1.
Question: What is the next number in the series: 2, 4, 6, 8, ___?
Options:
Explanation:
Pattern: The series consists of consecutive even numbers.
Solution: Each number is obtained by adding 2 to the previous number. 8 + 2 = 10.
✅ Correct Answer: b) 10
2.
Question: What is the next number in the series: 1, 3, 5, 7, ___?
Options:
Explanation:
Pattern: The series consists of consecutive odd numbers.
Solution: Each number is obtained by adding 2 to the previous number. 7 + 2 = 9.
✅ Correct Answer: b) 9
3.
Question: What is the next number in the series: 5, 10, 15, 20, ___?
Options:
Explanation:
Pattern: The series consists of multiples of 5.
Solution: Each number is obtained by adding 5 to the previous number. 20 + 5 = 25.
✅ Correct Answer: c) 25
4.
Question: What is the next number in the series: 1, 2, 4, 8, ___?
Options:
Explanation:
Pattern: Each number is obtained by multiplying the previous number by 2.
Solution: 8 * 2 = 16.
✅ Correct Answer: d) 16
5.
Question: What is the next number in the series: 3, 6, 9, 12, ___?
Options:
Explanation:
Pattern: The series consists of consecutive multiples of 3.
Solution: Each number is obtained by adding 3 to the previous number. 12 + 3 = 15.
✅ Correct Answer: c) 15
6.
Question: A train travels at a speed of 80 km/h for 3 hours. How far does the train travel?
Options:
Explanation:
Formula: Distance = Speed × Time
Calculation: Distance = 80 km/h × 3 hours = 240 km
✅ Correct Answer: c) 240 km
7.
Question: A cyclist travels 30 kilometers at a speed of 15 km/h. How long does it take the cyclist to complete the journey?
Options:
Explanation:
Formula: Time = Distance / Speed
Calculation: Time = 30 km / 15 km/h = 2 hours
✅ Correct Answer: b) 2 hours
8.
Question: A runner covers a distance of 100 meters in 20 seconds. What is the runner's speed in meters per second (m/s)?
Options:
Explanation:
Formula: Speed = Distance / Time
Calculation: Speed = 100 meters / 20 seconds = 5 m/s
✅ Correct Answer: c) 5 m/s
9.
Question: A car travels 120 kilometers in 2 hours. What is the average speed of the car?
Options:
Explanation:
Formula: Speed = Distance / Time
Calculation: Speed = 120 km / 2 hours = 60 km/h
✅ Correct Answer: b) 60 km/h
10.
Question: A shopkeeper buys a toy for ₹150 and sells it for ₹180. What is the profit percentage?
Options:
Explanation:
1. Calculate the profit: Profit = Selling Price (SP) - Cost Price (CP) = ₹180 - ₹150 = ₹30
2. Calculate the profit percentage: Profit Percentage = (Profit / CP) × 100 = (₹30 / ₹150) × 100 = 20%
✅ Correct Answer: b) 20%
11.
Question: A book is purchased for ₹200 and sold at a loss of 10%. What is the selling price?
Options:
Explanation:
1. Calculate the loss amount: Loss = 10% of ₹200 = (10/100) × ₹200 = ₹20
2. Calculate the selling price: SP = CP - Loss = ₹200 - ₹20 = ₹180
✅ Correct Answer: b) ₹180
12.
Question: A mobile phone is sold for ₹12,000, resulting in a profit of ₹2,000. What is the cost price of the mobile phone?
Options:
Explanation:
1. Calculate the cost price: CP = SP - Profit = ₹12,000 - ₹2,000 = ₹10,000
✅ Correct Answer: b) ₹10,000
13.
Question: A shopkeeper sells a pen for ₹12, making a profit of 20%. What was the cost price of the pen?
Options:
Explanation:
1. Let the cost price be 'x'.
2. Set up the equation: x + 20% of x = ₹12, which means x + 0.2x = 12
3. Combine like terms: 1.2x = 12
4. Solve for x: x = 12 / 1.2 = ₹10
✅ Correct Answer: b) ₹10
14.
