Daily GK Update 03rd August 2017

1. India and Somalia sign agreement on transfer of sentenced persons

i. India and Somalia signed a bilateral agreement for the transfer of sentenced persons. The move is step forward in deepening humanitarian cooperation between the two nations.

ii. The agreement was signed between External Affairs Minister Sushma Swaraj and Foreign Minister of the Federal Republic of Somalia Yusuf Garaad Omar.

Important Takeaways from Above News-

• Capital of Somalia is Mogadishu.
• Present President of Somalia is Mohamed Abdullahi Mohamed.

2. Cabinet approves MoU between India and BRICS countries to set up BRICS Agriculture Research Platform

i. The Union Cabinet chaired by the Prime Minister Shri Narendra Modi has given its ex-post facto approval for a Memorandum of Understanding (MoU) signed among India and various BRICS countries for establishment of the BRICS Agriculture Research Platform (BRICS-ARP).

ii. During the 7th BRICS Summit held in July 2015 at Ufa in Russia, PM Modi proposed to establish BRICS Agriculture Research Centre which will be a gift to the entire world.

Important Takeaways from Above News-

• The 8th BRICS Summit held on 16th October 2016 at Goa.
• BRICS countries include- Brazil, Russia, India, China, and South Africa.

3. Cabinet scraps no-detention policy for kids of Class 5 and 8

i. The Union Cabinet approved the scrapping of the no-detention policy in schools till Class 8th. It also gave its nod to the Human Resource Development Ministry's plan of creating 20 world-class institutions in the country.

ii. An enabling provision will be made in the Right of Children to Free and Compulsory Education Amendment Bill which will allow states to detain students in class 5 and class 8. The bill will now be placed in Parliament for approval.

Important Takeaways from Above News-

• Under the present provision of Right to Education (RTE) Act, students are promoted automatically to higher classes till Class VIII.
• This is one of the key components of the RTE Act which came into force on 1 April 2010.

4. SEBI forms committee headed by T K Viswanathan on fair market conduct

i. Regulator SEBI has set up a committee on 'fair market conduct' which will suggest measures for improving surveillance of the markets and strengthen rules for trades.

ii. The panel, under the chairmanship of former law secretary T K Viswanathan, would suggest measures for improvement in PIT (Prohibition of Insider Trading) norms, PFTUP (Prohibition of Fraudulent and Unfair Trade Practices) regulations and mainly related to 'trading plans' and handling of 'unpublished price sensitive information' during takeovers.

Important Takeaways from Above News-

• Ajay Tyagi is the present chairman of SEBI.
• Headquarter of SEBI is in Mumbai.
• SEBI full form is Securities and Exchange Board of India.

5. 7th Meeting of BRICS Trade Ministers held in Shanghai, China

i. The 7th Meeting of BRICS Trade Ministers was held in Shanghai, China. A six-member delegation led by Commerce and Industry Minister Smt. Nirmala Sitharaman.

ii. Mr. Zhong Shan, Minister of Commerce from China, presided over the meetings. Sitharaman discussed with her Chinese counterpart, Zhong Shan, the trade deficit in India-China bilateral trade which stands at $51 billion for 2016-17 from the $71.48 billion bilateral trade between the two countries.

Important Takeaways from Above News-

• The 8th BRICS Summit held on 16th October 2016 at Goa.
• BRICS countries include- Brazil, Russia, India, China, and South Africa.

6. Humraaz app: Army to launch app for soldiers

i. The Indian Army has developed a mobile application named 'Humraaz' through which serving soldiers can track details like postings and promotions. Through the app, soldiers can also view their monthly salary slips and the Form 16 and also download them.

ii. The mobile app has been developed in-house by the Army and will be launched in the second week of August for prompt communication of information to junior commissioner officers and other personnels.

Important Takeaways from Above News-

• The current Chief of Army Staff (COAS) is General Bipin Rawat.

7. India permitted to construct Kishanganga, Ratle projects under Indus Water Treaty: World Bank

i. World Bank allowed India to construct hydroelectric power facilities on tributaries of the Jhelum and Chenab rivers with certain restrictions under the 1960 Indus Waters Treaty (IWT).

ii. Pakistan opposes the construction of the Kishanganga (330 megawatts) and Ratle (850 megawatts) hydroelectric power plants being built by India in Jammu and Kashmir.

