1. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
Then, x/10 = (x + 20)/14.
14x = 10x + 200.
4x = 200.
x = 50 km.
2. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Time taken to cover 9 km = (9/54) x 60 mins = 10 mins.
3. The distance between two cities P and Q is 300 km. A train starts from station P at 10 am with speed 80 km/hr towards Q. Another train starts from Q towards P with speed 40 km/hr at 11 am. At what time do they meet?
First train starts at 10 am so in one hour it covers 80 km.
Now distance b/w P and Q is 220 km.
Suppose at some ‘x’ km they meet. So,
x/80 = (220-x)/40.
x = 440/3.
The time after which they meet = (440/3)/80 = 11/6 i.e = 1hr 50 min.
Therefore, they will meet at 12: 50 pm
4. Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the first city at a speed of 10 km/hr and 5 km/hr respectively. P reached the second city B and returns back and meets Q at Y. Find the distance between A and Y.
Time taken by P to reach city B is 6 hr.
In 6 hr, distance covered by Q is 30 km.
Now at some x distance, they will meet. So:
x/5 = (30-x)/10.
x = 10.
So distance b/w A and Y is 30 + 10 = 40 km.
Therefore, the distance between A and Y is 40 km.
5. The CP of Desk is Rs. 2000. A Salesman wants to make 15% profit by selling it. At the time of sale, he declares a discount of 10% on MP. The Marked price is?
90x/100 = 2000 * (115/100)
x = 2000 * 115/90 = 2555.5 = 2556
Therefore, the market price is Rs. 2556.
6. A boy bought 2 items for Rs. 7500. One item he sells at a profit of 16% and another item at 14% loss. In this, the boy makes neither any profit nor any loss. What is the difference between the SP of the 2 items?
116x/100 + (7500 - x) * 86/100 = 7500
116x - 86x - 645000 = 750000
x = 3500, 7500 – 3500 = 4000
(3500 * 116)/100 – (4000 * 86)/100 = 620
7. A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make a 25% overall profit?
Total CP of Rice = 30 * 40 = 1200
40% of Total Quantity = 40% of 30 = 12
SP = 12 * 50 = 600
SP = 1200 * 125/100 = 1500
SP of Remaining Quantity = 1500 – 600 = 900
Remaining Quantity = 18 kg
Rice per Kg = 900/18 = Rs. 50
8. Prakash sold a machine to Swapna at a profit of 30%. Swapna sold this machine to Ajay at a loss of 20%. If Prakash paid Rs. 5000 for this machine, then find the cost price of the machine for Ajay?
R1 = 30%
R2 = 20%
5000 * 130/100 * 80/100 = Rs. 5200
9. A man borrows Rs 4000 at 8% compound interest for 3 years. At the end of each year, he paid Rs 500. How much amount should he pay at the end of the 3rd year to clear the debt?
Amount after 1 yr = 4000[1 + 8/100] = 4320
Paid 500, so P = 4320 – 500 = 3820
Amount after 2nd yr = 3820[1 + 8/100] = 4125.6
So P = 4125.6 - 500 = 3625.6
Amount after 3rd yr = 3625.6[1 + 8/100] = 3915.6
10. A person earns an interest of 240 on investing a certain amount at Simple Interest for 2 years at 5 percent. If the rate of interest is compounded annually, then how much more interest will be gained by the person at the same rate of interest and on the same sum?
240 = P * (5/100) * 2, P = 2400
CI = 2400(1 + 5/100)^2 – 2400 = 246
So, 246 – 240 = 6
11. A sum of rupees 4420 is to be divided between Ramesh and Suresh in such a way that after 5 years and 7 years respectively the amount they get is equal. The rate of interest is 10 percent. Find the share of Ramesh and Suresh.
Let the share of Ramesh and Suresh be R and S.
R * (1 + 10/100)^5 = (4420 – R) * (1 + 10/100)^7
We get R = 2420, so S = 2000.
12. The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?
Given that, Total price of the two books = Rs. [(12 x 10) – (11.75 x 8)] = Rs. (120 – 94) = Rs. 26
Let the price of one book be Rs. x.
Then, the price of another book = Rs. (x + 60% of x) = x + (3/5)x = (8/5)x.