Question: A person sold a bicycle for ₹2,800 and incurred a loss of 20%. At what price should he have sold the bicycle to make a profit of 10%?
Options:
Explanation:
1. Find the cost price: Let the cost price be 'CP'. We know 80% of CP = ₹2,800 (100% - 20% loss = 80%). Therefore, CP = ₹2,800 / 0.8 = ₹3,500.
2. Calculate the selling price for a 10% profit: SP = CP + 10% of CP = ₹3,500 + (10/100) × ₹3,500 = ₹3,500 + ₹350 = ₹3,850.
✅ Correct Answer: c) ₹3,850
15.
Question: A fair coin is tossed. What is the probability of getting a head?
Options:
Explanation:
* Possible outcomes: Head (H) or Tail (T) - 2 outcomes
* Favorable outcome: Head (H) - 1 outcome
* Probability: (Number of favorable outcomes) / (Total number of outcomes) = 1/2
✅ Correct Answer: c) 1/2
16.
Question: A standard six-sided die is rolled. What is the probability of rolling a 4?
Options:
Explanation:
* Possible outcomes: 1, 2, 3, 4, 5, 6 - 6 outcomes
* Favorable outcome: 4 - 1 outcome
* Probability: 1/6
✅ Correct Answer: a) 1/6
17.
Question: A bag contains 3 red balls and 5 blue balls. What is the probability of drawing a red ball?
Options:
Explanation:
* Total balls: 3 red + 5 blue = 8 balls
* Favorable outcomes: 3 red balls
* Probability: 3/8
✅ Correct Answer: a) 3/8
18.
Question: What is the probability of drawing a king from a standard deck of 52 playing cards?
Options:
Explanation:
* Total cards: 52
* Number of kings: 4 (one in each suit)
* Probability: 4/52 = 1/13
✅ Correct Answer: c) 1/13
19.
Question: A spinner has 4 equal sections: red, blue, green, and yellow. What is the probability of the spinner landing on blue or green?
Options:
Explanation:
* Total sections: 4
* Favorable outcomes: Blue or green - 2 sections
* Probability: 2/4 = 1/2
✅ Correct Answer: b) 1/2
20.
Question: How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5, without repetition?
Options:
Explanation:
* Type: Permutation (order matters)
* Formula: P(n, r) = n! / (n - r)!
* Calculation: We have 5 digits (n=5) and want to form 3-digit numbers (r=3).
* P(5, 3) = 5! / 2! = (5 × 4 × 3) = 60
✅ Correct Answer: b) 60
21.
Question: In how many ways can a committee of 4 people be chosen from a group of 7 people?
Options:
Explanation:
* Type: Combination (order doesn't matter)
* Formula: C(n, r) = n! / (r!(n - r)!)
* Calculation: We have 7 people (n=7) and want to choose 4 (r=4).
* C(7, 4) = 7! / (4!3!) = 35
✅ Correct Answer: a) 35
22.
Question: How many different arrangements can be made using the letters of the word "ARRANGE"?
Options:
Explanation:
* Type: Permutation with repetitions
* Calculation: The word "ARRANGE" has 7 letters, with "A" appearing twice and "R" appearing twice.
* Number of arrangements = 7! / (2!2!) = 1260
✅ Correct Answer: b) 1260
23.
Question: A bag contains 5 red balls and 3 blue balls. In how many ways can 2 red balls and 1 blue ball be chosen?
Options:
Explanation:
* Type: Combination (separate selections)
* Calculation:
* Ways to choose 2 red balls from 5: C(5, 2) = 10
* Ways to choose 1 blue ball from 3: C(3, 1) = 3
* Total ways: 10 × 3 = 30
✅ Correct Answer: b) 30
24.
