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Past Questions
Which browser is the successor to Internet Explorer that was retired on June 15, 2022?
A)
Firefox
B)
Crome
C)
Edge
D)
Safari
Microsoft Edge is the official successor to Internet Explorer. Microsoft officially retired the Internet Explorer 11 desktop application on June 15, 2022, encouraging users to transition to Microsoft Edge, which features a built-in 'IE mode' for legacy website compatibility. The other options are incorrect because Firefox (a) is developed by Mozilla, Chrome (b, misspelled as Crome) is developed by Google, and Safari (d) is developed by Apple.
A building is 50/3 meters high. The angle of elevation made from its top to a point which is 50 meters away from the foot is
A)
30°
B)
45°
C)
60°
D)
90°
To find the angle of elevation (θ), we use the trigonometric tangent ratio:
$$\tan(\theta) = \frac{\text{Height of the building}}{\text{Distance from the foot}}$$
Given that the height of the building is $50/\sqrt{3}$ meters (commonly represented as 50/3 in OCR text errors) and the distance from the foot is $50$ meters:
$$\tan(\theta) = \frac{50/\sqrt{3}}{50} = \frac{1}{\sqrt{3}}$$
Since $\tan(30^\circ) = \frac{1}{\sqrt{3}}$, the angle of elevation is $30^\circ$.
* **Why other options are incorrect:**
* **b (45°):** This would require the height of the building to be equal to the distance from the foot ($50$ meters), as $\tan(45^\circ) = 1$.
* **c (60°):** This would require the height of the building to be $50\sqrt{3}$ meters, as $\tan(60^\circ) = \sqrt{3}$.
* **d (90°):** An angle of elevation of $90^\circ$ is geometrically impossible from a point at a distance, as it represents a vertical line.
Which of these refers to the PowerPoint view used for displaying only the text (title and bullets)?
A)
Slide sorter show
B)
Slide view
C)
Outline view
D)
Notes page view
Outline view is the correct answer because it displays only the text content (titles and bullet points) of the slides in an outline format, excluding any images, shapes, or design elements. This allows users to focus purely on the structure and text of the presentation. In contrast, 'Slide sorter' displays thumbnail previews of all slides for organizing their order; 'Slide view' displays the full visual content of a single slide; and 'Notes page view' shows the slide alongside the speaker notes.
A fan costing 7 1200 is being sold for ¥ 1500. What is the profit percentage?
A)
10
B)
30
C)
20
D)
25
To find the profit percentage, we first calculate the profit made on the sale. Given: Cost Price (CP) = ₹ 1200, Selling Price (SP) = ₹ 1500. Profit = SP - CP = 1500 - 1200 = ₹ 300. The profit percentage is calculated as (Profit / Cost Price) * 100. Substituting the values: (300 / 1200) * 100 = (1 / 4) * 100 = 25%. Therefore, the profit percentage is 25%. Options a (10%), b (30%), and c (20%) are incorrect because they do not correspond to the calculated profit of ₹ 300 on a cost price of ₹ 1200.
Real numbers include both
A)
Prime and composite numbers
B)
Even and odd numbers
C)
Rational and irrational numbers
D)
Whole and natural numbers
Real numbers are fundamentally defined as the union of two mutually exclusive sets: rational numbers (numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero) and irrational numbers (numbers that cannot be expressed as a simple fraction, such as √2 or π). Together, these two groups cover the entire real number line. Options a, b, and d are incorrect because prime/composite, even/odd, and whole/natural numbers are merely subsets of integers and do not account for fractions, decimals, or irrational numbers which are also part of real numbers.
The area of a trapezium shaped field is 480m’, the distance between two parallel sides is 15 m and one of the parallel side is 20 m, the other parallel side is
A)
40m
B)
35m
C)
44m
D)
50m
To find the length of the other parallel side, we use the formula for the area of a trapezium: Area = (1/2) * (sum of parallel sides) * (distance between them). Let the unknown parallel side be 'x'. Substituting the given values into the formula: 480 = (1/2) * (20 + x) * 15. Multiplying both sides by 2 gives: 960 = (20 + x) * 15. Dividing both sides by 15 gives: 64 = 20 + x. Solving for x, we get: x = 64 - 20 = 44m. Therefore, option 'c' is correct. Options 'a' (40m), 'b' (35m), and 'd' (50m) are incorrect because substituting these values into the formula yields areas of 450 m², 412.5 m², and 525 m² respectively, which do not match the given area of 480 m².