Important Takeaways from Above News-

• Headquarter of World Bank is in Washington, D.C., United States.

8. Justice B.N Srikrishna to head committee to study issues related to data protection

i. The Ministry of Electronics and Information Technology (MeitY) has appointed an expert panel committee that would study various issues relating to data protection in the country and will suggest a draft data protection Bill.
ii. It is a 10 member panel and it is headed by former Supreme court Judge Justice B N Srikrishna.

Important Takeaways from Above News-

• Ravi Shankar Prasad is the present Electronics and Information Technology minister.

9. SEBI approves appointment of Dhirendra Swarup as BSE chairman

i. SEBI has approved the appointment of Dhirendra Swarup as the chairman of the board of directors of the BSE.

ii. Dhirendra Swarup, who was a public interest director at the BSE, replaces incumbent Sudhakar Rao.  Swarup was the former Chairman of the Pension Funds Regulatory and Development Authority (PFRDA).

Important Takeaways from Above News-

• Ajay Tyagi is the present chairman of SEBI.
• Headquarter of SEBI is in Mumbai.

10. US Senate Confirms Christopher Wray as FBI Director

i. The US Senate has confirmed Christopher Wray to lead the FBI, replacing James Comey, who was abruptly fired by President Donald Trump.

ii. Christopher Wray was also the former high-ranking official in President George W. Bush’s Justice Department who oversaw investigations into corporate fraud.

Important Takeaways from Above News-

• The first president of America was George Washington.

11. Sanjaya Baru New Secretary General of FICCI

i. Sanjaya Baru has appointed as the Secretary General of the Federation of Indian Chambers of Commerce and Industry (FICCI).

ii. Sanjay will assume the charge from 1st September 2017. He succeeds A Didar Singh, who served as Secretary General for 5 years.

Important Takeaways from Above News-

• The Federation of Indian Chambers of Commerce and Industry (FICCI) is an association of business organizations in India.
• It was formed in 1927 and is headquartered in New Delhi.
• Pankaj Patel is the President of FICCI.

12. East Bengal honours Dhanraj Pillay with 'Bharat Gaurav'

i. Former India hockey captain Dhanraj Pillay was honored by East Bengal football club on its foundation day with its highest award, Bharat Gaurav.

ii. Former India international Subhash Bhowmick, a member of the 1970 Asian Games bronze medal-winning national football team, and former national team coach Syed Naeemuddin were honored with lifetime achievement awards.

Important Takeaways from Above News-

• P. R. Sreejesh is present captain of Indian hockey team.
• In 2012, Sanskriti Yuva Sanstha started “Bharat Gaurav Award” felicitation program.

13. Gautam Kaushik appointed as PAYBACK India's new CEO

i. Payback India has appointed Gautam Kaushik as the new Chief Executive Officer (CEO).

ii. Gautam Kaushik will spearhead the India operations and lead all the critical business areas. Prior to joining PAYBACK, Gautam was working with American Express (AMEX) as Vice President (VP) and Chief Financial Officer (CFO).

Important Takeaways from Above News-

• Payback is a multi-brand loyalty program in India.

14. Facebook Acquires AI Startup to Make Messenger Smarter 

i. To build out a more elaborate personal assistant for the Messenger users, Facebook has acquired an artificial intelligence (AI) startup Ozlo that specialises in understanding text-based conversations.

ii. Ozlo claims that its virtual assistants can understand and provide answers to questions which do not have simple “yes” or “no” answers.

Important Takeaways from Above News-

• Mark Zuckerberg is the CEO of Facebook.

15. Government Launches e-RaKAM Portal for Selling Agri Produce

i. The Union Government launched a portal, e-RaKAM, to provide a platform to sell agricultural produce. 

ii. The platform is a digital initiative that aims to bring together the farmers, PSUs, civil supplies and buyers on a single platform to ease the selling and buying process of agricultural products.
iii. With the help of the platform, various crops whose price increases due to rainfall or bad weather conditions will be managed and get the market.

Important Takeaways from Above News-

• Present Consumer Affairs, Food & Public Distribution Minister is Ram Vilas Paswan. 

16. Pushpa Bhargava, Scientist And Activist, Dies At 89

i. Veteran molecular biologist and a vehement critic of genetically modified crops, Pushpa Mittra Bhargava, died at his home in Hyderabad. He was 89.

ii. Bhargava hold a position of the vice-chairman of the national knowledge commission during 2005-07. He is a recipient of over 100 national and international honours and awards including the Padma Bhushan in 1986. He was also honoured with the Legion d’honneur in 1998.

