A cistern has a leak which would empty it in 8 hours. A tap is turned on which admits 6 litres a minute into the cistern and it is now emptied in 12 hours. How many litres does the cistern hold?
Part filled in 1 hours = (1/8 - 1/12) = 1/24
Therefore Time taken to fill the cistern = 24 hours
Water moved in 24 hours = (6*24*60) litres = 8640 litres
Option 7)
Two poles of height 12 m. and 4 m. are situated in such a way that the sun rays through the top of a pole also passes through the top of other. The distance between poles is? (It is given that the sun rays make an angle of 45 degree with the horizon)
If we make a triangle from top of the pole of height 12 m. upto ground than an other similar triangle
is also obtained from the top of smaller pole. If distance between the poles is x,
then 12/4 = 12/(12-x)
On solving we get x = 8
A four digit number having all digit successive when substracted by the number formed by using all the digits in reverse pattern (ie reverse of xyz is zyx) gives a four digit number. The sum of all digits of that number is 18. What will be the product of thousand and units digit of that number
Let number is 1000x + 100y + 10z + p (i)
its reverse number will be 1000p + 100z + 10y + x (ii)
(ii) - (i) = 999p + 90z - 90y - 999x
999(p-x) + 90(z-y)
999*3 + 90*1 = 2997+90 = 3087
21
A square lawn with side 100 m long has a circular flower bed in the centre. If the area of the lawn, excluding the flower bed is 8614 m^2, the radius of the circular flower bed is
OPtion
1) 11 m
2) 24 m
3) 31 m
4) 48 m
5) 36 m
6) 39 m
7) 41 m
8) 44 m
9) 21 m
10)None of these
The average age of a husband and wife was 23 years when they were married 5 years ago. The average age of the husband, the wife and a child who was born during the interval, is 20 years now. How old is the child now?
OPtion
1) 9 month
2) 1 year
3) 3 years
4) 4 years
5) 1.5 years
6) 2 years
7) 3.5 years
8) 6 years
9) 5 years
10)None of these
Solution
Present total age of husband & wife = (2*23 + 2*5) = 56 years
Present total age of husband, wife & child = (3*20) = 60 years
Present age of the child = (60 - 56) years = 4 years
A four digit positive number, when divided by the sum of the four digit of the number given 226 as quotient and 0 as remainder. If thousand place of the number is 4 and units place is 2 then the difference of hundred place and tens place will be
OPtion
1) 0
2) 1
3) 2
4) 3
5) 4
6) 5
7) 6
8) 7
9) 8
10)9
Solution
According to the given condition
1000x + 100y + 10z + p = 226(x+y+z+p)
126y + 216z + 225p = 774x
given x = 4 and p = 2
z = 2646-1264 / 216
Only for y = 9 z = 7
9-7 = 2
On increasing the temperature by 30 degree centigrade, rate of a chemical reaction becomes 15.625 times the initial rate. If every 10 degree centigrade increment in temperature makes the similar multiple change (x), then x is equal to
30 degree centigrade means three laps of 10 degree centigrade
According to the given condition
(initial rate) . x . x . x = 15.625 (initial rate) Or x3 = 15.625
Or x = 2.5