The banker's discount on a bill due 6 months hence at 6% is Rs. 18.54. What is the true discount?
T= 6 months = 1/2 yearR = 6%TD= BD×100100+TR=18.54×100100+12×6=Rs.18
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The B.G. on a certain sum 4 years hence at 5% is Rs. 200. What is the present worth?
T = 4 years R = 5% Banker's Gain, BG = Rs.200
TD= BG×100TR=200×1004×5=Rs.1000
TD=PW×BG
⇒1000=PW×200
=>PW = Rs.5000
What is the present worth of a bill of Rs.1764 due 2 years hence at 5% compound interest is
Since the compound interest is taken here,
PW1+51002=1764
=> PW = 1600
Insert the missing number.
3, 7, 6, 5, 9, 3, 12, 1, 15, (....)
There are two series, beginning respectively with 3 and 7. In one 3 is added and in another 2 is subtracted.
The next number is 1 - 2 = -1.
2, 6, 12, 20, 30, 42, 56, (....)
The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8.
So, the next number is 8 x 9 = 72.
16, 33, 65, 131, 261, (....)
Each number is twice the preceding one with 1 added or subtracted alternatively.
So, the next number is (2 x 261 + 1) = 523.
Find out the wrong number in the given sequence of numbers.
36, 54, 18, 27, 9, 18.5, 4.5
The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.
6, 13, 18, 25, 30, 37, 40
The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5.
So, 40 is wrong.
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