17. Peter O'Neill Re-elected Prime Minister of Papua New Guinea

i. Peter O'Neill has been re-elected prime minister of Papua New Guinea by a newly elected parliament. 

ii. He is the leader of the People’s National Congress and represents the constituency of Ialibu-Pangia. Peter O’Neill won the parliamentary vote 60 to 46.

Important Takeaways from Above News-

• The Capital of Papua New Guinea is Port Moresby.
• Its Currency is Papua New Guinean kina.

18. Former Union Minister Santosh Mohan Dev Passes Away

i. Senior Congress leader and former Union minister Santosh Mohan Dev has passed away in Silchar, Assam. He was the son of freedom fighter Satindra Mohan Dev.

ii. Santosh served as the Minister of Heavy Industries and Public Enterprises under the UPA-1 government led by Manmohan Singh. He was the Minister of State for Communications from 1986-1988 and Minister of State for Home from 1988 to 1989.

Important Takeaways from Above News-

• Present minister of Heavy Industries and Public Enterprises is Anant Geete.

19. Lok Sabha passes Bill to replace NPA Ordinance

i. The Lok Sabha gave its nod for a Bill to replace the NPA Ordinance promulgated in May 2017. The Banking Regulation (Amendment) Bill 2017 sought to amend the Banking Regulation Act, 1949, for this purpose.

ii. The NPA Ordinance had conferred powers on the Centre for authorising the Reserve Bank of India to issue directions to banks to initiate the insolvency resolution process in respect of a default, under the Insolvency and Bankruptcy Code 2016.

Important Takeaways from Above News-

• Sumitra Mahajan is the Speaker of Lok Sabha.

20. Baba Ramdev's Patanjali Teams Up With Facebook, Google for Online Advertisement Push

i. Patanjali Ayurved Ltd., the herbal products manufacturer founded by yoga guru Baba Ramdev collaborates with Google and Facebook, Patanjali is for the first time investing in advertisements tailored for online audiences.

ii. Searches for Patanjali products on Google have gone up 11 times in the past four years and three-fold over the past three years.

Important Takeaways from Above News-

• Manufacturing units and headquarters of Patanjali are located in the industrial area of Haridwar.

21. Karnataka Bank to offer 5% for Saving Deposits over Rs 1 crore, 3% for Deposits Below Rs 1 lakh

i. Karnataka Bank has raised interest rates on savings bank account for large balance above Rs 1 crore to 5% while for small balances below Rs 1 lakh, the bank has reduced it to 3%. Earlier the private bank was charging 4% irrespective of the amount in the account.

ii. Karnataka Bank has said that the bank will offer 4% on deposits in savings account between Rs 50 lakhs and Rs 1 crore. For deposits between Rs 1 lakh and Rs 50 lakhs, the bank will offer 3.5%. The reduction in rate will be with immediate effect.

Important Takeaways from Above News-

• Mr.Mahabaleshwara M.S is the Managing Director & Chief Executive Officer of Karnataka Bank.
• Karnataka Bank was incorporated in 1924 at Mangaluru.

22. Walmart India Appoints Devendra Chawla as EVP and COO

i. Wal-Mart India, a wholly-owned subsidiary of US-based Wal-Mart Stores Inc., has appointed Devendra Chawla as chief operating officer and executive vice president.
ii. Chawla was CEO of the Future Consumer Limited (FCL) and Group President - Food, FMCG, Brands Future Group. Devendra will lead merchandising, marketing, and omni channel functions for Walmart India's cash and carry business.

Important Takeaways from Above News-

• Krish Iyer is the President and CEO Walmart India.

23. MCX, Mahindra Agri sign MoU for agriculture related price information

i. Multi Commodity Exchange of India Limited (MCX) and Mahindra Agri Solutions Ltd., a wholly owned subsidiary of Mahindra and Mahindra, have signed a Memorandum of Understanding (MoU) to provide agriculture related price information.

ii. This information would be available on their recently launched mobile application- ‘MyAgriGuru’, which is available for free on Google play store. This MoU would enhance the decision-making ability of the farmers further.

Quant Quiz

Time: 10 -12 minutes
1. A can do a work in 50 days and B in 40 days . They work together for 10 days and then A leaves and  B have to finish the work alone. How long will B take to finish it??

