Word Problems

6 )

8 women can complete the work in 10 days and 5 men can complete the work in 8 days where as 25 children can complete in 4 days. 16
women,4 men and 20 children work together for 2 days.If only women were to complete the remaining work in 1 day, how many women would
be required?

Cannot be determined

0 (Work is already completed)

View Solution

Answer :

(M1)(H1)(D1)/(W1)=(M2)(H2)(D2)/(W2)
Hence (8*10)W=(5*8)M=(25*4)C
4W=2M=5C
Now 16W+4M+20C=16W+8W+16W=40W
8W one day work=1/10
40W one day work=(1/10)*(40/8)=1/2
40W 2 day work=1
Remaining Work=0
Work is already completed.

7 )

A tank has a leak which would empty it in 6 hrs. A tap pumps water @ 8 litres/ minute into the tank, and it is now emptied in 12 hrs. What is
the capacity of tank?

5660L

4760L

5760L

5780L

5490L

View Solution

Answer :

In the absence of leak time taken by tap to fill tank=12*6/12-6=12hour
Water filled in 1 hour=8*60=480L
Therefore water filled in 12 hour=12*480=5760L

8 )

A man borrows Rs. 25,000 at 20% compound interest. At the end of every year he pays Rs. 5000 as part of repayment. How much does he still
owe after three such installments?

24000

24800

25300

25000

25700

View Solution

Answer :

C.I of 20000 in 3 years =25000*(1+20/100)^3=43200Rs
But as we are paying 2000Rs at the end of every year hence that should should be subtracted at the end of every year and the CI on remaining
amount must be calculated.
Therefore CI of 2000Rs that is paid at the end of 1st year=5000*(1+10/100)^2=7200
CI of 2000Rs that is paid at the end of 2nd year=5000*(1+10/100)^1=6000
Hence due amount after 3rd payment=43200-(7200+6000+5000)=25000

9 )

In a triangle, two sides of right angle triangle are 8 cm and 6 cm. If the triangle is revolved along the 8 cm side, the curved surface area of the
cone so formed will be

158.4 cubic cm

188.4 cubic cm

288.4 cubic cm

181.4 cubic cm

168.4 cubic cm

View Solution

Answer :

Radius of cone =8cm
Slant height=10cm
Curved surface area=πrl=22/7*6*10=188.4 cubic cm

10 )

Anil and Ruhi started a business by investing Rs 2000 and Rs 2800 respectively. After 8 months, Anil added Rs 600 and Ruhi added Rs 400. At
the same time Teena joined them with Rs 4200. Find the share of Teena if they get a profit of Rs 34,300 after a year.

7260

7280

7350

7450

7100

View Solution

Answer :

Share of Anil : Share of Ruhi : Share of Teena is
2000×8 + 2600×4 : 2800×8 + 3200×4 : 4200×4
33 : 44 : 21
so share of Teena = 21/(33+44+21) × 34300 = Rs 7350

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