncle.

B and D are the daughters of the brother of C's father

How is C related to F?

F is E's and hence A's sister.

So, C is also the son of F's uncle and is, therefore, F's cousin.

So, the answer is (a).

Complete the Given Series

Which number replace question mark in the series 7, 12, 19, ?, 39.

Which number replace question mark in the series 7, 12, 19, ?, 39.

Clearly, the given sequence follows the pattern:

+5, +7, +9 ... i.e., 7 + 5 = 12, 12 + 7 = 19, ... .

So Missing Number = 19 + 9 = 28.

Hence, the answer is (B)..

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

ab _ bcbca _ _ c _ bab

The series is abcbc / bcaca / cabab. Thus, the series consists of three sequences. The first sequence begins with a, the second with b and the third with c. Each sequence consists of a letter followed by other two letters repeated twice.

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

Choose the appropriate option 2, 3, (6), 11, 18, (30), 38

Choose the appropriate option 2, 3, (6), 11, 18, (30), 38

The correct sequence is + 1, + 3, + 5, + 7, + 9, + 11.

Clearly, the term 6 is correct,

But, 30 is wrong and should be replaced by (18 + 9) i.e. 27.