Question: How many different paths can be taken from point A to point B on a grid, if you can only move right or down, in a 4x3 grid? (4 right movements and 3 down movements are necessary)
Options:
Explanation:
* Type: Combination (choosing positions)
* Calculation: To reach point B, we need to make a total of 7 moves (4 right and 3 down). We need to choose 3 of these 7 moves to be "down" moves (or 4 of the 7 to be "right" moves).
* C(7, 3) = 7! / (3!4!) = (7 × 6 × 5) / (3 × 2 × 1) = 35
✅ Correct Answer: b) 35
25.
Question: Two trains, A and B, start simultaneously from stations P and Q, respectively, towards each other. After they meet, train A takes 9 hours to reach Q, and train B takes 16 hours to reach P. If the speed of train A is 80 km/h, what is the speed of train B?
Options:
Explanation:
* Key Concept: When two objects move towards each other, the ratio of their speeds is inversely proportional to the square root of the ratio of the times they take to reach their destinations after meeting.
* Formula: (Speed of A / Speed of B) = √(Time taken by B after meeting / Time taken by A after meeting)
* Calculation:
* (80 / Speed of B) = √(16 / 9) = 4 / 3
* Speed of B = (80 * 3) / 4 = 60 km/h
✅ Correct Answer: a) 60 km/h
26.
Question: A boat travels upstream from point A to point B and downstream from point B to point A. The speed of the boat in still water is 10 km/h, and the speed of the stream is 2 km/h. If the total time taken for the round trip is 6 hours, what is the distance between A and B?
Options:
Explanation:
* Key Concept: Upstream speed = (Boat speed - Stream speed), Downstream speed = (Boat speed + Stream speed).
* Let the distance between A and B be 'd' km.
* Calculation:
* Upstream speed = 10 - 2 = 8 km/h
* Downstream speed = 10 + 2 = 12 km/h
* Time taken upstream = d / 8 hours
* Time taken downstream = d / 12 hours
* Total time = (d / 8) + (d / 12) = 6 hours
* (3d + 2d) / 24 = 6
* 5d = 144
* d = 144 / 5 = 28.8 km.
* Since 28.8 is not an option, the closest option is likely the correct one due to possible rounding.
✅ Correct Answer: b) 28 km (the correct answer is 28.8 km, so b is the closest to the correct answer)
27.
Question: A car travels from city X to city Y at a speed of 60 km/h and returns from city Y to city X at a speed of 40 km/h. What is the average speed of the car for the entire journey?
Options:
Explanation:
* Key Concept: Average speed is not the arithmetic mean of the speeds when distances are equal. It is the total distance divided by the total time.
* Formula: Average speed = (2 * Speed1 * Speed2) / (Speed1 + Speed2) (when distances are equal)
* Calculation:
* Average speed = (2 * 60 * 40) / (60 + 40)
* Average speed = 4800 / 100 = 48 km/h
✅ Correct Answer: a) 48 km/h
28.
Question: If 30% of a number is 75, what is 60% of that number?
Options:
Explanation:
1. Find the original number: Let the number be 'x'. 30% of x = 75, so 0.3x = 75. Therefore, x = 75 / 0.3 = 250.
2. Calculate 60% of the number: 60% of 250 = 0.6 * 250 = 150.
✅ Correct Answer: b) 150
29.
Question: A student scored 72 marks out of 120 in an exam. What is the percentage of marks scored by the student?
Options:
Explanation:
1. Calculate the percentage: (Marks scored / Total marks) * 100
2. Calculation: (72 / 120) * 100 = 0.6 * 100 = 60%
✅ Correct Answer: b) 60%
30.
Question: A shopkeeper increased the price of an item by 20% and then gave a discount of 10% on the new price. What is the net percentage increase in the price?
Options:
Explanation:
1. Assume the original price is ₹100.
2. Increase by 20%: New price = 100 + (20/100)*100 = ₹120.
3. Discount of 10%: Discount amount = (10/100)*120 = ₹12.
4. Final price: 120 - 12 = ₹108.
5. Net increase: 108 - 100 = ₹8.
6. Net percentage increase: (8/100) * 100 = 8%
✅ Correct Answer: a) 8%
31.
