#### 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

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