Test Result & Solutions

Question 1 Unattempted

                    Choose the correct meaning of the idiom 'Once in a blue moon'.                

A) At night

B) At the right time

C) Very frequently

D) Very rarely

Explanation:

The idiom 'once in a blue moon' means something that happens very rarely.

Question 2 Unattempted

                    As a manager, you notice a consistently high-performing employee has been arriving late to work for the past two weeks, demonstrating unusual behavior. Based on Emotional Intelligence principles, what is your best course of action?                

A) Have a private, empathetic conversation to understand the underlying reason.

B) Issue an immediate formal written warning.

C) Ignore the behavior completely since they are a top performer.

D) Publicly point out the tardiness during the next team meeting.

Explanation:

Emotional intelligence involves managing relationships with empathy. A private conversation helps identify potential personal issues or burnout without destroying the employee's morale.

Question 3 Unattempted

                    $$A$$ and $$B$$ started a business investing $$Rs. 20,000$$ and $$Rs. 30,000$$ respectively. After $$6$$ months, $$C$$ joined them with an investment of $$Rs. 40,000$$. Find the share of $$C$$ in the total annual profit of $$Rs. 70,000$$.                

A) $$Rs. 15,000$$

B) $$Rs. 30,000$$

C) $$Rs. 20,000$$

D) $$Rs. 25,000$$

Explanation:

Profit sharing ratio depends on Investment $$\times$$ Time. Ratio of $$A : B : C$$ = $$(20000 \times 12) : (30000 \times 12) : (40000 \times 6)$$ = $$240000 : 360000 : 240000$$ = $$2 : 3 : 2$$. Sum of ratios = $$7$$. Share of $$C$$ = $$\frac{2}{7} \times 70000 = Rs. 20,000$$.

Question 4 Unattempted

                    Match the following Indian classical dances with their states of origin:


List I (Dance)List II (State)
i. Kathak1. Kerala
ii. Kathakali2. Uttar Pradesh
iii. Bharatanatyam3. Tamil Nadu
iv. Odissi4. Odisha


Choose the correct option:                

A) i-4, ii-3, iii-1, iv-2

B) i-1, ii-2, iii-4, iv-3

C) i-3, ii-1, iii-2, iv-4

D) i-2, ii-1, iii-3, iv-4

Explanation:

Kathak is associated with Uttar Pradesh, Kathakali with Kerala, Bharatanatyam with Tamil Nadu, and Odissi with Odisha.

Question 5 Unattempted

                    A regular right pyramid has a square base with a side of $$10 \text{ cm}$$. If the vertical height of the pyramid is $$12 \text{ cm}$$, what is its total surface area?                

A) $$360 \text{ cm}^2$$

B) $$260 \text{ cm}^2$$

C) $$400 \text{ cm}^2$$

D) $$340 \text{ cm}^2$$

Explanation:

Base Area = $$10 \times 10 = 100 \text{ cm}^2$$. To find the lateral area, we need the slant height ($$l$$). Using the right triangle formed by the height, half the base, and slant height: $$l = \sqrt{12^2 + 5^2} = \sqrt{144 + 25} = 13 \text{ cm}$$. Lateral Area = $$4 \times (\frac{1}{2} \times \text{base} \times l) = 4 \times (\frac{1}{2} \times 10 \times 13) = 260 \text{ cm}^2$$. Total Surface Area = $$100 + 260 = 360 \text{ cm}^2$$.

Question 6 Unattempted

                    Consider the following statements about the ozone layer:

1. It is mainly located in the stratosphere.

2. It absorbs much of the Sun's harmful ultraviolet radiation.

3. The use of certain ozone-depleting substances contributed to its depletion.

Which statements are correct?

A) 1 and 2 only

B) 1, 2 and 3

C) 2 and 3 only

D) 1 only

Explanation:

All three statements are correct. The stratospheric ozone layer absorbs much of the Sun's harmful ultraviolet radiation, and substances such as chlorofluorocarbons (CFCs) have contributed to ozone depletion.

Question 7 Unattempted

                    Find the missing term in the alphanumeric series: $$Z_{26}, X_{24}, V_{22}, ?$$                

A) $$T_{20}$$

B) $$S_{19}$$

C) $$R_{18}$$

D) $$U_{21}$$

Explanation:

The letters are decreasing by 2 (Z, X, V, T) and the subscripts are their corresponding positional values in the English alphabet ($$26, 24, 22, 20$$).

Question 8 Unattempted

                    Match the following scientific instruments with their uses:


List I (Instrument)List II (Use)
i. Barometer1. Humidity
ii. Thermometer2. Atmospheric pressure
iii. Hygrometer3. Temperature
iv. Seismograph4. Earthquake vibrations


Choose the correct matching:                

A) i-2, ii-3, iii-1, iv-4

B) i-4, ii-1, iii-3, iv-2

C) i-3, ii-2, iii-4, iv-1

D) i-1, ii-3, iii-2, iv-4

Explanation:

A barometer measures atmospheric pressure, a thermometer measures temperature, a hygrometer measures humidity, and a seismograph records ground vibrations associated with earthquakes.

Question 9 Unattempted

                    In a certain code language, the word 'ROAST' is written as 'PQYUR'. How will 'SLOPPY' be written in that same code?                

A) QNMQNA

B) PRMRNA

C) QNNRNA

D) QNMRNA

Explanation:

The letters alternately shift by $$-2$$ and $$+2$$. S(-2)=Q, L(+2)=N, O(-2)=M, P(+2)=R, P(-2)=N, Y(+2)=A. The result is QNMRNA.

Question 10 Unattempted

                    Spot the error in the following sentence: Each of the students have submitted the assignment.                

A) No error

B) Each of the students

C) the assignment

D) have submitted

Explanation:

The error is 'have submitted'. The word 'each' takes a singular verb, so the correct phrase is 'has submitted'.

Question 11 Unattempted

                    What is a single discount equivalent to two successive discounts of $$20\%$$ and $$15\%$$?                

A) $$35\%$$

B) $$32\%$$

C) $$38\%$$

D) $$34\%$$

Explanation:

The formula for equivalent successive discounts of $$x\%$$ and $$y\%$$ is $$\left(x + y - \frac{xy}{100}\right)\% $$. Substituting $$x = 20$$ and $$y = 15$$, we get $$\left(20 + 15 - \frac{20 \times 15}{100}\right)\% = \left(35 - \frac{300}{100}\right)\% = 35 - 3 = 32\%$$.

Question 12 Unattempted

                    Identify the odd number out from the given classification: $$144, 169, 196, 210$$                

A) $$210$$

B) $$196$$

C) $$144$$

D) $$169$$

Explanation:

$$144$$, $$169$$, and $$196$$ are perfect squares ($$12^2$$, $$13^2$$, and $$14^2$$ respectively). $$210$$ is not a perfect square.

