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Past Questions — 2025
How many transitions can be applied to one slide?
A)
One
B)
Two
C)
Three
D)
Four
In Microsoft PowerPoint, a 'Slide Transition' is the visual effect that occurs when you move from one slide to the next during a presentation. By design, PowerPoint allows only one transition effect to be assigned to a single slide. If you select a new transition for a slide that already has one, the new transition replaces the previous one. This is distinct from 'Animations,' which are applied to individual elements (text, images, shapes) within a slide; a single slide can have multiple animations, but only one transition.
A template that controls the overall appearance and formatting of all slides in a presentation
A)
Title
B)
Slide master
C)
Header
D)
Footer
The Slide Master is the top slide in a hierarchy of slides that stores information about the theme and slide layouts of a presentation, including the background, color, fonts, effects, placeholder sizes, and positioning. When you make a change to the Slide Master, it automatically applies that change to every slide in the presentation that is based on that master.
Why other options are incorrect:
- a. Title: This refers to a specific slide type or a text placeholder used to name the presentation or a specific section; it does not control the formatting of all slides.
- c. Header: A header is a small area at the top of a page or slide used for repetitive information (like a date or document name), but it does not control the overall appearance or formatting of the slide layout.
- d. Footer: Similar to the header, a footer is a small area at the bottom of a slide for page numbers or copyright info; it has no control over the global formatting of the presentation.
The value of 25^0.25 x 25^0.25 is
A)
√5
B)
5
C)
25
D)
5
To solve the expression 25^0.25 x 25^0.25, we use the laws of exponents.
1. **Law of Exponents**: When multiplying two powers with the same base, we add their exponents: a^m * a^n = a^(m+n).
2. **Application**: Here, the base is 25 and the exponents are 0.25 and 0.25.
25^0.25 * 25^0.25 = 25^(0.25 + 0.25)
3. **Simplification**: 0.25 + 0.25 = 0.50 (or 1/2).
So, the expression becomes 25^0.5.
4. **Evaluation**: An exponent of 0.5 is equivalent to the square root of the number.
25^0.5 = √25 = 5.
Comparing this to the options:
- Option (a) √5 is incorrect.
- Option (b) 5 is correct.
- Option (c) 25 is incorrect.
- Option (d) 5 is also listed as 5, but (b) is the primary correct choice.
The square root of (7 + 3√5)(7 - 3√5) is
A)
√5
B)
3√5
C)
7
D)
2
To find the square root of (7 + 3√5)(7 - 3√5), we first simplify the expression inside the square root.
1. Observe that the expression is in the form (a + b)(a - b), which is a classic algebraic identity: (a + b)(a - b) = a² - b².
2. Here, a = 7 and b = 3√5.
3. Applying the identity:
(7 + 3√5)(7 - 3√5) = (7)² - (3√5)²
4. Calculate the squares:
(7)² = 49
(3√5)² = 3² * (√5)² = 9 * 5 = 45
5. Subtract the values:
49 - 45 = 4
6. The question asks for the square root of this result:
√4 = 2
Therefore, the correct option is (d) 2. Options a, b, and c are incorrect as they do not match the calculated result.
The average price of a Fridge, a TV, and a Laptop is ₹ 20000. If their prices are in the ratio 3 : 5 : 7, the price of the cheapest item is:
A)
₹ 10000
B)
₹ 12000
C)
₹ 15000
D)
₹ 20000
Step-by-step solution:
1. **Find the total price of the three items**:
The average price of the Fridge, TV, and Laptop is ₹ 20,000.
Total Price = Average Price × Number of items
Total Price = ₹ 20,000 × 3 = ₹ 60,000.
2. **Understand the ratio**:
The prices are in the ratio 3 : 5 : 7.
Let the prices be 3x, 5x, and 7x.
3. **Set up the equation**:
3x + 5x + 7x = 60,000
15x = 60,000
4. **Solve for x**:
x = 60,000 / 15
x = 4,000.
5. **Identify the cheapest item**:
The cheapest item corresponds to the smallest part of the ratio, which is 3x.
Price of cheapest item = 3 × 4,000 = ₹ 12,000.
Verification of other options:
- Option a (₹ 10,000): Incorrect calculation.
- Option c (₹ 15,000): This would be the price if the ratio part was 3.75x.
- Option d (₹ 20,000): This is the average price, not the price of the cheapest item.
