From which of the following quadrants does the line 7x + 12y = 16 will pass?
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The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. 631. Find the sum.
Let the sum be Rs. x. Then,C.I. = x ( 1 + ( 10 /100 ))^2 - x = 21x / 100 ,S.I. = (( x * 10 * 2) / 100) = x / 5(C.I) - (S.I) = ((21x / 100 ) - (x / 5 )) = x / 100( x / 100 ) = 632 * x = 63100.Hence, the sum is Rs.63,100.
In 16 minutes, the minute hand gains over the hour hand by -
In one hour, the minute hand gains 330° over the hour hand. i.e., 60 minute, the minute hand gains 330° over the hour hand.
∴ In 16 minutes, the minute hand gain over the hour hand by
An observer 1.6 m tall is 203away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:
Draw BE // CD
Then, CE = AB = 1.6 m,
BE = AC =
DEtan30=> DE = tan30 x 203=> DE = 13x203 = 20
Therefore, CD = CE + DE = (1.6 + 20) m = 21.6 m.
A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in ?
1/8 - 1/x = 1/10
=> x = 40 hrs
If 7Ω6 = 84, 8Ω7 = 112 and 8Ω4 = 64, then find the value of 3Ω4 = ?
Match the characteristics with their market structure:
(a) demand will tend to be inelastic(b) Firm has control over quantity of output but it must take into account reactions of competitors
Myanmar is the ___________ largest country in Southeast Asia.