Question 13 Unattempted

                    Which component of a computer is known as the 'brain of the computer'?                

A) Central Processing Unit (CPU)

B) Monitor

C) Hard Disk

D) Keyboard

Explanation:

The CPU is known as the brain of the computer because it executes instructions, performs calculations, and controls the operations of other components.

Question 14 Unattempted

                    What is the principal objective of the Goods and Services Tax (GST) in India?                

A) To replace all direct taxes

B) To tax only agricultural income

C) To abolish income tax

D) To create a more unified indirect tax system

Explanation:

GST was introduced to consolidate many central and state indirect taxes into a more unified tax system and reduce the cascading effect of taxes.

Question 15 Unattempted

                    Pipe A can fill a tank in $$10$$ hours and Pipe B can fill it in $$15$$ hours. If both pipes are opened together, how much time will it take to fill the tank completely?                

A) $$6 \text{ hours}$$

B) $$5 \text{ hours}$$

C) $$8 \text{ hours}$$

D) $$12.5 \text{ hours}$$

Explanation:

Part filled by Pipe A in $$1$$ hour = $$\frac{1}{10}$$. Part filled by Pipe B in $$1$$ hour = $$\frac{1}{15}$$. Part filled by both in $$1$$ hour = $$\frac{1}{10} + \frac{1}{15} = \frac{3 + 2}{30} = \frac{5}{30} = \frac{1}{6}$$. Therefore, they will fill the tank in $$6$$ hours.

Question 16 Unattempted

                    Match the following important days with their dates:


List I (Day)List II (Date)
i. World Environment Day1. 22 April
ii. Earth Day2. 5 June
iii. International Yoga Day3. 21 June
iv. National Science Day (India)4. 28 February


Choose the correct matching:                

A) i-1, ii-2, iii-4, iv-3

B) i-2, ii-3, iii-1, iv-4

C) i-3, ii-1, iii-2, iv-4

D) i-2, ii-1, iii-3, iv-4

Explanation:

World Environment Day is observed on 5 June, Earth Day on 22 April, International Yoga Day on 21 June, and National Science Day in India on 28 February.

Question 17 Unattempted

                    Consider the following statements about Microsoft Excel:

1. A workbook can contain multiple worksheets.

2. A formula in Excel generally begins with an equals sign (=).

3. The SUM function is used to add numerical values.

Which statements are correct?

A) 2 and 3 only

B) 1 and 2 only

C) 1, 2 and 3

D) 1 only

Explanation:

All three statements are correct. An Excel workbook can contain multiple worksheets, formulas generally start with =, and SUM calculates the total of numerical values.

Question 18 Unattempted

                    Consider the following statements about the Mughal Empire:

1. Akbar introduced the policy of Sulh-i-Kul, meaning universal peace.

2. Shah Jahan commissioned the construction of the Taj Mahal.

3. Babur founded the Mughal Empire in India after the First Battle of Panipat in 1526.

Which statements are correct?

A) 1, 2 and 3

B) 2 and 3 only

C) 1 only

D) 1 and 2 only

Explanation:

All three statements are correct. Akbar promoted Sulh-i-Kul, Shah Jahan commissioned the Taj Mahal, and Babur established Mughal rule after defeating Ibrahim Lodi in 1526.

Question 19 Unattempted

                    What is the area of the triangle formed by the graph of the linear equation $$3x + 4y = 12$$ and the coordinate axes?                

A) $$6 \text{ sq units}$$

B) $$24 \text{ sq units}$$

C) $$12 \text{ sq units}$$

D) $$8 \text{ sq units}$$

Explanation:

To find the intercepts, set $$x=0$$ to get $$y$-intercept = $$3$$, and set $$y=0$$ to get $$x$-intercept = $$4$$. These intercepts form the base and height of a right-angled triangle. Area = $$\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 3 = 6 \text{ sq units}$$.

Question 20 Unattempted

                    Which of the following is the main function of the Election Commission of India?                

A) Appointing Supreme Court judges

B) Conducting elections to Parliament and State Legislatures

C) Controlling monetary policy

D) Preparing the Union Budget

Explanation:

The Election Commission of India supervises, directs, and controls elections to Parliament, State Legislatures, and the offices of the President and Vice-President.

Question 21 Unattempted

                    A clock is set accurately at 5:00 AM. It loses 16 minutes every 24 hours. What will be the true time when the faulty clock indicates 10:00 PM on the 4th day?                

A) $$12:00 \text{ Midnight}$$

B) $$11:00 \text{ PM}$$

C) $$10:45 \text{ PM}$$

D) $$11:15 \text{ PM}$$

Explanation:

The faulty clock loses 16 minutes in 24 hours, meaning 23 hrs 44 mins ($$356/15$$ hrs) of the faulty clock equals 24 hrs of the true clock. Time passed on the faulty clock from 5 AM day 1 to 10 PM day 4 is 89 hours. True time elapsed = $$\frac{24}{356/15} \times 89 = 90$$ hours. 90 hours from 5 AM day 1 is 11:00 PM on day 4.

Question 22 Unattempted

                    Select the option that shows the same relationship as the given semantic analogy:

Book : Chapter :: Building : ?                

A) Concrete

B) Architect

C) Story

D) Roof

Explanation:

A 'Book' is structurally divided into 'Chapters', just as a 'Building' is divided into 'Stories'.

Question 23 Unattempted

                    Choose the correct synonym of 'Diligent'.                

A) Lazy

B) Weak

C) Careless

D) Hardworking

Explanation:

Diligent means showing care and consistent effort in one's work. Hardworking is its closest synonym.

Question 24 Unattempted

                    If $$5 \sin \theta - 4 \cos \theta = 0$$ and $$0^\circ < \theta < 90^\circ$$, find the value of $$\frac{5 \sin \theta - 2 \cos \theta}{5 \sin \theta + 3 \cos \theta}$$.                

A) $$\frac{2}{7}$$

B) $$\frac{3}{7}$$

C) $$\frac{5}{7}$$

D) $$\frac{1}{3}$$

Explanation:

From the given equation, $$5 \sin \theta = 4 \cos \theta$$, which implies $$\tan \theta = \frac{4}{5}$$. To evaluate the expression, divide the numerator and the denominator by $$\cos \theta$$. The expression becomes $$\frac{5 \tan \theta - 2}{5 \tan \theta + 3}$$. Substitute $$5 \tan \theta = 4$$: $$\frac{4 - 2}{4 + 3} = \frac{2}{7}$$.