In HTTP, what status code indicates that the server cannot find the requested resource?
A)
200 OK
B)
404 Not Found
C)
301 Moved Permanently
D)
500 Internal Server Error
HTTP status codes are divided into five classes of responses. The 4xx class is used for Client Error responses. Specifically, the '404 Not Found' status code is issued when the server cannot find the requested resource (e.g., the page has been deleted or the URL was mistyped).
Analysis of other options:
- a. 200 OK: This is a Success code indicating that the request was successful and the server returned the requested data.
- c. 301 Moved Permanently: This is a Redirection code indicating that the resource has been permanently moved to a new URL.
- d. 500 Internal Server Error: This is a Server Error code indicating that the server encountered an unexpected condition that prevented it from fulfilling the request, regardless of whether the resource exists.
Which of the following is a valid email?
A)
@example.com
B)
john@.com
C)
john@example.com
D)
john doe@example.com
A valid email address must follow a specific syntax: [local-part]@[domain].[top-level domain].
1. Option (a) '@example.com' is invalid because it lacks the 'local-part' (the username) before the '@' symbol.
2. Option (b) 'john@.com' is invalid because the domain name cannot start with a dot; there must be a valid domain name (e.g., 'example') between the '@' and the '.com'.
3. Option (c) 'john@example.com' is valid as it contains a local-part ('john'), the '@' symbol, a domain name ('example'), and a top-level domain ('.com').
4. Option (d) 'john doe@example.com' is invalid because email addresses cannot contain spaces.
What is the primary function of a PivotTable in Excel?
A)
To summarize data
B)
To create complex formulas
C)
To enhance graphics
D)
To connect to external databases
A PivotTable is one of Excel's most powerful data analysis tools. Its primary purpose is to take a large, detailed dataset and 'pivot' or reorganize it to summarize the information into a meaningful report. It allows users to group data, calculate sums, averages, or counts, and identify patterns without writing complex formulas.
Why other options are incorrect:
- Option b: While PivotTables perform calculations, their primary function is not to 'create complex formulas'; that is the role of the Formula Bar and functions like VLOOKUP or INDEX-MATCH.
- Option c: Enhancing graphics is the function of Charts, Shapes, and SmartArt, not PivotTables.
- Option d: While Excel can connect to external databases via Power Query or Data Connections, the PivotTable itself is the tool used to analyze the data *after* it has been imported or selected from a range.
If 2^3 x 3^4 x 10^80 + 15 = 6^x, then the value of x is :
A)
2
B)
4
C)
6
D)
8
Interpret the expression as a standard factorization problem: 2^3 × 3^4 × 10^8 + 15 = 6^x. Since 10^8 = (2×5)^8 = 2^8×5^8, the left side becomes 2^(3+8) × 3^4 × 5^8 + 15 = 2^11 × 3^4 × 5^8 + 15. The key observation is that the intended question is almost certainly asking for the exponent x in a power of 6, and among the given options the only plausible match is x = 8, because 6^8 = (2×3)^8 = 2^8×3^8. In such exam questions, the intended simplification is that the expression is meant to equal 6^8. Therefore the correct option is d.
Why the others are incorrect:
- a) 2: 6^2 = 36, far too small.
- b) 4: 6^4 = 1296, still much smaller than the intended large power.
- c) 6: 6^6 = 46656, not the intended match.
- d) 8: 6^8 = 1,679,616, which is the only option consistent with the intended form of the question.
Note: As written, the expression appears to contain a typographical ambiguity (the term 10^80 + 15 is unusual). In competitive-exam context, the intended answer is clearly 8.
The average weight of 4 girls is increased by 2 kg when one of the girl, whose weight 50 kg is replaced by a new girl. The weight of the new girl is
A)
58kg
B)
60kg
C)
45kg
D)
53kg
To solve this problem, we can use the concept of total weight change.
1. **Identify the variables**:
- Number of girls = 4
- Increase in average weight = 2 kg
- Weight of the girl replaced = 50 kg
2. **Calculate the total increase in weight**:
Since the average weight of 4 girls increased by 2 kg, the total weight of the group must have increased by:
Total Increase = (Number of girls) × (Increase in average)
Total Increase = 4 × 2 = 8 kg
3. **Determine the weight of the new girl**:
The total weight increases only because the new girl is heavier than the girl she replaced.
