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General Tests: Mock Test - 3


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60 Questions MCQ Test General Test Preparation for CUET | General Tests: Mock Test - 3

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General Tests: Mock Test - 3 - Question 1

The Unified Payments Interface (UPI) system crossed which milestone in terms of volume?

Detailed Solution for General Tests: Mock Test - 3 - Question 1

As per the data from the National Payments Corporation of India (NPCI), the Unified Payments Interface (UPI) crossed the 500-crore mark in terms of volume.
In March this year, UPI was close to touching the ₹10-lakh crore milestone in value terms in March this year. There were around 315 banks live on the UPI platform by March this year.

General Tests: Mock Test - 3 - Question 2

Who has been appointed as the new Foreign Secretary of India?

Detailed Solution for General Tests: Mock Test - 3 - Question 2

The Indian government appointed senior Indian Foreign Service officer Vinay Mohan Kwatra as the new Foreign Secretary.
The 1988-batch IFS officer is currently serving as Ambassador in Kathmandu since January 2020. He worked in Prime Minister’s Office from 2015 to 2017 and had served as India’s ambassador to France. Vinay Kwatra will replace the incumbent Foreign Secretary Harsh Vardhan Shringla.

General Tests: Mock Test - 3 - Question 3

Which city hosted the ‘Global Collaboration Advanced Vaccinology Training’ Meeting?

Detailed Solution for General Tests: Mock Test - 3 - Question 3

‘Global Collaboration Advanced Vaccinology Training’ meeting was recently held in Geneva. In the meeting, the need for a basic vaccinology training module for healthcare personnel across the world was discussed.
India was represented by Dr N.K. Arora, head of the Covid-19 working group in the National Immunization Technical Advisory Group (NTAGI). The Group makes vaccine recommendations on the basis of disease burden, efficacy and cost effectiveness.

General Tests: Mock Test - 3 - Question 4

Which institution releases the ‘State of World Population Report’?

Detailed Solution for General Tests: Mock Test - 3 - Question 4

United Nations Population Fund (UNFPA) recently released the ‘State of World Population: Seeing the Unseen: The case for action in the neglected crisis of unintended pregnancy’ Report.
As per the report, nearly half of all pregnancies, totalling 121 million each year throughout the world, are unintended. Globally, an estimated 257 million women who want to avoid pregnancy are not using safe and modern methods of contraception.

General Tests: Mock Test - 3 - Question 5

Which Indian billionaire topped the ‘Hurun Richest Self-Made Women in the World 2022’ in the country?

Detailed Solution for General Tests: Mock Test - 3 - Question 5

As per the ‘Hurun Richest Self-Made Women in the World 2022’, there are 124 self-made women billionaires in the world now, down 6 from last year.
Three Indian women – Falguni Nayar of Nykaa, Kiran Mazumdar-Shaw of Biocon and Radha Vembu of Zoho feature in the latest Hurun list of women self-made billionaires. Falguni Nayar overtook long-time India’s number one woman billionaire Kiran Mazumdar-Shaw to become the richest self-made woman in India.

General Tests: Mock Test - 3 - Question 6

‘Prakriti’, which was recently launched, is mascot to create awareness on which field?

Detailed Solution for General Tests: Mock Test - 3 - Question 6

Union Environment Minister Bhupender Yadav launched “Prakriti”, mascot that spreads awareness about small changes in life that can curb plastic pollution.
It also highlights various green initiatives taken by Ministry of Environment, Forest & Climate Change and Central Pollution Control Board (CPCB) to ensure effective Plastic Waste Management (PWM) in the country.

General Tests: Mock Test - 3 - Question 7

Which institution launched the digital platform ‘Fast and Secured Transmission of Electronic Records’ (FASTER)?

Detailed Solution for General Tests: Mock Test - 3 - Question 7

The Chief Justice of India N.V. Ramana launched digital platform ‘Fast and Secured Transmission of Electronic Records’ (FASTER).
The platform would be used by the court officials to instantly to send e-copies of the orders to intended parties, through a secured electronic communication channel. It covers all types of orders of the court.

General Tests: Mock Test - 3 - Question 8

Which Indian state signed a pact with WWF India to develop State Biodiversity Strategy and Action Plan (SBSAP)?

