QUANT QUIZ ON BOATS AND STREAMS

QUANT QUIZ ON BOATS AND STREAMS

Boats and Streams  

Let us know what is Downstream and what is Upstream. Because these concepts are the heart of Boats and Streams.

Downstream : In water,the direction along the stream is called downstream. I mean, If a boat or a swimmer swims in the same direction as the stream, then it is called downstream. Obviously the boat or swimmer require less efforts to travel using downstream. Because the stream itself helps the objects to move. 

Remember, as the object moves along with the water, the stream helps the object. 

So, the down stream speed (DS) is 

DS =  U+V

where U is the speed of the object in the still (calm) water

V is the speed of the water. 

Upstream : If the boat or the swimmer is swimming in the opposite direction in which the stream is passing is called upstream. In simple words, the direction against the stream is called upstream.

Remember, as the object moves against the water pushes the object in opposite direction. 

So, the upstream speed (US) is

US = U-V

where U is the speed of the object in the still (calm) water

V is the speed of the water. 

Important Formulas on Boats and Streams :

Let us assume that the speed of the boat in still water is U km/hr and the speed of stream is V km/hr then, as mentioned above :

Speed downstream = (u+v)km/hr

Speed upstream = (u-v)km/hr

èIf the speed downstream is a km/hr and the speed upstream is b km/hr then :

Speed in still water = 1/2(a+b) km/hr

Rate of stream = 1/2(a-b)km/hr

SOME QUESTIONS ON BOATS AND STREAMS WITH SOLUTIONS:

(1)A man can row upstream at 8kmph and downstream at 10kmph. Find the man's rate in still water and the rate of current.

(2) A boat can travel with a speed of 12km/hr in still water . If the speed of the stream is 5km/hr , find the time taken by boat to go 68km downstream.

(3) If a man rows at the rate of 5kmph in still water and his rate against the current is 3.5kmph, then man's rate along the current is ?

(4) A boat covers a certain distance downstream in 1 hour, while it comes back  in 3/2 hours. If the speed of the stream is 3kmph, what is the speed of the boaat in still water ?

(5) A speed of a boat in still water is 10 km/hr. If it can travel 26km downstream and 14km upstream in the same time , the speed of the stream is ?

(6)The speed of the boat in still water is 10km/hr and the rate of the current is 3 km/hr. The distance travelled downstream in 12 minutes is ?

(7)what is the speed of the boat in still water ?

(i)The speed downstream of the boat is twice the speed upstream.

(ii)The sum of the speeds of the boat , upstream and downstream is 12kmph

8.A man can row upstream at 5kmph and downstream at 15kmph .The speed of the stream is ?

(9)A boat takes a total time three hours to travel downstreams from P to Q and the upstream back from Q to P. what is the speed of boat in still water ?

i)The speed of the river current is 1 km per hour

ii)The distance between P and Q is 4 km.

(10) .A man takes twice 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 is ?

ANSWERS WITH EXPLANATIONS

1.    Solution : Rate in still water = 1/2 (10+8)km/hr = 9km/hr

Rate of current = 1/2(10-8)km/hr =1km/hr

2.    Solution Speed downstream = (12+5)km/hr  = 17 km/hr

   Time taken to travel 68km downstream = 68/17hrs  =4hrs

3.    Solution: Let us consider the rate along the current be x kmph. 

Then, 1/2(x+3.5) = 5  or X= 6.5 Kmph

4.    Solution Let the speed of the boat in still water be x kmph.

Then speed downstream = (X+3)kmph

Speed upstraem = (x-3)kmph

Therefore (X+3)*1 = (x-3)*3/2

2x+6=3x-9  => X= 15kmph 

5.    solution : let the speed of the stream be x km/hr. then,

Speed downstream=(10+x)km/hr, 

 speed upstream= (10-x)km/hr

  Therefore  26/(10+x)= 14/(10-x)

