- Ram takes thrice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is:
2:55:73:42:12:3Option D

Speed downstream = x kmph

Speed upstream = 3x kmph

(3x+x)/2 : (3x-x)/2

4x/2 : 2x/2 = 2:1 - Three men, four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
35786Option C

2 men = 1 woman

1 man =1/2 woman

3 men =3/2 women

2 children = 1 man =1/2 woman

1 child =1/4 woman

6 children =6/4 =3/2 women

Now, three men, four women and six children

=3/2 + 4 +3/2 = (3+8+3)/2 = 14/2 = 7 women - Three pipes P, Q and R connected to a Cistern. The first pipe (i.e) P can fill 1/2 part of the tank in one hour, second pipe, Q can fill 1/3 part of the cistern in one hour. R is connected to empty the cistern. After opening all the three pipes 7/12 part of the cistern. Then how much time required to empty the cistern completely?
35746Option D

In 1 hour, P can fill = 1/2 Part

Time taken to fill the Cistern by Pipe P = 2 hours

In 1 hour, Q can fill = 1/3 Part

Time taken to fill the Cistern by Pipe P = 3 hours

[1/2 + 1/3 â€“ 1/R] = 7/12

1/R = 1/4

Time required to empty the Cistern = 4 hours - P takes 6 days less than Q to finish the work individually. If P and Q working together complete the work in 4 days, then how many days are required by Q to complete the work alone ?
1/31/51/61/41/2Option D

Days required by Q to complete the work

=1/6 + 1/12

=2+1/12 =3/12 = Â¼ - A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
2040301050Option C

Part filled by both pipes A and B in 1 minute

=1/60+1/40=1/24

To fill the tanker from empty state, B is used for x/2 minutes and A and B together is used for the rest x/2 minutes.

x/2Ã—1/40+x/2Ã—1/24=1

â‡’x/2(1/40+1/24)=1

â‡’x/2Ã—8/120=1

â‡’x/2Ã—1/15=1

=>x=15Ã—2 =30 minutes - In what ratio must the 3 varieties of wheat costing Rs 42, Rs 54 and Rs 65 respectively be mixed so that the resulting mixture is sold for Rs 63.8 at a profit of 10%?
7:3:119:6:207:3:187:7:207:7:19Option D

SP = 63.8, Profit=10%, so CP = (100/110)*63.8 = 58

Now 58 is greater than 42 and 54 and less than 65

So

42 65

58

7 16

And

54 65

58

7 4

A : B : C = 7 : 7 : (16+4) = 7:7:20 - How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?
10 kg20 kg15 kg22 kg27 kgOption B

25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg.

(xÃ—42)+(25Ã—24)=32(x+25)

42x+600=32x+800

10x=200

x = 20kg - A, B, C subscribe Rs. 60,000 for a business, A subscribes Rs.8000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 40,000. Find how much A receives.
Rs.17,000Rs.15,000Rs.18,000Rs.14,000Rs.10,000Option C

Let C = x then B = x + 5000 and A = x + 5000 + 8000 = x + 13000.

x + x + 5000 + x + 13000 = 60000 <=> 3x = 42000 , x = 14000.

A : B : C = 27000 : 19000 : 14000 = 27 : 19 : 14

Aâ€™s share = Rs. (40000 * 27/60 ) = Rs.18,000 - In a business A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs.261300 was their profit how much amount did B receive?
Rs.122000Rs.162000Rs.135000Rs.120600Rs.152000Option D

A:B = 3:2

B:A = 2:3 = 4:6

A:C = 2:1= 6:3

Bâ€™s share = 6/13 * 261300

= Rs.120600 - A bag contains 2 red caps, 4 blue caps, 3 yellow caps and 5 green caps. If three caps are picked at random, what is the probability that none is green?
4/153/101/133/133/11Option D

Total caps = 14

Probability = 5c0 * 9c3/ 14c3 = 3/13