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The average age of M1, M2 and M3 ,3 years ago was 27 years and that of M2 and the M3 ,5 years ago was 20 years. The present age of the M1 is:
Sum of the present ages of M1, M2 and M3 = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of M2 and M3 = (20 x 2 + 5 x 2) years = 50 years.
M1's present age = (90 - 50) years = 40 years.
What will be the greatest number of four digits which is divisible by 15, 25, 40 and 75?
Greatest number of 4-digits is 9999.
L.C.M. of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399.
Required number (9999 - 399) = 9600.
Find the value of Sec2770-Cosec2750C-tan2770+Cot2750
Sec2770-Cosec2750C-tan2770+Cot2750
=Sec2770-tan2770-Cosec2750C +Cot2750
=1+tan2770- tan2770-(1+ Cot2750)+ Cot2750
=0
A Gallon contains 40 litres of milk. From this Gallon 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the gallon?
Amount of Milk left after four operations=40[(1-4/40)3]
= 40 x 9/10 x 9/10 x 9/10 = 29.16 litres
Pinki and Prakash can together finish a work in 30 days. They worked together for 20 days and then Prakash left. After another 20 days, Pinki finished the remaining work. In how many days Pinki alone can finish the work?
(Pinki + Prakash)'s 20 day's work =1/30 x 20 =2/3
Remaining work =1- 2/3 = 1/3
Now, 1/3 work is done by Pinki in 20 days.
Therefore, the whole work will be done by Pinki in (20 x 3) = 60 days.
Priyanka invested an amount of Rs. 25000 in a fixed deposit scheme for four years at compound interest rate 20 percent per annum. How much amount will Priyanka get on maturity of the fixed deposit?
Required amount
= Rs.[25000 x (1 + 20/100)4]
= 25000 x 6/5 x 6/5 x 6/5 x 6/5
= 12 x 121 x 11 = Rs.51840
A Cistern is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
Let, first pipe alone takes x hours to fill the cistern.
Then, second and third pipes will take (x -5) and (x - 9) hours respectively to fill the cistern.
1/x + 1/(x-5)= 1/(x-9)
X = 15
What is the unit digit of 72005 + 72006/ 72005 + 72006
72005 + 72006
=7+9
= 6
If sides of a rectangle is increased by 20% then the percentage increase in the area of a rectangle will be ?
a=l*b=120l*120b.
a=14400lb.
a=100l*100b.
a=10000lb.
%=44/100.
44% answer.
There are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3 in a closed bag. If there is Rs. 30 in all, how many 10 p coins are there?
we have Rs.30 = 3000p
25p,10p, 5p are in ratio of 1:2:3 (given)
No. of coins of 25p = x
No. of coins of 10p = 2x
No. of coins of 5p = 3x
then,
25(x)+10(2x)+5(3x)= 3000
x = 50
No. of coins of 10p = 2*50 = 100
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