Question: In an election, a candidate secured 55% of the total votes and won by a margin of 1800 votes. What is the total number of votes polled?
Options:
Explanation:
1. Percentage difference: The winning candidate got 55%, so the losing candidate got 45%. The difference is 55% - 45% = 10%.
2. 10% of total votes = 1800 votes.
3. Total votes: 1800 / 0.1 = 18000
✅ Correct Answer: d) 18000
32.
Question: A person's salary is increased by 25% and then decreased by 20%. What is the net percentage change in the salary?
Options:
Explanation:
1. Assume the original salary is ₹100.
2. Increase by 25%: New salary = 100 + (25/100)*100 = ₹125.
3. Decrease by 20%: Decrease amount = (20/100)*125 = ₹25.
4. Final salary: 125 - 25 = ₹100.
5. Net change: 100 - 100 = 0
6. Net percentage change: 0%
✅ Correct Answer: a) 0%
33.
Question: If the price of sugar increases by 20%, by what percentage should a family reduce its consumption so that the expenditure remains the same?
Options:
Explanation:
1. Let the original price be ₹100 and original consumption be 100 kg.
2. Original expenditure: 100 * 100 = ₹10000.
3. New price: 100 + 20% of 100 = ₹120.
4. Let the new consumption be 'x' kg.
5. New expenditure: 120 * x = ₹10000 (expenditure remains the same)
6. Solve for x: x = 10000 / 120 = 83.33 kg.
7. Decrease in consumption: 100 - 83.33 = 16.67 kg.
8. Percentage decrease: (16.67 / 100) * 100 = 16.67%
✅ Correct Answer: b) 16.67%
34.
Question: The bar graph represents the annual sales (in millions) of Company A and Company B from 2019 to 2023.
which year did Company A record the highest growth compared to the previous year?
Options:
Explanation & Answer: To find the year with the highest growth, we calculate the annual increase in sales for Company A:
- 2020 - 2019: 65 - 50 = 15 million
- 2021 - 2020: 70 - 65 = 5 million
- 2022 - 2021: 85 - 70 = 15 million
- 2023 - 2022: 95 - 85 = 10 million
The highest increase occurred in 2020 and 2022 with an increase of 15 million. Since 2020 appears first, we select 2020 as the answer.
✅ Correct Answer: (A) 2020
35.
Question: The pie chart represents the market share of five companies in 2024.
If the total market size is $200 million, what is the revenue generated by Company C?
Options:
Explanation & Answer: To find the revenue generated by Company C, we use the formula:
Revenue = (Market Share Percentage / 100) × Total Market Size
Given that Company C has a 20% market share and the total market size is $200 million:
(20 / 100) × 200 = 40 million
✅ Correct Answer: (C) $40 million
36.
Question: The line graph shows the annual profit (in million dollars) of Company A and Company B from 2018 to 2023.
In which year did Company A first surpass the profit of Company B?
Options:
Explanation & Answer: By analyzing the graph:
- In 2018, Company A's profit is 20 million, and Company B's profit is 25 million → A is lower.
- In 2019, Company A's profit is 30 million, and Company B's profit is 35 million → A is still lower.
- In 2020, Company A's profit is 45 million, and Company B's profit is 40 million → Company A surpasses Company B for the first time.
✅ Correct Answer: (C) 2020
37.
Question: The bar chart represents the sales (in thousand units) of different products in 2023.
Which product had the highest sales in 2023?
Options:
Explanation & Answer: From the graph, the sales figures are:
- Product A: 120k
- Product B: 150k
- Product C: 100k
- Product D: 180k (highest)
- Product E: 130k
Since Product D has the highest sales of 180,000 units, the correct answer is:
✅ Correct Answer: (D) Product D
38.
Question: If the ratio of boys to girls in a class is 3:5, and there are 24 boys, how many girls are there?