Question 25 Unattempted

                    Match the following sports trophies with their associated sports:


List I (Trophy)List II (Sport)
i. Ranji Trophy1. Football
ii. Santosh Trophy2. Hockey
iii. Thomas Cup3. Cricket
iv. Sultan Azlan Shah Cup4. Badminton


Choose the correct option:                

A) i-3, ii-1, iii-4, iv-2

B) i-3, ii-4, iii-1, iv-2

C) i-1, ii-3, iii-2, iv-4

D) i-4, ii-2, iii-3, iv-1

Explanation:

The Ranji Trophy is associated with cricket, the Santosh Trophy with football, the Thomas Cup with men's team badminton, and the Sultan Azlan Shah Cup with men's field hockey.

Question 26 Unattempted

                    If '$$+$$' means '$$\times$$', '$$-$$' means '$$\div$$', '$$\times$$' means '$$-$$', and '$$\div$$' means '$$+$$', evaluate the following expression: $$16 - 4 + 3 \div 5 \times 2$$                

A) $$17$$

B) $$13$$

C) $$19$$

D) $$15$$

Explanation:

Applying the given substitutions, the expression becomes $$16 \div 4 \times 3 + 5 - 2$$. Using BODMAS, we get $$4 \times 3 + 5 - 2 = 12 + 5 - 2 = 15$$.

Question 27 Unattempted

                    If the measure of each interior angle of a regular polygon is $$150^\circ$$, how many sides does the polygon have?                

A) $$14$$

B) $$10$$

C) $$15$$

D) $$12$$

Explanation:

The sum of an interior and an exterior angle of a regular polygon is $$180^\circ$$. So, the exterior angle = $$180^\circ - 150^\circ = 30^\circ$$. The number of sides $$n$$ is given by $$n = \frac{360^\circ}{\text{Exterior Angle}} = \frac{360^\circ}{30^\circ} = 12$$.

Question 28 Unattempted

                    Which of the following is an example of an output device?                

A) Microphone

B) Monitor

C) Mouse

D) Keyboard

Explanation:

A monitor is an output device because it displays information processed by the computer. A mouse, keyboard, and microphone are input devices.

Question 29 Unattempted

                    Improve the following sentence: 'Neither of the boys are present today.'                

A) Neither of the boys are presents today.

B) Neither of the boys were present today.

C) Neither of the boys have present today.

D) Neither of the boys is present today.

Explanation:

In formal examination grammar, 'neither' is treated as singular, so it takes the singular verb 'is'.

Question 30 Unattempted

                    Identify the correctly spelt word.                

A) Accomodation

B) Accommodation

C) Acommodation

D) Accommadation

Explanation:

Accommodation is the correct spelling. It contains double 'c' and double 'm'.

Question 31 Unattempted

                    Two cards are drawn at random from a standard deck of $$52$$ playing cards without replacement. What is the probability that both cards drawn are aces?                

A) $$\frac{1}{169}$$

B) $$\frac{1}{26}$$

C) $$\frac{4}{663}$$

D) $$\frac{1}{221}$$

Explanation:

The probability of the first card being an ace is $$\frac{4}{52} = \frac{1}{13}$$. Since there's no replacement, $$51$$ cards remain, $$3$$ of which are aces. The probability of the second card being an ace is $$\frac{3}{51} = \frac{1}{17}$$. The combined probability is $$\frac{1}{13} \times \frac{1}{17} = \frac{1}{221}$$.

Question 32 Unattempted

                    A train $$150 \text{ m}$$ long is running at a speed of $$72 \text{ km/hr}$$. How much time will it take to cross a platform $$250 \text{ m}$$ long?                

A) $$15 \text{ seconds}$$

B) $$18 \text{ seconds}$$

C) $$25 \text{ seconds}$$

D) $$20 \text{ seconds}$$

Explanation:

Speed of train = $$72 \text{ km/hr} = 72 \times \frac{5}{18} \text{ m/s} = 20 \text{ m/s}$$. Total distance to be covered = Length of train + Length of platform = $$150 \text{ m} + 250 \text{ m} = 400 \text{ m}$$. Time taken = $$\frac{\text{Distance}}{\text{Speed}} = \frac{400}{20} = 20 \text{ seconds}$$.

Question 33 Unattempted

                    The areas of two similar triangles are $$144 \text{ cm}^2$$ and $$81 \text{ cm}^2$$. If the longest side of the larger triangle is $$36 \text{ cm}$$, what is the length of the corresponding longest side of the smaller triangle?                

A) $$27 \text{ cm}$$

B) $$30 \text{ cm}$$

C) $$24 \text{ cm}$$

D) $$18 \text{ cm}$$

Explanation:

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. So, $$\frac{144}{81} = \left(\frac{36}{x}\right)^2$$. Taking the square root of both sides gives $$\frac{12}{9} = \frac{36}{x}$$. Solving for $$x$$, we get $$x = \frac{9 \times 36}{12} = 27 \text{ cm}$$.

Question 34 Unattempted

                    Read the statement and determine which inference drawn is logically sound.

Statement: Quality has a price tag. India is allocating substantial funds to education.

Conclusions: I. The quality of education in India will likely improve. II. Funding alone can enhance quality.                

A) Both Conclusion I and II follow

B) Neither I nor II follows

C) Only Conclusion I follows

D) Only Conclusion II follows

Explanation:

Conclusion I logically infers the intent of allocating funds to a sector linked with quality. Conclusion II uses the extreme word 'alone', making it an invalid inference.

Question 35 Unattempted

                    Which institution is responsible for issuing most currency notes in India?                

A) State Bank of India

B) NITI Aayog

C) Reserve Bank of India

D) Ministry of Finance alone

Explanation:

The Reserve Bank of India (RBI) issues most Indian currency notes. The Government of India issues the one-rupee note.

Question 36 Unattempted

                    A metallic solid sphere of radius $$9 \text{ cm}$$ is melted and recast into a solid right circular cylinder of radius $$6 \text{ cm}$$. What is the height of the resulting cylinder?                

A) $$18 \text{ cm}$$

B) $$24 \text{ cm}$$

C) $$27 \text{ cm}$$

D) $$36 \text{ cm}$$

Explanation:

Volume of Sphere = Volume of Cylinder. $$\frac{4}{3}\pi r_1^3 = \pi r_2^2 h$$. Substituting the radii: $$\frac{4}{3} \times \pi \times 9^3 = \pi \times 6^2 \times h$$. This simplifies to $$\frac{4}{3} \times 729 = 36h$$, so $$972 = 36h$$. Solving for $$h$$ gives $$h = 27 \text{ cm}$$.

Question 37 Unattempted

                    By selling an article for $$Rs. 240$$, a man incurs a loss of $$10\%$$. At what price should he sell it to make a profit of $$20\%$$?                