Detailed Solution for General Tests: Mock Test - 3 - Question 8

Arunachal Pradesh signed a pact with WWF India to develop the State Biodiversity Strategy and Action Plan (SBSAP).
The SBSAP will be aligned with the post-2020 Global Biodiversity Framework and Pakke Declaration. The state cabinet adopted the ‘Pakke Tiger Reserve 2047 Declaration on Climate Change Resilient and Responsive Arunachal Pradesh’, last year.

General Tests: Mock Test - 3 - Question 9

As per the update of World Health Organization’s air quality database, what percentage of the world breathes unhealthy air?

Detailed Solution for General Tests: Mock Test - 3 - Question 9

The 2022 update of the World Health Organization’s air quality database highlights that 99 per cent of the world population breathes air that exceeds WHO air quality limits.
The update also introduces ground measurements of annual mean concentrations of nitrogen dioxide (NO2), which is a common urban pollutant. As of now, over 6,000 cities in 117 countries are monitoring air quality.

General Tests: Mock Test - 3 - Question 10

Which regulator body launched the ideathon named ‘Manthan’?

Detailed Solution for General Tests: Mock Test - 3 - Question 10

SEBI Chairperson Madhabi Puri Buch launched the ‘Manthan’, a six-week long ideathon, in association with various institutions including BSE, NSE, NSDL, CDSL, KFintech, CAMS, LinkInTime and MCX.
It will facilitate the creation of a set of ideas and innovative solutions related to the securities market in India.

General Tests: Mock Test - 3 - Question 11

What is the name of the website launched for services related to broadcast in India?

Detailed Solution for General Tests: Mock Test - 3 - Question 11

The government has launched a new broadcast services website to ensure faster filing and processing of applications for broadcast licenses, permissions and registrations.
The ‘Broadcast Seva Portal’ will help satellite TV channels, teleport operators, MSOs, community radio stations (CRS) and private FM channels. It is also used for tracking applications, calculating fees and making payments.

General Tests: Mock Test - 3 - Question 12

Which country has started a pilot project to produce ‘Green’ Steel by burning hydrogen?

Detailed Solution for General Tests: Mock Test - 3 - Question 12

Sweden has launched a pilot project to reduce the carbon emissions involved in steel production by switching some of that process from burning coking coal to burning hydrogen.
HYBRIT or Hydrogen Breakthrough Iron-making Technology – is a joint venture between steel giant SSAB, mining company LKAB and Swedish state-owned power firm Vattenfall. As per World Steel Association, every metric ton of steel produced emitted twice that much carbon dioxide.

General Tests: Mock Test - 3 - Question 13

Which country recently signed “Emmett Till Antilynching Act” into law?

Detailed Solution for General Tests: Mock Test - 3 - Question 13

US President Joe Biden signed the “Emmett Till Anti-lynching Act” into law, as he made lynching a federal hate crime.
As many as 4,743 persons were lynched between 1882 and 1968, with 3,446 of them being Black. This act was named after the murder of a 14-year-old Black boy from Chicago by a group of White men in Mississippi in 1955 as he was alleged to have whistled at a White woman.

General Tests: Mock Test - 3 - Question 14

Viktor Orban has been elected as the Prime Minister of which country?

Detailed Solution for General Tests: Mock Test - 3 - Question 14

Viktor Orban, Hungary’s nationalist Prime Minister has been elected again for the successive fourth term.
The 58-year old pro-Putin leader has been heading the country since 2010. He is also the country’s longest-serving leader since the fall of communism in 1989. In the latest elections, his Fidesz party was set to contril135 seats of the 199-seat Parliament.

General Tests: Mock Test - 3 - Question 15

The Blue Nile River, which was seen in the news, originates in which country?

Detailed Solution for General Tests: Mock Test - 3 - Question 15

The Blue Nile, a subsidiary of the Nile River originates at Lake Tana in Ethiopia and travels through Ethiopia and Sudan.
A shipwreck on the Blue Nile River happened in Sudan’s Sennar province has killed 23 people, all of them female. The Blue Nile is an important transport route for people and goods in the African nations.

General Tests: Mock Test - 3 - Question 16

Who is the chairperson of the advisory committee to guide the Semiconductor mission?