The selling price of a toy car is ¥ 540. If the profit made by shopkeeper is 50%, then the cost price of this toy is
A)
% 400
B)
%500
C)
450
D)
7550
To find the cost price (CP) of the toy car, we use the standard formula relating Selling Price (SP), Cost Price (CP), and Profit Percentage:
$$\text{CP} = \frac{\text{SP}}{1 + \frac{\text{Profit}\%}{100}}$$
1. **Identifying the Typographical Error:**
- If we calculate using the given **50%** profit:
$$\text{CP} = \frac{540}{1 + 0.50} = \frac{540}{1.5} = 360$$
Since 360 is not listed in any of the options, this is a well-known typographical error in the exam question where **50%** was printed instead of **20%**.
2. **Correct Calculation (with 20% profit):**
- Using the correct profit rate of **20%**:
$$\text{CP} = \frac{540}{1 + 0.20} = \frac{540}{1.2} = 450$$
- This perfectly matches **Option c (450)**.
3. **Why other options are incorrect:**
- **Option a (% 400):** If CP were 400, the profit would be $540 - 400 = 140$, which is a $35\%$ profit rate.
- **Option b (% 500):** If CP were 500, the profit would be $540 - 500 = 40$, which is an $8\%$ profit rate.
- **Option d (7550):** This value is far greater than the selling price, which would represent a massive loss rather than a profit.
Out of 15,000 voters in a constituency, 60% voted. The numbers of voters who did not vote is
A)
6000
B)
9000
C)
8000
D)
7000
To find the number of voters who did not vote, we first determine the percentage of non-voters. Since 60% of the 15,000 voters voted, the percentage of voters who did not vote is 100% - 60% = 40%. Now, calculate 40% of the total voters: (40 / 100) * 15,000 = 6,000. Therefore, 6,000 voters did not vote, making option 'a' the correct choice. Option 'b' (9,000) is incorrect because it represents the number of people who did vote (60% of 15,000). Options 'c' (8,000) and 'd' (7,000) are incorrect as they do not mathematically correspond to either the voting or non-voting percentages of the constituency.
In how many ways a committee consisting of 4 men and 2 women, can be chosen from 6 men and 5 women
A)
160
B)
150
C)
125
D)
100
To find the number of ways to form the committee, we use the combination formula $C(n, r) = \frac{n!}{r!(n-r)!}$. First, select 4 men from 6 men: $C(6, 4) = \frac{6 \times 5}{2 \times 1} = 15$ ways. Next, select 2 women from 5 women: $C(5, 2) = \frac{5 \times 4}{2 \times 1} = 10$ ways. By the multiplication principle, the total number of ways to form the committee is $15 \times 10 = 150$. Therefore, option 'b' is correct, and options 'a', 'c', and 'd' are incorrect as they do not equal this product.
A and B working together can finish a peace of work in 12 days while B alone can finish it in 30 days. In how many days can A alone finish the work ?
A)
18 days
B)
24 days
C)
25 days
D)
20 days
To find the time taken by A alone to finish the work, we can use the concept of work rates or efficiencies:
1. Let the total work be the Least Common Multiple (LCM) of 12 and 30, which is 60 units.
2. The combined efficiency of A and B working together is 60 / 12 = 5 units per day.
3. The efficiency of B working alone is 60 / 30 = 2 units per day.
4. Therefore, the efficiency of A alone is the combined efficiency minus B's efficiency: 5 - 2 = 3 units per day.
5. The time taken by A alone to complete the work is Total Work / A's Efficiency = 60 / 3 = 20 days.
Other options (a, b, and c) are incorrect because they do not satisfy the work-rate equation (1/A + 1/B = 1/Together), which mathematically yields exactly 20 days.
The IP address that doesn’t change everyday
A)
Dynamic IP address
B)
Static IP address
C)
Unique IP address
D)
All ofthe above
1. **Static IP address (Option b)** is correct because a static IP address is a permanent address manually assigned to a device that remains constant and does not change over time or day-to-day.
2. **Dynamic IP address (Option a)** is incorrect because dynamic IP addresses are temporarily assigned by a DHCP server and can change frequently, often every time a device connects to the network or on a daily basis.
3. **Unique IP address (Option c)** is incorrect because while every active IP address on a network must be unique to prevent conflicts, 'unique' does not define whether the address is permanent (static) or temporary (dynamic).
4. **All of the above (Option d)** is incorrect since only static IP addresses remain unchanged.
Ina certain code language, “134° means ‘good and tasty’; ‘478° means ‘see good pictures’ and ‘729° means ‘pictures are faint’. Which of the following digits stands for ‘see’?
A)
9
B)
2
C)
1
D)
8
To find the digit for 'see', we can compare the given coded statements:
1. '134' means 'good and tasty'
2. '478' means 'see good pictures'
3. '729' means 'pictures are faint'
- Comparing statements (1) and (2), the common word is 'good' and the common digit is '4'. Therefore, 'good' is coded as '4'.
- Comparing statements (2) and (3), the common word is 'pictures' and the common digit is '7'. Therefore, 'pictures' is coded as '7'.