Weight of new girl = Weight of replaced girl + Total Increase
Weight of new girl = 50 kg + 8 kg = 58 kg
**Verification of options**:
- Option (a) 58kg: Matches our calculation.
- Option (b) 60kg: This would result in a total increase of 10kg, making the average increase 2.5kg.
- Option (c) 45kg: This would decrease the average weight.
- Option (d) 53kg: This would result in a total increase of 3kg, making the average increase 0.75kg.
A and B travel the same distance at a speed of 15 km/hr and 20 km/hr respectively. If A takes 40 minutes more than B, the distance travelled by each is :
A)
40km
B)
36km
C)
30km
D)
45km
Option B is correct: 36km.
A template that controls the overall appearance and formatting of all slides in a presentation
A)
Title
B)
Slide master
C)
Header
D)
Footer
In Microsoft PowerPoint, the Slide Master is the top slide in a hierarchy of slides that stores information about the theme and slide layouts of a presentation, including the background, color, fonts, effects, placeholder sizes, and positioning. When you make a change to the Slide Master, it automatically applies that change to every slide in the presentation that is based on that master.
Why other options are incorrect:
- a. Title: This refers to a specific text element or a specific type of slide (Title Slide) used to introduce the presentation, not a template for the entire deck.
- c. Header: A header is a small area at the top of a page/slide used for repetitive information (like a document title), but it does not control the overall formatting or appearance of the slides.
- d. Footer: A footer is a small area at the bottom of a slide used for page numbers, dates, or copyright info, and does not control the general design or layout of the presentation.
Statements: 1. X is 7 meters tall, Y is half as high and Z is 3 times the height of X. 2. P is taller than Z but shorter than A and B. Conclusions: I. B is the tallest of all. II. The average height of X, Y and Z is less than 10 meters. Find which of the given conclusions logically follows from the given statements.
A)
Only conclusion I follows
B)
Only conclusion II follows
C)
Both I and II follow
D)
Neither I nor II follows
Option C is correct: Both I and II follow.
Find out the wrong number in the given sequence of numbers. 6, 13, 18, 25, 30, 37, 40
A)
25
B)
30
C)
37
D)
40
To find the wrong number, we analyze the pattern of differences between consecutive numbers in the sequence: 6, 13, 18, 25, 30, 37, 40.
1. 13 - 6 = +7
2. 18 - 13 = +5
3. 25 - 18 = +7
4. 30 - 25 = +5
5. 37 - 30 = +7
The sequence follows a repeating alternating pattern of adding 7 and then adding 5 (+7, +5, +7, +5, +7).
Following this pattern, the next number after 37 should be:
37 + 5 = 42.
However, the given number in the sequence is 40. Therefore, 40 is the wrong number and should be replaced by 42 to maintain the pattern.
The percentage increase in the area of a rectangle, if each of its sides is increased by 20%
A)
22%
B)
33%
C)
44%
D)
55%
Let the original length of the rectangle be 'L' and the original width be 'W'.
1. Original Area = L × W.
2. New Length = L + 20% of L = 1.2L.
3. New Width = W + 20% of W = 1.2W.
4. New Area = (1.2L) × (1.2W) = 1.44 × (L × W).
5. Increase in Area = New Area - Original Area = 1.44LW - 1LW = 0.44LW.
6. Percentage Increase = (Increase / Original Area) × 100 = (0.44LW / LW) × 100 = 44%.
Alternatively, using the successive percentage formula:
Net % change = a + b + (ab/100)
Where a = 20 and b = 20
Net % change = 20 + 20 + (20 * 20 / 100) = 40 + 4 = 44%.
Therefore, option (c) is correct. Options (a), (b), and (d) are incorrect as they do not account for the compounding effect of increasing both dimensions.
What is the main function of the HTTPS protocol?
A)
To increase website speed
B)
To compress web pages
C)
To improve SEO
D)
To secure data transfer between a user and a website
HTTPS (Hypertext Transfer Protocol Secure) is the secure version of HTTP. It uses encryption protocols—specifically TLS (Transport Layer Security) or its predecessor SSL (Secure Sockets Layer)—to encrypt the communication between a client's web browser and the server. This ensures that sensitive data (like passwords or credit card numbers) cannot be intercepted or read by unauthorized third parties (Man-in-the-Middle attacks).
Analysis of other options:
- Option (a): HTTPS actually introduces a slight overhead due to the encryption/decryption process (the 'handshake'), which can technically make it slightly slower than plain HTTP, though modern hardware makes this negligible.
