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What is India’s retail inflation in April 2022, as it touched its highest point in eight years?
India’s retail inflation in April 2022 surged to 7.79 per cent in April, largely driven by rising fuel and food prices, touching its highest point in last eight years.
The previous high was recorded at 8.33 per cent in May 2014. 6.95 per cent inflation is recorded in the month of March. Food inflation accounted for nearly half the consumer price index (CPI) basket, reached high in April. Reserve Bank of India’s (RBI’s) upper tolerance limit for retail inflation is 6 %.
‘John Lee’, who was in the news recently, is the newly elected leader of which country?
John Lee was elected as Hong Kong’s next leader by an Election committee who cast their votes in a secret ballot. The committee included around 1,500 largely proBeijing members.
Lee, who was formerly Hong Kong’s Chief Secretary, will begin his fiveyear term replacing outgoing Chief Executive Carrie Lam. Hong Kong is a special administrative region of China which returned to Chinese rule in 1997 from the UK.
Which Indian architect has been conferred the prestigious Royal Gold Medal 2022?
Veteran architect Balkrishna Doshi was conferred the prestigious Royal Gold Medal 2022, one of the world’s highest honours for architecture, awarded by the Royal Institute of British Architects (RIBA).
The 94yearold architect is the only one from India. He is also the first to receive both the Royal Gold Medal and the Pritzker Architecture Prize, referred to as the Nobel Prize of architecture.
Agriculture Ministry signed a MoU with which organisation for technical support towards PMFBY and KCC?
The Ministry of Agriculture & Farmers Welfare (MoA&FW), Government of India and the United Nations Development Programme (UNDP) have recently signed a Memorandum of Understanding (MoU).
As per the MoU, UNDP will provide technical support towards the Pradhan Mantri Fasal Bima Yojana (PMFBY) scheme & Kisan Credit Card – Modified Interest Subvention Scheme. UNDP has been providing technical assistance for the last 4 years.
‘Thalassemia’ is the disease associated with which part of the body?
Every year World Thalassemia day is observed on May 8 across the world, to create awareness about the disease and to sensitise about the struggle of patients suffering from the disease.
Thalassemia is a genetic blood disorder that doesn’t let the body to create enough haemoglobin. The theme for this year’s World Thalassemia day is ‘Be Aware.Share.Care: Working with the global community as one to improve thalassemia knowledge.’
‘Yoon Sukyeol’ is the new President of which country?
South Korea’s new President Yoon Sukyeol has recently won the Presidential Elections by the narrowest margin ever.
He was a Prosecutor and played a significant role in convicting former president Park Geunhye for abuse of power. He gained public attention after his investigations into some of the country’s highprofile corruption scandals.
Which Union Ministry launched ‘BHARAT TAP’ initiative?
Minister for Housing and Urban Affairs Hardeep S Puri launched the BHARAT TAP initiative at the ‘Plumbex India’ exhibition.
BHARAT TAP initiative will provide lowflow, sanitaryware at scale, and thereby reduce water consumption at source considerably. The Puri also launched ‘Nirmal Jal Prayas’ initiative which will work for saving of 500 crore litres of water per year.
Which institution releases the Periodic Labour force survey (PLFS) results in India?
Under the periodic labour force survey (PLFS), a quarterly bulletin is released by the National Statistical Office (NSO), giving estimates of labour force indicators namely unemployment rate, Worker Population Ratio (WPR), Labour Force Participation Rate (LFPR) etc.
As per the OctoberDecember 2021 edition, the unemployment rate for persons of 15 years and above in urban areas slipped to 8.7 per cent from 10.3 per cent in the quarter yearago. In the JulySeptember 2021, it was 9.8 per cent in urban areas.
Which country launched “Affordable Connectivity Program” to provide subsidies on internet service to lowerincome households?
The United States has launched “Affordable Connectivity Program” to provide subsidies on internet service to lowerincome households.
It has been announced that 20 internet companies have agreed to provide discounted service to people with low incomes. The USD 14.2 billion funding for the program is a part of the USD 1 trillion infrastructure package passed by Congress last year. With the new program, about 48 million households will be eligible for USD 30 monthly plans for 100 megabits per second or higher speed.
When is the ‘International Day of Plant Health (IDPH)’ observed every year?
