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The area of the circumcircle of the equilateral triangle whose one side lies on the diagonal of a square with side 4 cm is (use π = 3.14)
If 2x+y=17,y+2z=15 and x+z=9 then what is the value of 4x+3y+z?
2x + y = 17, y + 2z = 15 and x + z = 9
⇒ z = 9  x
∴ y + 2(9  x) = 15
or y + 18  2x = 15
or y  2x = 3
y + 2x = 17
⇒ 2y = 14
⇒ y = 7
⇒ 2x + 7 = 17 ⇒ x = 5
z + 5 = 9 ⇒ z = 4
∴ 4x + 3y + 2 = 4 x 5 + 3 x 7 + 4
= 20 + 21 + 4 = 45
Clearly, we have : 7 x 2 + 2 = 16 ; 16 x 2 + 2 = 34 and so on.
So, missing nimber = 34 x 2 + 2 = 70.
Rain  Sun  Rainbow  Child  Happy 
2  3  1  5  4 
Select the correct set of symbols which will fit in the given equation 5 0 3 5 = 20.
5  0 + 3 x 5
= 5 + 15 = 20
Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 5 minutes in the begining and then C is also opened. In what time will the cistern be emptied?
A and B are kept for 5 minutes i.e. 5 ( 1/12 + 1/15 ) = 3/4
When A, B and C pipes are opened = 1/12 + 1/15  1/6 =  1/60
Empty the cistern in 1 min is 1/60
So 3 4 Will emptied in 3/4/1/60 = 45 minutes
A sum money lent at 2.5% per annum yielded a simple interest of Rs 2500. If Rs 42,500 were paid to clear the loan, then the time for which the money was borrowed is
P = 42500  2500 = Rs 40000
T = 100 x 2500 / 40000 x 2.5 = 2.5 years
Each of the following questions consists of two sets of figures. Figures 1,2,3 and 4 constitute the Problem Set while figures A,B,C,D and E constitute the Answer Set. There is a definite relationship between figures 1 and 2. Establish a similar relationship between figures 3 and 4 by selecting a suitable figure from the Answer Set .
In the following problem, out of the five figures marked 1, 2, 3, 4 and 5, four are similar in a certain manner. However, one figure is not like the other four. Choose the figure which is different from the rest.
In all other figures, all the line segments are drawn perpendicular to one base only.
In the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of fig. (X) would complete the pattern.
(i) 8 persons E, F, G, H, I, J, K and L are seated around a square table  two on each side.
(ii) There are 3 ladies who are not seated next to each other.
(iii) J is between L and F.
(iv) G is between I and F.
(v) H, a lady member is second to the left of J.
(vi)F, a male member is seated opposite to E, a lady member.
(vii) There is a lady member between F and I.
Q. Who among the following is seated between E and H?
Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.
Below are the statements followed by three conclusions numbered I, II and III. You have to consider the statements and the following conclusions and decide which of the conclusion(s) follows the statement(s).
Statements :
a. All books are pins.
b. Some pins are desks.
Conclusions :
I. Some desks are books.
II. All desks are pins.
III. No desk is book.
The table below gives the details of foreign tourist arrivals and foreign exchange earnings during the period 19951996 to 20012002. Answer the following question based on the data given in the following table.
Q. The maximum percentage increase in foreign tourist arrivals during the given period has been in :
The table below gives the details of foreign tourist arrivals and foreign exchange earnings during the period 19951996 to 20012002. Answer the following question based on the data given in the following table.
Q. The estimated foreign exchange earnings has been steadily increasing from the period:
The table below gives the details of foreign tourist arrivals and foreign exchange earnings during the period 19951996 to 20012002. Answer the following question based on the data given in the following table.
Q. "As a result of September 11, 2001 incidents in the United States the tourist arrivals dropped by about 10 percent when compared, with the previous year"?
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