← ASI (Ministerial)
Past Questions
If 75 : 15 = x : 7, the value of x is
A)
25
B)
35
C)
40
D)
45
To solve the proportion 75 : 15 = x : 7, we can express the ratios as fractions:
1. Write the ratios as fractions:
75/15 = x/7
2. Simplify the left side of the equation:
75 divided by 15 equals 5.
So, 5 = x/7
3. Solve for x by multiplying both sides by 7:
x = 5 * 7
x = 35
Verification of options:
- Option (a) 25: 25/7 is approximately 3.57, not 5.
- Option (b) 35: 35/7 = 5. This matches the ratio 75/15.
- Option (c) 40: 40/7 is approximately 5.71, not 5.
- Option (d) 45: 45/7 is approximately 6.43, not 5.
Therefore, the correct value of x is 35.
Mr. Anand can do a piece of work in 12 days and Mr. Binod is twice as fast as Mr. Anand. If they work together on the same piece of work. In what time will they complete the piece of work?
A)
2 days
B)
3 days
C)
4 days
D)
5 days
Step-by-step solution:
1. **Determine individual rates of work**:
- Mr. Anand can complete the work in 12 days. Therefore, his rate of work is 1/12 of the total work per day.
- Mr. Binod is twice as fast as Mr. Anand. This means he takes half the time to complete the same work.
- Time taken by Mr. Binod = 12 days / 2 = 6 days. Therefore, his rate of work is 1/6 of the total work per day.
2. **Calculate combined rate of work**:
- When they work together, their daily rates are added:
- Combined Rate = (1/12) + (1/6)
- To add these fractions, find a common denominator (12):
- Combined Rate = (1/12) + (2/12) = 3/12
- Simplified Combined Rate = 1/4 of the total work per day.
3. **Calculate total time taken**:
- Time = 1 / (Combined Rate)
- Time = 1 / (1/4) = 4 days.
Conclusion: They will complete the work in 4 days. Option (c) is correct. Options (a), (b), and (d) are incorrect as they do not match the calculated combined efficiency.
The lateral surface area of a cube is 256 cm², then the volume of the cube is
A)
216 cm³
B)
27 cm³
C)
64 cm³
D)
512 cm³
Step-by-step solution:
1. **Understand the Formulae**:
- A cube has 6 faces. The 'Lateral Surface Area' (LSA) refers to the area of the four side walls, excluding the top and bottom faces.
- Formula for Lateral Surface Area of a cube = $4a^2$, where '$a$' is the length of the side.
- Formula for Volume of a cube = $a^3$.
2. **Find the side length (a)**:
- Given: Lateral Surface Area = $256\text{ cm}^2$
- $4a^2 = 256$
- $a^2 = 256 / 4$
- $a^2 = 64$
- $a = \sqrt{64} = 8\text{ cm}$
3. **Calculate the Volume**:
- Volume = $a^3$
- Volume = $8^3 = 8 \times 8 \times 8$
- Volume = $512\text{ cm}^3$
Comparing this result to the options:
- Option (a) 216 is $6^3$
- Option (b) 27 is $3^3$
- Option (c) 64 is $4^3$
- Option (d) 512 is $8^3$, which matches our calculation.
The population of a town increases from 50,000 to 52,000. The increase per cent is
A)
2%
B)
3%
C)
4%
D)
5%
To find the percentage increase in population, we use the following formula:
1. **Identify the Initial and Final Values:**
- Initial Population = 50,000
- Final Population = 52,000
2. **Calculate the Absolute Increase:**
- Increase = Final Population - Initial Population
- Increase = 52,000 - 50,000 = 2,000
3. **Calculate the Percentage Increase:**
- Percentage Increase = (Increase / Initial Population) × 100
- Percentage Increase = (2,000 / 50,000) × 100
4. **Simplify the Calculation:**
- (2,000 / 50,000) = 2 / 50 = 1 / 25
- (1 / 25) × 100 = 4%
Therefore, the population increased by 4%.
- Option (a) 2% is incorrect as it would be an increase of only 1,000.
- Option (b) 3% is incorrect as it would be an increase of 1,500.
- Option (d) 5% is incorrect as it would be an increase of 2,500.
What is the probability of a sure event?
A)
0
B)
1
C)
1/2
D)
None of these
In probability theory, the probability of an event is a measure of the likelihood that the event will occur, ranging from 0 to 1.