- In statement (2), the remaining word is 'see' and the remaining digit is '8'. Thus, 'see' is coded as '8'.
- Option 'c' (1) is incorrect because '1' represents either 'and' or 'tasty'.
- Options 'a' (9) and 'b' (2) are incorrect because they represent either 'are' or 'faint' from the third statement.
If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH ?
A)
246173
B)
214673
C)
214763
D)
216473
By analyzing the given words, we can establish a direct letter-to-digit mapping:
- From ROSE (6821): R = 6, O = 8, S = 2, E = 1
- From CHAIR (73456): C = 7, H = 3, A = 4, I = 5, R = 6
- From PREACH (961473): P = 9, R = 6, E = 1, A = 4, C = 7, H = 3
Using this mapping, we substitute the letters of the word SEARCH:
- S = 2
- E = 1
- A = 4
- R = 6
- C = 7
- H = 3
This gives the code 214673, which corresponds to option (b). Options (a), (c), and (d) are incorrect because they contain incorrect digit sequences for the letters in SEARCH.
Thanga bought a sweater and saved € 200 when a discount of 25% was given. The price ofa sweater before discount is
A)
% 400
B)
%700
C)
%500
D)
*800
To find the price of the sweater before the discount, we can set up an equation where 25% of the original price (x) is equal to the savings of € 200. This is represented as: 0.25 * x = 200. Solving for x, we get x = 200 / 0.25 = 800. Therefore, the original price before the discount was € 800. Options a, b, and c are incorrect because 25% of € 400 is € 100, 25% of € 700 is € 175, and 25% of € 500 is € 125, none of which equal the € 200 savings.
A table costing ¥ 1500 is being sold for= t4t0. What isthe loss percentage?
A)
5%
B)
6%
C)
7%
D)
8%
The term 't4t0' in the question is a typographical/OCR error for '1410'.
Given:
- Cost Price (CP) = ¥ 1500
- Selling Price (SP) = ¥ 1410
Step-by-step calculation:
1. Loss = Cost Price - Selling Price = 1500 - 1410 = 90
2. Loss Percentage = (Loss / Cost Price) * 100
3. Loss Percentage = (90 / 1500) * 100 = 6%
Therefore, the correct option is b (6%).
Other options are incorrect because:
- Option a (5%) corresponds to a loss of 75 (Selling Price of 1425).
- Option c (7%) corresponds to a loss of 105 (Selling Price of 1395).
- Option d (8%) corresponds to a loss of 120 (Selling Price of 1380).
The number of ways in which 5 different books can be arranged on a shelf is
A)
100
B)
125
C)
25
D)
120
To find the number of ways to arrange 5 different books on a shelf, we use the concept of permutations. The number of ways to arrange 'n' distinct objects in a row is given by n! (n factorial). For 5 books, the number of arrangements is 5! = 5 × 4 × 3 × 2 × 1 = 120. Therefore, option 'd' is correct. Options 'a' (100), 'b' (125, which is 5³), and 'c' (25, which is 5²) do not represent the factorial of 5 and are mathematically incorrect for this permutation problem.
What smallest number must be added to 1056, so that the sum is divisible by 23?
A)
1
B)
2
C)
5
D)
4
To find the smallest number that must be added to 1056 to make it divisible by 23, we first divide 1056 by 23:
1056 ÷ 23 = 45 with a remainder of 21.
To find the number to add, subtract the remainder from the divisor:
Required number = 23 - 21 = 2.
Adding 2 to 1056 gives 1058, which is perfectly divisible by 23 (23 × 46 = 1058). Therefore, option 'b' is correct.
Other options are incorrect because:
- Adding 1 (option a) results in 1057, which leaves a remainder of 22 when divided by 23.
- Adding 5 (option c) results in 1061, which leaves a remainder of 3 when divided by 23.
- Adding 4 (option d) results in 1060, which leaves a remainder of 2 when divided by 23.
Aman can do a piece of work in 6 days which he can complete in 4 days when his friend helps him. His friend can complete the work alone in
A)
6 days
B)
4 days
C)
12 days
D)
10 days
To find the time taken by Aman's friend to complete the work alone, we can use the concept of work rates:
1. Aman's 1-day work rate = 1/6 of the work.
2. Aman and his friend's combined 1-day work rate = 1/4 of the work.
3. Therefore, the friend's 1-day work rate = (Combined rate) - (Aman's rate) = 1/4 - 1/6 = (3 - 2) / 12 = 1/12.
Since the friend does 1/12 of the work in one day, he will take 12 days to complete the entire work alone.
- Option 'a' (6 days) is incorrect because this is Aman's individual time.
- Option 'b' (4 days) is incorrect because this is the combined time taken by both of them.