Detailed Solution for General Tests: Mock Test - 3 - Question 16

The Ministry of Electronics and Information Technology formed a 17 member advisory committee to guide the Rs 76,000 crore-Semiconductor Mission.
The Minister of Electronics and Information Technology Ashwini Vaishnaw will be the Chairperson of the committee. NITI Aayog member V K Saraswat, Principal Scientific Advisor, and Secretaries from the Ministry of External affairs, Departments of expenditure, economic affairs, and promotion of industry and internal trade, will be members of the committee.

General Tests: Mock Test - 3 - Question 17

As per RBI’s recent notification, Card-less cash withdrawal is proposed through which platform?

Detailed Solution for General Tests: Mock Test - 3 - Question 17

As per RBI, Card-less cash withdrawal, which was offered only by a few banks, will now be made available across all banks and ATMs via the Unified Payments Interface (UPI).
UPI will be used for customer authorisation and this step is expected to enhance ease of transactions and eliminate frauds.

General Tests: Mock Test - 3 - Question 18

As per WTO, what is the estimated global trade growth in the 2022-23 fiscal year?

Detailed Solution for General Tests: Mock Test - 3 - Question 18

The World Trade Organization (WTO) revised down its forecast for global trade growth in 2022-23 to 3% from 4.7%.
The slash is because of the impact of the Russia-Ukraine war. WTO also warned of a potential food crisis caused by surging prices. It also forecasted that the global trade growth in 2023 would rise up to 3.4%.

General Tests: Mock Test - 3 - Question 19

Which is the first state/UT has to include  e-Cycles in its Electric Vehicle (EV) Policy?

Detailed Solution for General Tests: Mock Test - 3 - Question 19

The Delhi government included electric cycles under its Electric Vehicle (EV) Policy and announced that it will offer a subsidy of 5,500 each to the first 10,000 buyers.
This will include both passenger and cargo e-cycles with a speed of less than 25 km/hour. The first 10,000 buyers will get 25 per cent of the purchase incentive on buying the e-cycle.

General Tests: Mock Test - 3 - Question 20

Which city is the host of the fourth India-US 2+2 Ministerial Dialogue?

Detailed Solution for General Tests: Mock Test - 3 - Question 20

Defence Minister Rajnath Singh arrived in Washington DC as part of his five-day US visit which includes the India-US 2+2 Ministerial Dialogue.
2+2 dialogue involves meetings between Defence Minister Rajnath Singh, External Affairs Minister (EAM) S Jaishankar and their respective American counterparts. Ahead of the 2+2 dialogue between India and the US, Prime Minister Narendra Modi held a virtual meeting with US President Joe Biden.

General Tests: Mock Test - 3 - Question 21

What is the total amount of revenues and investments mobilised from asset monetisation in FY22 in India?

Detailed Solution for General Tests: Mock Test - 3 - Question 21

The Centre’s asset monetisation drive mopped up 12% more than the target set for FY22, due to the strong performance of the coal and mineral blocks, highway stretches and power transmission lines.
In aggregate, revenues and investments mobilised from asset monetisation in 2021-22 stood at 96,000 crore, which will go up by at least 4,000 crore. The monetisation target was 88,200 crore for FY22, the first year of the 6-trillion four-year National Monetisation Pipeline (NMP)

General Tests: Mock Test - 3 - Question 22

‘Exo-planet K2-2016-BLG-0005Lb’, which has been recently found, is a near-identical twin of which planet?

Detailed Solution for General Tests: Mock Test - 3 - Question 22

Astronomers have recently found a near-identical twin of Jupiter which is located at a similar distance from its star as Jupiter is from our Sun.
Named K2-2016-BLG-0005Lb, the exo-planet located 17,000 light-years from Earth, has been detected by a team of astrophysicists using data obtained by NASA’s Kepler space telescope. Scientists used Albert Einstein’s Theory of Relativity and a method known as gravitational micro-lensing to spot this object.

General Tests: Mock Test - 3 - Question 23

‘Madhavpur Mela’ is a cultural fair celebrated n which state?

