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Which Indian state announced to celebrate the birth anniversary of Dr Ambedkar on April 14 as ‘Equality Day’?
Tamil Nadu Chief Minister M K Stalin announced in the Legislative Assembly that the birth anniversary of Dr Ambedkar on April 14 would be celebrated as ‘Equality Day’ from this year.
The Chief Minister said that a pledge would also be taken across the state on the day. The government also plans to translate and publish some of the selected books of Ambedkar in Tamil.
Which state has announced to celebrate the birth anniversary of Siddalinga Swami as ‘Integration Day’?
Karnataka Chief Minister Basavaraj Bommai announced that the birth anniversary of Siddalinga Swami will be celebrated as ‘Integration Day’.
Siddalinga Swami of Tontadarya Mutt in Gadag was a thinker and philosopher. He led the ‘Save Kappatagudda’ movement, which forced the Government to declare it a wildlife sanctuary.
‘Mugger’, which was seen in the news, is the name of which species?
Muggers or marsh crocodiles (Crocodylus palustris) are freshwater crocodiles. They are found all over south Asia and Southeastern Iran. In India, they are found more in middle Ganges Basin and Chambal Basins.
Recently, over 350 mugger crocodiles in Rajasthan’s Jawai dam, are struggling to survive due to extreme and early heat in the months of March and April. The Indian Railways has been delivering water to Western Rajasthan as several water bodies dried up. Jawai River is a tributary of Luni River.
Research Designs and Standards Organisation (RDSO) functions under which organisation?
Research Designs and Standards Organisation (RDSO) is a research organisation, functioning under Indian Railways.
Indian Railways has announced that the operation of diesel locomotives with B5 biodiesel have been tested by Research Designs and Standards Organisation (RDSO). Biodiesel may be used for running diesel locomotives in a pilot initially.
QuestionId: 641894
‘Moskva’, which was seen in the news, is a famous warship of which country?
The 510crew missile cruiser ‘Moskva’, which was a symbol of Russia’s military power, is said to be hit by Ukrainian missiles.
As per Russian Military sources, the warship which was leading its naval assault on Ukraine, was damaged by an explosion and sank after a fire. The 12,490tonne vessel is the biggest Russian warship to be sunk in action since Second World War.
Samia Suluhu Hassan, who was seen in the news recently, is the first female President of which country?
Samia Suluhu Hassan is the first female President of Tanzania. It is the largest country in EastAfrican region and known for the Kilimanjaro National Park. She is currently the only female head of government in Africa.
Recently, the President of the Country met Kamala Harris, the first woman and first woman of color to be Vice President of the United States. This meeting is expected to pull more investors towards Tanzania. Unlike the previous President, Samia Hassan encouraged Covid vaccinations by publicly taking the shot herself.
What is the foodgrain production target announced for crop year 202223?
The ‘National Conference on Agriculture: Kharif Campaign 2022’ was inaugurated by Union Agriculture Minister Narendra Singh Tomar.
During the event, the government announced a foodgrain production target of 328 million tonnes for 202223. Kharif foodgrain production target has been fixed at 163.15 million tonnes, while Rabi foodgrain production target has been kept at 164.85 million tonnes. Total food grain production has increased by 25% in the last 6 years from 251.54 to 316.01 million tonnes.
Himachal Diwas (Himachal Day) is celebrated on April 15 every year. It was on this day in 1948 that Himachal Pradesh was created as a province of India after the integration of 28 small princely states.
On this day, the state’s Chief Minister announced various new schemes including 50 per cent discount in HRTC buses for women, Zero bill to all power consumers up to 125 units, No water bill for all the families living in rural areas etc. Mukhya Mantri Grihini Suvidha Yojna, Jan Mach, Sahara Yojna, CM Himcare scheme and Mukhya Mantri Shagun Yojna are some other schemes of the state.
As per the World Bank, what is the daily expense limit below which a person is classified to be in Extreme Poverty?
As per the World Bank, Extreme poverty is measured in terms of the number of people living on less than USD 1.90 a day (around Rs 145).