1. **Sure Event (Certain Event):** A sure event is an event that is guaranteed to happen. Since it encompasses all possible outcomes of the sample space, its probability is defined as 1 (or 100%). For example, if you roll a standard six-sided die, the event of rolling a number between 1 and 6 is a sure event.
2. **Impossible Event:** An event that cannot possibly happen has a probability of 0. For example, rolling a 7 on a standard six-sided die.
3. **Other Options:** Option (c) 1/2 represents an event that has an equal chance of occurring or not occurring (like a fair coin toss), which is not a 'sure' event.
Therefore, the probability of a sure event is always 1.
The length of each side of an equilateral triangle having an area of 9√3 cm² is
A)
4 cm
B)
6 cm
C)
8 cm
D)
36 cm
Step-by-step solution:
1. **Identify the given information**: The area of the equilateral triangle is given as $9\sqrt{3}$ cm².
2. **Recall the formula for the area of an equilateral triangle**: The area $A$ of an equilateral triangle with side length $a$ is given by the formula: $A = \frac{\sqrt{3}}{4} a^2$.
3. **Set up the equation**: Substitute the given area into the formula:
$9\sqrt{3} = \frac{\sqrt{3}}{4} a^2$
4. **Solve for $a^2$**:
- Divide both sides by $\sqrt{3}$: $9 = \frac{1}{4} a^2$
- Multiply both sides by 4: $a^2 = 9 \times 4$
- $a^2 = 36$
5. **Solve for $a$**:
- $a = \sqrt{36}$
- $a = 6$ cm
Verification of options:
- Option (a) 4 cm: Area would be $\frac{\sqrt{3}}{4}(16) = 4\sqrt{3}$ cm² (Incorrect).
- Option (b) 6 cm: Area is $\frac{\sqrt{3}}{4}(36) = 9\sqrt{3}$ cm² (Correct).
- Option (c) 8 cm: Area would be $\frac{\sqrt{3}}{4}(64) = 16\sqrt{3}$ cm² (Incorrect).
- Option (d) 36 cm: Area would be $\frac{\sqrt{3}}{4}(1296) = 324\sqrt{3}$ cm² (Incorrect).
Two persons start from the same place and walk in opposite directions at 5km/hr and 6km/hr respectively. At the end of 2 hours, the distance between them is
A)
11km
B)
16km
C)
18km
D)
22km
Step-by-step solution:
1. **Identify the Relative Speed**: When two objects move in opposite directions from the same starting point, their relative speed is the sum of their individual speeds.
Relative Speed = Speed of Person 1 + Speed of Person 2
Relative Speed = 5 km/hr + 6 km/hr = 11 km/hr.
2. **Calculate Total Distance**: Distance is calculated using the formula: Distance = Speed × Time.
Given Time = 2 hours.
Distance = 11 km/hr × 2 hours = 22 km.
Alternative Method:
- Distance covered by Person 1 = 5 km/hr × 2 hr = 10 km.
- Distance covered by Person 2 = 6 km/hr × 2 hr = 12 km.
- Since they are moving in opposite directions, the total distance between them is the sum of their distances: 10 km + 12 km = 22 km.
Comparison with options:
- Option (a) 11km is the relative speed per hour, not the total distance for 2 hours.
- Option (b) 16km is incorrect.
- Option (c) 18km is incorrect.
- Option (d) 22km matches our calculation.
A man saw a lightning in the sky and heard the thunder after 2 seconds, if the speed of sound in air was 332m/s, the distance between the man and the cloud was
A)
664m
B)
334m
C)
166m
D)
None of these
To find the distance between the man and the cloud, we use the basic formula for distance: Distance = Speed × Time.
1. **Understanding the Physics**: Light travels significantly faster than sound (approx. 300,000 km/s vs 332 m/s). Therefore, the man sees the lightning almost instantaneously, and the time delay of 2 seconds is attributed entirely to the time it takes for the sound (thunder) to travel from the cloud to the man.
2. **Given Data**:
- Speed of sound (v) = 332 m/s
- Time taken (t) = 2 seconds
3. **Calculation**:
Distance = 332 m/s × 2 s = 664 meters.
Comparing this result to the options:
- Option (a) 664m matches our calculation.
- Option (b) 334m is incorrect.
- Option (c) 166m is incorrect (this would be the result if the time was 0.5 seconds).
- Option (d) is incorrect because a correct answer is available.