Options:
Explanation:
1. Set up the proportion: Boys/Girls = 3/5 = 24/x (where x is the number of girls)
2. Cross-multiply: 3x = 24 * 5
3. Solve for x: 3x = 120, so x = 120 / 3 = 40
✅ Correct Answer: b) 40
39.
Question: If a:b = 2:3 and b:c = 4:5, find a:c.
Options:
Explanation:
1. Make the 'b' values equal: Multiply the first ratio by 4 and the second ratio by 3.
* a:b = 2:3 becomes 8:12
* b:c = 4:5 becomes 12:15
2. Combine the ratios: Now that 'b' is the same, a:b:c = 8:12:15
3. Find a:c: a:c = 8:15
✅ Correct Answer: b) 8:15
40.
Question: Divide ₹600 among A, B, and C in the ratio 2:3:5. How much does B get?
Options:
Explanation:
1. Find the total ratio: 2 + 3 + 5 = 10
2. Find the value of one ratio unit: ₹600 / 10 = ₹60
3. Calculate B's share: B's ratio is 3, so B gets 3 * ₹60 = ₹180
✅ Correct Answer: b) ₹180
41.
Question: The lengths of the sides of a triangle are in the ratio 3:4:5, and its perimeter is 36 cm. What is the length of the longest side?
Options:
Explanation:
1. Find the total ratio: 3 + 4 + 5 = 12
2. Find the value of one ratio unit: 36 cm / 12 = 3 cm
3. Calculate the longest side (ratio 5): 5 * 3 cm = 15 cm
✅ Correct Answer: c) 15 cm
42.
Question: What is the simple interest on ₹5,000 at a rate of 8% per annum for 3 years?
Options:
Explanation:
1. Formula: Simple Interest (SI) = (Principal × Rate × Time) / 100
2. Calculation: SI = (5000 × 8 × 3) / 100 = 1200
✅ Correct Answer: b) ₹1,200
43.
Question: If a sum of money becomes ₹6,600 after 2 years at a simple interest rate of 10% per annum, what was the principal amount?
Options:
Explanation:
1. Let the principal amount be P.
2. Simple Interest: SI = (P × 10 × 2) / 100 = P/5
3. Amount = Principal + Simple Interest: 6600 = P + P/5 = 6P/5
4. Solve for P: P = (6600 × 5) / 6 = 5500
✅ Correct Answer: b) ₹5,500
44.
Question: In how many years will ₹8,000 amount to ₹9,920 at a simple interest rate of 12% per annum?
Options:
Explanation:
1. Simple Interest: SI = Amount - Principal = 9920 - 8000 = ₹1920
2. Formula: SI = (P × R × T) / 100
3. Plug in the values: 1920 = (8000 × 12 × T) / 100
4. Solve for T: T = (1920 × 100) / (8000 × 12) = 2
✅ Correct Answer: b) 2 years
45.
Question: At what rate of simple interest per annum will ₹4,500 amount to ₹5,310 in 4 years?
Options:
Explanation:
1. Simple Interest: SI = 5310 - 4500 = ₹810
2. Formula: SI = (P × R × T) / 100
3. Plug in the values: 810 = (4500 × R × 4) / 100
4. Solve for R: R = (810 × 100) / (4500 × 4) = 4.5
✅ Correct Answer: b) 4.5%
46.
Question: What is the angle between the hour hand and the minute hand of a clock at 3:40?
Options:
Explanation:
1. Hour Hand Position: At 3:00, the hour hand is at 90 degrees (3 * 30). In 40 minutes, it moves (40/60) * 30 = 20 degrees. So, the hour hand is at 90 + 20 = 110 degrees.
2. Minute Hand Position: At 40 minutes, the minute hand is at 40 * 6 = 240 degrees.
3. Angle Difference: 240 - 110 = 130 degrees.
✅ Correct Answer: b) 130 degrees
47.
Question: How many times do the hands of a clock coincide in a 24-hour day?
