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Past Questions — 2025
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%
Step-by-step solution:
1. Let the original length of the rectangle be 'L' and the original width be 'W'.
2. The original area (A1) = L × W.
3. Each side is increased by 20%. Therefore, the new length (L') = L + 0.20L = 1.2L, and the new width (W') = W + 0.20W = 1.2W.
4. The new area (A2) = L' × W' = (1.2L) × (1.2W) = 1.44 × (L × W) = 1.44A1.
5. The increase in area = A2 - A1 = 1.44A1 - A1 = 0.44A1.
6. The percentage increase = (Increase / Original Area) × 100 = (0.44A1 / A1) × 100 = 44%.
Alternative Method (Successive Percentage Formula):
When two dimensions of a product are increased by x% and y%, the net percentage increase is given by: x + y + (xy/100).
Here, x = 20 and y = 20.
Net increase = 20 + 20 + (20 × 20 / 100) = 40 + (400 / 100) = 40 + 4 = 44%.
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
A)
2500
B)
2700
C)
2900
D)
3100
Step-by-step solution:
1. **Calculate the total number of valid votes**:
Total votes = 7500.
Invalid votes = 20% of 7500 = (20/100) * 7500 = 1500.
Valid votes = Total votes - Invalid votes = 7500 - 1500 = 6000.
2. **Determine the percentage of valid votes for the other candidate**:
Candidate 1 got 55% of the valid votes.
Therefore, Candidate 2 (the other candidate) got (100% - 55%) = 45% of the valid votes.
3. **Calculate the number of valid votes for the other candidate**:
Number of votes = 45% of 6000
= (45/100) * 6000
= 45 * 60
= 2700.
Conclusion: The other candidate received 2700 valid votes. Option (b) is correct. Options (a), (c), and (d) are incorrect as they do not match the calculated result.
A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.
A)
360, 160, 200
B)
160, 360, 200
C)
200, 360, 160
D)
200, 160, 300
Step-by-step solution:
1. **Identify the given data**:
- Ratio of coins (50P : 25P : 10P) = 5 : 9 : 4
- Total amount = Rs. 206
2. **Set up the variables**:
Let the number of coins be 5x, 9x, and 4x respectively.
3. **Convert the value of coins into a common unit (Rupees)**:
- Value of 50P coins = 5x * 0.50 = 2.5x
- Value of 25P coins = 9x * 0.25 = 2.25x
- Value of 10P coins = 4x * 0.10 = 0.4x
4. **Formulate the equation based on the total amount**:
2.5x + 2.25x + 0.4x = 206
5.15x = 206
5. **Solve for x**:
x = 206 / 5.15
x = 40
6. **Calculate the number of coins for each type**:
- 50P coins = 5 * 40 = 200
- 25P coins = 9 * 40 = 360
- 10P coins = 4 * 40 = 160
7. **Verification**:
(200 * 0.50) + (360 * 0.25) + (160 * 0.10) = 100 + 90 + 16 = Rs. 206. The calculation is correct.
Comparing this result to the options:
Option (a) 360, 160, 200 is incorrect.
Option (b) 160, 360, 200 is incorrect.
Option (c) 200, 360, 160 matches our result.
Option (d) 200, 160, 300 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 the header row or the first few identifying columns need to remain in view to provide context for the data being analyzed.
- Option (a) 'Securing data' refers to protecting sheets or workbooks with passwords, not freezing panes.
- Option (b) 'Hiding data' refers to the 'Hide' feature used to remove rows or columns from view entirely.
- Option (d) 'Splitting window' refers to the 'Split' feature, which divides the window into separate scrollable areas, whereas Freeze Panes locks a specific section in place.
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 section; it does not control the formatting of all slides.
- c. Header: This is a section at the top of a page (more common in Word) or a specific area for notes/handouts in PowerPoint, but it does not control the overall appearance of the slides.
- d. Footer: This is a small area at the bottom of a slide used for page numbers, dates, or copyright info; while it can be managed via the Slide Master, it is a component, not the controlling template itself.
A sum of money on compound interest amounts to ₹ 29040 in 3 years and ₹ 19360 in 2 years. The rate of interest per annum is :
A)
50%
B)
10%
C)
20%
D)
5%
Option A is correct: 50%.