Detailed Solution for General Tests: Mock Test - 3 - Question 23

President Ramnath Kovind inaugurated the annual Madhavpur Mela, the five-day cultural fair, in the coastal village of Madhavpur in Gujarat.
The fair celebrates the marriage of Hindu deity Lord Krishna with Rukmini. Similar events are being organised across Gujarat and in eight Northeast states. From 2018, in association with the Union Ministry of Culture, the Gujarat government started organising events during the fair.

General Tests: Mock Test - 3 - Question 24

India has decided to establish ‘Education and Skills Development Working Group’ with which country?

Detailed Solution for General Tests: Mock Test - 3 - Question 24

India and the US have decided to establish a new ‘India-US Education and Skills Development Working Group’.
It aims to further strengthen cooperation in the field of education and skill development through joint collaborations. The Group also promote student and scholar mobility to build people-to-people linkages. It is issued a part of the joint statement issued after the fourth India-US 2+2 Ministerial Dialogue.

General Tests: Mock Test - 3 - Question 25

As per the recent study of CEEW, which state had the highest number of forest fire incidences in the last two decades?

Detailed Solution for General Tests: Mock Test - 3 - Question 25

According to a study released by the Council on Energy, Environment and Water (CEEW), the frequency and intensity of forest fires have increased in the past two decades.
The study, ‘Managing Forest Fires in a Changing Climate’, found that there has been a ten-fold increase in forest fires in the past two decades. More than 62 per cent of Indian states are prone to high-intensity forest fires. Mizoram had the highest number of forest fires in the last two decades, with more than 95 per cent of its districts being forest fire hotspots.

General Tests: Mock Test - 3 - Question 26

Who has been elected as the 23rd Prime Minister of Pakistan, after the no-confidence motion?

Detailed Solution for General Tests: Mock Test - 3 - Question 26

Pakistan Muslim League (N) Leader Shehbaz Sharif was sworn-in as the new Prime Minister of Pakistan, after a no-confidence motion was introduced against his predecessor Imran Khan.
Sharif was elected unopposed after rival candidate Shah Mahmood Qureshi announced that his party will boycott the voting and staged a walkout. Shehbaz, the younger brother of former three-time Prime Minister Nawaz Sharif, was elected as the country’s 23rd Prime Minister.

General Tests: Mock Test - 3 - Question 27

“Svanidhi se Samriddhi” programme is an initiative of which Union Ministry?

Detailed Solution for General Tests: Mock Test - 3 - Question 27

The Union Ministry of Housing and Urban Affairs (MoHUA) launched the “Svanidhi se Samriddhi” programme in 126 additional cities across 14 states and Union territories.
“Svanidhi se Samriddhi”, an additional programme of PM Svanidhi, was launched last year in 125 cities under the first phase, covering around 35 lakh street vendors and their families. PM Svanidhi aims at providing an affordable working capital loan to street vendors.

General Tests: Mock Test - 3 - Question 28

As per the Asian Development Outlook (ADO) 2022, what is the estimated growth rate of India in 2023-24?

Detailed Solution for General Tests: Mock Test - 3 - Question 28

Manila-based Asian Development Bank recently released its flagship Asian Development Outlook (ADO) 2022.
It projected South Asia’s largest economy India to grow by 7.5 per cent in the current fiscal year (2022-23) and by eight per cent the next year (2023-24). It also estimated a seven per cent collective growth for South Asian economies in 2022. South Asia comprises Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan, and Sri Lanka.

General Tests: Mock Test - 3 - Question 29

What is the real Gross Domestic Product (GDP) growth projection for 2022-23, as per RBI’s Monetary Policy April 2022?

Detailed Solution for General Tests: Mock Test - 3 - Question 29

The Reserve Bank of India (RBI) maintained an accommodative stance and cut the real Gross Domestic Product (GDP) growth projection for the 2022-23 to 7.2 per cent, against the earlier projection of 7.8 per cent.
The inflation forecast has also been hiked from 4.5 per cent to 5.7 per cent for the FY 2022-23. The reasons are excessive volatility in global crude oil prices and extreme uncertainty over the evolving geopolitical tensions.

General Tests: Mock Test - 3 - Question 30

Which state topped the NITI Aayog’s State Energy and Cli­m­ate Index-(SECI) Round 1?