The United Nations designated 12 May the International Day of Plant Health (IDPH) to raise global awareness on protecting the plant health.
As per the UN, protecting plant health can help end hunger, reduce poverty, protect biodiversity and the environment, and boost economic development. Plants make up 80% of the food we eat and 98% of the oxygen we breathe. Up to 40% of food crops are lost due to plant pests and diseases every year.
Which company has designed India’s first Regional Rapid Transit System (RRTS)
India’s first Regional Rapid Transit System (RRTS) between Delhi and Meerut, is being designed by global mobility provider Alstom in Hyderabad and manufactured in Savli, Gujarat.
The first trainset of the system was handed over to the National Capital Region Transport Corporation for the DelhiGhaziabadMeerut RRTS Phase 1. India’s first semi highspeed regional train can move passengers at 180 km/hour.
Which is the first state in the country to offer breakfast in government schools?
Tamil Nadu has become the first state in the country to offer breakfast in government schools, along with the midday meal.
Chief Minister MK Stalin announced the breakfast scheme for students studying in Classes 1 to 5 in the state. The special nutritional scheme is based on a public health study by the government on the malnourished children in the state. Tamil Nadu was also a pioneer of the midday meal scheme.
Which country has been elected as the new Chair of the Association of Asian Election Authorities (AAEA) for 20222024?
India has been unanimously elected as the new Chair of the Association of Asian Election Authorities (AAEA) for 20222024.
Commission on Elections, Philippines was the previous chair of AAEA. Currently, 20 Asian Election Management Bodies (EMB) are members of AAEA and Election Commission of India (ECI) is a founder member of the EMB of AAEA. New members include Russia, Uzbekistan, Sri Lanka, Maldives, Taiwan, and the Philippines.
Which country established a ‘Digital Markets Unit (DMU)’ to curb authority of big tech companies over news publishers?
The UK recently released some competition rules for big tech companies like Google and Facebook, missing which will attract huge fines from the country.
UK established Digital Markets Unit (DMU) to curb authority of big tech companies over news publishers. It was announced that DMU will be given powers to curb the predatory practices of some firms. The regulator will have the power to fine companies up to 10% of their global turnover if they fail to comply.
Which is the first Indian company to cross USD 100 billion annual revenue?
Mukesh Ambani’s Reliance Industries Ltd first became the first Indian company to cross USD 100 billion annual revenue.
For the fiscal 202122, Reliance reported a net profit of ₹60,705 crore on a revenue of ₹7.92 lakh crore (USD 102 billion). The earnings rose due to the high oil refining margins, growth in telecom and digital services and strong retail business. Rise in broadband subscribers, online retail and new energy investment are also the reasons for rise in earnings.
‘Utkarsh Samaroh’ event was held in which state to celebrate the achievement of four state government schemes?
Prime Minister Narendra Modi virtually addressed ‘Utkarsh Samaroh’ event held at Bharuch in Gujarat. It was organized to mark the celebration of 100 percent saturation of four key schemes of the state government in the district.
Over 12000 beneficiaries were identified across the four schemes, which include Ganga Swaroopa Aarthik Sahay Yojana, Indira Gandhi Vrudh Sahay Yojana, Niradhar Vrudh Aarthik Sahay Yojana and Rashtriya Kutumb Sahay Yojana.
What is the mascot of the Fourth Khelo India Youth Games 2022?
Union Sports Minister Anurag Thakur launched the mascot ‘Dhakad’ along with official logo and official jersey of the Fourth Khelo India Youth Games.
Haryana is hosting the fourth edition of the Khelo India Youth Games from June 4 to June 13 at Panchkula and other cities. Five traditional games like gatka, thangta, kalarippayattu, mallakhamb and yogasana have been introduced for the first time in Khelo India Youth Games.
Which country has proposed a “European Political Community” for countries hopeful of joining the European Union?
The French President Emmanuel Macron suggested building a broader political community of democratic states around the European Union.
This new European organisation “European Political Community” would allow democratic European nations to find a new space for political cooperation, security, cooperation in energy, transport, investment, infrastructure etc. It will include Ukraine and other countries like Georgia and Moldova, who are also occupied by Moscow’s troops.
‘Katalin Novak’ was elected recently as the first female and youngest President of which country?