Options:
Explanation:
1. Coinciding: The hands coincide once every hour, but not between 11 and 1.
2. 12-hour cycle: They coincide 11 times in 12 hours.
3. 24-hour cycle: They coincide 22 times in 24 hours.
✅ Correct Answer: b) 22
48.
Question: If January 1st, 2024 is a Monday, what day of the week is January 1st, 2025?
Options:
Explanation:
1. 2024 is a leap year.
2. Number of days: 2024 has 366 days.
3. Odd days: 366 / 7 = 52 weeks and 2 odd days.
4. Shift: Monday + 2 days = Wednesday.
✅ Correct Answer: c) Wednesday
49.
Question: How many odd days are there in a non-leap year?
Options:
Explanation:
1. Non-leap year days: 365 days.
2. Weeks: 365 / 7 = 52 weeks and 1 day.
3. Odd days: 1
✅ Correct Answer: b) 1
50.
Question: If today is Wednesday, what day will it be after 63 days?
Options:
Explanation:
1. Divisibility by 7: 63 is divisible by 7 (63/7 = 9).
2. No odd days: Since there are no odd days, the day will remain the same.
✅ Correct Answer: c) Wednesday
51.
Question: What is the compound interest on ₹10,000 at a rate of 10% per annum for 2 years, compounded annually?
Options:
Explanation:
1. Formula: Amount (A) = Principal (P) * (1 + Rate (R)/100)^Time (T)
2. Calculate the amount: A = 10000 * (1 + 10/100)^2 = 10000 * (1.1)^2 = 10000 * 1.21 = ₹12,100
3. Calculate the compound interest: CI = Amount - Principal = 12100 - 10000 = ₹2,100
✅ Correct Answer: b) ₹2,100
52.
Question: If a sum of ₹8,000 is invested at 5% per annum compounded semi-annually, what is the amount after 1 year?
Options:
Explanation:
1. Adjust rate and time: Rate per period = 5/2 = 2.5%, Number of periods = 1 * 2 = 2
2. Formula: A = P * (1 + R/100)^T
3. Calculate the amount: A = 8000 * (1 + 2.5/100)^2 = 8000 * (1.025)^2 = 8000 * 1.050625 = ₹8,405
✅ Correct Answer: b) ₹8,405
53.
Question: A sum of money becomes ₹13,310 after 3 years at a compound interest rate of 10% per annum, compounded annually. What was the principal amount?
Options:
Explanation:
1. Formula: A = P * (1 + R/100)^T
2. Plug in the values: 13310 = P * (1 + 10/100)^3
3. Simplify: 13310 = P * (1.1)^3 = P * 1.331
4. Solve for P: P = 13310 / 1.331 = ₹10,000
✅ Correct Answer: b) ₹10,000
54.
Question: What is the difference between the compound interest and simple interest on ₹6,000 at 10% per annum for 2 years, compounded annually?
Options:
Explanation:
1. Simple Interest: SI = (P * R * T) / 100 = (6000 * 10 * 2) / 100 = ₹1,200
2. Compound Interest: A = P * (1 + R/100)^T = 6000 * (1 + 10/100)^2 = 6000 * 1.21 = ₹7,260. CI = A - P = 7260 - 6000 = ₹1,260
3. Difference: CI - SI = 1260 - 1200 = ₹60
✅ Correct Answer: b) ₹60
55.
Question: What is the LCM of 12, 15, and 20?
Options:
Explanation:
1. Prime factorization:
- 12 = 22 × 3
- 15 = 3 × 5
- 20 = 22 × 5
2. Identify highest powers: Take the highest power of each prime factor: 22, 3, 5
3. Multiply: 22 × 3 × 5 = 4 × 3 × 5 = 60
✅ Correct Answer: b) 60
56.
Question: Find the smallest number which is exactly divisible by 8, 12, and 18.