The compliment of 2/3 of a right angle is
A)
30°
B)
60°
C)
90°
D)
None of these
Step-by-step solution:
1. **Identify the value of a right angle**: A right angle is exactly 90°.
2. **Calculate 2/3 of a right angle**:
(2/3) * 90° = 2 * (90° / 3) = 2 * 30° = 60°.
3. **Understand the concept of 'Compliment' (Complementary Angles)**: Two angles are complementary if their sum is 90°. Therefore, the complement of an angle θ is (90° - θ).
4. **Find the complement of 60°**:
90° - 60° = 30°.
Conclusion:
- Option (a) 30° is correct.
- Option (b) 60° is the value of 2/3 of the right angle, not its complement.
- Option (c) 90° is the total sum of complementary angles, not the specific complement of 60°.
The angles of a triangle are in the ratio 1:2:3. The largest angle is
A)
90°
B)
75°
C)
60°
D)
50°
1. According to the Angle Sum Property of a triangle, the sum of all interior angles of a triangle is always 180°.
2. The angles are given in the ratio 1:2:3. Let the common multiplier be 'x'. Therefore, the three angles can be represented as 1x, 2x, and 3x.
3. Setting up the equation: 1x + 2x + 3x = 180°
4. Combining like terms: 6x = 180°
5. Solving for x: x = 180° / 6 = 30°
6. Now, calculate the individual angles:
- Smallest angle = 1x = 30°
- Middle angle = 2x = 2 * 30° = 60°
- Largest angle = 3x = 3 * 30° = 90°
7. The largest angle is 90°, which corresponds to option (a). Options b, c, and d are incorrect as they do not satisfy the ratio and the sum property simultaneously.
In what time, ₹ 500 will become ₹ 1200 when annual rate of interest is 10%.
A)
12 years
B)
14 years
C)
16 years
D)
20 years
Step-by-step solution:
1. **Identify the given values**:
- Principal (P) = ₹ 500
- Amount (A) = ₹ 1200
- Rate of Interest (R) = 10% per annum
2. **Calculate the Simple Interest (SI)**:
The Simple Interest is the difference between the final Amount and the Principal.
SI = Amount - Principal
SI = 1200 - 500 = ₹ 700
3. **Apply the Simple Interest Formula**:
The formula for Simple Interest is: SI = (P × R × T) / 100
Where T is the time in years.
4. **Rearrange the formula to solve for T**:
T = (SI × 100) / (P × R)
5. **Substitute the values into the formula**:
T = (700 × 100) / (500 × 10)
T = 70,000 / 5,000
T = 70 / 5
T = 14 years
Conclusion: The time required is 14 years. Therefore, option (b) is correct. Options (a), (c), and (d) are incorrect as they do not satisfy the mathematical calculation based on the provided principal, rate, and final amount.
A floor is of dimensions (14 × 12 feet). How many square floor tiles of side 2 feet would be used to cover the floor?
A)
42
B)
36
C)
32
D)
24
To find the number of tiles required to cover a floor, we divide the total area of the floor by the area of a single tile.
1. **Calculate the Area of the Floor**:
The floor is rectangular with dimensions 14 feet by 12 feet.
Area of floor = Length × Width = 14 ft × 12 ft = 168 square feet.
2. **Calculate the Area of One Tile**:
The tiles are square with a side of 2 feet.
Area of one tile = Side × Side = 2 ft × 2 ft = 4 square feet.
3. **Calculate the Number of Tiles**:
Number of tiles = (Total Area of Floor) / (Area of one tile)
Number of tiles = 168 / 4 = 42.
Therefore, 42 tiles are needed to cover the floor.
Comparing this to the options:
- Option (a) 42 is correct.
- Option (b) 36, (c) 32, and (d) 24 are incorrect as they do not match the calculated result.
A wire is looped in the form of a circle of radius 28 cm. It is rebent into a square form. Determine the length of the side of the square
A)
24 cm
B)
44 cm
C)
64 cm
D)
34 cm
Step-by-step solution:
1. **Understand the concept**: When a wire is rebent from one shape to another, the total length of the wire remains constant. Therefore, the circumference of the circle is equal to the perimeter of the square.
2. **Calculate the circumference of the circle**:
The formula for the circumference of a circle is $C = 2\pi r$.
Given radius ($r$) = 28 cm.