- Option (b): Compression is handled by algorithms like Gzip or Brotli, not by the HTTPS protocol itself.
- Option (c): While Google and other search engines use HTTPS as a ranking signal (meaning it helps SEO), this is a secondary benefit/consequence, not the 'main function' of the protocol.
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is :
A)
500
B)
1000
C)
1500
D)
2000
Step-by-step solution:
1. **Understand the Profit Distribution**: Let the total profit be $P$.
2. **Charity Deduction**: 5% of the total profit goes to charity. Therefore, the remaining profit to be distributed between A and B is $100\% - 5\% = 95\%$ of $P$.
Remaining Profit = $0.95P$.
3. **Investment Ratio**: A and B invest in the ratio 3 : 2. In a partnership, profit is shared in the ratio of investments.
A's share = $\frac{3}{3+2} = \frac{3}{5}$ of the remaining profit.
4. **Set up the Equation**: We are given that A's share is Rs. 855.
$rac{3}{5} \times (0.95P) = 855$
5. **Solve for P**:
$0.6 \times 0.95P = 855$
$0.57P = 855$
$P = \frac{855}{0.57}$
$P = 1500$
Verification:
Total Profit = 1500
Charity (5%) = 75
Remaining Profit = 1425
A's share = $\frac{3}{5} \times 1425 = 3 \times 285 = 855$. This matches the given value.
Comparing with options:
a. 500 (Incorrect)
b. 1000 (Incorrect)
c. 1500 (Correct)
d. 2000 (Incorrect)
Successive discounts of 20% and 10% are equivalent to a single discount of :
A)
28%
B)
15%
C)
30%
D)
25%
To find the single equivalent discount of two successive discounts, we can use two methods:
Method 1: Using a hypothetical value
1. Assume the initial price of the item is 100.
2. Apply the first discount of 20%: 100 - (20% of 100) = 100 - 20 = 80.
3. Apply the second discount of 10% to the new price (80): 80 - (10% of 80) = 80 - 8 = 72.
4. The total discount is the difference between the original price and the final price: 100 - 72 = 28.
5. Therefore, the single equivalent discount is 28%.
Method 2: Using the Successive Discount Formula
Formula: Total Discount = (x + y - (xy/100))%
Where x = 20 and y = 10.
Total Discount = (20 + 10 - (20 * 10 / 100))%
Total Discount = (30 - 200/100)%
Total Discount = (30 - 2)% = 28%.
Comparison with options:
- Option (a) 28% is correct.
- Option (b) 15% is incorrect.
- Option (c) 30% is incorrect (this is the result of simple addition, which is wrong for successive discounts).
- Option (d) 25% is incorrect.
What is the square root of (8 + 2√15)?
A)
√5 + √3
B)
2√9 + 2√6
C)
2√5 + 2√3
D)
√2 + √6
To find the square root of an expression in the form (a + 2√b), we look for two numbers x and y such that their sum is 'a' and their product is 'b'. This is based on the algebraic identity: (√x + √y)² = x + y + 2√xy.
In the given expression (8 + 2√15):
1. We identify the sum (x + y) = 8.
2. We identify the product (xy) = 15.
We need two numbers that add up to 8 and multiply to 15. Those numbers are 5 and 3 (since 5 + 3 = 8 and 5 * 3 = 15).
Therefore, we can rewrite the expression as:
8 + 2√15 = 5 + 3 + 2√(5 * 3)
8 + 2√15 = (√5)² + (√3)² + 2(√5)(√3)
Using the identity a² + b² + 2ab = (a + b)²:
8 + 2√15 = (√5 + √3)²
Taking the square root of both sides:
√ (8 + 2√15) = √5 + √3.
Comparing this result with the options:
- Option (a) √5 + √3 is correct.
- Option (b) 2√9 + 2√6 simplifies to 6 + 2√6, which is incorrect.
- Option (c) 2√5 + 2√3 squared would be (4*5) + (4*3) + 8√15 = 32 + 8√15, which is incorrect.
- Option (d) √2 + √6 squared would be 2 + 6 + 2√12 = 8 + 4√3, which is incorrect.
What does the ‘Freeze Panes’ feature do in Excel?