The Hungarian Parliament has elected Katalin Novak as the country’s firstever female president. The 44yearold Minister is also Hungary’s youngestever head of state
Novak, who recently served as a minister for family policy. She was known for the government policies including tax breaks and handouts designed to encourage young families to have more children.
By selling a 3.5 per cent stake in LIC, what is the total amount to be raised by the Government?
India’s biggestever initial public offering (IPO), by Life Insurance Corp (LIC), has been fully booked under all categories.
The portion set for policyholders was booked 6.11 times, employees by 4.39 times, retail investors by 1.99 times, noninstitutional investors by 2.91 times and qualified institutional buyers (QIB) by 2.83 times. The government will raise ₹ 21,000 crore from selling a 3.5 per cent stake in the country’s top insurer. This is only a third of the original target fixed by the government.
Raising and Accelerating MSME Performance’ (RAMP) is supported by which global institution?
The Union Cabinet has approved USD 808 million (₹6,062.45 crore) for a new scheme ‘Raising and Accelerating MSME Performance’ (RAMP).
The new scheme assisted by the World Bank is expected to commence in the financial year of 202223. It aims to improve access to market and credit of the MSMEs. It focuses on strengthening institutions and governance of the MSME programme, and support to market access and access to finance.
India recently signed an Economic Cooperation and Trade Agreement (ECTA) with which country?
India and Australia signed an Economic Cooperation and Trade Agreement (IndAus ECTA). It seeks to provide duty access to 96 per cent of India’s exports to Australia.
The exports include engineering goods, gems and jewellery, textiles, apparel and leather. The pact is expected to boost bilateral trade in goods and services to USD 4550 billion over five years and generate over one million jobs in India.
What is the theme of the ‘National Maritime Day’ 2022?
India recently celebrated the 59th National Maritime Day which falls on April 5 every year. This year’s theme is ‘Sustainable Shipping beyond Covid19’.
The first anniversary of the day was held in 1964 to raise awareness about international trade and economy. An award ceremony is held to honour those who made important contributions to the Indian maritime industry.
Which section of Railways has completed 100 per cent electrification across the zone?
Konkan Railway has recently completed 100 per cent electrification across the zone and it has set new benchmarks for sustainable development.
The Konkan Railway has completed the electrification work on its complete 741 km long route between Roha in Maharashtra and Thokur in Karnataka. The cost of this electrification project is Rs 1287 crore.
Which Asian country has declared a nationwide public emergency amidst protests over economic crisis?
Sri Lankan President Gotabaya Rajapaksa has declared a nationwide public emergency amidst protests over the worst economic crisis in the island nation.
The special gazette notification declared a public emergency in Sri Lanka with immediate effect from April 1. The residents are facing shortages in fuel, cooking gas, essentials in short supply and long hours of power cuts.
Which Union Ministry oversees the ‘Stand Up India Scheme’?
Ministry of Finance oversees the ‘Stand Up India Scheme’, which aims to promote entrepreneurship among women, Scheduled Castes (SC) & Scheduled Tribes (ST) categories, to help them in starting a Greenfield enterprise.
The scheme has completed six years and loans worth more than ₹30,160 crore have been sanctioned in the last six years. Over 1.33 lakh new entrepreneurs have been facilitated and more than 1 lakh women promoters have benefitted from this Scheme during the last six years.
Kaziranga National Park is located along which Indian River?
Kaziranga National Park is a protected area in Assam, spread along the Brahmaputra River. The National Park has successfully completed 14th Rhino Census in 2022.
There was increase of 200 onehorned rhinoceros from the 2018 figures even though 400 deaths were recorded mainly due to natural causes. With 903 females, 750 males, juvenile category and calves, the total population of onehorned rhinos is 2,613.
‘Sajibu Nongma Panba’ is a traditional festival of which Indian state?
‘Sajibu Nongma Panba’ is a traditional festival for the followers of the Sanamahism religion in Manipur, as a Lunar New Year.
The day is mostly observed on the first day of the lunar month of Sajibu. Also known as Meetei Cheiraoba or Sajibu Cheiraoba, the festival is celebrated by the Meitei people, one of the largest ethnic communities in Manipur.
Gangaur Festival is predominantly celebrated in which Indian state?