The World Bank recently released a working paper, titled ‘Poverty in India Has Declined over the Last Decade But Not As Much As Previously Thought’.
Extreme poverty in India dropped to 10.2% in the preCovid year of 2019 from 22.5% in 2011. The pace of reduction in rural India has been more dramatic than in urban areas.
‘National Apprenticeship Mela’ has been organised under which mission?
Skill India, in association with the Directorate General of Training (DGT), is organising a daylong ‘Apprenticeship Mela’ across the country in more than over 700 locations.
The initiative aims to support hiring of more than one lakh apprentices. It will assist employers in hiring the right talent and develop it further with training and providing practical skillsets.
What is the expansion of ‘LPA’ based on which the India Meteorological Department (IMD) forecasts the monsoon?
The India Meteorological Department (IMD) said in its first Long Range Forecast (LRF) for this year that the country is likely to receive a normal monsoon for the fourth consecutive year.
Rainfall in the JuneSeptember southwest monsoon season was in the normal range in 2019, 2020, and 2021 as well. The IMD maintains five rainfall distribution categories on an allIndia scale. These are: normal, below normal, above normal Deficient Excess in relation to a benchmark “long period average” (LPA).
Which Union Ministry organises ‘Block Level Health Melas’ at more than 1 lakh Ayushman BharatHealth and Wellness Centres?
The Union Health Ministry is organising Block Level Health Melas at more than one lakh Ayushman BharatHealth and Wellness Centres across the country.
This is being organised in collaboration with all states, UTs and related ministries such as Women and Child Development, Information and Broadcasting, Panchayati Raj, AYUSH and Education. The Melas are part of Azadi ka Amrit Mahotsav to create awareness about Ayushman BharatHealth and Wellness Centres and telemedicine and teleconsultations.
Which state launched its ‘Space Tech’ Framework and hosted the launch event on Metaverse?
Telangana launched its Space Tech Framework to promote domestic production of launch vehicles, satellite systems and subsystems, ground equipment manufacturing and other facilities.
It was also the first ever official government event to be hosted on Metaverse. A spacethemed Metaverse environment was developed along with avatars of key participants including Industries and IT Minister KT Rama Rao, Niti Aayog CEO Amitabh Kant, ISRO Chairman Somanath among others.
‘Neptune Missile system’, which was seen in the news, is associated with which country?
The Russian Black Sea Fleet ‘Moskva’ sank off the coast of Odessa after a missile strike on the ship. Russians claimed that an onboard ammunition fire caused the blasts on the ship, while the Ukrainians stated that it was a planned strike using the Neptune antiship cruise missiles.
The Neptune Missile system was inducted into the Ukrainian Forces in 2021, after Russian threat to the coastal areas of Ukraine was growing rapidly since occupation of Crimea in 2014. Neptune is a coastal antiship cruise missile which is capable of destruction of naval vessels in a range of 300 km.
Which country is the host of International Water Week Water Convention 2022?
Director General, National Mission for Clean Ganga (NMCG) of India participated virtually in Singapore International Water Week, Water Convention 2022 and gave a presentation on ‘Status of Wastewater Generation, Treatment and Management in India”.
In the second part of the session, panelists from other developing as well as developed countries shared their experiences, challenges and best practices adopted in the sector.
Which Indian Armed Force organises the National Level Pollution Response Exercise NATPOLREX?
The National Level Pollution Response Exercise NATPOLREX is being conducted by the Indian Coast Guard (ICG) off Mormugao harbour in Goa.
Union Defence Secretary Ajay Kumar inaugurated the ‘NATPOLREX’, the twoday marine spill preparedness exercise. Over 85 participants from 50 agencies, including observers from 22 friendly foreign countries and International Organisations, and two Coast Guard ships from Sri Lanka and Bangladesh participated in the event.
Which company delivered the scorpeneclass submarine INS – Vagsheer to the Indian Navy?
