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Q:

Pipes A and B can fill a cistern in 15 hours together. But ifthese pipes operate separately A takes 40 hours less than Bto fill the tank. In how many hours the pipe A will fill thecistern working alone?

A) 60 B) 20
C) 40 D) 15
 
Answer & Explanation Answer: B) 20

Explanation:

Let A takes x hours, then B = (x+40) hours

1/x + 1/x+40 = 1/15

x = 20

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Filed Under: Pipes and Cistern

Q:

Two persons A and B invested in a business with 115000and 75000 rupees respectively. They agree that 40% of theprofit should be divided equally among them and rest isdivided between them according to their investment. If Agot 500 rupee more than B, then the total profit is

A) 3599.34 B) 699.34
C) 3958.34 D) 999.34
 
Answer & Explanation Answer: C) 3958.34

Explanation:

Ratio in which the profit will divide – 23:15. Let theprofit be P

Now, [(23/38) - (15/38)] x (60/100) x P = 500

P = 3958.34

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Filed Under: Partnership

Q:

8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

A) 10 ltr B) 20 ltr
C) 30 ltr D) 40 ltr
 
Answer & Explanation Answer: B) 20 ltr

Explanation:

Let initial quantity be Q, and final quantity be F

F = Q(1 - 8/Q)4

=> Q = 20

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Filed Under: Alligation or Mixture

Q:

A company reduces his employee in the ratio 14 : 12 andincreases their wages in the ratio 16:18. Determine whetherthe bill of wages increases or not and in what ratio

A) Decreases, 28: 27 B) Increases, 27:28
C) Decreases, 29:28 D) Increases, 28:29
 
Answer & Explanation Answer: A) Decreases, 28: 27

Explanation:

Let the initial employee be 14a and final employee be 12a

similarly initial wage is 16b and final wage be 18b

Total initial wage = 14a × 16b = 224ab,

total final wage= 12a × 18b = 216ab

So clearly wages decreases and ratio = 224ab: 216ab= 28 : 27

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Filed Under: Ratios and Proportions

Q:

Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutesand 24 minutes respectively. The pipe R is closed 12 minutesbefore the tank is filled. In what time the tank is full?

A) 8 (5/13) hrs B) 8 (4/13) hrs
C) 7 (4/13) hrs D) 8 (6/13) hrs
 
Answer & Explanation Answer: B) 8 (4/13) hrs

Explanation:
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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

Q:

A and B can do a piece of work in 24 and 30 daysrespectively. Both started the work and worked for 6 days.Then B leaves the work and C joins and the remaining workis completed by A and C together in 11 days. Find the days in which C alone can do the work

A) 80 B) 100
C) 120 D) 130
 
Answer & Explanation Answer: C) 120

Explanation:

(1/24 + 1/30) x 6 + (1/24 + 1/C) x 11 = 1

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Filed Under: Time and Work
Exam Prep: Bank Exams

Q:

James present age is 2/7th of his fathers present age. James brother is three year older to Jame. The respective ratio between present ages of James father and James brother is 14:5. What is the present age of James?

A) 12 years B) 13 years
C) 14 years D) 15 years
 
Answer & Explanation Answer: A) 12 years

Explanation:

James father present age = x
James age = 2/7 x
James brother age = 2x/7 + 3
x = 42
=> 2x/7 = 12 yrs

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

Q:

Ashok can row upstream at 8 kmph and downstream at 12kmph.What is the speed of the stream ?

A) 6 km/hr B) 3 km/hr
C) 2 km/hr D) 4.5 km/hr
 
Answer & Explanation Answer: C) 2 km/hr

Explanation:

If the speed downstream is a kmph and the speedup stream is b kmph then
Speed of the stream = 1/2 x (a–b) kmph
Speed downstream a = 12kmph
Speed upstream b = 8 kmph
Speed of the stream = 1/2 x (a–b) = 1/2 x (12–8)= 4/2 = 2 kmph

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Filed Under: Boats and Streams
Exam Prep: Bank Exams