(a) 11 days

(b) 18 days

(c) 22 days

(d) 26 days

(e) None of these

2. 30 men, working 4 hrs a day can do a piece of work in 10 days. Find the number of days in which 45 men working 8 hrs a day can do twice the work. Assume that 2 men of the first group do as much work in 2 hrs as 4 men of the second group do in 1 hr.

(a) 6(1/3) days

(b) 6(2/3) days

(c) 5(3/6) days

(d) 3(1/6) days

(e) None of these

3. A alone would take 27 hrs more to complete the job than if both A and B would together. If B worked alone, he took 3 hrs more to complete the job than A and B worked together. What time, would they take if both A and B worked together?

(a) 8 hours

(b) 10 hours

(c) 9 hours

(d) 6 hours

(e) None of these

4. A and B together can do a piece of work in 12 days which B and C together will do in 16 days. After A has been working on it for 5 days, and B for 7 days, C finishes it in 13 days. In how many days A,B and C alone will do the work ?

(a) 16, 48 and 26 days respectively

(b) 16, 48 and 24 days respectively

(c) 26, 48 and 24 days respectively

(d) 16, 46 and 24 days respectively

(e) None of these

5. Two women Ganga and Jamuna, working separately can mow a field in 8 and 12 hours respectively. If they work for an hour alternately, Ganga beginning at 9 am, when will the mowing be finished?

(a) 9:30 PM

(b) 8:30 PM

(c) 6:00 AM

(d) 7:00 PM

(e) None of these

6. A, B and C together can do a work in 12 days. A alone can do the work in 36 days and B alone can do the same work in 54 days. Find in what time C alone can do that work?

(a) 9 days

(b) 18 days

(c) 24 days

(d) 27 days

(e) None of these

7. A, B and C together can do a work in 4 days. A alone can do the work in 12 days B alone can do the same work in 18 days. Find in what time C alone can do the same work alone?

(a) 9 days

(b) 18 days

(c) 27 days

(d) 8 days

(e) None of these

8. A can complete a work in 35 days and B can do the same work in 28 days. If A after doing 10 days, leaves the work , find in how many days B will do the remaining work?

(a) 15 days

(b) 10 days

(c) 27 days

(d) 24 days

(e) None of these

9. A can complete a work in 24 days and B can complete the same work in 18 days. If A after doing 4 days leaves the work find in how many days B will complete the remaining work?

(a) 11 days

(b) 15 days

(c) 12 days

(d) 10 days

(e) None of these

10. A and B together can do a piece of work in 6 days, B alone could do it in 8 days. Supposing B works at it for 5 days, in how many days A alone could finish the remaining work?

(a) 9 days

(b) 8 days

(c) 24 days

(d) 12 days

(e) None of these

11. A and B can do a piece of work in 20 days and 30 days. both starts the work together for some time,but B leaves the job 5 days before the work is completed. Find the time in which work is completed.

(a) 7 days

(b) 12 days

(c) 14 days

(d) 16 days

(e) None of these

12. Two pipes A & B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are open simultaneously. How much times will be taken to fill the tank?

(a)20 hour

(b)25 hour

(c)15 hour

(d)30 hour

(e)None of these

13. If A & B two pipes can fill a tank in 10 hour, when A pipe can fill a tank in 6 hour alone ,then in how much time will be taken to fill/empty the tank when pipe B open alone ?

(a) Empty in 15 hr

(b) Filled in 20 hr

(c) Empty in 20 hr

(d) Filled in 15 hr

(e) None of these

14. Pipe A and B can fill a tank in 10 hour and 12 hour respectively but pipe C can empty the same tank in 15 hour, In how much time it will take fill the tank when the three pipes are opened together? 

(a) 8.5 hour

(b) 10 hour

(c) 12 hour

(d) 15 hour

(e) None of these

15. Two pipes A & B fill an empty tank in 40 minutes and 60 minutes respectively, If both pipes are open simultaneously after how much time should A be closed so that tank is filled in 36 minutes? 

(a) 16 min

(b) 20 min

(c) 25 min

(d) 30 min

(e) None of these.

