Ques 1.
Mr Anurag Awasthi deposits an amount of Rs.56500 to obtain a simple interest at the rate of 12% per annum for 3 yr. What total amount will Mr Anurag Awasthi get at the end of 3 yr?
P = 56500 its 100%
rate * time = 12*3=36%
after 3 years amount = 100% + 36%=136%
100% -----56500
136% ----- Amount
Amount = (56500*136/100) = 768400
Ques 2.
P started a work and left after working for 5 days. Then Q finished the remaining work in 16 days. Had P left the work after working for 8 days, Q would have finished the remaining work in 10 days. In how many days can each of them alone finish the whole work?
Solution :
case (1)
5/p + 16/q = 1
==>5q + 16p = pq ----(i)
case(2)
8/p + 10/q =1
==> 8q + 10p =pq ---(ii)
sub equation i in ii
p =13 , q=26
Ques 3.
A die is thrown twice. What is the probability of getting a sum 8 from both the throws?
Solution :
4,4
6,2
2,6
5,3
3,5
In 5 cases only we get sum is 8
=5/36
Ques 4.
Every day a Orange seller sells half of his stock, 10℅ of the stock gets spoiled by overnight. If 1983 Oranges rot in 3 nights then how many did he start with on the first day?
Solution :
X/20+X/400+81X/8000=1983
Ques 5.
A vessel containing 100 litre milk 50% is taken out and the same amout of water is mixed and this action is repeated total three time howmuch % is milk in the resulted mixture?
Solution :
100*(1-50/100)^3=12.5
Ques 6.
Speed of boat in still water is 500% more than speed of stream .find ratio of downstream to upstream?
Solution :
Boat =600
Steam=100
Down Stream =600+100=700
Upstream =600-100=500
Ratio= 700:500=7:5
Ques 7.
How many ways RAJESH can be arranged so that vowel not togather ?
Solution :
Total arrangements = 6! = 720
When all vowels come together it is = 5!*2! = 240 ways
If no vowel come together means =720-240 = 480
Ques 8.
513 495 ? 462 447 433
Solution :
513 - 495 = 18
495- x = 17
x-462 = 16
462-447=15
447-433=14
X = 495-17=478
Ques 9.
If the length and breadth of a rectangle are increased by 15% & 20 % respectively.Then what is the percentage increase in the perimeter of the rectangle?
Solution :
15+20+(20*15)/100 = 38%
Ques 10
A box contains 10 toys, out of which 4 are defective. 2 toys are chosen at random from this box. The probability that at least one of these is defective ?
Solution :
(4c1*6c1 + 4c2) / 10c2= 8/15