Gangaur Festival is predominantly celebrated in the state of Rajasthan. Rajasthan Tourism Department organised the festival after two years gap due to the Covid19 pandemic.
The festival commenced on April 3 and continues for 18 days. The Tourism Department of the state has made special arrangements to make the foreign tourists aware of the culture of the state.
Which bank acquired the Indian consumer banking businesses of Citibank?
Indian private sector lender Axis Bank has acquired the Indian consumer banking businesses of US bank Citigroup.
The sale includes businesses of credit cards, retail banking, wealth management and consumer loans for Rs 12,325 crore, as part of plans to exit its retail operations in 13 markets. The sale excludes Citi’s institutional client businesses in India.
What is the sum of all natural numbers between 100 and 200 which are multiples of 3?
Multiples of 3 between 100 and 200 are 102, 105, 108, 198.
Here, the first term = 102 last term = 198
Let the number of Multiples of 3 between 100 and 200 = n
Arithmetic Progression Formula: an = a1 + (n  1)d
Where, an = last term = 198
a1 = first term = 102
d = common difference = 105  102 = 3
⇒ 198 = 102 + (n  1) * 3
⇒ 198  102 = (n  1) * 3
⇒ 96 = (n  1) * 3
⇒ (n  1) = 96/3 = 32
⇒ n = 32 + 1
⇒ n = 33
Formula: Sum of n terms = Sn = (n/2) * (a1 + an )
where n = number of elements = 33
a1 = first term = 102
an= last term = 198
Thus, using the above formula, Sum of all natural numbers between 100 and 200 which are multiples of 3 = (33/2) * (102 + 198)
= (33/2) * 300
= 33 * 150
= 4950
A group of men could do a piece of work in 18 days. However, 6 men left the group before the work began and the remaining men in the group completed the work in 20days. What was the original size of the group?
If M1 persons can do a piece of work in D1 days and M2 persons can do same piece of work in D2 days, then M1*D1= M2 * D2.
Let the original number of men in the group be 'x'. (M1)
After 6 men left, the size of group be (x6) men. (M2)
Now using the above formula, we get
⇒ x * 18 = (x6) * 20
⇒ 18x = 20x 120
⇒ 120= 20x18x
⇒ 120 = 2x
⇒ x=60
Therefore, the original number of men in the group is 60 men.
A and B together can do a work in 8 days, B and C together in 6 days, while C and A together in 10 days. If they all work together, the work will be completed in how many days?
Formula: A and B together can do a work in x days, B and C together in y days, while C and A together in z days. If they all work together, the work will be completed in: (2xyz)/( xy+yz+zx)
In the above given problem 'x' = 8 days, 'y' = 6 days and 'z' = 10 days.
Substituting the values x, y and z in the formula, If they all work together, the work will be completed in : (2 * 8 * 6 * 10)/((8*6)+(6*10)+(10*8))
⇒ 960/(48+60+80) = 960/188 = 240/47 days
15 men take 20 days to complete a work working 8 hours a day. How many number of hours a day should 20 men take to complete the work in 12 days?
Formula: If M1 persons can do a piece of work in D1 days for h1 hours and M2 persons can do the same piece of work in D2 days for h2 hours,
then: M1D1h1 = M2D2h2.
In the above given problem M1=15 men, D1=20 days, h1=8 hours, M2=20 men, D2= 12 days. Substituting the above values in the formula, we get
⇒ 15 * 20 * 8 = 20 * 12 * h2;
⇒ 2400 = 240 * h2; h2 = 10 hours
Therefore, 10 hrs a day should 20 men take to complete the same work in 12 days.
Aman can complete a piece of work in 5 days, but with the help of his son he can finish the same piece of work in 3 days. Find the time taken by the son alone to complete the work?
If A can do a work in 'x' days and A + B can do the same work in 'y' days, then the number of days required to complete the work if B works alone is given by the formula: ( x * y)/(xy).
Aman alone takes 5 days (i.e x) to complete a piece of work and along with his son he can complete same of piece of work in 3 days(i.e y).
Therefore, his son alone takes ( x * y)/(xy) days to complete the same piece of work.
By substituting the given values in formula, his so will take (5 * 3)/(53) = 15/2 = 7.5 days.
Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is opened all the time and B and C are opened one hour each alternatively , the tank will be full in:
Tank filled in one hour when the taps A and B are open = (1/12)+(1/15)= 9/60= 3/20.
Tank filled in one hour when the taps A and C are open = (1/12) + (1/20) = 8/60 = 2/15
Therefore, part of the tank filled in two hours = (3/20) + (2/15) = 17/60.
Part filled in 6 hours = ( 17/60) * 3 = 51/60
Remaining part = 9/60 = 3/20
After 6 hours Now it is (A+B)' s turn
Time taken by the A+B to fill 3/20 part = 1 hour
Therefore, total time taken = 6+1 = 7 hours
A, B and C together earn Rs.300 per day, while A and C together earn Rs.188 and B and C together earn Rs.152. The daily earning of C is?
Daily Earning of A+B+C = Rs 300
Daily Earning of A and C together = A + C = Rs 188 ... (1)
Daily Earning of B and C together = B + C = Rs 152 ... (2)
Adding (1) and (2) we get A+B+2C = 188 + 152 = Rs 340
Therefore, Daily earning of C = 340  300 = Rs 40.
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
Work done by A in one day = 1/20. o B's 1 day's work (1/12  1/20) = (2/60)= 1/30.
B's half day work = (1/30)/2 = 1/60
A and B 's one day work (if B work for half day) = (1/20 + 1/60) = (4/60)= 1/15
Therefore, total number of days to complete the work = 15 days.
A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B on odd days and C on even days?
(A+B)'s 1 day' s work = (1/11 + 1/20 ) = 31/220
(A+C)'s 1 day's work = ( 1/11 + 1/55) = 6/55
Work done in 2 days by them= ( 31/220 + 6/55) = 55/220 = %.
Therefore, Whole work will be done in 8 days
4 men and 6 women complete a piece of work in 8 days while 3 men and 7 women complete it in 10 days. In how many days 10 women can finish the work?
Let 1 man's 1 day work be x and 1 woman's 1 day work be y. then
4x+6 y= 1/8 ...(1)
3x+7y = 1/10 ...(2)
Multiplying (1) by 3, (2) by 4 and subtracting, we get
10 y = (4/10 3/8)
= (1615)/40 = 1/40
⇒ y = 1/400
1 woman's 1 day work = 1/400
10 women's 1 day work = (1/400*10) = 1/40
Hence 10 women can finish the work in 40 days
In one minute 3/7 of a tank is filled. How much time will it take to fill the remaining part of the tank?
Part filled in 1 min. = 3/7.
Remaining part = (1 3/7)= 4/7
Let the required time be x min.
Therefore, 3/7: 4/7:: 1: x
⇒ 3x/7 = (4/7*1)
⇒ x= 4/3 min.
A man travels a distance of 12 km at 3 km/hr, another distance of 12km at 4 km/hr and a third distance of 12km at 6 km/hr. His average speed for the whole journey is:
The Average speed= (Total Distance/Total Time taken)
Time taken to cover first 12 km= (Distance/Speed)= (12/3)= 4 hours
Time taken to cover second 12 km= 12/4= 3 hours
Time taken to cover last 12 km= 12/ 6= 2 hours
Hence, total time taken for whole journey= (4+3+2) hours= 9 hours
Therefore, the average speed of whole journey= (Total distance/total time)
Average speed of man= (36/9)= 4 km/hr
A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?
As per the given information, the velocity of the stream is 4 km/hr.
The speed of the boat in still water is 10 km/hr.
Therefore, speed of boat in downstream = (10+4)= 14km/hr
The speed of boat in upstream = (104) = 6 km/hr.
Let the distance between A and B be 'x'. As C is the distance between B and C is x/2.
Total time taken to reach is 26 hours.
Therefore,
x/14 + (x/2)/6 = 26
⇒ x/14 + x/12 = 26
⇒ (7x+6x)/84 = 26
⇒ 13 x /84 = 26
⇒ x/84 = 2
⇒ x = 168.
The distance between A and B is 168 km.
A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?
Let the speed of the train be 's' m/s.
Let the length of the train be 'x' meters.
Relative speed of train and the first person who is moving at the speed of 5 m/s in opposite direction = (s+5) m/s.