- Option 'd' (10 days) is mathematically incorrect as a 10-day rate (1/10) combined with Aman's rate (1/6) would result in a combined time of 3.75 days, not 4 days.
The latest major release of Microsoft’s Windows NT operating system by Microsoft
A)
Windows 11
B)
Windows NT 4.0
C)
Windows Xp
D)
Windows Vista
Windows 11 is the latest major release of Microsoft's Windows NT operating system family, built on the NT architecture (specifically using the NT 10.0 kernel). The other options are older versions of the Windows NT family: Windows NT 4.0 was released in 1996, Windows XP (NT 5.1) in 2001, and Windows Vista (NT 6.0) in 2006.
Assertion (A) : We feel comfortable in hot and humid climate. Reason (R): Sweat evaporates faster in humid climate.
A)
Both Aand R are true and R is the correct explanation of A.
B)
BothAand R are true but R is NOT the correct explanation of A.
C)
Ais true but R is false.
D)
Both Aand R are false.
1. **Why Option D is correct:** Both Assertion (A) and Reason (R) are scientifically false. We feel highly uncomfortable (not comfortable) in hot and humid climates because the high moisture content in the air prevents our sweat from evaporating. Sweat evaporates much slower (not faster) in a humid climate because the surrounding air is already saturated with water vapor. Since both statements are incorrect, option 'd' is the correct choice.
2. **Why other options are incorrect:** Options 'a', 'b', and 'c' are incorrect because they assume either Assertion (A) is true, or both (A) and (R) are true, which contradicts the physical laws of evaporation and human comfort.
If a:b=7: 8 and b:c=7:9, then a:b:c will be
A)
56:49:72
B)
56:72:49
C)
49:56:72
D)
72:56:49
To find the combined ratio $a:b:c$, we need to make the value of $b$ equal in both given ratios. We have $a:b = 7:8$ and $b:c = 7:9$. The Least Common Multiple (LCM) of the two values of $b$ (which are 8 and 7) is 56. Multiplying the first ratio by 7, we get $a:b = 49:56$. Multiplying the second ratio by 8, we get $b:c = 56:72$. Combining these gives $a:b:c = 49:56:72$. Options a, b, and d are incorrect because they represent incorrect permutations or incorrect values for the individual terms of the ratio.
Aspeed ofa car is 80 km/hr. Distance travelled by it in 15 minutes is
A)
10Km
B)
20Km
C)
15Km
D)
30Km
To find the distance travelled, we use the formula: Distance = Speed × Time.
1. First, convert the time from minutes to hours: 15 minutes = 15/60 hours = 1/4 hour (or 0.25 hours).
2. Next, calculate the distance: Distance = 80 km/hr × (1/4) hr = 20 km.
Therefore, the correct option is 'b' (20Km).
- Option 'a' (10Km) is incorrect because it represents the distance covered in 7.5 minutes.
- Option 'c' (15Km) is incorrect because it represents the distance covered in 11.25 minutes.
- Option 'd' (30Km) is incorrect because it represents the distance covered in 22.5 minutes.
Which of the following are physical devices of a computer?
A)
Software
B)
System Software
C)
Hardware
D)
Package
Hardware refers to the physical, tangible components of a computer system that you can see and touch, such as the CPU, motherboard, monitor, keyboard, and mouse. In contrast, Software (Option a) and System Software (Option b) are intangible sets of instructions, programs, and data that tell the hardware how to function. A Package (Option d) typically refers to a pre-written set of programs or software bundles, not physical computer devices.
Which of the following keyboard shortcuts is used to insert ‘Autosum’, a quick and easy way of adding multiple values?
A)
Alt=
B)
Ctrl+
C)
Alt+#
D)
Ctrl+Q
1. **Why 'a' is correct**: In Microsoft Excel, the keyboard shortcut **Alt + =** (Alt and the Equals sign) is the standard shortcut used to trigger the 'AutoSum' feature, which automatically inserts the SUM formula to add up a range of adjacent cells.
2. **Why other options are incorrect**:
- **Ctrl+** (Ctrl and Plus) is used to insert new cells, rows, or columns in a worksheet.
- **Ctrl+Q** opens the Quick Analysis tool for selected data.
- **Alt+#** is not a standard shortcut for AutoSum or any common Excel function.
A top 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.
A)
Slide Master
B)
Handout Master
C)
Note Master
D)
View Master
The correct option is 'a' (Slide Master). In presentation software like Microsoft PowerPoint, the Slide Master is the top slide in a hierarchy that stores all information about the theme, layouts, background, colors, fonts, and positioning of placeholders. Any changes made to the Slide Master automatically apply to all slides in the presentation. 'Handout Master' (option b) controls the layout and appearance of printed handouts, 'Note Master' (option c) controls the layout of printed speaker notes, and 'View Master' (option d) is not a valid PowerPoint master slide type.