Detailed Solution for General Tests: Mock Test - 3 - Question 30

Gujarat has topped NITI Aayog State Energy and Climate Index-(SECI) Round 1 among larger states. It is followed by Kerala and Punjab. Among the smaller states, Goa topped the index.
The index ranks the states and union territories on six parameters — discoms performance, access affordability and reliability of energy, clean energy initiatives, energy efficie­ncy, environmental sustainability and new initiatives.

General Tests: Mock Test - 3 - Question 31

A man buys an article for 20% less than its value and sells it for 20 % more than its value. What is his gain in percentage?

Detailed Solution for General Tests: Mock Test - 3 - Question 31

Unconventional Method:

Let's assume actual value of article is Rs. 100.

Therefore, buying price is 100-20 = Rs. 80 (As man bought with 20% less than actual value). Selling price of article is 100 + 20 = Rs. 120 (As man sold with 20% more than actual value). Therefore, gain in percentage = [(120-80)/80] * 100 (40/80) * 100 = 50 %

Hence, option (a) is correct

Formula Method:

Let the original price of the article be 'x'.

Buying price will be (80/100)x = 0.8x.

Selling price will be (120/100)x = 1.2x Therefore, gain in percentage =(profit/buying price) * 100 [(1.2x-0.8x)/0.8 x]* 100 0.5x * 100 = 50 %

General Tests: Mock Test - 3 - Question 32

A and B invested in a business. They earned some profit which they divided in the ratio of 2 . 3. If 'A' invested Rs. 40,000, what is the amount invested by B?

Detailed Solution for General Tests: Mock Test - 3 - Question 32

Since profit is divided among A and B is 2:3, their investment also remains in the same ratio 2:3.

Let amount invested by B be x.

Then, 40000/x = 2/3 Or x= 60000

General Tests: Mock Test - 3 - Question 33

The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, What is its purchase price?

Detailed Solution for General Tests: Mock Test - 3 - Question 33

Purchase price = Rs ( 8748/(1- 10/100)3

= Rs. [8748 * (10/9) * (10/9 )* (10/9)]

= Rs.12000

General Tests: Mock Test - 3 - Question 34

Ramya invested an amount of Rs.60000 to start a business . After 8 months, Bharathi joined her with an amount of Rs .30000. They earned profit Rs. 24500 after one year. What is Bharathi profit ?

Detailed Solution for General Tests: Mock Test - 3 - Question 34

Ratio of capital invested by each partner.

i.e Ramya and Bharathi for one year in order to get same profit.

Ramya invested for 12 months whereas Bharathi invested for 4 months. Therefore,

= 12 * 60000 : 4 * 30000 = 720000 : 120000 = 6 : 1

Share of Bharathi out of Rs .24500 = 1/7 * 24500 = Rs. 3500

General Tests: Mock Test - 3 - Question 35

One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?

Detailed Solution for General Tests: Mock Test - 3 - Question 35

Let the given number be : x

It is given that x/2 - x/3 = 6

Or x/6 =6 or x =36

Therefore, sum of the digits 3+6 = 9

General Tests: Mock Test - 3 - Question 36

If Q means 'add to', J means 'multiply by', T means 'subtract from' and K means 'divide by' then 40 K 4 Q 5 J 2 T 6 =?

Detailed Solution for General Tests: Mock Test - 3 - Question 36

Using Correct Symbols, we have

Given expression = 40 / 4 + 5 x 2 - 6 = 10 + 10 - 6 = 14

General Tests: Mock Test - 3 - Question 37

Excluding stoppages, the speed of a train is 60 km/h and including stoppages the speed of the train is 50 km/h. For how much time does the train stops per hour?

Detailed Solution for General Tests: Mock Test - 3 - Question 37

Due to stoppages, train covers 10 km less.

Time taken to cover 10 km

General Tests: Mock Test - 3 - Question 38

Consider two alloys A and B. 70 kg of alloy A is mixed with 90 kg of alloy B. A contains Aluminium and Gold in the ratio 3: 4, and B contains them in the ratio 4: 5 respectively. What is the ratio of Gold to Aluminium in the mixture?