Options:
Explanation:
1. This is an LCM problem: The smallest number divisible by all given numbers is their LCM.
2. Prime factorization:
- 8 = 23
- 12 = 22 × 3
- 18 = 2 × 32
3. Identify highest powers: 23, 32
4. Multiply: 23 × 32 = 8 × 9 = 72
✅ Correct Answer: c) 72
57.
Question: What is the HCF of 24, 36, and 48?
Options:
Explanation:
1. Prime factorization:
- 24 = 23 × 3
- 36 = 22 × 32
- 48 = 24 × 3
2. Identify lowest powers: Take the lowest power of each common prime factor: 22, 3
3. Multiply: 22 × 3 = 4 × 3 = 12
✅ Correct Answer: c) 12
58.
Question: Find the greatest number that divides 72 and 108 exactly.
Options:
Explanation:
1. This is an HCF problem: The greatest number that divides both numbers is their HCF.
2. Prime factorization:
- 72 = 23 × 32
- 108 = 22 × 33
3. Identify lowest powers: 22, 32
4. Multiply: 22 × 32 = 4 × 9 = 36
✅ Correct Answer: c) 36
59.
Question: A boat can travel 12 km/h in still water. If the speed of the stream is 4 km/h, what is the boat's speed downstream?
Options:
Explanation:
1. Downstream speed: Boat speed + Stream speed
2. Calculation: 12 km/h + 4 km/h = 16 km/h
✅ Correct Answer: c) 16 km/h
60.
Question: A boat takes 3 hours to travel 36 km upstream and 2 hours to travel the same distance downstream. What is the speed of the stream?
Options:
Explanation:
1. Upstream speed: Distance / Time = 36 km / 3 hours = 12 km/h
2. Downstream speed: Distance / Time = 36 km / 2 hours = 18 km/h
3. Speed of stream: (Downstream speed - Upstream speed) / 2 = (18 - 12) / 2 = 6 / 2 = 3 km/h
✅ Correct Answer: b) 3 km/h
61.
Question: A boat travels at a speed of 10 km/h in still water. If the speed of the stream is 2 km/h, how long will it take the boat to travel 24 km upstream?
Options:
Explanation:
1. Upstream speed: Boat speed - Stream speed = 10 km/h - 2 km/h = 8 km/h
2. Time: Distance / Speed = 24 km / 8 km/h = 3 hours
✅ Correct Answer: b) 3 hours
62.
Question: A boat travels 48 km downstream in 4 hours and returns upstream in 6 hours. What is the speed of the boat in still water?
Options:
Explanation:
1. Downstream speed: 48 km / 4 hours = 12 km/h
2. Upstream speed: 48 km / 6 hours = 8 km/h
3. Speed of boat in still water: (Downstream speed + Upstream speed) / 2 = (12 + 8) / 2 = 20 / 2 = 10 km/h
✅ Correct Answer: b) 10 km/h
Topic: Work and Time with Efficiency Variations
Scenario:
Three individuals, A, B, and C, are tasked with completing a project.
A can complete the project alone in 20 days.
B can complete the same project alone in 30 days.
C is twice as efficient as A.
63.
Question: If A and B work together, how many days will it take them to complete the project?
Options:
Explanation:
1. Work done by A in one day: 1/20
2. Work done by B in one day: 1/30
3. Work done by A and B together in one day: 1/20 + 1/30 = (3+2)/60 = 5/60 = 1/12
4. Time taken by A and B together: 1 / (1/12) = 12 days
✅ Correct Answer: b) 12 days
64.
Question: How many days will C take to complete the project alone?
Options:
Explanation:
1. A's efficiency: A completes 1/20 of the work in one day.
2. C's efficiency: C is twice as efficient as A, so C completes 2 * (1/20) = 1/10 of the work in one day.
3. Time taken by C: 1 / (1/10) = 10 days
✅ Correct Answer: b) 10 days
65.
Question: If A, B, and C work together, how many days will it take them to complete the project?