Answers :-
1. c
2. b
3. c
4. b
5. e
6. d
7. a
8. e
9. b
10. a
11. c
12. a
13. a
14. a
15. a

Explanation :

1. (c) 22 days
Let the total work be 200 work
Efficiency of
A = 200/50 = 4 work/day
B = 200/40 = 5 work/day
A+B’s efficiency = 9/day
A+B’s 10 days work = 9*10 = 90
Remaining work = 200-90 = 110
Time taken by B alone to finish the remaining wrk = 110/5 = 22days

2. (b) 6(2/3) days
 M1D1H1/E1W2 = M2D2H2/E2W1 (From MDH Rule)
Efficinecy of first grp : 2nd grp = 2*2 :4*1 = 1:1
Now, D2 = M1D1H1E1W2 / M2H2E2W1
D2 = 30*4*10*1*2 / 45*8*1*1
D2 = 20/3 = 6(2/3) days

3. (c) 9 Hours
Let A+B together takes X hours
A will take X+27 hrs
B will take X+3 hrs
Let the total work be (X+27)(X+3)
Efficiency of A= X+3
B = X+27
Total efficiency = 2X+30
Time working together = (X+27)(X+3) / 2X+30 = X
 X^2 +30X + 81 = 2X^2 + 30X
or, X^2 = 81 or X= 9 hrs (neglecting –Ve time )

4.  (b) 16, 48 and 24 days respectively
Let the total work be 48
Efficiency of
A+B = 4/day…… (i)
B+C = 3/day……..(ii)
Now, A works for 5 days, B works for 7 days and C works for 13 days and completes the total work of 48.
This can be rewritten as
A+B for 5 days + B+C for 2 days + C for 11 days completes the total work of 48
Now, A+B’s 5 days work = 20
B+C’s 2 days work = 6
Therefore, 20+6+ C’s 11 days work = 48
C’s  11 days work = 48-26 = 22
C’s efficiency = 2/day.. (iii)
From (i),(ii),(iii)
C’s efficiency = 2
B’s Efficiency = 1
A’s efficiency = 3
Time taken by
A= 16 days, B= 48 days, and C= 24 days

5. (e) None of these (6:30PM)
Let the total work be 24
Efficiency of Ganga = 24/8 = 3/hr
Efficiency of Jamuna= 24/12 = 2/hr
They work alternately starting from Ganga
First 2 hrs work = 3+2 = 5
First 8 hrs work = 20
Remaining = 24-20 = 4
9th hr work to be done by Ganga = 3
Remaining work = 4-3 = 1 to be done by Jamuna in 1/2 hr.
Total time = 8+1+(1/2) hrs = 9.5 hrs or 9 Hr 30 minutes
So work will be completed by 9AM + 9 hrs 30 minutes = 18 hrs 30 minutes or 6:30 PM

 6. (d) 27 Days
Let the total work be 108 (Common Multiple of 12,36 and 54)
Efficiency of A+B+C =108/12=  9,
of A alone = 108/36 = 3 and
of B alone = 108/54 = 2
Therefore of C alone = 9-(3+2) = 4
Time taken by C = 108/4 = 27 days

7. (a) 9 Days
Let the total work be 36 ( Can take any value Preferably Common Multiple )
Efficiency of
A+B+C = 36/4 = 9
A alone= 36/12 = 3
B alone = 36/18 = 2
C alone = A+B+C- (A+B) = 9-(3+2) = 4
Time taken by C alone = 36/4 = 9 days

8. (e) None of these (20 days)
Let the total work be 140
Efficiency of A = 4
Efficiency of B = 5
A works for 10 days = 4*10 = 40
Remaining work = 140-40 = 100 to be done by B
B will do it in 100/5 = 20 days

9. (b) 15 days
Let the total work be 72
Efficiency of A = 3 and Of B = 4
A’s 4 days work = 3*4 = 12 remaining work = 72 -12 = 60
Work completed by B in 60/4 = 15 days

10. (a) 9 days
Let the total work be 24
Efficiency of A+B = 4
Efficiency of B = 3
Efficiency of A = 1 as A+B = 4 and B= 3
Work done by B in 5 day = 3*5 = 15
Remaining work = 24-15 = 9
Remaining work to be done by A in 9/1 = 9 days

11. (c) 14 days
Let the total work be 60
Efficiency of A = 3 and of B = 2
Efficiency of A+B = 3+2 = 5
Suppose B never left the work then if the time taken remains same then work done by B in those 5 days will be added to original work.
Therefore, Now, works become = 60 + B’s 5 days work = 60+10 = 70
Time taken = 70/5 = 14 days

