- A boat takes 1 hour more to cover 89.8 km distance in upstream than in downstream. If speed of boat is 37.5 km/hr in still water, then find speed of stream?
25/2 km/hr45/2 km/hr13/2 km/hr15/2 km/hr11/2 km/hrOption D

Let the speeed of the stream = s1

Speed of the boat in still water = s2=37.5

89.9/s2-s1 – 89.9/s2+s1 = 1

applying s2 value we get,

s1= 15/2 km/hr - Two buses B1 & B2 running along the same road. B1 runs at a speed of 80 km/hr. the B2 starts running 6 hours after B1 at a speed of 30 km/hr more than speed of B1. find at what distance B2 catch up B1?

1160km1560km1460km1260km1760kmOption E

let B1 covers the distance D with the time t.

Car 2 also covers the same distance D in t-6.

Then , t- (t-6) = D/80 – D/110

=>D= 1760km - Roopa rows at a speed of 10 km/hr in still water to a certain distance upstream and back to the starting point in a river which flows at 4 km/hr. Find his average speed for total journey.

3.4km/hr4.4km/hr8.4km/hr7.4km/hr5.4km/hrOption C

average speed = upstream speed * downstream speed/ still water speed

= ( 10-4) ( 10+4)/10 = 8.4km/hr - Prajan and Sumi when coming from their homes towards each other meet at a point A daily at 5:00 PM. Speed of Prajan and Sumi is 40 km/hr and 30 km/hr respectively. One day Sumi got late therefore they met at 5:30 PM. Find by how long Sumi got late (in minutes) if they met at point A.

30 min55 min40 min50 min70 minOption E

Distance covered by prajan between 5 to 5.30 = 40* 1/2= 20 km

So to cover this 20 km Sumi will take 20/10 = 2/3 hrs= 40min

So Sumi will reach A after 30 + 40 = 70 min late - Man 1 started real estate business with Rs. 32000 and Mqn 2 joined him after certain number of months with a capital of Rs. 36000. At the end of a year, the profit is divided in the ratio of 4: 3. When did Man 2 join?
5 months1 months3 months4 months2 monthsOption D

The ratio of share of Man 1 and Man 2 = [(32000*12): (36000*x)]The profits divided in the ratio of 4: 3,

According to the question,

(32000*12) / (36000*x) = 4/3

(8*12)/(9x) = 4/3

X = 8 months

Man 2 joined after 4 months.

- Mano deposits some amount for 2 years at 5% per annum in and got Rs. 2050 as compound interest, then find the corresponding simple interest?
Rs. 4000Rs. 2000Rs. 2500Rs. 500Rs. 1000Option B

Let the sum of money be x,x*[(1 + (5/100))2 – 1] = 2050

x*[(105/100)2 – 1] = 2050

x*[(21/20)2 – 1] = 2050

x*[(441/400) – 1] = 2050

x*[41/400] = 2050

x = 2050*(400/41) = Rs. 20000

Simple interest on the sum= (20000*5*2)/100 = Rs. 2000

- 30 boys can finish the project on 15 days and 5 boys left after 8 days. Some girls were joined to finish the remaining project. If project should be completed in agreed time, then how many girls were being joined?
5 girls3 girls4 girls6 girls7 girlsOption A

Total work = boys * daysTotal work = 30*15 = 450

8 days work = 30*8 = 240

Remaining work = 450 – 240 = 210

Let the number of girls joined be x,

210/(25 + x) = 7

25 + x = 30

X = 5 girls

- A boat can travel 44 km downstream in 66 min. The ratio of the speed of the boat in still water to the speed of the stream is 3: 1. How much time will the boat take to cover 75 km upstream?
2 hour 20 mins3 hour 15 mins2 hour 45 mins3 hour 40 mins3 hour 45 minsOption E

Speed of downstream = D/T = 44/(66/60) = 44*(60/66) = 40 km/hrThe ratio of the speed of the boat in still water to the speed of the stream

= > 3 : 1 (3x, x)

4x = 40

X = 10

Speed of upstream = 3x – x = 2x = 20 km/hr

Distance = 75 km

Time = D/S = 75/20 = 3 ¾ hr = 3 hour 45 mins

- The ratio between the ages of two persons A and B is 6: 10. The difference between their ages is 24 years. Find the age of another person C if the average age of all the persons, after 8 years will be 54 years?
22 years32 years42 years12 years82 yearsOption C

The ratio between the ages of two persons A and B = 6: 10 (6x, 10x)10x – 6x = 24

4x = 24

X = 6 years

A’s present age = 6*6 = 36 years

B’s present age = 6*10 = 60 years

Total present ages of A, B and C = (54*3) – 24 = 138 years

Present age of C = 138 – (36 + 60) = 42 years

- Cost of a Chair is Rs .5000 and selling price is Rs. 7000.What is the profit percent?
4034703020Option A

Profit % = p/c.p x 100

=2000/5000 x 100

P%=40