Therefore, total distance travelled (i.e length of train) 'x'= Relative speed X time
x = (s+5) * 6 …. ( Eq 1)
Relative speed of train and the second person who is moving at the speed of 10 m/s in opposite direction = (s+10) m/s
Therefore, total distance travelled (i.e length of train) 'x' = Relative speed X time
x = (s+10) * 5 …. (Eq 2)
Since length of the train is same in both the cases, if we equate the equation 1 and equation 2 we get
⇒ (s+5) * 6 = (s+10) * 5
⇒ 6s+30= 5s+50
⇒ 6s  5s = 50  30
⇒ s = 20 m/s (i.e speed of the train)
Now, putting the value of speed of the train in equation 1 (we can put the value equation 2 as well) we get
Length of the train 'x' = (20+5) * 6
x = 25 * 6
x= 150
Therefore, length of the train is 150 meters.
How much time will a train 171 m long take to cross a bridge 229 m long, if it is running ^at a speed of 45 kmph?
Speed = (45*5/18)m/sec = 25/2 m/sec.
Required time =(171+229)/(25/2) sec.
= (400*2/25)sec. =32 sec.
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:
Let the speed of two trains be 7x Kmph and 8x kmph (speed of second train)
Then, 8x = 400 kms/4hrs = 100kmph
Therefore, speed of first train = 7x = (8/7) * 100
Speed of first train = 87.5 kmph
Reena runs 9 km at a pace of 6 km/hr. At what pace would she have to go amid the following 1.5 hours to have an average speed of 9 km/hr for the whole running session?
Time taken to cover 9 km = 9/6 hrs. = 1.5 hrs
Total time taken = (1.5 +1.5) hrs = 3 hrs.
Total distance covered in 3 hrs = Average speed * Total Time = (9 *3) = 27 km
In 1.5 hrs, distance covered = (279) km = 18 km
Required speed = 18/ (3/2) km/hr = (18*2/3) km/hr = 12 km/hr
If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 km/hr on return trip from Hyderabad to Bangalore. What is its average speed for the entire trip?
Standard Formula: If a certain distance is covered at x km/hr and the same distance is covered at y km/hr, then
2xy
Average Speed = km/hr
By looking at the above problem, we can say that, x= 60 km/hr and y= 80km/hr.
Therefore, average speed = [(2 * 60 * 80)/(60+80)] km/hr = 9600/140 = 68. 57 km/hr
Amit covers onefourth of the total distance at 20 kmph, onefourth at 10 kmph and rest of his journey at 80 kmph. Find Amit's average speed for the whole distance?
Average speed = Total Distance/Total Time
Let the total distance = D Km
Therefore, Time taken to complete first D/4 distance = t1 =(D/4)km/20kmph Time taken to complete second D/4 distance = t2 = (D/4)/10kmph Time taken to complete remaining distance (that is D/2) = t3 = (D/2)/80kmph Therefore, Average speed = Total Distance/Total Time = (D)/(t1+t2+3)
= D/(D/80 + D/40 + D/160)
= D/(2D + 4D + D)/160 = 160 D/7D
Therefore, Average Speed = 22. 85 kmph
A started a business with a capital of 10,000 rupees and four months later B joined him with a capital of Rs 5000. How much A gets more than B in the profit, if the total profit at the end of the year is Rs 2000.
The ratio of the profits will be according to their investment X duration
Ratio of profits of A to B = 10000*12/5000*8
Ratio = 3:1
Total profit = 2000
Hence, profit of A = 1500
Profit of B = 500
Therefore, profit of A is Rs. 1000 more than profit of B.
If Rahul played 25 singles badminton matches and won 17 out of these. If there were no tied or drawn matches, then what is the ratio of the number of matches won by Rahul to the number of matches he lost?
Total matches played = 25
Matches won = 17
Therefore, Matches lost = 25  17 = 8
Required Ratio = Matches won : Matches lost = 17 : 8
Two equal vessels A and B contain 60% of sugar and 40% of sugar respectively and the remaining Rava. In which 40 litres of mixture is taken out from vessel A and replaced into vessel B. Find the initial quantity of vessel if the final ratio of sugar and Rava in vessel B is 16:19 ?