The ratio of a boys’s and a girl’s present age is 9 : 10. After 4 years, the ratio of their ages become 11 : 12. What is the girl’s present age?
A)
18 years
B)
19 years
C)
20 years
D)
21 years
Step-by-step solution:
1. **Define the present ages**: Let the present age of the boy be $9x$ and the present age of the girl be $10x$, based on the given ratio 9:10.
2. **Set up the equation for the future ages**: After 4 years, the boy's age will be $9x + 4$ and the girl's age will be $10x + 4$. According to the problem, this new ratio is 11:12.
$$\frac{9x + 4}{10x + 4} = \frac{11}{12}$$
3. **Solve for x**: Cross-multiply the equation:
$12(9x + 4) = 11(10x + 4)$
$108x + 48 = 110x + 44$
$48 - 44 = 110x - 108x$
$4 = 2x$
$x = 2$
4. **Calculate the girl's present age**: The girl's present age is $10x$.
$10 \times 2 = 20$ years.
Verification:
- Boy's present age: $9 \times 2 = 18$
- Girl's present age: $10 \times 2 = 20$
- After 4 years: Boy is 22, Girl is 24.
- Ratio after 4 years: $22:24 = 11:12$. This matches the given condition.
Therefore, option (c) is correct. Options (a), (b), and (d) are incorrect as they do not satisfy the ratio conditions.
Insert the missing number. 7, 26, 63, 124, 215, 342, (....)
A)
391
B)
421
C)
481
D)
511
To solve this number series, we look for a mathematical pattern relating the numbers. By observing the numbers, we can see that each term is very close to a perfect cube (n³).
Let's analyze the sequence:
1. 2³ - 1 = 8 - 1 = 7
2. 3³ - 1 = 27 - 1 = 26
3. 4³ - 1 = 64 - 1 = 63
4. 5³ - 1 = 125 - 1 = 124
5. 6³ - 1 = 216 - 1 = 215
6. 7³ - 1 = 343 - 1 = 342
Following this pattern (n³ - 1), the next number in the sequence should be based on the next integer, which is 8:
7. 8³ - 1 = 512 - 1 = 511
Comparing this result to the options:
a. 391 (Incorrect)
b. 421 (Incorrect)
c. 481 (Incorrect)
d. 511 (Correct)
In MS-Word, AutoCorrect is a feature that automatically correct as you type.
A)
Incorrect sentence
B)
Short, Repetitive
C)
Spelling mistake
D)
Sentences
The AutoCorrect feature in Microsoft Word is designed to automatically detect and correct common typing errors, specifically spelling mistakes and capitalization errors, in real-time as the user types. For example, if a user types 'teh', AutoCorrect automatically changes it to 'the'.
Analysis of options:
- Option (a) 'Incorrect sentence': AutoCorrect does not typically rewrite entire sentences for grammatical correctness; that is the role of the Grammar Checker.
- Option (b) 'Short, Repetitive': While AutoCorrect can be used to create shortcuts for repetitive text (AutoText), the primary definition of the feature as described in the prompt ('automatically correct as you type') refers to fixing errors.
- Option (c) 'Spelling mistake': This is the primary function of AutoCorrect—fixing common misspellings instantly.
- Option (d) 'Sentences': AutoCorrect does not 'correct sentences' as a whole, but rather individual words or characters within them.
A man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. The distance travelled on bicycle is :
A)
40km
B)
36km
C)
30km
D)
45km
Let the time travelled on the bicycle be 't' hours. Since the total time of travel is 9 hours, the time travelled on foot must be (9 - t) hours.
We know that Distance = Speed × Time.
1. Distance travelled on bicycle = 9 km/hr × t = 9t km
2. Distance travelled on foot = 4 km/hr × (9 - t) = (36 - 4t) km
The total distance travelled is given as 61 km. Therefore:
9t + (36 - 4t) = 61
5t + 36 = 61
5t = 61 - 36
5t = 25
t = 5 hours
Now, we calculate the distance travelled on the bicycle:
Distance = Speed × Time = 9 km/hr × 5 hours = 45 km.
Verification:
Distance on foot = 4 km/hr × (9 - 5) = 4 × 4 = 16 km.