A) $$Rs. 280$$

B) $$Rs. 320$$

C) $$Rs. 340$$

D) $$Rs. 300$$

Explanation:

Selling price = $$Rs. 240$$. Loss = $$10\%$$. Cost Price (CP) = $$\frac{100}{100 - \text{Loss}\%} \times SP = \frac{100}{90} \times 240 = Rs. \frac{800}{3}$$. To get a $$20\%$$ profit, the new SP = $$\frac{100 + \text{Profit}\%}{100} \times CP = \frac{120}{100} \times \frac{800}{3} = 40 \times 8 = Rs. 320$$.

Question 38 Unattempted

                    Choose the correct word to complete the sentence: The principal gave me some useful _____.                

A) Advises

B) Advice

C) Advices

D) Advising

Explanation:

'Advice' is an uncountable noun in standard English and does not normally take a plural 's'. The correct sentence uses 'some useful advice'.

Question 39 Unattempted

                    Consider the following statements and conclusions:

Statements: 1. All dogs are cats. 2. Some cats are rats.

Conclusions: I. Some dogs are rats. II. Some cats are dogs.                

A) Only Conclusion I follows

B) Neither I nor II follows

C) Both I and II follow

D) Only Conclusion II follows

Explanation:

Conclusion I does not necessarily follow because the connection between dogs and rats is not established. Conclusion II follows logically through the conversion of the first statement.

Question 40 Unattempted

                    Match the following national parks with their respective states or Union Territories:


List I (National Park)List II (State/UT)
i. Dachigam National Park1. Assam
ii. Kaziranga National Park2. Jammu and Kashmir
iii. Jim Corbett National Park3. Uttarakhand
iv. Gir National Park4. Gujarat


Choose the correct matching:                

A) i-4, ii-1, iii-3, iv-2

B) i-2, ii-3, iii-1, iv-4

C) i-2, ii-1, iii-3, iv-4

D) i-1, ii-2, iii-4, iv-3

Explanation:

Dachigam National Park is in Jammu and Kashmir, Kaziranga is in Assam, Jim Corbett is in Uttarakhand, and Gir National Park is in Gujarat.

Question 41 Unattempted

                    Who was the first Prime Minister of India?                

A) Dr. Rajendra Prasad

B) Jawaharlal Nehru

C) Lal Bahadur Shastri

D) Sardar Vallabhbhai Patel

Explanation:

Jawaharlal Nehru became the first Prime Minister of independent India on 15 August 1947.

Question 42 Unattempted

                    Which of the following rivers is known as the 'Lifeline of Kashmir Valley'?                

A) Ravi

B) Jhelum

C) Chenab

D) Indus

Explanation:

The Jhelum River is considered the lifeline of the Kashmir Valley. It flows through Srinagar and plays an important role in the region's agriculture and geography.

Question 43 Unattempted

                    Which keyboard shortcut is commonly used to copy selected text or files in Windows?                

A) Ctrl + X

B) Ctrl + V

C) Ctrl + Z

D) Ctrl + C

Explanation:

Ctrl + C copies the selected text or files. Ctrl + X cuts, Ctrl + V pastes, and Ctrl + Z undoes the last action.

Question 44 Unattempted

                    Which keyboard shortcut is commonly used to permanently delete a selected file in Windows without sending it to the Recycle Bin?                

A) Alt + Tab

B) Shift + Delete

C) Ctrl + D

D) Ctrl + P

Explanation:

Shift + Delete generally permanently deletes a selected file without moving it to the Recycle Bin. Use it carefully because recovery may be difficult.

Question 45 Unattempted

                    Match the following computer devices with their respective functions:


List I (Device)List II (Function)
i. Keyboard1. Produces hard copies
ii. Scanner2. Enters text and commands
iii. Printer3. Converts documents into digital images
iv. Monitor4. Displays visual output


Choose the correct option:                

A) i-1, ii-4, iii-2, iv-3

B) i-3, ii-2, iii-4, iv-1

C) i-2, ii-3, iii-1, iv-4

D) i-4, ii-1, iii-3, iv-2

Explanation:

A keyboard enters text and commands, a scanner digitizes documents, a printer produces hard copies, and a monitor displays visual output.

Question 46 Unattempted

                    In symbolic operations, if $$A \oplus B = (A + B)^2 - (A - B)^2$$, find the value of $$5 \oplus 3$$.                

A) $$60$$

B) $$34$$

C) $$64$$

D) $$16$$

Explanation:

Expanding the formula gives $$4AB$$. Substituting $$A=5$$ and $$B=3$$, we get $$4 \times 5 \times 3 = 60$$. Alternatively, $$(8)^2 - (2)^2 = 64 - 4 = 60$$.

Question 47 Unattempted

                    Consider the following statements about the Indus Valley Civilization:

1. Harappa was located on the Ravi River.

2. The people of this civilization used standardized weights and measures.

3. The civilization is known for its well-planned urban drainage systems.

Which statements are correct?

A) 1, 2 and 3

B) 1 and 2 only

C) 2 and 3 only

D) 1 only

Explanation:

All three statements are correct. Harappa was situated near the Ravi River, and the civilization was notable for standardized weights, measures, and advanced urban drainage.

Question 48 Unattempted

                    A man travels from location $$X$$ to $$Y$$ at a speed of $$40 \text{ km/hr}$$ and returns from $$Y$$ to $$X$$ at a speed of $$60 \text{ km/hr}$$. What is his average speed for the entire journey?                

A) $$52 \text{ km/hr}$$

B) $$50 \text{ km/hr}$$

C) $$54 \text{ km/hr}$$

D) $$48 \text{ km/hr}$$

Explanation:

When equal distances are covered at speeds $$v_1$$ and $$v_2$$, the average speed is given by $$\frac{2 v_1 v_2}{v_1 + v_2}$$. Therefore, Average Speed = $$\frac{2 \times 40 \times 60}{40 + 60} = \frac{4800}{100} = 48 \text{ km/hr}$$.

Question 49 Unattempted

                    Which sector is generally considered part of the primary sector of the Indian economy?                

A) Insurance

B) Agriculture

C) Software development

D) Banking

Explanation:

Agriculture belongs to the primary sector because it involves obtaining products directly from natural resources. Banking, software development, and insurance are part of the service sector.

Question 50 Unattempted

                    $$A$$ can do a piece of work in $$15$$ days and $$B$$ in $$20$$ days. If they work together on it for $$4$$ days, what fraction of the work is left?                