Defence secretary Ajay Kumar launched INS Vagsheer, the sixth Scorpeneclass submarine under Project75. It is named after the sand fish, a predator of the Indian Ocean.
The Mazagon Dock has already delivered four Scorpeneclass submarines under the project to the Indian Navy – INS Kalvari, INS Khanderi, INS Karanj and INS Vela. The fifth submarine ‘Vagir’ is under trial at sea, and is set to be commissioned before the end of this year.
Who has been appointed new Vice Chairperson of NITI Aayog (in April 2022)?
Dr. Suman K Bery has been appointed new Vice Chairperson of NITI Aayog. He will succeed Dr. Rajiv Kumar, as per the Ministry of Personnel, Public Grievances and Pensions.
Dr. Suman K Bery had served as DirectorGeneral of the National Council of Applied Economic Research (NCAER) a leading nonprofit policy research institution. He also served as a member of the Prime Minister’s Economic Advisory Council, National Statistical Commission and Reserve Bank of India’s Technical Advisory Committee on Monetary Policy.
‘Trilateral Development Corporation (TDC) Fund’ is a new diplomatic initiative of which country?
Union Ministry of External Affairs of India has recently launched a platform called the Trilateral Development Corporation (TDC).
The fund would involve private sectors with state support for investments in the IndoPacific region and other regions. It aims to provide an alternative to China’s BeltRoad Initiative (BRI), a global infrastructure development strategy. UK offers 5G, nuclear and highspeed rail technologies for BRI.
Which Union Ministry launched the commemorative event “Enterprise India”?
Union Minister for Micro, Small and Medium Enterprises Shri Narayan Rane inaugurated the Ministry’s Mega Event “Enterprise India” under Azadi Ka Amrit Mahotsav.
It is a series of commemorative entrepreneurship development events and activities being organised to promote entrepreneurship culture and create awareness about the schemes and initiatives of Ministry of MSME across the country.
Which city is the host of the ‘Global Ayush Investment and Innovation Summit 2022’?
‘Global Ayush Investment and Innovation Summit 2022’ was organised by the AYUSH Ministry to seek investments into the sector and to develop India as the hub for traditional medicine practices. It is organised in the city of Gandhinagar, Gujarat.
Ayurveda, Yoga, Naturopathy, Unani, Siddha, and Homeopathy (Ayush) Ministry has received Letter of Intent (LOI) from 28 companies amounting to Rs. 6000 crores. This will help create over 5.5 lakh jobs across the country.
‘Urja Pravaha’, which was recently inducted, is the Ship (Auxiliary Barge) of which armed force?
The Indian Coast Guard Ship (Auxiliary Barge) named Urja Pravaha has been inducted into the Indian Coast Guard at Gujarat’s Bharuch.
It will be under the operational command of Coast Guard District Headquarters4 (Kerala and Mahe), in addition to auxiliary barge Urja Shrota, which was based here since 2017. The ship is 36 meters long and is designed to carry Cargo Ship Fuel, Aviation Fuel and Fresh Water.
Kuril Islands, which was seen in the news, is claimed by which countries?
Ever since the Soviet Union conquered the Kuril Islands in 1945, the ownership has been challenged by Japan.
In the latest version of the 2022 Diplomatic Bluebook, which was published by the Japanese Ministry of Foreign Affairs, the Northern Territories are “islands over which Japan has sovereignty, but now are illegally occupied by Russia.”
‘Digital India RISCV Microprocessor (DIRV) Program’ aims to create Microprocessors and achieve Silicon and Design wins by which year?
The Ministry of Electronics and IT launched the ‘Digital India RISCV Microprocessor (DIRV)’ program. It aims to enable creation of Microprocessors and achieve industrygrade Silicon and Design wins by December 2023.
It also set milestones for commercial silicon of SHAKTI & VEGA and their design wins by December 2023. DIRV will see partnerships with Startups, Academia and Multinationals to make India, a RISCV Talent Hub for the World as well as supplier of RISCV SoC (System on Chips) for Servers, Mobile devices, Automotive, IoT & Microcontrollers.