Using $\pi \approx \frac{22}{7}$:
$C = 2 \times \frac{22}{7} \times 28$
$C = 2 \times 22 \times 4$
$C = 176$ cm.
3. **Relate to the square**:
The perimeter of the square is equal to the circumference of the circle.
Perimeter of square = $4 \times \text{side (s)}$
$176 = 4s$
4. **Solve for the side**:
$s = \frac{176}{4}$
$s = 44$ cm.
Comparing this result to the options:
- Option (a) 24 cm is incorrect.
- Option (b) 44 cm is correct.
- Option (c) 64 cm is incorrect.
- Option (d) 34 cm is incorrect.
The first two angles of a triangle are 50° and 60°. The third angle of the triangle is
A)
50°
B)
60°
C)
70°
D)
80°
To find the third angle of a triangle, we use the Angle Sum Property of a triangle, which states that the sum of all interior angles of a triangle is always 180°.
Step 1: Identify the given angles.
Angle 1 = 50°
Angle 2 = 60°
Step 2: Calculate the sum of the two given angles.
Sum = 50° + 60° = 110°
Step 3: Subtract the sum of the known angles from the total sum of a triangle (180°) to find the third angle.
Third Angle = 180° - 110° = 70°
Verification of options:
- Option a (50°): 50+60+50 = 160° (Incorrect)
- Option b (60°): 50+60+60 = 170° (Incorrect)
- Option c (70°): 50+60+70 = 180° (Correct)
- Option d (80°): 50+60+80 = 190° (Incorrect)
A number exceeds 20% of itself by 40. The number is
A)
40
B)
50
C)
60
D)
80
Step-by-step solution:
1. Let the unknown number be represented by 'x'.
2. According to the problem, the number (x) exceeds 20% of itself (0.20x) by 40.
3. This can be translated into the algebraic equation: x - 0.20x = 40.
4. Simplify the left side: 0.80x = 40.
5. Solve for x: x = 40 / 0.80.
6. x = 400 / 8 = 50.
Verification of options:
- If x = 40: 20% of 40 is 8. 40 - 8 = 32 (Incorrect).
- If x = 50: 20% of 50 is 10. 50 - 10 = 40 (Correct).
- If x = 60: 20% of 60 is 12. 60 - 12 = 48 (Incorrect).
- If x = 80: 20% of 80 is 16. 80 - 16 = 64 (Incorrect).
By selling a bike for ₹ 99,000 each, a dealer gains 10% on one and losses 10% on the other. On the whole transaction, the dealer
A)
losses
B)
gains
C)
neither gain nor losses
D)
data insufficient
This is a classic problem in Profit and Loss. When two items are sold at the same selling price (SP), one at a gain of x% and the other at a loss of x%, there is always an overall loss.
Step-by-step calculation:
1. Let the Selling Price (SP) of each bike be ₹ 99,000.
2. For the first bike (10% gain):
Cost Price (CP1) = SP / (1 + Gain%) = 99,000 / 1.10 = ₹ 90,000.
3. For the second bike (10% loss):
Cost Price (CP2) = SP / (1 - Loss%) = 99,000 / 0.90 = ₹ 110,000.
4. Total SP = 99,000 + 99,000 = ₹ 198,000.
5. Total CP = 90,000 + 110,000 = ₹ 200,000.
6. Since Total CP (200,000) > Total SP (198,000), the dealer incurs a loss.
Shortcut Formula:
Overall Loss % = (Common Gain or Loss % / 10)^2
Loss % = (10 / 10)^2 = 1^2 = 1% loss.
Therefore, the dealer losses on the whole transaction.
A bag contains 3 white, 4 red and 5 black balls. One ball is drawn at random. What is the probability that the ball drawn is neither black nor white?
A)
1/4
B)
1/3
C)
3/4
D)
1/2
Step-by-step solution:
1. **Identify the total number of outcomes**: The bag contains 3 white, 4 red, and 5 black balls.
Total balls = 3 + 4 + 5 = 12.
2. **Identify the favorable outcomes**: The question asks for the probability that the ball drawn is 'neither black nor white'.
- If the ball is not black and not white, it must be red.
- Number of red balls = 4.
3. **Calculate the probability**: Probability (P) = (Number of favorable outcomes) / (Total number of outcomes).
P = 4 / 12.
4. **Simplify the fraction**: 4/12 simplifies to 1/3.
Comparing with options:
- Option (a) 1/4 is incorrect.