Other way :- B leaves the work 5 days before means A did work alone for that 5 days
Work Done by A in that 5 day = 5/20 = 1/4
Remaining work = 3/4
To complete the work together A+B would have taken  1/ (1/20+ 1/30)  = 600/50 = 12 days
3/4th of the work together will be completed in 12*3/4 = 9 days
Total time = 5+9 = 14 days

12. (a) Required Time = 1/(1/45+1/36)= 20 hour

13. (a) 1/6+ 1/B= 1/10
So B = -60/4 =-15
So b will empty the tank in 15 hour

14. (a) Total Time = 1/(1/10 + 1/12-1/15)= 8.5 hour

15. (a) Pipe B will work for 36 min.
in 36 min he will fill the part of tank = 36/60 =3/5 part
Remain part = 2/5
it will filled by A in minutes = 2/5*40 = 16 min
So Tap A should be closed after 16 minutes to fill the tank in 36 minutes.

Quant Quiz

1. A sum of money is divided among A,B,C and D in the ratio of 3 : 5 : 9 : 13 respectively. If the share of C is Rs. 2412 more than the share of A, then what is the total amount of money of B and D together? 

A) Rs. 4422 

B) Rs. 7236 

C) Rs. 6030 

D) Rs. 4824 

E) None of these 

2. The average age of 80 girls was 20 years, the average age of 20 of them was 22 years and that of another 20 was 24 years. Find the average age of the remaining girls. 

A) 17 years

B) 19 years

C) 21 years 

D) 15 years 

E) None of these 

3. Ms. Pooja  invests 13% of her monthly salary, i.e. Rs. 8554 in Mediclam Policies. Later she invests 23% of her monthly salary on child Education Policies; also she invests another 8% of her monthly salary on Mutual Funds. What is the total annual invested by Ms. Pooja? 

A) Rs. 28952 

B) Rs. 43428 

C) Rs. 347424 

D) Rs. 173712 

E) None of these

4. The profit earned after selling an article for Rs. 878 is the same as loss incurred after selling the article for Rs. 636. What is the cost price of the article? 

A) Rs. 797 

B) Rs. 787 

C) Rs. 767 

D) Rs. 757 

E) None of these

5. In a class of 240 students, each student got sweets that are 15% of the total number of students. How many sweets were there? 

A) 3000 

B) 3125 

C) 8640

D) 9789 

E) None of these.

6. Sonika spent Rs.  45, 760 on the interior decoration for her home, Rs. 27896 on buying air conditioner and the remaining 28% of the total amount she had as cash with her. What was the total amount? 

A) Rs. 98540 

B) Rs. 102300 

C) Rs. 134560 

D) Cannot be determined  

E) None of these

7. The ages of Khushi and Jagriti are in the ratio of 5 : 8 respectively. After 8 years the ratio of their ages will be 3 : 4. What is the difference in their ages? 

A) 16 years

B) 8 years

C) 10 years 

D) 12 years 

E) None of these

8. By how much is 6/11 th of 506 lesser than 3/5 of 895? 

A) 178

B) 219

C) 143 

D) 261 

E) None of these

9. The average of the ages of Sumit, Krishna and Rishabh is 43 years and the average of the ages of Sumit, Rishabh and Rohit is 49 years. If Rohit is 54 years old, what is Krishna'a age? 

A) 45 years

B) 24 years

C) 36 years 

D) Cannot be determined  

E) None of these

10. The compound interest occured on an amount at the end of three years at 15 p.c.p.a is 6500.52. What is  the amount? 

A) Rs. 12480 

B) Rs. 10500 

C) Rs. 14800 

D) Rs. 13620 

E) None of these

11. ‘P’ liters of oil were poured into a tank and it was still r% empty How much oil must be poured into the tank in order to fill it to the brim?
A) (P × r)/(100-r)
B) P/(100-r)
C) 100P/(100-r)
D)  100P×r/ (100-r)
E) None of these

12. A sum of money is accumulating at compound interest at a certain rate of interest. If Simple interest instead of compound interest were reckoned, the interest for the first two years would be diminished by Rs. 20 and that for the first three years by Rs. 61. Find the Sum?   
A) 8000
B) 6000
C) 10,000
D) 12,000
E) None of these

13.  In Utkarsh’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doesn’t agree with Utkarsh and he thinks that Utkarsh’s weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Utkarsh?
A) 67 kg
B) 68 kg
C) 69 kg.
D) Data inadequate
E) None of these