 260-26x= 140+14x  => 40x=120

x=3km/hr

6.    solution : Speed downstream =(10+3)kmph= 13kmph

  Distance travelled = 13*12/60 = 2.4 kmph  

7.    solution: Let the speed of the boat be x km/hr . Then

 i) Speed downstream = 2x km/hr

 ii)Says, the speed of the boat in still water = (1/2*12) = 6km /hr

8.      Solution :    Speed of the stream = 1/2 (15-5) = 5kmph

9.    Solution : i) The speed of the current = 1km/hr

ii)PO =4km

 let the speed of the boat in still water be x km/hr 

4/(x+1) +4/(x-1) =3 

10.  solution : Let man's upstream be xkmph . then . his rate downstream =3x km/hr

 (Speed in still water) : (Speed of stream ) = (2x+x/2) : (2x-x/2) =3x/2 : x/2

  => 3:1

How to Prepare Data Interpretation for SBI PO

How to Prepare Data Interpretation for SBI PO 

Data Interpretation (DI) has been the most important part of SBI PO Exams over the years and it will play a major role in SBI PO 2014 exam also. One reason Data Interpretation is tricky is because it has no fixed syllabus. Here we provide some tips to crack Data Interpretation Section of SBI PO 2014.

The Data Interpretation section of SBI PO exam tests your decision-making ability and speed using limited input. Data Interpretation questions typically have large amounts of data given in the form of tables, pie-charts, line graphs or some non-conventional data representation format. The questions are calculation heavy and typically test your approximation abilities.

1. Interpret the data, don't just start calculations: Data Interpretation - The word itself conveys everything. You're supposed to "interpret" the data and not "blindly chew" it. One should understand this fact that ultimately bank wants to hire people, who are comfortable handling numbers.

2.Scan the Question Carefully: It is very important that you read the data carefully. Generally, each set of data interpretation question contains some easy questions, some medium difficulty level questions and few difficult questions.. So, there will be at least of couple of easy questions in each set which can be mark fetching. You should practice identifying the level of difficulty of questions so you know immediately which ones to attempt and which to avoid. This is your first step to tackle DI to crack SBI PO Exam.

3. Hone your Calculation Skills/Speed: For doing well in DI section, one should be very comfortable with numbers, calculations, fractions and percentages. It helps in reducing the time required for solving the questions. It is imperative, therefore to get very, very comfortable with calculations.  Try to develop shortcut techniques and approaches that will help you calculate in your head. If possible try to be thorough with Vedic Mathematics .It will help you a lot.

4.Get familiar with all types of DI questions: While practicing DI questions, you’ll begin to notice that there are different types or formats of questions in this section. There will be bar charts, tables, pie charts etc. Try to be familiar with all the formats of DI questions. It will add to your confidence and help you while you encounter the actual DI questions in the real exam to crack SBI PO.

5. Stop using calculator, while practicing at home: In SBI PO exam a candidate is not allowed to carry a calculator. So an aspirant should avoid using a calculator and manually solve all the calculations that comes his way in his daily life, be it in his job or while practicing for the entrance exams .

6. Practice is the key to success: : Last but not the least; you should practice as much as you can. The key to success is to solve the question in quick time and earlier than the others. Intensive practicing will help both your speed and confidence to increase considerably. This will help you face tough questions with determination. Once you build your basics, the practice will give you the edge and enable you to just scan the equation and give the answer.

First Bi-monthly Monetary Policy Statement, 2015-16

First Bi-monthly Monetary Policy Statement, 2015-16

The Reserve Bank of India (RBI), on 7th April 2015, kept the short-term policy rate (repo) unchanged at7.50 per cent.With the banks not transmitting to customers its earlier unscheduled 50 basis points cut in twin-doses, the Reserve Bank has now decided to await ‘more convincing data’ on inflationary pressures.

Monetary and Liquidity Measures:

• On the basis of an assessment of the current and evolving macroeconomic situation, it has been decided to:keep the policy repo rate under the liquidity adjustment facility (LAF) unchanged at 7.5 per cent;
• keep the cash reserve ratio (CRR) of scheduled banks unchanged at 4.0 per cent of net demand and time liability (NDTL); and
• continue to provide liquidity under overnight repos at 0.25 per cent of bank-wise NDTL at the LAF repo rate and liquidity under 7-day and 14-day term repos of up to 0.75 per cent of NDTL of the banking system through auctions; and
• continue with daily variable rate repos and reverse repos to smooth liquidity.