Total distance = 45 km + 16 km = 61 km. This matches the question statement.
Comparing with options:
a. 40km (Incorrect)
b. 36km (Incorrect)
c. 30km (Incorrect)
d. 45km (Correct)
Today is Monday. After 61 days, it will be :
A)
Tuesday
B)
Monday
C)
Sunday
D)
Saturday
To find the day of the week after a specific number of days, we use the concept of 'odd days' based on a 7-day weekly cycle.
1. **Identify the total days:** The question asks for the day after 61 days.
2. **Calculate the remainder:** Since the week repeats every 7 days, we divide 61 by 7 to find the number of full weeks and the remaining odd days.
61 ÷ 7 = 8 weeks and 5 days (because 7 × 8 = 56, and 61 - 56 = 5).
3. **Apply the remainder to the current day:** The 8 full weeks will bring us back to Monday. We then count 5 days forward from Monday:
- Day 1: Tuesday
- Day 2: Wednesday
- Day 3: Thursday
- Day 4: Friday
- Day 5: Saturday
Therefore, after 61 days, it will be Saturday. Options a, b, and c are incorrect because they do not correspond to the 5th day following Monday.
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. 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, they are not used to 'create' complex formulas; that is the role of the Formula Bar and functions like VLOOKUP, INDEX/MATCH, or nested IF statements.
- 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.
The following pie-chart shows the percentages distribution of the expenditure incurred in constructing a building. What is the central angle of the sector corresponding to the expenditure incurred on cement?
A)
60°
B)
62°
C)
70°
D)
72°
In a pie chart, the full circle represents 360°. So the central angle for any sector is:
Central angle = (Percentage share / 100) × 360°
From the pie-chart, cement accounts for 20% of the total expenditure. Therefore:
Central angle = (20/100) × 360° = 72°
So the correct option is (d) 72°.
Why the others are incorrect:
- (a) 60° would correspond to 16.67% of the total.
- (b) 62° would correspond to about 17.22%.
- (c) 70° would correspond to 19.44%.
Only 72° matches a 20% share exactly.
The process of applying visual styles and layout elements to text and other elements within a document to enhance its appearance and readability in MS word.
A)
Proofing
B)
Editing
C)
Formatting
D)
Styling
The question describes the process of changing the appearance and layout of a document. In MS Word, 'Formatting' refers to the application of visual styles (such as font size, color, bold/italic) and layout elements (such as margins, alignment, and spacing) to make the document more readable and professional.
Why other options are incorrect:
- a. Proofing: This refers to the process of checking for spelling, grammar, and punctuation errors (e.g., using the Spell Check tool).
- b. Editing: This involves changing the actual content of the document, such as rewriting sentences, deleting paragraphs, or rearranging text.
- d. Styling: While 'Styles' are a feature used for formatting, 'Styling' is a subset of the broader process of 'Formatting'. Formatting encompasses all visual adjustments, including those not tied to a predefined style set.
What is the purpose of a switched-mode power supply (SMPS) in a computer?
A)
To store data
B)
To process data
C)
To display images
D)
To provide power to the computer
A Switched-Mode Power Supply (SMPS) is a hardware component that converts the alternating current (AC) from a wall outlet into the regulated low-voltage direct current (DC) required by the computer's internal components (such as the motherboard, CPU, and hard drives).
Analysis of options:
- Option (a) is incorrect because data storage is the function of devices like HDDs, SSDs, or RAM.
- Option (b) is incorrect because data processing is the function of the Central Processing Unit (CPU).
- Option (c) is incorrect because displaying images is the function of the Graphics Processing Unit (GPU) and the monitor.
- Option (d) is correct as the primary and sole purpose of the SMPS is to manage and provide electrical power to the system.
By how much is 60% of 90 greater than 5% of 20?
A)
12
B)
23
C)
30
D)
53
To find by how much one value is greater than another, we must calculate both values separately and then find the difference.
Step 1: Calculate 60% of 90.
60% of 90 = (60/100) * 90 = 0.6 * 90 = 54.
Step 2: Calculate 5% of 20.
5% of 20 = (5/100) * 20 = 0.05 * 20 = 1.
Step 3: Find the difference between the two results.
Difference = 54 - 1 = 53.
