- Difference between circumference and diameter of a circle is 60 cm. What will be volume of cylinder, whose height is 14 cm more than that of radius of circle and radius of cylinder is 10 cm ?
84008500880098009200Option C

ATQ, 2πr-2r=60

2r=28

r=14

height of cylinder =14+14=28 cm

radius=10 cm

volume of cylinder=πr^2h=22/7*10^2*28=8800 cm^3 - A bag contains 5 oranges, 4 apples and 6 mangoes. 4 fruits are drawn randomly, then find probability of getting all fruits are of mangoes.
2/911/9113/955/966/95Option B

required no. of outcome=6C4

total no. of outcome=15C4

probability=(6C4)/15C4

=6*5*4*3/15*14*13*12= 1/91 - A man brought two articles for rs.1200. He sold one article at a profit of 20% and another article at a loss of 20%. If the selling price of both the articles is equal, then find the cost price of article which is sold at a loss of 20%.
720800600550780Option A

total CP of two article=1200

CP of one article=x

CP of another article=1200-x

x*120/100=(1200-x)80/100

6x/5=4800-4x/5

x=480

CP of article which is sold at a loss of 20%=1200-480=720 - The ratio of the present ages of A and B is 4:3. 4 years hence the age of A will be 20% more than the age of B 6 years hence. Find the difference of their present ages.
1015168no of theseOption D

let the present age of A and B be 4x and 3x respectively

4x+4=(3x+6)6/5

4x+4=18x+36/5

20x+20=18x+36

2x=16

x=8

A’s present age=32

B’s present age=24

difference=32-24=8 years - A,B and C alone can complete the work in 16:24:32 days respectively. All of them started working together but after 2 days A left the job and 7 days before the completion of the work B also left the job. In how many days the work is completed ?
2015251618Option D

LCM of 16,24 and 32=96

A’s efficiency=96/6=16

B’s efficiency=96/24=4

C’s efficiency=96/32=3

all work together for 2 days=13*2=26 work

remaining work=96-26=70

C alone work for 7 days=7*3=21 work

remaining work done by B and C together=49/7=7 days

total time required=2+7+7=16 days - A train crosses a bridge and a platform of length 650m and 800m in 20 sec and 30 sec respectively. Find the speed of the train(in km/hr).
300 km/hr280 km/hr200 km/hr180 km//hr240 km/hrOption D

let the length of train=x

x+650/20=x+800/30

3x+1950=2x+1600

x=350

speed of train=350+650/20=50 m/sec

speed of train (in km/hr)=50*18/5=180 km/hr - A,B and C enter into a partnership by investing in the ratio of 3:4:5. After 1 year, B invests another 15000 and C at the end of 2 years also invest 10000. At the end of 3 years profit are shared in the ratio of 3:5:7.. Find initial investment of C.
6000050000650007000080000Option B

let A,B and C invest be 3x, 4x and 5x respectively

A’s total investment=3x*3=9x

B’s total investment=(4x*1)+(4x+15000)*2=12x+30000

C’s total investment=(5x*2)+(5x+10000)*1=15x+10000

9x/12x+30000=3/5

45x=36x+90000

9x=90000

x=10000

C’s initially invested=5*10000=50000 - Difference between SI and CI in certain amount of principal is rs.60. If the rate of interest is 20% in both cases, then find the SI after 3 years in same rate of interest.

8506009001200950Option C

ATQ, 60=PR^2//100^2

60=P*400/1000

P=1500

SI after 3 years=1500*20/100*3=900 - In a vessel milk and water are in the ratio of 5:3. If 48 liter of mixture is taken out from the vessel and 30 liter of water is added, then new ratio of milk and water becomes 4:3. Find the initial quantity of mixture in vessel.
368280365440320Option A

let the milk and water be 5x and 3x

(5x-30)/3x-18+30=4/3

15x-90=12x-48

3x=138

x=46

total quantity of mixture=8x=8*46=368 - The income of A and B is in the ratio of 3:2 and their expenditure in the ratio of 4:3. If each of them save rs.4000, then find income of A ?
90008400950065007000Option B

let the income of A and B be 3x and 2x respectively

3x-4000/2x-4000=7/3

9x-12000=14x-2800

5x=14000

x=2800

income of A=2800*3=8400

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