Options:
Explanation:
1. Work done by A in one day: 1/20
2. Work done by B in one day: 1/30
3. Work done by C in one day: 1/10 (from Question 2)
4. Work done by A, B, and C together in one day: 1/20 + 1/30 + 1/10 = (3 + 2 + 6) / 60 = 11 / 60
5. Time taken by A, B, and C together: 1 / (11/60) = 60/11 days ≈ 5.45 days.
6. The closest whole number is: 5 days.
✅ Correct Answer: b) 5 days (We are rounding to the nearest whole number here, as the exact answer is 60/11 days)
66.
Question: Which of the following words is a synonym for "benevolent"?
Options:
Explanation:
* Benevolent: Means kind, generous, and well-meaning.
* Malicious: Means intending to do harm.
* Generous: Means showing a readiness to give more of something, especially money, than is strictly necessary or expected.
* Cruel: Means willfully causing pain or suffering to others, or feeling no concern about it.
* Selfish: Means lacking consideration for others; concerned chiefly with one's own personal profit or pleasure.
* Therefore, "generous" is the closest synonym.
✅ Correct Answer: b) Generous
67.
Question: Which of the following words is an antonym for "optimistic"?
Options:
Explanation:
* Optimistic: Means having hope and confidence about the future.
* Hopeful: Means feeling or inspiring hope.
* Positive: Means good or useful.
* Pessimistic: Means tending to see the worst aspect of things or believe that the worst will happen.
* Confident: Means feeling or showing confidence in oneself or one's abilities or qualities.
* Therefore, "pessimistic" is the opposite of "optimistic."
✅ Correct Answer: c) Pessimistic
68.
Question: Which of the following words is spelled correctly?
Options:
Explanation:
* The correct spelling is "accommodate," which includes double "c" and double "m."
✅ Correct Answer: c) Accommodate
69.
Question: Which of the following sentences is grammatically correct?
Options:
Explanation:
* In this sentence, "he" and "I" are the subjects; therefore, the pronoun should be in the subjective case, and the convention is to put the other person first.
✅ Correct Answer: c) He and I went to the store.
70.
Question: Change the following sentence from active to passive voice: "The dog chased the cat."
Options:
Explanation:
* Active voice: Subject (dog) performs the action (chased).
* Passive voice: Subject (cat) receives the action.
* The original sentence is in the simple past tense.
* Therefore, the passive voice form should be "was chased."
✅ Correct Answer: b) The cat was chased by the dog.
71.
Question: Change the following sentence from passive to active voice: "The letter was written by her."
Options:
Explanation:
* Passive voice: The letter is the recipient of the action.
* Active voice: She is the doer of the action.
* The original sentence is in the simple past passive form.
* Therefore, the active voice form should be "wrote."
✅ Correct Answer: b) She wrote the letter.
72.
Question: Change the following sentence from active to passive voice: "They are building a new bridge."
Options:
Explanation:
* Active voice: "They" are performing the action of "building."
* Passive voice: "A new bridge" is the recipient of the action.
* The original sentence is in the present continuous tense.
* Therefore, the passive voice form should be "is being built."
✅ Correct Answer: b) A new bridge is being built by them.
73.
Question: Choose the correct tense for the following sentence: "She _______ to Paris last year."
Options:
Explanation:
* "Last year" indicates a specific time in the past.
* The simple past tense is used for actions completed in the past.
* "Went" is the simple past tense of "go."
✅ Correct Answer: b) went
74.
Question: Choose the correct tense for the following sentence: "They _______ football every Sunday."
Options:
Explanation:
* "Every Sunday" indicates a habitual or regular action.
* The simple present tense is used for habitual actions.
* "Play" is the simple present tense of "to play."
✅ Correct Answer: c) play
75.
Question: Choose the correct tense for the following sentence: "By the time he arrived, the movie _______."
Options:
Explanation:
* "By the time he arrived" indicates that one action happened before another in the past.
* The past perfect tense (had + past participle) is used to indicate an action that was completed before another action in the past.
* "Had started" is the past perfect tense.
✅ Correct Answer: c) had started