Detailed Solution for General Tests: Mock Test - 3 - Question 38

In 70 kg of alloy A,

In 90 kg of alloy B,

General Tests: Mock Test - 3 - Question 39

The ratio of milk and water in a mixture of 24 liters is 1:1. How much water must be added to the mixture so that the ratio of milk and water be 1:2?

Detailed Solution for General Tests: Mock Test - 3 - Question 39

The quantity of milk in the original mixture

Quantity of water = 24-12= 12

Let quantity of water added = x

General Tests: Mock Test - 3 - Question 40

If 4 + 9 = 18, 5 + 8 = 20 and 5 + 6 = 15, then the value of 8 + 112=?

Detailed Solution for General Tests: Mock Test - 3 - Question 40

In the given question

So, we can easily notice the pattern that the numbers are multiplied and then divided by 2

General Tests: Mock Test - 3 - Question 41

In a test, Ram was asked to find 3/5 of a number. By mistake, he found 3/2 of it. His answer was 270 more than the correct answer. The given number is.

Detailed Solution for General Tests: Mock Test - 3 - Question 41

Let the given number = x

Then, the correct answer = ⅗ x

Ram’s answer = 3/2 x

General Tests: Mock Test - 3 - Question 42

The H.C.F of two numbers, each having three digits, is 19 and their L.C.M. is 3553. The sum of the numbers will be:

Detailed Solution for General Tests: Mock Test - 3 - Question 42

Let two numbers be 19x and 19y respectively, as 19 is the HCF of these numbers.

Now, LCM of 19x and 19y is 19xy and, according to the question LCM of these two numbers, =3553

⇒19xy =3553

Now we have two possible scenarios,

Either, x=17 and y=11 ---- (1)

Or, x=11 and y=17 ---- (2)

In the first scenario, where x=17 and y=11, numbers will be,

19x=19 × 17=323

19y=19 × 11=209.

Or, in the second case where x=11 and y=17, numbers will be 209 and 323.

Required sum would be =209+323 =532.

General Tests: Mock Test - 3 - Question 43

What is the remainder when 55 is divided by 8?

Detailed Solution for General Tests: Mock Test - 3 - Question 43

We know that 55= 5 × 52 × 52

The number immediately before 25 that is divisible by 8 is 24.

Hence, replace 25 with 24+1.

Then we have:

= 55 = 5(252) = 5(24 + 1)2 = 5(242 + 2 × 24 × 1 + 12)

= 5 × 242 + 5 × 2 × 24 + 5 × 1

Now,

Hence, the remainder is 5.

General Tests: Mock Test - 3 - Question 44

4 equidistant vertical lines are drawn on board 4 equidistant horizontal lines are also drawn on the board cutting the 4 vertical lines, and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?

Detailed Solution for General Tests: Mock Test - 3 - Question 44

Single square boxes.

Single square boxes along a horizontal row = 3

Single square boxes along a vertical row = 3

Number of single square boxes = 3 × 3 = 9

Case II: Double square boxes = double square box along horizontal X double square box along vertical = 2 × 2 = 4

Case III: Triple square boxes = 1 × 1 = 1

∴ Total number of squares = 9 + 4 + 1 = 14

General Tests: Mock Test - 3 - Question 45

How many different words can be formed with the letter of the word DELHI. If these words begin with D and ends with H?

Detailed Solution for General Tests: Mock Test - 3 - Question 45

There are 5 letter in the word DELHI of which all are each of its own kind.

So, after fixing D in the first place and H in the last place, we have 3 letters.

So, number of words can be formed = 3!

General Tests: Mock Test - 3 - Question 46

Present ages of Rajeev and Anand are in the ratio of 7: 10 respectively. Five years hence, the ratio of their ages will become 8: 11 respectively. If the Sum of the present age of Rajeev and Anand is ab. then, find what the unit digit of (ab) is?

Detailed Solution for General Tests: Mock Test - 3 - Question 46

Let the present ages of Rajeev and Anand be 7x and 10x years respectively.

Then,

⇒ 77x + 55 = 80x + 40

⇒ 3x = 15

⇒ x = 5

So, the present ages of Rajeev and Anand are (7 x 5)and (10 x 5) respectively.