A) $$\frac{2}{5}$$

B) $$\frac{7}{15}$$

C) $$\frac{8}{15}$$

D) $$\frac{11}{15}$$

Explanation:

Work done by $$A$$ in $$1$$ day = $$\frac{1}{15}$$. Work done by $$B$$ in $$1$$ day = $$\frac{1}{20}$$. Work done by both in $$1$$ day = $$\frac{1}{15} + \frac{1}{20} = \frac{4 + 3}{60} = \frac{7}{60}$$. Work done in $$4$$ days = $$4 \times \frac{7}{60} = \frac{7}{15}$$. Fraction of work left = $$1 - \frac{7}{15} = \frac{8}{15}$$.

Question 51 Unattempted

                    Find the next term in the number series: $$2, 5, 11, 23, ?$$                

A) $$47$$

B) $$45$$

C) $$51$$

D) $$49$$

Explanation:

The pattern follows the rule $$x_n = (x_{n-1} \times 2) + 1$$. Therefore, the next term is $$(23 \times 2) + 1 = 47$$.

Question 52 Unattempted

                    Consider the following statements about the Panchayati Raj system in India:

1. The 73rd Constitutional Amendment gave constitutional status to Panchayati Raj institutions.

2. The Gram Sabha consists of registered voters in a village or the area covered by it.

3. The Constitution provides for a five-year term for Panchayats, subject to its provisions.

Which statements are correct?

A) 2 and 3 only

B) 1 only

C) 1 and 2 only

D) 1, 2 and 3

Explanation:

All three statements are correct. The 73rd Constitutional Amendment Act, 1992, established a constitutional framework for Panchayati Raj institutions, including Gram Sabhas and five-year terms for Panchayats.

Question 53 Unattempted

                    Simplify the elementary surd expression: $$\frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}}$$                

A) $$4 + \sqrt{15}$$

B) $$8 + 2\sqrt{15}$$

C) $$4 - \sqrt{15}$$

D) $$2 + \sqrt{15}$$

Explanation:

Rationalize the denominator by multiplying the numerator and denominator by the conjugate $$(\sqrt{5} + \sqrt{3})$$. The numerator becomes $$(\sqrt{5} + \sqrt{3})^2 = 5 + 3 + 2\sqrt{15} = 8 + 2\sqrt{15}$$. The denominator becomes $$(\sqrt{5})^2 - (\sqrt{3})^2 = 5 - 3 = 2$$. Dividing yields $$\frac{8 + 2\sqrt{15}}{2} = 4 + \sqrt{15}$$.

Question 54 Unattempted

                    If $$20\%$$ of $$A = B$$, then $$B\%$$ of $$20$$ is the same as:                

A) $$20\%$$ of $$A$$

B) $$4\%$$ of $$A$$

C) None of these

D) $$5\%$$ of $$A$$

Explanation:

Given, $$B = \frac{20}{100} \times A = \frac{A}{5}$$. We need to find $$B\%$$ of $$20$$, which is $$\frac{B}{100} \times 20 = \frac{B}{5}$$. Substituting $$B = \frac{A}{5}$$ into this, we get $$\frac{A/5}{5} = \frac{A}{25}$$. $$\frac{1}{25}$$ is $$4\%$$, so the answer is $$4\%$$ of $$A$$.

Question 55 Unattempted

                    Which gas is primarily responsible for the greenhouse effect caused by human activities?                

A) Carbon dioxide

B) Helium

C) Hydrogen

D) Oxygen

Explanation:

Carbon dioxide is a major greenhouse gas released by activities such as burning fossil fuels and deforestation. Other greenhouse gases also contribute to global warming.

Question 56 Unattempted

                    Consider the following statements about computer memory:

1. RAM is a volatile memory.

2. ROM generally retains its contents when the power is switched off.

3. RAM is primarily used for permanently storing files and documents.

Which of the statements given above are correct?

A) 1 only

B) 1, 2 and 3

C) 2 and 3 only

D) 1 and 2 only

Explanation:

Statements 1 and 2 are correct. RAM is volatile and loses its contents when power is switched off, while ROM is non-volatile. RAM is used for temporary working data, not permanent file storage.

Question 57 Unattempted

                    Which protocol is commonly used to access secure websites?                

A) HTTPS

B) FTP

C) SMTP

D) HTTP

Explanation:

HTTPS uses encryption through TLS to protect data exchanged between a browser and a website. SMTP is used for sending e-mail, while FTP is used for file transfer.

Question 58 Unattempted

                    Consider the following statements about the Indian Constitution:

1. The Constitution of India came into effect on 26 January 1950.

2. The Constituent Assembly adopted the Constitution on 26 November 1949.

3. Dr. B. R. Ambedkar was the Chairman of the Drafting Committee.

Which of the statements given above are correct?

A) 2 and 3 only

B) 1 only

C) 1, 2 and 3

D) 1 and 2 only

Explanation:

All three statements are correct. The Constitution was adopted on 26 November 1949 and came into force on 26 January 1950. Dr. B. R. Ambedkar chaired the Drafting Committee.

Question 59 Unattempted

                    If $$\frac{3}{5}$$ of a number exceeds its $$\frac{2}{7}$$ by $$44$$, find the number.                

A) $$160$$

B) $$120$$

C) $$110$$

D) $$140$$

Explanation:

Let the number be $$x$$. According to the question, $$\frac{3x}{5} - \frac{2x}{7} = 44$$. Taking LCM of $$5$$ and $$7$$, we get $$\frac{21x - 10x}{35} = 44$$. This simplifies to $$\frac{11x}{35} = 44$$. Solving for $$x$$, we get $$x = \frac{44 \times 35}{11} = 4 \times 35 = 140$$.

Question 60 Unattempted

                    Which organization publishes the Human Development Report?                

A) United Nations Development Programme (UNDP)

B) International Monetary Fund

C) World Bank

D) World Health Organization

Explanation:

The United Nations Development Programme (UNDP) publishes the Human Development Report, which examines human development using indicators including health, education, and income.

Question 61 Unattempted

                    Evaluate the value of: $$\sqrt{248 + \sqrt{52 + \sqrt{144}}}$$                

A) $$18$$

B) $$24$$

C) $$16$$

D) $$14$$

Explanation:

Solve the innermost square root first: $$\sqrt{144} = 12$$. The expression becomes $$\sqrt{248 + \sqrt{52 + 12}} = \sqrt{248 + \sqrt{64}}$$. Since $$\sqrt{64} = 8$$, we get $$\sqrt{248 + 8} = \sqrt{256} = 16$$.

Question 62 Unattempted

                    A sum of money amounts to $$Rs. 9800$$ after $$5$$ years and $$Rs. 12005$$ after $$8$$ years at simple interest. What is the rate of interest per annum?                