14.  Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
A) 5/11
B) 7/11
C) 9/11
D) 3/11
E) None of these

15.  A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
A) 10 days
B) 12 days
C) 20 days
D) 25 days
E) None of these

ANSWERS & SOLUTIONS

1. B
2. A
3. C
4. D
5. C
6. B
7. E
8. D
9. C
10. A
11. A
12. A
13. A
14. E
15. B

1.(B) Let the original sum be Rs. x.
Sum of the Ratios = 3 + 5 + 9 + 13 = 30
C's share = Rs. 9x/30 = Rs. 3x/10
A's share = Rs. 3x/30 = Rs. x/10
According to the question,
3x/10 - x/10 = 2412
2x/10 = 2412
x = 2412 * 5 = Rs 12060
Amount received by B and D together
=  Rs. (((5+13))/30  ×12060)
= 7236

2.(A) Total age of remaining 40 girls
=  (80 * 20 - 20 * 22 - 20 * 24) years
= (1600 - 440 - 480) years
= 680 years
Required average age = 680/40 = 17 years

3.(C) Let Ms. Pooja's monthly salary be Rs. x
According to the question,
13% of x = Rs. 8554
= x = Rs.  (8554 * 100)/13 = Rs. 65800
Total monthly investment in percentage
= 13 + 23 + 8 = 44
Total montly investment = 44% of Rs. 65800
= (44 * 65800)/100
= Rs. 28952
Total annul investment = Rs.  (12 * 28952)
= Rs. 347424

4. (D) Let the CP of the article be Rs. x.
According to the question,
878 - x = x - 636
= 2x = 878 + 636 = 1514
x = 1514/2 = Rs. 757

5. (C) Number of sweets received by each student
= 15% of 240
= 15 * 240/100 = 36
Total number of sweets = 240 * 36 = 8640

6. (B) Let the total amount be Rs. x
The amount spent = 100 - 28 = 72%
72% of x = Rs. (45760 + 27896)
= 72 * x /100 = 73656
x = 73656 * 100/72 = Rs. 102300.

7.(E) Let the present ages of Khushi and Jagriti be 5x and 8x years respectively.
After 8 years,
5x + 8/8x + 8 = 3/4
= 24x + 24 = 20x + 32
= 4x = 32 - 24 = 8
x = 8/4 = 2
Required difference = (8x - 5x) years
= 3x = 3 * 2 = 6 years

8. (D) Required difference = 3/5 * 895 - 6/11 * 506
= 537 - 276 = 261

9. (C) (Sumit + Krishna + Rishabh)'s age
= 43 * 3 = 129 years .........................(i)
(Sumit + Rishabh + Rohit)'s age
= 3 * 49 = 147 years  .........................(ii)
By equation (i) - (ii), we have,
Krishan's age -  Rohit's age = 129 - 147 = -18
Krishna's age = 54 - 18 = 36 years

10. (A) Let the principal be Rs. P.
According to the question,
CI = P [(1+ R/100)^T- 1]
6500.52 = P [(1+ 15/100)^3- 1]
= 6500.52 = P [1.520875 -1]
P = 6500.52/0.520875 = Rs. 12480

11. (A) After filling ‘P’ liter still r % empty. So (100-r)% = P liter ;
Let x liter require to fill remain tank.
So full capacity of tank = 100P/(100-r)
 So x= r% of capacity = 100P/(100-r) * r/100 = Pr/(100-r)

12. (A) P(r/100)^2= 20 –(1)
P(r/100)^2 ×(300+r)/100 =61     -(2)
Putting value from eqn 1
(300+r)/100 =61/20
On solving r = 5%
After put value in eqn(1) P= 8000

13. (A) Go through statements, it’s clear that average of probable weight of Utkarsh  is 67 kg.

14. (E) Part filled by A+B+C in 3 min = 3(1/20+1/30+1/10) = 11/20
Part filled by C  in 10 min = 3/10
Required ratio = 3/10:11/20 = 6:11
So the solution R in the liquid in the tank after 3 minutes = 6/11


15. (B) A and B together 1 day work =1/15+1/10 =5/30=1/6
 Both work for 2 day  = 1/3
Remain work =2/3
Left work done in (2/3) ÷ (1/15) =10 days
So total day = 10+2 = 12 days