India’s first pure green hydrogen plant has been commissioned in which state?
The Oil India Limited (OIL) commissioned India’s first 99.999 percent pure green hydrogen plant in the state of Assam.
OIL, the second largest national production and exploration firm commissioned the green hydrogen plant at its Jorhat Pump Station. The plant has an installed capacity of producing 10 kg of hydrogen each day. It is also India’s first plant to use AEM (anion exchange membrane).
Which is the first vaccine to be granted emergency use authorisation in India, for children in 5 to 12 years age group?
Expert panel of Drug Controller General of India (DCGI) has recommended granting emergency use authorisation for Corbevax for children in 5 to 12 years age group.
Developed by Hyderabadbased firm BiologicalE, Corbevax is India’s first indigenously developed RBD protein subunit vaccine against Covid19. At present, Corbevax is being given to children between 12 and 14 years. Covaxin is being given to children in the age group of 1518 years.
Which billionaire has struck a deal to buy the Global microblogging platform Twitter?
The board of top microblogging company Twitter has agreed to a USD 44bn takeover offer from the billionaire Elon Musk.
Elon Musk is the world’s richest person, according to Forbes magazine, with an estimated net worth of USD 273.6bn. He runs the electric vehicle maker Tesla and the aerospace firm SpaceX.
Who are the beneficiaries of the ‘PM SVANidhi’ scheme?
The Cabinet Committee on Economic Affairs approved the continuation of the Prime Minister Street Vendor’s AtmaNirbhar Nidhi (PM SVANidhi) scheme till December 2024.
Through the scheme, affordable collateralfree loans are given to street vendors. The scheme aimed to facilitate loans for an amount of Rs 5,000 crore while the recent approval has increased the loan amount to Rs 8,100 crore.
Which is the venue of the ‘Khelo India University Games 2021’, being held in AprilMay 2022?
The ‘Khelo India University Games 2021’ is being hosted in Bengaluru from 24 April 2022 to 3 May 2022.
Over 4,500 participants from 190 universities across the country are competing with each other at the Khelo India University Games. The athletes will participate across 20 different sports including indigenous sports like Mallakhamba and yogasana during the event.
The Earth Day is celebrated annually on April 22, to sensitise people to protect the environment, restore damaged ecosystems and live a more sustainable life.
Earth Day has been celebrated since 1970. It was first observed in the United States, when over 20 million people protested against the 1969 Santa Barbara oil spill. In 2009, the United Nations designated April 22 as ‘International Mother Earth Day’. This year, the theme is ‘Invest In Our Planet’.
Two boys, who study in a school, start walking to their homes from their school at 1 pm. The first boy, whose home is 5 km away from the school walks at a speed of 5 km/hr and the second boy whose home is 8 km away from the school walks at a speed of 6 km/hr. If their homes are in directly opposite directions, what will be the distance between the two boys at 2:10 pm?
At the beginning, both the boys walk away from each other. After one hour, first boy reaches home and his distance from school is 5 km. This distance does not change after 2 pm.
The second boy walks at the speed of 6 km per hour for the entire 1 hour 10 min.
Distance covered by second boy in 1 hour 10 min = 7 km.
So, Total distance between the boys at 2:10 pm = 7 + 5 = 12 km.
Lakshman went 15 km to the west from his house, then turned left and walked 20 km. He then turned East and walked 25 km and finally turning left covered 20 km. How far is he now from his house?
Points A and E show the starting and end position respectively of Lakshman. It is clear that E is 10 km away from A.
A class contains N students, having roll numbers 1,2,3....N. On a particular day only 50 students turn up for the class. The average of the roll numbers of the students present on that day is 38. A teacher punishes two students and sends them out of the class. The average of the roll numbers of the students who are left in the class drops to 37.5. Choose the correct statement from the options given below.
Total of 50 roll numbers= 50 × 38 = 1900
Total of 48 roll numbers = 37.5 × 48 = 1800
Sum of the roll numbers of the students who have been sent out = 1900 – 1800 = 100.