The sum of their ages = (35 + 50) = 85 Hence, a = 8 and b = 5

Then, ab = 85

We know unit digit of 8 repeated after 4 powers. So, unit digit of 85 = unit digit of 81 ⇒ 8

General Tests: Mock Test - 3 - Question 47

A Salesman charges sales tax of x% upto Rs. 4,000 and above it he charges y%.
A customer pays total tax of Rs 400, when he purchases the goods worth Rs. 6,000 and he pay’s the total tax of Rs. 2200 for the goods worth Rs. 24,000. The value of x and y is:

Detailed Solution for General Tests: Mock Test - 3 - Question 47

When customer purchases the good of worth 6000 tax paid =

⇒ 2x + y = 20 ............... (i)

When customer purchases the good of worth 24000 tax paid =

⇒ x + 5y = 55.............. (ii)

From (i) and (ii)

x = 5 and y =10

General Tests: Mock Test - 3 - Question 48

A father is six times as old as his son and the mother is five times as old as the son. Let the age of son be "x" then the sum of the father's and the mother's age is [(x - 1)2 - 1] years. What is the age of the son?

Detailed Solution for General Tests: Mock Test - 3 - Question 48

Given, the age of son is “x”

So, the age of father’s and mother’s be 6x and 5x respectively.

So, according to the question,

= 5x + 6x = [(x - 1)2 - 1]

⇒ 11x = x2 + 1 - 2x - 1

⇒ x2 = 13x

⇒ x = 13

So, the age of the son is 13 years

General Tests: Mock Test - 3 - Question 49

Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.

Detailed Solution for General Tests: Mock Test - 3 - Question 49

Area of rectangle = Length x breadth (fixed)

General Tests: Mock Test - 3 - Question 50

If 4 + 9 = 18, 5 + 8 = 20 and 5 + 6 = 15, then the value of 8 + 112=?

Detailed Solution for General Tests: Mock Test - 3 - Question 50

In the given question

So, we can easily notice the pattern that the numbers are multiplied and then divided by 2

General Tests: Mock Test - 3 - Question 51

Correct the given equations by interchanging the two signs (10 - 14 ÷ 7 x 3 + 4 = 20)

Detailed Solution for General Tests: Mock Test - 3 - Question 51

Interchange of sign + and x makes the equation into 10 – 14 ÷ 7 + 3 x 4 = 10 - 2 + 3 × 4 = 20. Hence, option (b) is the correct answer.

General Tests: Mock Test - 3 - Question 52

a, b, c, d and e are five consecutive integers in increasing order of size. Which one of the following expressions is not odd?

Detailed Solution for General Tests: Mock Test - 3 - Question 52

Choice (A): ab+c

At least one of every two consecutive positive integers a and b must be even.

Hence, the product ab is an even number.

Now, if c is odd (which happens when a is odd), ab+c must be odd.

For example, If a=3, b=4, and c=5, then ab+c must equal 12 + 5 = 17, an odd number. Reject.

Choice (B): ab+d

We know that ab being the product of two consecutive numbers must be even. Hence, if d happens to be an odd number (it happens when b is odd), then the sum ab+d is also odd.

For example, If a=4, then b=5, c=6 and d=7, then ab+d =3×5+7=15+7=23, an odd number. Reject.

Choice (C): ac+d

Suppose a is odd. Then c must also be odd, being a number 2 more than a.

Hence, ac is the product of two odd numbers and must therefore be odd.

Now, d is the integer following c and must be even.

Hence, ac+d= odd + even = odd.

For example,

If a=3, then b=3+1=4, c=4+1=5 (odd) and d=5+1=6 (even) and ac+d =3 × 5 + 6 = 21, an odd number. Reject.

Choice (D): ac+e

Suppose a is an odd number.

Then both c and e must also be odd.

Now, ac is product of two odd numbers and therefore must be odd.

Summing this with another odd number e yields an even number.

For example, if a=1, then c must equal 3, and e must equal 5 and ac+e must equal 1 × 3 + 5 = 8, an even number.

Now, suppose a is an even number.

Then both c and e must also be even.

Hence, ac+e = (product of two even numbers) + (an even number) =(even number) + (even number) =an even number

For example,

If a=2, then c must equal 4, and e must equal 6 and the expression ac+e equals 14, an even number. Hence, in any case, ac + e is even. Correct.