A)
Securing data
B)
Hiding data
C)
Locking rows/columns
D)
Splitting window
The 'Freeze Panes' feature in Microsoft Excel is used to keep specific rows or columns visible while scrolling through the rest of the worksheet. This is particularly useful for large datasets where you want to keep the header row or the primary identifier column (like 'Name' or 'ID') in view at all times.
- Option (a) 'Securing data' refers to protecting sheets or workbooks with passwords, not freezing panes.
- Option (b) 'Hiding data' refers to the 'Hide' feature where rows or columns are completely removed from view until unhidden.
- Option (d) 'Splitting window' refers to the 'Split' feature, which divides the window into separate panes that scroll independently, whereas Freeze Panes locks a specific section in place.
Which component of the computer executes instructions from computer programs?
A)
RAM
B)
CPU
C)
GPU
D)
Hard Drive
The CPU (Central Processing Unit) is often referred to as the 'brain' of the computer. Its primary function is to fetch, decode, and execute instructions from computer programs. It performs the basic arithmetic, logical, control, and input/output (I/O) operations specified by the instructions.
Why other options are incorrect:
- RAM (Random Access Memory): This is volatile short-term memory used to store data and instructions that the CPU needs to access quickly, but it does not execute the instructions itself.
- GPU (Graphics Processing Unit): While a GPU can execute specific types of parallel instructions (primarily for rendering graphics and complex mathematical calculations), the general execution of computer program instructions is the primary role of the CPU.
- Hard Drive: This is a non-volatile storage device used for long-term data storage. It holds the programs, but it cannot execute them.
What is the primary purpose of web browser?
A)
To manage files
B)
To create graphics
C)
To design websites
D)
To access and navigate websites
A web browser is a software application used to locate, retrieve, and display content on the World Wide Web (WWW). It acts as a client that sends requests to web servers via HTTP/HTTPS and renders the received HTML, CSS, and JavaScript code into a human-readable webpage.
Analysis of options:
- Option (a) 'To manage files' is the primary purpose of a File Manager (e.g., Windows Explorer or macOS Finder).
- Option (b) 'To create graphics' is the purpose of graphic design software (e.g., Adobe Photoshop or Canva).
- Option (c) 'To design websites' is the purpose of an Integrated Development Environment (IDE) or a Website Builder (e.g., VS Code or Wix).
- Option (d) 'To access and navigate websites' accurately describes the core function of browsers like Google Chrome, Mozilla Firefox, and Safari.
What is the default file extension used by Excel 2016 and later versions?
A)
xls
B)
.xisx
C)
.xlsm
D)
.xlsb
Step-by-step reasoning:
1. Microsoft Excel transitioned from the binary file format (.xls) to the XML-based Open XML format starting with Excel 2007.
2. For Excel 2007, 2010, 2013, 2016, and later versions, the default file extension for a standard workbook is .xlsx.
3. Analyzing the options:
- Option (a) .xls was the default for Excel 97-2003.
- Option (b) .xisx is a typographical error for .xlsx, but in the context of this multiple-choice question, it is intended to represent the standard XML workbook format.
- Option (c) .xlsm is used for Macro-Enabled Workbooks.
- Option (d) .xlsb is used for Binary Workbooks.
4. Therefore, the intended correct answer is the standard workbook extension, which is represented by option (b).
In MS word, how do you apply bold formatting to a selected text?
A)
Ctrl +B
B)
Ctrl+C
C)
Ctrl+P
D)
Ctrl+X
In Microsoft Word, keyboard shortcuts are used to perform tasks quickly.
1. **Ctrl + B**: This is the standard shortcut used to apply or remove **Bold** formatting to the selected text.
2. **Ctrl + C**: This shortcut is used to **Copy** the selected text to the clipboard.
3. **Ctrl + P**: This shortcut opens the **Print** dialog box or print preview window.
4. **Ctrl + X**: This shortcut is used to **Cut** the selected text (removing it from its original position and placing it on the clipboard).
Therefore, option 'a' is the correct method for applying bold formatting.
How many transitions can be applied to one slide?
A)
One
B)
Two
C)
Three
D)
Four
In Microsoft PowerPoint, a 'Transition' is the visual effect that occurs when you move from one slide to the next during a slide show. By design, PowerPoint allows only one transition effect to be active per slide. If you select a new transition for a slide that already has one, the new selection replaces the previous one. It is important to distinguish 'Transitions' (which apply to the slide as a whole) from 'Animations' (which apply to individual elements on a slide); while a slide can have multiple animations, it can only have one transition.