A) $$8\%$$

B) $$12\%$$

C) $$15\%$$

D) $$10\%$$

Explanation:

Simple interest for $$3$$ years ($$8 - 5$$ years) = $$12005 - 9800 = Rs. 2205$$. SI for $$1$$ year = $$\frac{2205}{3} = Rs. 735$$. SI for $$5$$ years = $$735 \times 5 = Rs. 3675$$. Principal = Amount after $$5$$ years - SI for $$5$$ years = $$9800 - 3675 = Rs. 6125$$. Rate = $$\frac{\text{SI} \times 100}{\text{Principal} \times \text{Time}} = \frac{735 \times 100}{6125 \times 1} = 12\%$$.

Question 63 Unattempted

                    Choose the correct antonym of 'Generous'.                

A) Friendly

B) Kind

C) Helpful

D) Stingy

Explanation:

Generous means willing to give or share. Stingy means unwilling to give or share and is its antonym.

Question 64 Unattempted

                    Choose the grammatically correct sentence.                

A) He does not like coffee.

B) He did not likes coffee.

C) He do not like coffee.

D) He does not likes coffee.

Explanation:

With the singular subject 'he', we use 'does not' followed by the base form of the verb 'like'.

Question 65 Unattempted

                    In a row of boys, if A, who is 10th from the left, and B, who is 9th from the right, interchange their positions, A becomes 15th from the left. How many boys are there in the total row?                

A) $$24$$

B) $$27$$

C) $$28$$

D) $$23$$

Explanation:

After interchanging, A's new position (15th from left) is the same as B's old position (9th from right). Total boys = (Left + Right) - 1 = $$(15 + 9) - 1 = 23$$.

Question 66 Unattempted

                    In what ratio must a grocer mix two varieties of tea worth $$Rs. 60$$ per kg and $$Rs. 65$$ per kg so that by selling the mixture at $$Rs. 68.20$$ per kg he may gain $$10\%$$?                

A) $$3 : 2$$

B) $$2 : 3$$

C) $$4 : 3$$

D) $$3 : 4$$

Explanation:

Selling price of mixture = $$Rs. 68.20$$, Profit = $$10\%$$. Cost price of mixture = $$\frac{100}{110} \times 68.20 = Rs. 62$$ per kg. By the rule of alligation: Ratio = $$(65 - 62) : (62 - 60) = 3 : 2$$.

Question 67 Unattempted

                    Which of the following statements about the Internet and e-mail is correct?

1. Downloading means transferring data from a remote system to a local device.

2. Uploading means transferring data from a local device to a remote system.

3. The BCC field in an e-mail helps hide recipients' addresses from other recipients.

Choose the correct answer:

A) 1 and 2 only

B) 1 only

C) 1, 2 and 3

D) 2 and 3 only

Explanation:

All three statements are correct. Downloading brings data to your device, uploading sends data to a remote system, and BCC conceals recipients' addresses from other recipients.

Question 68 Unattempted

                    The standard deviation of a set of $$10$$ observations is $$4$$. If every observation is multiplied by $$3$$, what will be the new variance of the resulting observations?                

A) $$144$$

B) $$16$$

C) $$48$$

D) $$12$$

Explanation:

If each observation in a dataset is multiplied by a constant $$k$$, the standard deviation is multiplied by $$|k|$$. The new standard deviation = $$4 \times 3 = 12$$. Variance is the square of the standard deviation, so the new variance = $$12^2 = 144$$.

Question 69 Unattempted

                    If $$x + \frac{1}{x} = 5$$, find the value of $$x^3 + \frac{1}{x^3}$$.                

A) $$125$$

B) $$115$$

C) $$110$$

D) $$120$$

Explanation:

Using the algebraic identity $$(x + \frac{1}{x})^3 = x^3 + \frac{1}{x^3} + 3(x + \frac{1}{x})$$. Substituting the value: $$5^3 = x^3 + \frac{1}{x^3} + 3(5)$$. Therefore, $$125 = x^3 + \frac{1}{x^3} + 15$$, which gives $$x^3 + \frac{1}{x^3} = 110$$.

Question 70 Unattempted

                    Consider the following statements about Jammu and Kashmir:

1. Srinagar is the summer capital of the Union Territory.

2. Jammu is its winter capital under the traditional seasonal capital arrangement.

3. The Chenab River flows through the Jammu region.

Which statements are correct?

A) 1 only

B) 1 and 2 only

C) 2 and 3 only

D) 1, 2 and 3

Explanation:

All three statements are correct in the context of the traditional seasonal capital arrangement. Srinagar serves as the summer capital, Jammu as the winter capital, and the Chenab flows through parts of the Jammu region.

Question 71 Unattempted

                    Match the following Microsoft Office applications with their primary uses:


List I (Application)List II (Primary Use)
i. MS Word1. Presentations
ii. MS Excel2. Word processing
iii. MS PowerPoint3. Spreadsheets and calculations


Choose the correct matching:                

A) i-3, ii-1, iii-2

B) i-1, ii-2, iii-3

C) i-2, ii-3, iii-1

D) i-2, ii-1, iii-3

Explanation:

MS Word is used for word processing, MS Excel for spreadsheets and calculations, and MS PowerPoint for creating slide-based presentations.

Question 72 Unattempted

                    Choose the correct meaning of the homonyms 'right' and 'write' as used in English.                

A) Right means to read, while write means to listen.

B) Both always mean to make a mark on paper.

C) Right means correct, while write means to form words using letters.

D) Both words have exactly the same meaning.

Explanation:

'Right' can mean correct or a direction, whereas 'write' means to form letters or words. They sound alike but have different spellings and meanings.

Question 73 Unattempted

                    In a moderately asymmetrical distribution, the mean and median are $$36$$ and $$34$$ respectively. Using empirical relations, find the mode of the distribution.                

A) $$32$$

B) $$38$$

C) $$34$$

D) $$30$$

Explanation:

The empirical formula connecting the measures of central tendency is: $$\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}$$. Substituting the given values: $$\text{Mode} = 3(34) - 2(36) = 102 - 72 = 30$$.

Question 74 Unattempted

                    The angle of elevation of the top of a tower from a point on the ground, which is $$30 \text{ m}$$ away from the foot of the tower, is $$60^\circ$$. Find the height of the tower.                

A) $$30\sqrt{3} \text{ m}$$

B) $$20\sqrt{3} \text{ m}$$

C) $$15\sqrt{3} \text{ m}$$

D) $$10\sqrt{3} \text{ m}$$

Explanation:

Let $$h$$ be the height of the tower. In the right-angled triangle formed, $$\tan 60^\circ = \frac{\text{Perpendicular}}{\text{Base}} = \frac{h}{30}$$. Since $$\tan 60^\circ = \sqrt{3}$$, we have $$\sqrt{3} = \frac{h}{30}$$. Therefore, $$h = 30\sqrt{3} \text{ m}$$.

Question 75 Unattempted

                    What is the primary function of Windows File Explorer?                