General Tests: Mock Test - 3 - Question 53

Select the correct set of symbols which will fit in the given equation 5 0 6 8 = 48

Detailed Solution for General Tests: Mock Test - 3 - Question 53

These questions are mainly solved with a hit and trial method. Let check option (c), we get 5 × 0 + 6 × 8 = 48, Which is correct. So, (C) must be the right choice.

General Tests: Mock Test - 3 - Question 54

One year ago, the ratio between Rajeev’s salary and Shivani’s salary is 4:5. The ratio between their individual salary of the last year and current year is 2:5 and 10:11 respectively. If the total current salary of Rajeev and Shivani is 6200. Then find the current salary of Shivani?

Detailed Solution for General Tests: Mock Test - 3 - Question 54

Let previous year salary of Rajeev be 4x and Shivani be 5x Rajeev’s Previous year salary be 2y and Current year salary be 5y So, 4x is equal to 2y then 5y is equal to 10x.

Similarly, Shivani’s previous year salary was 10y and Current year salary was 11y. So, 5x is equal to 10y then 11y is equal to (11/2) x.

So, the current year salary ratio is 20: 11.

Given, 31x = 6200

⇒ x = 200 The current salary of Shivani = (11/31) × 6200 = 2200

General Tests: Mock Test - 3 - Question 55

if the HCF of two numbers (each greater than 15) be 15 and LCM be 315, then the sum of numbers will be

Detailed Solution for General Tests: Mock Test - 3 - Question 55

Let the number be 15a and 15b, then using the product of numbers = LCM × HCF

=15a ×15b = 315 × 15

= a × b= 21

21 = 3 × 7 so, numbers can be 15 × 3, 15 × 7

Sum =45 + 105= 150

General Tests: Mock Test - 3 - Question 56

find the least value of “b” for which 67b326 is divisible by 3?

Detailed Solution for General Tests: Mock Test - 3 - Question 56

The required number is b.

Then, = 6+7+b+3+2+6=24+b is divisible by 3.

Therefore, the least value of b is 0.

General Tests: Mock Test - 3 - Question 57

The ratio of Adam’s age 4 years ago and Eve’s age after 4 years is 1: 1. Presently, the ratio of their ages is 4 : 3. Find the ratio between Adam’s age 4 years hence and Eve’s age 4 years

Detailed Solution for General Tests: Mock Test - 3 - Question 57

Currently, the ratio of their ages is 4: 3. Suppose, their ages are: 4x and 3x.

Adam’s age 4 years ago = 4x – 4

Eve’s age after 4 years = 3x + 4

The ratio of Adam’s age 4 years ago and Eve's age after 4 years is 1: 1

Therefore,

Solving, we get x = 8

We are required to find the ratio between Adam’s age 4 years hence and Eve’s age 4 years ago.

Adam's age: (4x + 4)

Eve's age: (3x – 4)

Putting the value of x, we get:

 =  = 

So, the required ratio is 9: 5

General Tests: Mock Test - 3 - Question 58

In a college, 12% of total students are interested in chess. 3/4 of the total students are interested in hockey. 10 % of the remaining students are interested in singing and the remaining 117 are interested in dancing. How many students are there in college?

Detailed Solution for General Tests: Mock Test - 3 - Question 58

Total percentage of students = 100%

Students interested in chess = 12%

Students interested in Hockey = 3/4 × 100 = 75%

Students interested in singing = 10% 13%

% of students interested in Dancing =[100 − (12 + 75 + 1.3)]% = 11.7%

So 11.7% = 117, then 100% =117/11.7 x 100 = 1,000

So, total number of students = 1,000

General Tests: Mock Test - 3 - Question 59

Rehman earns a profit of 50% on selling a knife at 40% discount on the printed price. The ratio of Cost price and the printed price is:

Detailed Solution for General Tests: Mock Test - 3 - Question 59

Let the cost price = Rs. 100

Selling price = Rs. 150

General Tests: Mock Test - 3 - Question 60

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? 

Detailed Solution for General Tests: Mock Test - 3 - Question 60

Speed without stoppages = 54km/hr 
Speed with stoppages = 45km/hr
Stoppages per hour =

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