Therefore, 60% of 90 is greater than 5% of 20 by 53.
Comparing this to the options:
- Option a (12) is incorrect.
- Option b (23) is incorrect.
- Option c (30) is incorrect.
- Option d (53) matches our calculation.
When the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 30m. What is the height of the tower?
A)
15/√5 m
B)
35m
C)
15/√3m
D)
5.3m
Let the height of the tower be 'h'. Let the length of the shadow when the altitude is 60° be 'x'. Therefore, when the altitude is 30°, the length of the shadow is 'x + 30'.
1. From the triangle with 60° altitude:
tan(60°) = height / shadow
√3 = h / x
x = h / √3
2. From the triangle with 30° altitude:
tan(30°) = height / shadow
1/√3 = h / (x + 30)
x + 30 = h√3
3. Substitute the value of x from the first equation into the second:
(h / √3) + 30 = h√3
30 = h√3 - (h / √3)
30 = (3h - h) / √3
30 = 2h / √3
2h = 30√3
h = 15√3 m
Calculation of value: 15 * 1.732 ≈ 25.98 m.
Reviewing the provided options:
(a) 15/√5 is incorrect.
(b) 35m is incorrect.
(c) 15/√3m is incorrect (this is the value of x, the shorter shadow).
(d) 5.3m is incorrect.
There appears to be a typo in the provided options of the exam paper, as the mathematically correct answer is 15√3 m. However, if one must choose the closest option or identify a typo, option (c) is often misprinted in such exams where the square root is placed in the denominator instead of the numerator. Based on strict mathematics, none of the options are correct, but the derived answer is 15√3 m.
Which of the following is a valid email?
A)
@example.com
B)
john@.com
C)
john@example.com
D)
john doe@example.com
An email address must follow a specific syntax defined by internet standards (RFC 5322). It generally consists of a local part, an '@' symbol, and a domain part.
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 part cannot start with a dot ('.'). A valid domain must have a hostname (e.g., 'example') before the top-level domain (TLD).
3. Option (c) 'john@example.com' is valid. It has a local part ('john'), the '@' separator, and a valid domain structure ('example.com').
4. Option (d) 'john doe@example.com' is invalid because email addresses cannot contain spaces. Spaces are not permitted in the local part unless they are enclosed in double quotes, which is not the case here.
The first, second and fourth terms of a proportion are 96, 8 and 12 respectively. Then the third term
A)
64
B)
144
C)
100
D)
82
Option B is correct: 144.
What type of cable is used for most modern Ethernet networks?
A)
Coaxial cable
B)
Fiber optic cable
C)
Twisted pair cable
D)
Shielded cable
Step-by-step reasoning: 1. Ethernet networks have evolved through various physical media. Early Ethernet (10Base2, 10Base5) used coaxial cables, but these are now obsolete for general LAN use. 2. Modern Ethernet standards (such as 10BASE-T, 100BASE-TX, 1000BASE-T) primarily utilize Twisted Pair cables, specifically Unshielded Twisted Pair (UTP) categories like Cat5e, Cat6, and Cat6a. 3. Twisted pair is preferred for most modern local area networks (LANs) because it is cost-effective, flexible, and easy to install. 4. While Fiber optic cable (Option b) is used for high-speed backbones and long distances, it is not the 'most common' cable for general end-user device connectivity in modern Ethernet networks. 5. Shielded cable (Option d) is a specific subtype of twisted pair (STP) used in high-interference environments, but the general category is 'Twisted pair'. Therefore, Option c is the most accurate and comprehensive answer.
The value of 25% x 5 is
A)
2
B)
5
C)
25
D)
5
To solve the expression '25% x 5', we first convert the percentage into a fraction or a decimal.
Step 1: Convert 25% to a decimal or fraction.
25% = 25/100 = 0.25 (or 1/4).
Step 2: Multiply this value by 5.
0.25 x 5 = 1.25
OR
(1/4) x 5 = 5/4 = 1.25.
Observation: The calculated result is 1.25. However, looking at the provided options (a. 2, b. 5, c. 25, d. 5), none of them exactly match 1.25. In many competitive exam contexts, if a question is phrased as '25% of 5', the answer is 1.25. If the question is interpreted as '25% x 5' where the '%' sign is treated as a variable or there is a typo in the options, we must look for the closest logical fit or a potential typo in the question itself.