A car is stolen at 2.30 pm and the thief runs away with the car driving at a speed of 60 km/hr. The owner discovers about the theft at 3 pm. He sets off in another car at a speed of 75 km/hr. If the owner drives on the correct path directly behind the thief, he would be able to catch the thief at:
Assume that the thief is overtaken x hrs after 2.30 pm
When the car is overtaken, the distance covered by the owner and the thief is the same.
Distance covered by the thief in x hrs = distance covered by the owner in (x0.5)hr
So, 60x = 75 (x 0.5)
Or x = 2.5 hr
Thief is caught at 2.30 pm + 2.5 hr = 5 pm
Five years ago, the average age of a family, which consisted of three members, was 27 years. The family now consists of four members as a baby was born recently. The current average age of the family is 25 years. How many years ago was the baby born?
Average age of the family 5 years ago (3 members) = 27 years
Sum of the ages of the 3 older members now= (27 + 5) × 3 = 96 years
Average age of the family now (4 members) = 25 years
Sum of the ages of the 4 numbers of the family now = 25 ×4 = 100 years
So, Age of child = 100 – 96 = 4 years
In a group of 20 children, two children have hundred marbles each and three do not possess any marbles. The average number of marbles with the rest of the children is 40. What is the average number of marbles with the group of children?
Total number of marbles with the children = (100 × 2) + (40 × 15) + (3 × 0) = 800.
Average number of marbles with the children = Total number of marbles/Total number of children = 800/20 = 40
If = stands for ÷; + stands for ;  stands for +; × stands for =; ÷ stands for ×; which of the following is true?
Substituting the signs equation 1 becomes: 8 × 4 + 1 ÷ 1  1 = 32, which is correct.
Raj travelled from a point X straight to Y at a distance of 80 metres He turned right and walked 50 metres then again turned right and walked 70 metres Finally he turned right and walked 50 metres How far is he from the starting point ____________.
The movements of Raj are as shown in fig (X to Y, Y to A, A to B, B to C)
∴ Raj's distance from the starting point
= XC = (XY  YC) = (XY  BA)
= (80  70) m = 10 m.
The table represent the percentage expenditure of the income of A, B, C, D, E and F on different items.
If the annual income of B and C are ₹2,16,000 and ₹2,64,000 respectively, what is the difference between the amount spent by them on transport?
= Difference = 48,816 – 39,072= ₹9,744
In the Venn diagram given below, what is the total number of singers who are only painters or only dancers but not both painter as well as dancer.
Singers who are dancers but no painters = d
Singers who are painters but not dancers = e
So, the total number of singers who are only painters or only dancers but not both painter as well as dancer = d + e
10% of α is 5 times 20% of β
Or
(10/100) α = 5 × (20/100) β
Or
0.1α = 5 × 0.2 β
Or β/ α =1/10
At what time between 5 o'clock and 6 o'clock, both the needles of a clock will coincide each other?
At 5 o' clock, the hands are 25minute spaces apart.
Hence minute hand needs to gain 25 moreminute spaces over the hour hand so that the hands will coincide each other.
In 60 minutes, minute hand gains 55minute spaces over the hour hand.
Hence, time taken for gaining 25minute spaces by minute hand
300/11 minutes
Hence hands will coincide at minute past 5.
A, B and C have a few coins with them. 7 times the number of coins that A has is equal to 5 times the number of coins B has while 8 times the number of coins B has is equal to 13 times the number of coins C has. What is the minimum number of coins with A, B and C put together?
So, final ratio of [A:B:C :: (5 x 13) : (7 x 13) : (8 x 7)]
minimum number of coins is equal to sum of their ratio = (65 + 91 + 56) = 212
A room is 15m 25 cm long and 9m 25 cm wide. The room has to be tiled using square tiles of side 41 cm. If no tile has to be cut and maximum area possible is covered, how many tiles can be placed in the room?
1525/41 = 37.2
Along the length, 37 tiles can be placed without cutting any tile. 925/41 = 22.5
Along the breadth, 22 tiles can be placed without breaking any tile.
