General Tests: Mock Test - 2

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 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 pro-Beijing members.
Lee, who was formerly Hong Kong’s Chief Secretary, will begin his five-year 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.

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 94-year-old 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.

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.

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.’

South Korea’s new President Yoon Suk-yeol 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 Geun-hye for abuse of power. He gained public attention after his investigations into some of the country’s high-profile corruption scandals.

Minister for Housing and Urban Affairs Hardeep S Puri launched the BHARAT TAP initiative at the ‘Plumbex India’ exhibition.
BHARAT TAP initiative will provide low-flow, sanitary-ware 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.

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 October-December 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 year-ago. In the July-September 2021, it was 9.8 per cent in urban areas.

The United States has launched “Affordable Connectivity Program” to provide subsidies on internet service to lower-income 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.

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.

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 Delhi-Ghaziabad-Meerut RRTS Phase 1. India’s first semi high-speed regional train can move passengers at 180 km/hour.

Tamil Nadu has become the first state in the country to offer breakfast in government schools, along with the mid-day 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.

India has been unanimously elected as the new Chair of the Association of Asian Election Authorities (AAEA) for 2022-2024.
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.

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.

Mukesh Ambani’s Reliance Industries Ltd first became the first Indian company to cross USD 100 billion annual revenue.
For the fiscal 2021-22, 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.

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.

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, thang-ta, kalarippayattu, mallakhamb and yogasana have been introduced for the first time in Khelo India Youth Games.

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.

The Hungarian Parliament has elected Katalin Novak as the country’s first-ever female president. The 44-year-old Minister is also Hungary’s youngest-ever 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.

India’s biggest-ever 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, non-institutional 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.

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 2022-23. 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 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 45-50 billion over five years and generate over one million jobs in India.

India recently celebrated the 59th National Maritime Day which falls on April 5 every year. This year’s theme is ‘Sustainable Shipping beyond Covid-19’.
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.

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.

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.

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 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 one-horned 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 one-horned rhinos is 2,613.

‘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 the state of Rajasthan. Rajasthan Tourism Department organised the festival after two years gap due to the Covid-19 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.

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.

• 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

• 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 (x-6) men. (M2)

Now using the above formula, we get

⇒ x * 18 = (x-6) * 20

⇒ 18x = 20x -120

⇒ 120= 20x-18x

⇒ 120 = 2x

⇒ x=60

Therefore, the original number of men in the group is 60 men.

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

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.

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)/(x-y).

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)/(x-y) days to complete the same piece of work.

By substituting the given values in formula, his so will take (5 * 3)/(5-3) = 15/2 = 7.5 days.

• 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

Daily Earning of A+B+C = Rs 300

1. Daily Earning of A and C together = A + C = Rs 188 ... (1)

2. 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.

• 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)'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

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)

= (16-15)/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

• 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.

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

• 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 = (10-4) = 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.

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.

Speed = (45*5/18)m/sec = 25/2 m/sec.

Required time =(171+229)/(25/2) sec.

= (400*2/25)sec. =32 sec.

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

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 = (27-9) km = 18 km

Required speed = 18/ (3/2) km/hr = (18*2/3) km/hr = 12 km/hr

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

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

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.

Total matches played = 25

Matches won = 17

Therefore, Matches lost = 25 - 17 = 8

Required Ratio = Matches won : Matches lost = 17 : 8

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

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)

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

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%

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.

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

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

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

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