- Option (b) 1/3 is correct.
- Option (c) 3/4 is incorrect.
- Option (d) 1/2 is incorrect.
If a:b = 3:4 and b:c = 6:5, What is a:b:c?
A)
3:4:5
B)
3:4:6
C)
4:5:6
D)
9:12:10
To find the combined ratio a:b:c, we must make the value of the common term 'b' equal in both given ratios.
1. Given ratios:
a : b = 3 : 4
b : c = 6 : 5
2. Identify the common term: The common term is 'b'. In the first ratio, b is 4. In the second ratio, b is 6.
3. Find the Least Common Multiple (LCM) of the values of b:
LCM of 4 and 6 is 12.
4. Adjust the ratios to make b = 12:
For a : b = 3 : 4, multiply both terms by 3: (3 × 3) : (4 × 3) = 9 : 12
For b : c = 6 : 5, multiply both terms by 2: (6 × 2) : (5 × 2) = 12 : 10
5. Combine the ratios:
Since b is now 12 in both, a : b : c = 9 : 12 : 10.
Comparing this result to the options:
- Option a (3:4:5) is incorrect because it ignores the scaling of b.
- Option b (3:4:6) is incorrect.
- Option c (4:5:6) is incorrect.
- Option d (9:12:10) matches our calculated result.
In tossing 3 coins, the probability of getting 2 heads is
A)
1/2
B)
2/3
C)
3/8
D)
1/4
To find the probability of getting exactly 2 heads when tossing 3 coins, we follow these steps:
1. **Determine the Total Sample Space (S):** Each coin has 2 possible outcomes (Head 'H' or Tail 'T'). For 3 coins, the total number of outcomes is 2^3 = 8.
The sample space is: {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.
2. **Identify the Favorable Outcomes (E):** We are looking for outcomes that contain exactly 2 heads.
These are: {HHT, HTH, THH}.
The number of favorable outcomes is 3.
3. **Calculate the Probability:** The formula for probability is P(E) = (Number of favorable outcomes) / (Total number of outcomes).
P(2 Heads) = 3 / 8.
**Analysis of Options:**
- Option (a) 1/2: Incorrect. This would be the probability of getting at least 2 heads if we included HHH (4/8 = 1/2), but the question asks for exactly 2.
- Option (b) 2/3: Incorrect. This is not a possible outcome for a sample space of 8.
- Option (c) 3/8: Correct. Matches our calculation.
- Option (d) 1/4: Incorrect. This is the probability of getting exactly 1 head or exactly 3 heads (2/8 or 1/8 respectively, but not 3/8).
One card is drawn at random from a well-suffled deck of 52 cards. What is the probability of getting an ace?
A)
1/26
B)
1/4
C)
1/13
D)
4/13
To find the probability of drawing an ace from a standard deck of cards, we use the basic probability formula: P(Event) = (Number of favorable outcomes) / (Total number of possible outcomes).
1. Total number of possible outcomes: A standard well-shuffled deck contains 52 cards. Therefore, the total number of outcomes is 52.
2. Number of favorable outcomes: There are 4 suits in a deck (Hearts, Diamonds, Clubs, and Spades), and each suit has one ace. Thus, there are 4 aces in total.
3. Calculation: P(Ace) = 4 / 52.
4. Simplification: Dividing both the numerator and the denominator by their greatest common divisor (4), we get 4 ÷ 4 / 52 ÷ 4 = 1 / 13.
Comparing this to the options:
- Option a (1/26) is incorrect; it would be the probability of drawing a specific color ace (e.g., a red ace).
- Option b (1/4) is incorrect; it is the probability of drawing a specific suit.
- Option c (1/13) is correct.
- Option d (4/13) is incorrect; it is four times the actual probability.
Lala brought a book for ₹ 500 and sold it for ₹ 750, his gain percent is
A)
40 %
B)
50 %
C)
60 %
D)
10 %
To find the gain percent, we follow these steps:
1. **Identify the Cost Price (CP) and Selling Price (SP):**
- Cost Price (CP) = ₹ 500
- Selling Price (SP) = ₹ 750
2. **Calculate the Gain (Profit):**
- Gain = Selling Price - Cost Price
- Gain = ₹ 750 - ₹ 500 = ₹ 250
3. **Calculate the Gain Percentage:**
- The formula for gain percent is: (Gain / Cost Price) × 100
- Gain % = (250 / 500) × 100
- Gain % = (1 / 2) × 100
- Gain % = 50%
Therefore, Lala's gain percent is 50%.