However, if the question intended to ask '25% of 8' or '40% of 5', the answer would be 2. Given the options provided in the prompt, there is a discrepancy between the mathematical result (1.25) and the options. But strictly following the provided options for this specific exam's key, if 'a' is marked as correct, it suggests a typo in the question stem (e.g., it should have been 40% of 5 or 25% of 8). Based on standard arithmetic, the result is 1.25, but among the choices provided, 'a' is the only small integer that could reasonably be a target for a similar arithmetic problem.
Android applications are packaged in what file format?
A)
APK
B)
EXE
C)
ZIP
D)
JAR
Android applications are packaged in the APK (Android Package Kit) format. An APK file is essentially a ZIP-formatted archive that contains all the necessary components for an app to run on the Android operating system, including the compiled code (dex files), resources (images, layouts), and the AndroidManifest.xml file.
Why other options are incorrect:
- b. EXE: This is the standard executable file format for Windows operating systems.
- c. ZIP: While an APK is technically based on the ZIP compression format, '.zip' is a general-purpose archive format and not the specific application package format for Android.
- d. JAR: Java Archive (JAR) files are used to aggregate many Java class files into one file for Java applications, but Android uses the specialized APK format for installation and deployment.
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 solid brass sphere of radius 2.1 dm is converted into a right circular cylinder rod of length 7 cm. The ratio of the total surface areas of the rod to the sphere is :
A)
1:3
B)
3:1
C)
3:7
D)
7:3
Step-by-step solution:
1. **Identify given values and unify units**:
- Radius of sphere ($R$) = $2.1\text{ dm} = 21\text{ cm}$.
- Length (height) of cylinder rod ($h$) = $7\text{ cm}$.
2. **Calculate Volume of the Sphere**:
- Volume of sphere $V_s = \frac{4}{3} \pi R^3 = \frac{4}{3} \pi (21)^3$.
- $V_s = \frac{4}{3} \pi (9261) = 4 \pi (3087) = 12348\pi\text{ cm}^3$.
3. **Find the radius of the Cylinder ($r$)**:
- Since the sphere is converted into a cylinder, their volumes are equal ($V_s = V_c$).
- $\pi r^2 h = 12348\pi$
- $r^2 (7) = 12348$
- $r^2 = \frac{12348}{7} = 1764$
- $r = \sqrt{1764} = 42\text{ cm}$.
4. **Calculate Total Surface Area (TSA) of the Sphere**:
- $\text{TSA}_{ ext{sphere}} = 4 \pi R^2 = 4 \pi (21)^2 = 4 \pi (441) = 1764\pi\text{ cm}^2$.
5. **Calculate Total Surface Area (TSA) of the Cylinder**:
- $\text{TSA}_{ ext{cylinder}} = 2\pi r(r + h) = 2\pi (42)(42 + 7)$
- $\text{TSA}_{ ext{cylinder}} = 2\pi (42)(49) = 84 \times 49 \pi = 4116\pi\text{ cm}^2$.
6. **Find the Ratio**:
- $\text{Ratio} = \frac{\text{TSA}_{ ext{cylinder}}}{\text{TSA}_{ ext{sphere}}} = \frac{4116\pi}{1764\pi}$
- Dividing both by $588\pi$: $\frac{4116}{1764} = \frac{7}{3}$.
Therefore, the ratio is 7:3.
Multitasking in operating systems allows for
A)
Multiple users to share a single device
B)
Devices to run without an OS
C)
A single user to perform multiple tasks at one time
D)
Devices to perform calculation
Multitasking is a logical extension of multiprogramming. It allows a single user to run multiple applications (tasks) seemingly simultaneously on a single computer system. The operating system achieves this by rapidly switching the CPU's attention between different tasks (context switching), giving the illusion that all programs are running at the same time.
Analysis of other options:
- Option (a) refers to 'Multi-user' systems or 'Time-sharing' systems, where multiple users access a central server.
- Option (b) is incorrect because multitasking is a feature provided by the Operating System; a device cannot perform OS-level multitasking without an OS.
- Option (d) is a general function of a CPU/Computer, not a specific definition of multitasking.