(After placing all these tiles some area will remain uncovered)
Maximum number of tiles that can be used = 37 × 22 = 814.
In a competitive examination, one mark is awarded for each correct answer while 1/2 mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?
Let x be the number of correct answers and y be the number of wrong answers.
Since Jayanti answered 120 questions therefore, x + y = 120 that is x = 120 − y..........(1)
Also, it is given that one mark is awarded for each correct answer while 1/2 mark is deducted for every wrong answer and Jayanti got 90 marks, therefore, x − 0.5y = 90..........(2)
Substituting the value of equation 1 in equation 2:
120 − y − 0.5y = 90
−1.5y = −30
y = 20
Therefore, x = 120 − 20 = 100
Hence, she answered 100 questions correctly.
Consider the following statements;
P + Q means P is brother of Q
P – Q means P is sister of Q
P × Q means P is husband of Q
P ÷ Q means P is wife of Q
Q. Then which of the following means C is sisterinlaw of A?
C is sisterinlaw of A means C is her husband’s sister therefore only option (d) satisfy all these conditions.
The data charges of Airtel is Rs. 90 per day. The corresponding charges of Idea are 10% lower than that of Airtel. A person uses Airtel for the first fortnight of a month and Idea for the second fortnight. Had he used Idea for the whole of the month, what percentage of his expenses on data for that month would he had saved (approximately)?
Charge for Airtel for 15 days = 15 × 90 = Rs 1350
Charge for Idea for 15 days = 1350 – 10% of 1350 = 1350135 = Rs 1215
Total monthly expense on data = 1350 + 1215 = Rs 2565
Required percentage = (135/2565) × 100 = 5.2 % (approx)
An old lady spent one twelfth of her life as a child and one seventh was spent as a teenager. One sixth of her life was spent between the time she became an adult and the time she married. Three years after marriage her daughter was born and the daughter died six years before she died. She lived to be twice as old as her daughter did.
How long did the lady’s daughter live?
Age spent as child = X/12
Age spent as a teenager = X/7
Age spent between adulthood and marriage = X/6
Age of daughter = X – (X/12 + X/7 + X/6 + 3 + 6) = X  33X/84 – 9 = 51X/84 – 9
Now, 2(51X/84 – 9) = X
Or 18X/84 = 18
Or X = 84.
Age of daughter = X/2 = 42 years
A man purchases two chairs A and B at total cost of Rs. 5,000. He sells A with 25% profit and B with 16.66% loss and get the same selling price for both the chairs. What are the purchasing price of A and B respectively?
Let the cost price of A and B be “a” and (5,000  a) respectively.
Selling price of A = Selling price of B
So, purchasing price of A and B are a = Rs.2000 and (5000a) = Rs. 3000
Price of diamond is directly proportional to square of its weight. A person broke down diamond in the ratio 5. 2. 7 and faces a loss of Rs 11800. Find initial price of diamond?
Let the weight of the three pieces of the broken diamond = 5 gm, 2 gm and 7 gm respectively,
Then, weight of diamond before breaking = 14gm
Let cost of 1gm of diamond = Rs. ‘x’, Then, cost of diamond before breaking = Rs. (14)2x = Rs. 196x,
⇒ Cost of diamond after breaking = (52 + 22 + 72) x = 78x
⇒ Decrease in cost = 196x – 78x
According to the question:
⇒ 118x = 11800
⇒ x = 100.
Hence, initial price of diamond piece = 196x = 196 × 100 = 19600
In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enrol for either of the two subjects?
We know that (A ∪ B) = A + B  (A ∩ B), where (A ∪ B) represents the set of people who have enrolled for at least one of the two subjects Math or Economics and (A ∩ B) represents the set of people who have enrolled for both the subjects Math and Economics.
(A ∪ B) = A + B  (A ∩ B)
⇒ (A ∪ B) = 40% + 70%  15% = 95%
That is 95% of the students have enrolled for at least one of the two subjects Math or Economics.
