Q:

A cistern has one inlet, L and one inlet, M. L takes 5 hours to fill the empty tank, when M is not open and M takes 8 hours to empty the full tank, if the tank is two fifth full, how much time will it take to fill the tank completely when both L and M are opened simultaneously? (in hours)

A) 5 hours B) 3 hours
C) 6 hours D) 8 hours
 
Answer & Explanation Answer: D) 8 hours

Explanation:
If the tank is 2/5th full, then remaining empty tank will be = 1-2/5=3/5th
L and M can fill the empty tank in = (5*8)/(8-5)=40/3 hours

Then 3/5 th tank fill in =40/3 * 3/5= 8 hours

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

2 2021
Q:

A alone can do a work in 20 days. B is 125% more efficient than A. A and B started working and worked for 4 days. If C alone completed the remaining job in 22 days. How many days C alone takes to complete the entire job?

A) 30 B) 35
C) 40 D) 42
 
Answer & Explanation Answer: C) 40

Explanation:
A alone can do = 20days 
 
Efficiency ratio of A & B= 4 : 5

Time required will be in ratio = 5:4

B alone will do it in =16 days

LCM of (16,20)= 80 ,
 
Assume work size of 80 units

 

1 day work of A= 4 units 1 day work of B= 5 units

 

Work done by both in 4 days= 4*(5+4)= 36 units

 

Work left= 80-36= 44 units

 

Now C takes 22 days to complete= 44 units.

 

Time taken by C alone to complete the work= 40 days
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Filed Under: Time and Work
Exam Prep: Bank Exams

0 3462
Q:

The average age of Hari, his wife and their two children is 23 years. His wife is just 4 years younger than Hari and his wife was 20 years old when their daughter was born. He was 28 years old when their son was born. What is the sum of the age of Hari and his daughter is?

A) 53 years B) 55 years
C) 56 years D) 50 years
 
Answer & Explanation Answer: D) 50 years

Explanation:
H+W+S+D/4 = 23
H= W+4

D =W-20 = H-24

S = H-28

H+H-4+H-24+H-28/4 = 23

H =37 D =13

H + D = 50

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

1 2456
Q:

Rithika had Rs 8000. She invested some of it in savings scheme P and the rest of the money in savings scheme Q. She invested for 3 years in savings scheme P and for 2 years in savings scheme Q. savings scheme P offers SI at a rate of 20% pa while savings scheme Q compounded annually at the rate of 30% pa. The interest received from savings scheme P is 930 more than the interest received from savings scheme Q. If Rs 1500 is debited from the invested amount of savings scheme P then find the difference between the amount invested by Rithika in savings scheme P & savings scheme Q.

A) Rs 200 B) Rs 300
C) Rs 400 D) Rs 500
 
Answer & Explanation Answer: D) Rs 500

Explanation:
Amount invested in savings scheme P= Rs X

Amount invested in savings scheme Q= Rs (8000-X)

Compounding 30 % for 2 years , rate

30+30+ (30*30)/100= 69 %

60 % of X-69 % of (8000-X)=930

X= 5000

In savings savings scheme Q = 8000-5000=3000

5000 - 1500 = 3500

Difference =3500-3000=Rs 500

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Filed Under: Partnership
Exam Prep: Bank Exams

0 1893
Q:

The Simple Interest(SI) for 16 years on an amount at particular rate is Rs 10000. If the principal is doubled at an interval of every 4 years and the rate is tripled at every such in terval, find the new Simple Interest(SI)

A) 632100 B) 689620
C) 602260 D) 647500
 
Answer & Explanation Answer: D) 647500

Explanation:
Let New SI be X

10000/16 = X/4(1*1+2*3+4*9+8*27)

10000/16=X/4(1+6+36+216)

X=647500

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Filed Under: Simple Interest
Exam Prep: Bank Exams

1 1020
Q:

Mahesh rows to the place 80 km away and back in 20 hours. He finds that he can row 8 km downstream in the same time as 4 km upstream. The speed of the boat in stillwater is

A) 9 kmph B) 7 kmph
C) 2 kmph D) 5 kmph
 
Answer & Explanation Answer: A) 9 kmph

Explanation:
If Mahesh moves 8 km downstream in X hours

Downstream speed = 8/X kmph

upstream speed = 4/X kmph

Now 80/(8/X) + 80/(4/X)=20

X=2/3

downstream Speed = 8/(2/3)= 12 kmph

upstream Speed = 4/(2/3)= 6 kmph

Rate of the stream = (12+6)/2= 9 kmph

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

10 2459
Q:

Ravi sold a smartphone for Rs. 30,000. Had he offered a discount of 10% on the selling price(SP), he would have earned a profit of 35%. What is the cost price?

A) Rs. 20,000 B) Rs. 22,000
C) Rs. 24,000 D) Rs. 26,000
 
Answer & Explanation Answer: A) Rs. 20,000

Explanation:
30,000*90/100 = 27000
27,000 = CP*135*/100
CP = 20000
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

2 1869
Q:

In a particular week the average number of people who visited the Park is 40. If we exclude the holidays then the average is increased by 16. Further if we exclude also the day on which the maximum number of 112 people visited the Park, then the average becomes 42. The number of holidays in the week is

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:
Total number of people = 40 * 7 = 280
(7 -n)*(40+16) = 280 
(7 -n)*56 = 280

7-n = 5

Number of holidays = 2

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Filed Under: Average
Exam Prep: Bank Exams

4 4271