Comparing this to the options:
- Option (a) 40% is incorrect.
- Option (b) 50% is correct.
- Option (c) 60% is incorrect.
- Option (d) 10% is incorrect.
1 / (√9 - √8) is equal to
A)
3 - 2√2
B)
2 + 3√2
C)
3 + 2√2
D)
None of these
To solve the expression 1 / (√9 - √8), we need to rationalize the denominator.
Step 1: Simplify the square roots in the denominator.
√9 = 3
√8 = √(4 × 2) = 2√2
So, the expression becomes: 1 / (3 - 2√2)
Step 2: Rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator. The conjugate of (3 - 2√2) is (3 + 2√2).
Expression = [1 × (3 + 2√2)] / [(3 - 2√2) × (3 + 2√2)]
Step 3: Apply the algebraic identity (a - b)(a + b) = a² - b² to the denominator.
Denominator = (3)² - (2√2)²
Denominator = 9 - (4 × 2)
Denominator = 9 - 8 = 1
Step 4: Final calculation.
Expression = (3 + 2√2) / 1 = 3 + 2√2
Comparing this result to the options:
Option (a) 3 - 2√2 is the conjugate, not the result.
Option (b) 2 + 3√2 is incorrect.
Option (c) 3 + 2√2 matches our result exactly.
The two complimentary angles are in the ratio 2:3. The smaller angle is
A)
36°
B)
120°
C)
108°
D)
40°
1. Definition: Two angles are called complementary if their sum is exactly 90°.
2. Given Ratio: The angles are in the ratio 2:3. Let the angles be 2x and 3x.
3. Equation: According to the definition of complementary angles, 2x + 3x = 90°.
4. Solving for x:
5x = 90°
x = 90° / 5
x = 18°
5. Finding the angles:
Smaller angle = 2x = 2 * 18° = 36°
Larger angle = 3x = 3 * 18° = 54°
6. Verification: 36° + 54° = 90°. The smaller angle is indeed 36°.
Comparing with options:
- Option (a) 36°: Correct.
- Option (b) 120°: Incorrect (exceeds 90°).
- Option (c) 108°: Incorrect (exceeds 90°).
- Option (d) 40°: Incorrect (if the smaller angle were 40°, the larger would be 50°, making the ratio 4:5, not 2:3).
What rate per cent of 1 minute 12 seconds to an hour?
A)
3.5%
B)
3%
C)
2.5%
D)
2%
To find the percentage of 1 minute 12 seconds relative to one hour, we must first convert both time durations into the same unit (seconds).
Step 1: Convert 1 hour to seconds.
1 hour = 60 minutes
1 minute = 60 seconds
Therefore, 1 hour = 60 × 60 = 3,600 seconds.
Step 2: Convert 1 minute 12 seconds to seconds.
1 minute = 60 seconds
Total = 60 + 12 = 72 seconds.
Step 3: Calculate the percentage.
Percentage = (Part / Whole) × 100
Percentage = (72 / 3,600) × 100
Step 4: Simplify the fraction.
(72 / 3,600) × 100 = 72 / 36
72 ÷ 36 = 2
Thus, 1 minute 12 seconds is 2% of an hour. Comparing this to the options: a (3.5%), b (3%), and c (2.5%) are incorrect, while d (2%) is correct.
A student has to secure 40% marks to pass. He gets 178 marks and fails by 22 marks. The full marks must be –
A)
500
B)
520
C)
560
D)
600
Step-by-step solution:
1. **Determine the passing marks**: The student scored 178 marks but failed by 22 marks. This means the minimum marks required to pass is the sum of the marks obtained and the marks he lacked.
Passing Marks = 178 + 22 = 200 marks.
2. **Relate passing marks to percentage**: According to the problem, the passing percentage is 40% of the full marks.
Let the full marks be 'x'.
Therefore, 40% of x = 200.
3. **Solve for x**:
(40/100) * x = 200
0.4 * x = 200
x = 200 / 0.4
x = 2000 / 4
x = 500.
Conclusion: The full marks are 500.
- Option (a) 500 is correct.
- Options (b) 520, (c) 560, and (d) 600 are incorrect as they do not satisfy the condition that 40% of the total equals 200.
Page 1
← Prev
Next →