Consequently, the reverse repo rate under the LAF will remain unchanged at 6.5 per cent, and the marginal standing facility (MSF) rate and the Bank Rate at 8.5 percent

RBI pushes banks for lower lending rate:

The Reserve Bank of India (RBI) held interest rates steady on 7th April 2015, while boosting banks' liquidity in a bid to persuade them to lower lending rates after they failed to pass on the benefits of the last official rate cut three weeks ago.

SBI, HDFC Bank, ICICI Bank cut lending rate; home, auto loans to get cheaper:

Nudged by the Reserve Bank of India, leading banks, State Bank of India, ICICI Bank and HDFC Bank, on Tuesday cut their lending rates. While SBI and HDFC Bank cut rates by a token 0.15 per cent, ICICI Bank slashed its lending rate by 0.25 per cent.The action of the two banks could have a snowballing effect forcing others to follow suit, a move that can bring relief to corporate and retail borrowers including of home and auto loans.

Finally, the Reserve Bank would watch for signs of normalisation of the U.S. monetary policy.

1. Accommodative stance’ of monetary policy will be maintained

2. The outlook for growth is improving gradually

3. Output growth for 2015-16 is projected at 7.8 per cent

IBPS CLERK - IV - GK Power Capsule

IBPS CLERK - IV - GK Power Capsule

GK POWERCAPSULE FOR IBPS CLERK - IV EXAM 2014 

Banking In India: 

• Reserve Bank of India (RBI) was established in 1935 and Nationalized in 1949.  
• Sir Osborne Smith was the first Governor of the Reserve Bank of India  
• CD Deshmukh was the first Indian Governor of RBI.  
• The Reserve Bank of India was set up on the basis of the recommendations of the Hilton-Young Commission.  
• Savings account system in India was started by Presidency Bank, in 1833.  
• Cheque system was first introduced by Bengal Bank which was established in 1784.  
• Allahabad Bank is the oldest existing public sector bank in India.  
• Hongkong and Shanghai Banking Corporation (HSBC) introduced first time ATM in India in 1987, Mumbai.  
• Bank of India is the first Indian Bank to open overseas branch. It established a branch in London in 1946.  
• In 1955 Imperial Bank of India became State Bank of India.  
• On July 19, 1969, 14 commercial banks were nationalised in India. These included the Central Bank of India, Bank of India, Punjab National Bank, Bank of Baroda, United Commercial Bank, Canara Bank, Dena Bank, United Bank, Syndicate Bank, Allahabad Bank, Indian Bank, Bank of Maharashtra, Indian Overseas Bank and Union Bank.  
• In 1980 – 6 more commercial Banks nationalized. These include - Andhra Bank , Corporation Bank, New Bank of India , Oriental Bank of Commerce , Punjab & Sindh Bank and Vijaya Bank.  
• Central Bank of India was the first public bank to introduce credit card.  
• Central Bank of India is the first commercial bank which was managed by Indians.  
• ICICI Bank was the first Indian Bank to provide internet banking facility.  
• ICICI Bank was the first Bank to provide Mobile ATM.  
• Bank of Baroda has the maximum number of overseas branches.  
• SBI (State Bank of India) has the total number of maximum branches and holds 2nd position in the world.  
• India's first "talking" Automated Teller Machine (ATM) launched by Union Bank of India (UBI) for visually impaired was launched in Ahmedabad (Gujarat).  
• RBI to issue Rs 10 plastic currency notes in 5 cities: Kochi, Mysore, Jaipur, Bhubhaneswar and Shimla.  

Note: First plastic notes issued by Australia in 1988.  

• RuPay is an Indian domestic card scheme conceived and launched by the National Payments Corporation of India (NPCI). RuPay facilitates electronic payment at all Indian banks and financial institutions, and competes with MasterCard and Visa in India.  
• India's first non-bank owned ATM (White Label ATMs) opens in Maharashtra: Tata Communications Payments Solutions Ltd, a wholly owned subsidiary of Tata Communications Ltd, opened first White Label ATM at Chandrapada in Thane district, in Maharashtra.  