Vessel A Sugar and Rava ratio = 3 : 2 Vessel B sugar and Rava ratio = 2 : 3
Given,
(2x + 24)/(3x + 16) = 16/19
38x + 456 = 48x + 256
10x= 200
x = 20 litres
Initial quantity = x*5 = 100 litres
There are two containers P and Q. P contains 56 kg of salt and Q contains 36 kg of sugar. From P 24 kg of salt is taken out and poured into Q. Then 20kg of the mixture from Q is taken out and poured into P. Find the ratio of final quantity of salt to sugar in container P.
Initially, the Amount of sugar in Q = 36kg
Now, 24kg of salt is poured in Q,
Total quantity in Q becomes = 36kg (sugar) + 24kg (salt) = 60kg (mixture)
The ratio of salt to sugar in Q becomes = 24 : 36 = 2 : 3
Now, the Amount of salt in P = 56  24 = 32 kg
Again, 20kg of the mixture is taken out from Q and poured into P
Therefore, quantity of salt and sugar in P becomes = [32 + 20 * (2/5)] kg of salt + 20 * (3/5) kg of sugar = (32 + 8) kg of salt + 12 kg of sugar = 40 kg of salt + 12 kg of sugar Required ratio = (40/12) = (10/3)
A got twice as many marks in English as in Science. His total marks in English, Science and Mathematics is 180. If the ratio of his marks in English and Mathematics is 2:3, what is his marks in Science?
English : Mathematics = 2:3
English : Science = 2:1
English : Mathematics : Science = 2:3:1
English + Mathematics + Science = 180
Marks in Science = (1/6)*180 = 30
The ratio of the number of UG students and PG students in a college is 5:4. If 40% of the UG students and 50 % of the PG students are scholarship holders. What percentage of the students does not get the scholarship?
Let UG students be = 5x and PG students be = 4x respectively
Number of those who do not get scholarship,
= 60% of 5x + 50% of 4x = (60/100*5x) + (50/100*4x)
= 300x/100+ 200x /100 = 3x + 2x = 5x
Required percentage = (5x/9x) *100 = 55.5%
For every 2 chocolate Mahesh gets Umesh is given 3 chocolate. If the total number of chocolate distributed to them is 65, then find the number of chocolates Umesh received?
Let Mahesh gets 2x chocolates and Umesh gets 3x chocolates.
Total chocolates = 5x =65;
x= 13
Therefore, Total chocolates received by Umesh = 3x = 3 * 13 = 39.
Ratio between two numbers is 3.2 and their difference is 25, then find the smaller number ?
Given, the ratio of two numbers = 3 : 2 Let the two numbers be 3x and 2x
Given, their difference = 25
⇒ 3x  2x = 25
⇒ x = 25
Smaller number = 2x = 2 * 25 = 50
A trader allows two successive discounts of 10% and 20%. If he sells the article for Rs. 144, then what is the marked price of the article?
Always the discount is provided on marked price. Here 2 successive discounts are given.
Let us assume that marked price is M.
So first discount is 10%. Thus the price becomes 9/10th. and the second discount is 20 %. Thus, price becomes 8/10.
After allowing these two discounts price comes out to be 144.
Now representing this mathematically:
M x 9/10 x 8/10 = 144 M x 72/100 =144 M= 144 x 100/72 M= 200
When the price of a radio was reduced by 20%, its sale increased by 80%. What was the net effect on the sale ?
Let the original price be x and sale be ofy units.
Then, the revenue collected initially = x x y
Now, new price = 0.8 x, new sale = 1.8 y
Then, new revenue collected = 1.44 xy
% increase in revenue = ([0.44xy/xy] x 100) = 44% increase
In a class, the number of girls is 20% more than that of the boys. The strength of the class is 66. If 4 more girls are admitted to the class, then what will be the ratio of the number of boys to that of the girls?
Let the number of boys = x
Then, the number of girls (20% more than that of boys) =x+(20/100)x
=(120/100)x
=(6/5)x
Total number of boys and girls in class is 66.
Therefore, x + (6/5)x = 66; x= 30
The number of girls = 66  30 = 36
Now, the number of total girls after 4 new girls are admitted to the class = 36 + 4 = 40
New ratio of the number of boys to that of the girls = 30 : 40 = 3 : 4
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