- Two trains are running at 80kmph and 40 kmph respectively n the same direction. Fast train completely passes a man sitting in the slower train 10 seconds.What is the length of the fastest train?
200222.22124.9300.3243.8Option B

Relative speed= ( 80- 40 )kmph= 40 kmph

= 40* 10/18 m /sec= 200/ 9 m/sec

length of the fastest train= 200/9 * 10 = 2000/9 = 222.22 m - A hunter shoot a gun twice at an interval of 50 seconds. A passer in a bike moving towards the gun and hears the gun fire at an interval 48seconds. If the speed of the sound is 672 m/s then what is the speed of the bike?
2824252627Option A

Distance travel by sound = 2 seconds = distance travel by the passer

ïƒ° 672 * 2 = S * 48

ïƒ° =>S= 28 m/s - Three persons running clock wise around track and their time periods to run a circle are 2 min, 6 min, 10 min respectively. Find the time interval after which they meet for the first time at the starting point?
2025303533Option C

LCM( 2, 6, 10) =30

Hence every 30 minutes they will meet at starting point. - Two men can do a piece of work in x days. But y women can do it in 3 days . Then yhe ratio of the work done y 1 man and 1 woman is :
2y:2x2y:4x5y:x3y:2x3y:5xOption D

1 manâ€™s 1 dayâ€™s work = 1/2x

1 womanâ€™s 1 dayâ€™s work = 1/3y

So, Required ratio = 1/2x : 1/3y = 3y: 2x - Three persons are doing a piece of work for Rs. 600. First and third person are completes 38/ 46 of the work together . What is the amount got by the second person?
104.35102.3108.9107.50115Option A

Work done by the second person = 1- 38/46= 8/46

Second person amount = 8/46 * 600 = Rs. 104. 35 - Dal worth Rs. 126 per kg and Rs. 135 per kg mixed with the third variety in the ratio 1:1:2. And if the mixture dal is worth Rs. 153 per Kg, Then find out the cost of third variety per kg ?
115.50175.50125.90150154.50Option B

Let the cost of third variety will be Rs. x

Then 126+ 135 + 2x / 4 = 153

=>2x= 612-261=351

=>x= Rs. 175.50 - Shalu and Kala can complete a work in 6 days. They started together but after 4 days due to some problem kala left the work. If the work is completed after 4 more days, kala could do the work in how many days?
3/113/73/83/53/12Option E

( two members) 4 days work = 4* 1/6 = 4/6

Remaining work = 1-4/6= 2/6

Shalu will complete 2/6 work in 4 days.

Shalu will complete 1 work in 12 days.

Shalu 1 dayâ€™s work = 1/12

kala 1 dayâ€™s work = 2/6 â€“ 1/12 = 3/12. - The respective ratio between the present ages of A and B is 6:11. Four years ago the ratio of their ages was 1:2, respectively. What will be Bâ€™s age after five years?
4544464943Option D

Let the age of A= x

Age of B= y

=>x/y= 6/11

=>x= 6y/11

given x-4/ y-4 = Â½

=>2x-8 = y-4

=>2 *6y/11 – 8 = y-4

=>12y/11 – y = -4+8

=>y = 44 yr

Age of B after 5 years = 44 + 5 = 49 yr. - Arun can complete a piece of work in 12 days. Arun and Balu together can complete the same piece of work in 8 days .In how manys , can B alone complete the same piece of work?
2223242526Option C

Arunâ€™ s 1 days work = 1/12

( Arun + Balu) â€˜ s 1 dayâ€™ s work = 1/8

Baluâ€™ s 1 dayâ€™s work = 1/8 â€“ 1/12 = 1/24

So balu can do the work in 24 days. - Person 1 can complete a piece of work in 24 days. Person 2 is 20% more efficient than Person 1. Person 3 is 25% more efficient than person2. In how many days Person 2 and 3 together can complete the same piece of work?
5 1/56 1/78 8/91015Option C

Here, Person 1 can complete the work in 24 work in 24 days.

Person 2 can complete the same work = 24/120 *100 = 20 days.

C can complete the same work = 20/125 * 100 = 16 days

So B and C can finish this work = ( 20* 16)/( 20+16) =320/36 = 8 8/9 days