Total number of cards = 1500
total columns = 45
so, total punches=1500 x 45 = 67500
for 1 hour if we make 9000 punches,
we require 67500/9000 = 7.5
so 7hours:30mins.
At 1 pm ... Distance between A and B = 2x3.5 = 7 kms
at 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kms
At 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.
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..
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At 7 pm distance between A and B = 3 kms.
From 7 pm to 8 pm, speed of A = 3.5 kmph
speed of B = 8 kmph
Relative speed = 4.5 kmph
Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins.
So meeting time is 7 : 40 PM.
If After p years , commodity X will cost 60 rupees more than the commodity Y, then
320 + 60p = 740 + 20p + 60
=> p = 12
So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.
6 choose 3 means number of possible unordered combinations when 3 items are selected from 6 available items i.e, nothing but 6C3.
Now 6C3 = 6 x 5 x 4/3 x 2 x 1 = 120/6 = 20.
The worst case complexity of linear search is O(n).
The given statement about similar triangles is TRUE.
Similar Triangles Theorem :: Similar triangles are two triangles with corresponding angles of equal measure, and the ratios of their corresponding sides' lengths are equal.
Given that 50 paise and 25 paise coins are in the ratio of 7:3, they can be either 7 & 3 or 14 & 6.
As total 20 coins also includes Rs. 1 coins, so 50 paise & 25 paise coins are 7 & 3 respectively & Rs. 1 coins are 10.
Total amount = (100x10) + (50x7) + (25x3)=1425 paise or Rs.14.25.
In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).
Hence, 0 doesn't have any multiplicative inverse.
A square and a rectangle each have 4 right (90 deg) angles.
Both square and rctangle have 4 sides and 4 angles, but the only difference is square is a rectangle with all sides equal.
Here asked for the value of 28 tens
=> 28 x 10 = 280.
9 tens 10 ones equals
=> 9 x 10 + 10 x 1
=> 90 + 10
=> 100.
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