Therefore, the balance (100  95) % = 5% of the students have not enrolled for either of the two subjects.
One day, Ravi left home and cycled 20 Km southwards, turned right and cycled 10 km and turned right and cycled 20 Km and turned left and cycled 20 Km. How many kilometres will he have to cycle to reach his home straight?
Ravi starts from home at A, moves 20 Km in south to B. Then he turns right and moves 10 Km to C, then he turns right and moves 20 Km to D, then he turns lefts and moves 20 Km to E.
So, from image it is clear that, if he moves straight then he will have to move AD+DE, AD = BC = 10 Km.
So, he will have to move 10 + 20 = 30 Km.
Consider the figure given below:
The figure represents the relationship between which of the following sets correctly?
Option (a): Tea and Coffee both are subset of beverages. Picture does not represent it.
Option (b): Authors and Teachers may be men or women. So, both will have a common part with men. The picture given does not represent it.
Option (c): Boys, students and athletes will have boys as common. The picture given does not represent it.
Option (d): Sparrows are a subset of birds and mice have nothing in common with birds. The picture represents the same.
The permutations of the word CLOCK are arranged alphabetically. Which of the following permutations will come first?
The first permutation will have all the alphabets arranged in ascending order. In this order CCKLO comes first.
A earns 20% more than B. C earns 25% more than A. A earns 20% more than D. E earns 10% more than A. A, B, C, D, and E earn integer amounts less than Rs.100. What is the total amount earned by all five of them put together?
Let the earnings be A, B, C, D, E.
From given conditions,
B = 5/6 A, C = 5/4 A, D = 5/6 A and E = 11/10 A
Taking LCM, A= 60.
Now, E = 60, B = 50, C = 75, D = 50 and E = 66
Adding A + B + C + D + E = 60 + 50 + 75 + 50 + 66 = 301.
Total amount earned by all 5 is 301 Rs.
In a row of students, Raman is standing in fifth position from either end. Choose the statement that is correct regarding the students.
Ram is fifth from both ends. Clearly, there are 9 students in the row.
9 students may be rearranged into 3 rows of 3 students each.
A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?
Initially A, B and C have 3x, 4x and 5x respectively.
B gives 400 to C now ratio is 5: 6: 9
So, 4x – 400 = 6y and 5x + 400 = 9y
x = (5/3) y and y = 600.
So, final amount of A, B and C are 3000, 3600, 5400
Initial amount = 3000, 4000, 5000. Therefore, total sum = (3000 + 4000 + 5000) =12000
If x $ y = (x + y + xy 1) (x + y + xy + , then the value of (4 $ 5) is.
As per the definition of $, (4 $ 5) would be (4 + 5 + 4 × 5  1) (4 + 5 + 4 × 5 + 1) = 840. So,
answer is (b)
The diagonal of a rectangle is V21 cm and its area is 50 sq. cm. What is the perimeter of the rectangle?
For a rectangle, d^{2} = l^{2} + b^{2}
where l= length, b = breadth and d = diagonal of the of the rectangle
d = √21
d^{2} = l^{2} + b^{2}
(l^{2} + b^{2} = 21) (1)
Area = l x b = 50 (2)
[(a + b)^{2} = a^{2} + b^{2} + lab]
Using the above formula, we have
(l + b)^{2} = l^{2} + b^{2} + 2lb
(l + b)^{2} = 21 + 2 x 50 [from (1) and (2)]
(l + b)^{2} = 121
(l + b) = 11
Perimeter of rectangle = 2(l + b)
= 2(11) = 22 cm
A, B and C have 40, x and y balls with them respectively. If B gives 20 balls to A, he is left with half as many balls as C. If together they had 60 more balls, each of them would have had 100 balls on an average. What is the ratio of x to y?
Given, (40 + x + y + 60)/3 = 100
x + y = 200 ………… (eq.1)
x – 20 = y/2 2x – y = 40 …………. (eq.2)
Solving 1 and 2 We get x = 80, y = 120. Ratio of x: y = 2: 3
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