A) To manage files and folders

B) To increase internet speed automatically

C) To design presentations only

D) To create computer viruses

Explanation:

Windows File Explorer allows users to browse, organize, copy, move, rename, and delete files and folders.

Question 76 Unattempted

                    Read the passage and answer the question:

Ravi lived in a small village where books were difficult to find. Every evening, he visited the village library and read stories about explorers and scientists. Inspired by these stories, he began observing plants and birds around his home. Over time, his curiosity helped him develop a habit of learning something new every day.

What inspired Ravi to observe plants and birds?

A) A television programme

B) His school examinations

C) Advice from his neighbours

D) Stories about explorers and scientists

Explanation:

The passage states that Ravi was inspired by stories about explorers and scientists, which encouraged him to observe the plants and birds around his home.

Question 77 Unattempted

                    Which of the following is the safest practice while using e-banking services?                

A) Using the same password for every account

B) Sharing an OTP with a caller claiming to be a bank employee

C) Never sharing an OTP or PIN and verifying the official banking website

D) Clicking unknown banking links received by SMS

Explanation:

Never share your OTP, PIN, or password. Always verify the official banking website or application and avoid suspicious links to reduce the risk of phishing and financial fraud.

Question 78 Unattempted

                    From a point $$P$$, which is $$13 \text{ cm}$$ away from the centre of a circle, a tangent $$PT$$ of length $$12 \text{ cm}$$ is drawn to the circle. What is the radius of the circle?                

A) $$7 \text{ cm}$$

B) $$5 \text{ cm}$$

C) $$4 \text{ cm}$$

D) $$6 \text{ cm}$$

Explanation:

The radius at the point of contact is perpendicular to the tangent, forming a right-angled triangle where the distance from the centre to $$P$$ is the hypotenuse. Using Pythagoras theorem: $$r^2 + 12^2 = 13^2$$. Thus, $$r^2 + 144 = 169$$, which means $$r^2 = 25$$, so $$r = 5 \text{ cm}$$.

Question 79 Unattempted

                    In word building, which of the following words CANNOT be formed using the letters of the word 'COMPREHENSION'?                

A) PRISON

B) ONION

C) PENSION

D) PREACH

Explanation:

The word 'PREACH' requires the letter 'A', which is not present in the word 'COMPREHENSION'.

Question 80 Unattempted

                    Fill in the blank with the correct preposition: She is good _____ mathematics.                

A) in

B) for

C) on

D) at

Explanation:

The correct expression is 'good at'. Therefore, the sentence is: She is good at mathematics.

Question 81 Unattempted

                    Choose the correct one-word substitution for 'A person who writes poems'.                

A) Novelist

B) Author

C) Editor

D) Poet

Explanation:

A poet is a person who writes poems. A novelist primarily writes novels.

Question 82 Unattempted

                    The average weight of $$8$$ persons increases by $$2.5 \text{ kg}$$ when a new person comes in place of one of them weighing $$65 \text{ kg}$$. What is the weight of the new person?                

A) $$87.5 \text{ kg}$$

B) $$80 \text{ kg}$$

C) $$82.5 \text{ kg}$$

D) $$85 \text{ kg}$$

Explanation:

The total increase in weight is $$8 \times 2.5 \text{ kg} = 20 \text{ kg}$$. This increase is due to the heavier new person. Therefore, the weight of the new person = Weight of the replaced person + Total increase = $$65 \text{ kg} + 20 \text{ kg} = 85 \text{ kg}$$.

Question 83 Unattempted

                    Find the missing number in the analogy: $$6 : 222 :: 7 : ?$$                

A) $$210$$

B) $$350$$

C) $$336$$

D) $$343$$

Explanation:

The pattern is $$n : n^3 + n$$. For $$6$$, it's $$6^3 + 6 = 216 + 6 = 222$$. For $$7$$, it's $$7^3 + 7 = 343 + 7 = 350$$.

Question 84 Unattempted

                    Evaluate the trigonometric product: $$\tan 15^\circ \cdot \tan 25^\circ \cdot \tan 45^\circ \cdot \tan 65^\circ \cdot \tan 75^\circ$$                

A) $$1$$

B) $$-1$$

C) $$\sqrt{3}$$

D) $$0$$

Explanation:

Using complementary angles, $$\tan(90^\circ - \theta) = \cot \theta$$. Therefore, $$\tan 75^\circ = \cot 15^\circ$$ and $$\tan 65^\circ = \cot 25^\circ$$. The expression becomes $$\tan 15^\circ \cdot \tan 25^\circ \cdot 1 \cdot \cot 25^\circ \cdot \cot 15^\circ$$. Since $$\tan \theta \cdot \cot \theta = 1$$, grouping gives $$(\tan 15^\circ \cdot \cot 15^\circ) \cdot (\tan 25^\circ \cdot \cot 25^\circ) \cdot 1 = 1 \times 1 \times 1 = 1$$.

Question 85 Unattempted

                    A sum of $$Rs. 312$$ is divided among $$A, B$$, and $$C$$ in the ratio $$\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$$. What is the share of $$B$$?                

A) $$Rs. 104$$

B) $$Rs. 72$$

C) $$Rs. 96$$

D) $$Rs. 144$$

Explanation:

First, convert the fractional ratio into integers by multiplying by the LCM of $$2, 3, 4$$, which is $$12$$. The ratio becomes $$6 : 4 : 3$$. The sum of the ratio parts is $$6 + 4 + 3 = 13$$. The share of $$B$$ is $$\frac{4}{13} \times 312 = 4 \times 24 = Rs. 96$$.

Question 86 Unattempted

                    Change the following sentence into passive voice: 'The teacher praised the student.'                

A) The teacher was praised by the student.

B) The student praised the teacher.

C) The student is praised by the teacher.

D) The student was praised by the teacher.

Explanation:

The sentence is in the simple past tense. Its passive form is: 'The student was praised by the teacher.'

Question 87 Unattempted

                    In $$\Delta ABC$$, the bisectors of $$\angle B$$ and $$\angle C$$ meet at the incentre $$I$$. If $$\angle A = 70^\circ$$, what is the measure of $$\angle BIC$$?                

A) $$140^\circ$$

B) $$110^\circ$$

C) $$125^\circ$$

D) $$145^\circ$$

Explanation:

The angle at the incentre formed by the bisectors of two angles of a triangle is given by the formula $$\angle BIC = 90^\circ + \frac{\angle A}{2}$$. Substituting $$\angle A = 70^\circ$$, we get $$90^\circ + \frac{70^\circ}{2} = 90^\circ + 35^\circ = 125^\circ$$.