Important update on Himachal Pradesh Gramin Bank Recruitment

Himachal Pradesh Gramin Bank Recruitment

Himachal Pradesh Gramin Bank invites applications from Indian citizens, for the post of Officer in Middle Management Grade (Scale III), Officer in Middle Management Grade (Scale II), Officer in Junior Management (Scale I) and Office Assistant (Multipurpose) from Indian citizens who have been declared qualified at the Online CWE for RRBs conducted by IBPS during September/ October 2014.

Important Details -

• Application Begin Date: 07.04.2015
• Application End Date: 22.04.2015
• Fee Payment Start Date: 07.04.2015
• Fee Payment Last Date: 22.04.2015
• Last Date for Reprint: 07.05.2015

Local Language: Hindi

• Click Here to View the Notification
• Click Here to Apply Online

For Challans:

• Himachal Pradesh Gramin Bank Challan – Office Assistant
• Himachal Pradesh Gramin Bank Challan – Officer Scale
• Punjab National Bank – Office Assistant
• Punjab National Bank – Officer Scale

Quantitative Aptitude Quiz on Topic Profit and Loss

QUANT: Quiz for IBPS (PROFIT AND LOSS)

Dated: 08/04/2015

1.If the cost price is 25% of selling price. Then what is the profit percent.

 a.  150%

 b.  200%

 c.  300%

 d.  350%

 e.  None of these

2.A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ?

a.  2% Profit

b.  3% Profit

c.  2% Loss

 d.  3% Loss

e.  None of these

3.In terms of percentage profit, which among following the best transaction.

a.  C.P. 36, Profit 17

b.  C.P. 50, Profit 24

c.  C.P. 40, Profit 19

d.  C.P. 60, Profit 29

e.  None of these

4.A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles ?

a.  Rs15

b.  Rs 20

c.  Rs 22

d.  Rs 25

e.  None of these

5.A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is

a.  18%

b.  20%

c.  22%

d.  24%

e. None of these

6.A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%

a.  Rs 8.81

b.  Rs 9.81

c.  Rs 10.81

d.  Rs 11.81

e.  None of these

7.A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 21 per kg, then his gain percent is

a.  12%

b.  13%

c.  14%

d.  15%

e.  None of these

8.A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400

a.  4%

b.  5%

c.  6%

d.  7%

e.  None of these

9.A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.

a.  130%

b.  140%

c.  150%

d.  160%

e. None of these

10.If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is ?

a.  12%

b.  30%

c.  50%

d.  60%

e. None of these

Answer key and solution:
1- (C)(Explanation:Let the S.P = 100 then C.P. = 25 , Profit = 75, 
so Profit% = 75/25 * 100 = 300%
2-(B)
3-(D)
4-(C)(Explanation:As question states that rate was of pair of articles,
So rate of One article = 37.40/2 = Rs. 18.70
 Let Marked price = Rs X then 85% of X = 18.70 => X = 1870/85 = 22
5-(B)(Explanation:Let the cost price = Rs 100 then, Marked price = Rs 135 Required gain = 8%,
    So Selling price = Rs 108 Discount = 135 - 108 = 27, Discount% = (27/135)*100 = 20%
6-(D)(Explanation: 85 : 9 = 105 : x, x= (9?105/85) = Rs 11.81
7-(A)(Explanation: Suppose he bought 5 kg and 3 kg of tea,  Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.  Selling price = Rs. (8 x 21) = Rs. 168. Profit = 168 - 150 = 18,
So, Profit % = (18/150) * 100 = 12%
8-(D)(Explanation: Gain % = (164.36*100/2400) = 6.84 % = 7% approx
9-(B)(Explanation:Let the C.P. = x, Then S.P. = (120/100)x = 6x/5  New S.P. = 2(6x/5) = 12x/5
 Profit = 12x/5 - x = 7x/5  Profit% = (Profit/C.P.) * 100 => (7x/5) * (1/x) * 100 = 140 %
10-(C)(Explanation:Friends, we know we will need gain amount to get gain percent, right.
So lets get gain first.
 Let the cost price of 1 pen is Re 1  Cost of 8 pens = Rs 8 Selling price of 8 pens = 12
 Gain = 12 - 8 = 4 Gain%=(Gain Cost*100)%=(48*100)%=50%

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