Question 88 Unattempted

                    Match the following cyber threats with their descriptions:


List I (Threat)List II (Description)
i. Virus1. Malicious software disguised as legitimate software
ii. Worm2. Malware that attaches itself to a host file or program
iii. Trojan Horse3. Malware that can self-replicate and spread across networks


Choose the correct option:                

A) i-2, ii-1, iii-3

B) i-3, ii-1, iii-2

C) i-2, ii-3, iii-1

D) i-1, ii-2, iii-3

Explanation:

A virus typically attaches itself to a host file or program, a worm can self-replicate and spread across networks, and a Trojan disguises itself as legitimate or useful software.

Question 89 Unattempted

                    Select the odd word out in this semantic classification:                

A) Guitar

B) Flute

C) Sitar

D) Violin

Explanation:

The flute is a wind instrument, whereas the violin, guitar, and sitar are all stringed instruments.

Question 90 Unattempted

                    Which vitamin is produced in the human skin when it is exposed to sunlight?                

A) Vitamin C

B) Vitamin A

C) Vitamin D

D) Vitamin B12

Explanation:

Exposure to ultraviolet B (UVB) rays from sunlight enables the skin to produce vitamin D, which helps maintain healthy bones and supports calcium absorption.

Question 91 Unattempted

                    Which of the following classes is best represented by a Venn diagram consisting of three intersecting circles?                

A) Fathers, Males, Children

B) Weeks, Months, Years

C) Doctors, Human Beings, Married People

D) Singers, Dancers, Women

Explanation:

Some singers can be dancers, some dancers can be women, and some individuals can be all three, making three intersecting circles the perfect representation.

Question 92 Unattempted

                    Change the following sentence into indirect speech: He said, "I am tired."                

A) He said that he was tired.

B) He said that he is tiring.

C) He said that I am tired.

D) He says that he was tired.

Explanation:

In indirect speech, 'I' changes to 'he' and the present tense 'am' generally changes to the past tense 'was' when the reporting verb is in the past.

Question 93 Unattempted

                    Pointing to a photograph, a man says, "She is the daughter of my grandfather's only son." How is the woman in the photograph related to the man?                

A) Sister

B) Aunt

C) Mother

D) Cousin

Explanation:

The man's "grandfather's only son" is his father. The daughter of his father is his sister.

Question 94 Unattempted

                    The sum of the ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?                

A) $$4$$ years

B) $$12$$ years

C) $$10$$ years

D) $$8$$ years

Explanation:

Let the youngest be $$x$$. The ages are $$x$$, $$x+3$$, $$x+6$$, $$x+9$$, $$x+12$$. Sum = $$5x + 30 = 50$$. Therefore, $$5x = 20$$, which gives $$x = 4$$.

Question 95 Unattempted

                    In an address and date matching task, select the exact match for the reference string: "15-Aug-1947 / Sector-B / Block-9"                

A) 15-Aug-1974 / Sector-B / Block-9

B) 15-Aug-1947 / Sector-B / Block-9

C) 15-Aug-1947 / Sector-B / Block-6

D) 15-Aug-1947 / Sector-b / Block-9

Explanation:

Option 'b' matches the reference string precisely character for character, maintaining exact capitalization and numerals.

Question 96 Unattempted

                    Which of the following is a non-volatile storage device?                

A) CPU cache

B) SSD (Solid-State Drive)

C) RAM

D) Processor register

Explanation:

An SSD is a non-volatile storage device that retains data even when power is switched off. RAM, cache memory, and processor registers are volatile.

Question 97 Unattempted

                    Choose the correct synonym of 'Abundant'.                

A) Plentiful

B) Rare

C) Scarce

D) Limited

Explanation:

Abundant means available in large quantities. Plentiful is its synonym.

Question 98 Unattempted

                    Evaluate the expression: $$\frac{0.8 \times 0.8 \times 0.8 - 0.5 \times 0.5 \times 0.5}{0.8 \times 0.8 + 0.8 \times 0.5 + 0.5 \times 0.5}$$                

A) $$0.1$$

B) $$0.4$$

C) $$0.2$$

D) $$0.3$$

Explanation:

The expression is in the form of $$\frac{a^3 - b^3}{a^2 + ab + b^2}$$. The algebraic identity for this is $$a - b$$. Substituting $$a = 0.8$$ and $$b = 0.5$$, we get $$0.8 - 0.5 = 0.3$$.

Question 99 Unattempted

                    In a coding and decoding system based on numerical operations, if 'A' = $$1$$, and 'BAT' = $$23$$, what is the value of 'CAT'?                

A) $$22$$

B) $$26$$

C) $$25$$

D) $$24$$

Explanation:

The numerical values of the letters are added together. B(2) + A(1) + T(20) = 23. Therefore, C(3) + A(1) + T(20) = 24.

Question 100 Unattempted

                    Which networking device is commonly used to connect different networks and forward data between them?                

A) Plotter

B) Router

C) Keyboard

D) Scanner

Explanation:

A router connects different networks and forwards data packets between them using network addressing information.

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Detailed Solutions

List I (Dance)	List II (State)
i. Kathak	1. Kerala
ii. Kathakali	2. Uttar Pradesh
iii. Bharatanatyam	3. Tamil Nadu
iv. Odissi	4. Odisha

List I (Instrument)	List II (Use)
i. Barometer	1. Humidity
ii. Thermometer	2. Atmospheric pressure
iii. Hygrometer	3. Temperature
iv. Seismograph	4. Earthquake vibrations

List I (Day)	List II (Date)
i. World Environment Day	1. 22 April
ii. Earth Day	2. 5 June
iii. International Yoga Day	3. 21 June
iv. National Science Day (India)	4. 28 February

List I (Trophy)	List II (Sport)
i. Ranji Trophy	1. Football
ii. Santosh Trophy	2. Hockey
iii. Thomas Cup	3. Cricket
iv. Sultan Azlan Shah Cup	4. Badminton

List I (National Park)	List II (State/UT)
i. Dachigam National Park	1. Assam
ii. Kaziranga National Park	2. Jammu and Kashmir
iii. Jim Corbett National Park	3. Uttarakhand
iv. Gir National Park	4. Gujarat

List I (Device)	List II (Function)
i. Keyboard	1. Produces hard copies
ii. Scanner	2. Enters text and commands
iii. Printer	3. Converts documents into digital images
iv. Monitor	4. Displays visual output

List I (Application)	List II (Primary Use)
i. MS Word	1. Presentations
ii. MS Excel	2. Word processing
iii. MS PowerPoint	3. Spreadsheets and calculations

List I (Threat)	List II (Description)
i. Virus	1. Malicious software disguised as legitimate software
ii. Worm	2. Malware that attaches itself to a host file or program
iii. Trojan Horse	3. Malware that can self-replicate and spread across networks