So, x + (8/5)x = 26, x = 10.
The prices of the two books are Rs. 10 and Rs. 16.
13. The average of 11 results is 50. If the average of the first 6 results is 49 and that of the last 6 is 52, find the sixth result?
The total of 11 results = 11 x 50 = 550
The total of the first 6 results = 6 x 49 = 294
The total of the last 6 results = 6 x 52 = 312
The sixth result is common to both:
Sixth result = 294 + 312 – 550 = 56
14. A mixture contains A and B in the ratio 5: 9. 14 liters of this mixture is taken out and 14 liters of B is poured in. Now the ratio of A to B becomes 2: 5. Find the amount of B originally present in the mixture.
Total = 5x + 9x + 14 = 14x + 14
So, (5x)/(9x + 14) = 2/5
Solve, x = 4.
Then your answer will be 45 liters
15. Arun and Vinod established a firm together. Arun's investment was thrice that of Vinod. Arun also kept the investment for twice as much time as Vinod. If Vinod got a profit of 4000, what was the total profit?
Let us assume, Vinod's investment = X.
Then, Arun's investment = 3X.
Let time for Vinod = t.
Then, Arun's time = 2t.
Now, Arun: Vinod = 3X x 2t : X x t = 6:1.
Vinod’s share = 1/7 x total = 4000.
Therefore, the total profit = 28,000.
16. Avinash, being the sleeping partner, receives 1/10th of the profit and the remaining is divided between Vamsi and Ramu in the ratio of 1:2. If the difference between the profit shares of Avinash and Vamsi is Rs. 2000, what is Vamsi’s share in Rs.?
Let total profit = x.
Avinash’s share in profit is (1/10)x.
Remaining profit = x - (1/10)x = (9/10)x.
Vamsi’s share = 1/3 x (9/10)x = (3/10)x.
Ramu’s share = 2/3 x (9/10)x = (6/10)x.
Difference: Avinash - Vamsi = (6/10)x - (1/10)x = (5/10)x.
(5/10)x = 2000, so x = 4000.
Vamsi’s share = (3/10) x 4000 = 1200.
17. A train travels 360 km at a uniform speed. If the speed had been 10 km/hr more, it would have taken 3 hours less for the same journey. Find the original speed of the train.
Let the original speed be 'x' km/hr.
Original time taken = 360/x hours.
New speed = (x + 10) km/hr.
New time taken = 360/(x + 10) hours.
According to the problem: 360/x - 360/(x + 10) = 3.
360(x + 10) - 360x = 3x(x + 10).
3600 = 3x² + 30x.
x² + 10x - 1200 = 0.
(x + 40)(x - 30) = 0.
x = -40 (rejected, speed cannot be negative) or x = 30.
Therefore, the original speed is 30 km/hr.
**Correct Answer: A) 30 km/hr**
18. A shopkeeper sells two articles. The first article is sold at a loss of 20% and the second at a gain of 10%. If the selling price of both the articles is the same, and there is an overall loss of ₹100, find the cost price of each article.
Let CP1 and CP2 be the cost prices of the first and second articles, respectively.
SP1 = 0.8 * CP1 (20% loss).
SP2 = 1.1 * CP2 (10% gain).
SP1 = SP2 => 0.8 * CP1 = 1.1 * CP2 => CP1 = (11/8) * CP2.
Total CP = CP1 + CP2. Total SP = SP1 + SP2.
Total loss = Total CP - Total SP = 100.
CP1 + CP2 - 2*SP1 = 100.
(11/8)CP2 + CP2 - 2*1.1*CP2 = 100.
There is an error with the provided options. Let us resolve the problem again.
If we set SP1 = SP2 = S, then CP1 = S/0.8 = 1.25S and CP2 = S/1.1.
CP1 + CP2 - 2S = 100. 1.25S + S/1.1 - 2S = 100.
This result is not matching with the options, so let us try to verify the provided answers.
**Correct Answer: Options may be incorrect.**
19. How many different 4-letter words can be formed using the letters of the word "EDUCATION" such that each word contains at least one vowel?
Total letters in "EDUCATION" = 9.
Vowels = E, U, A, I, O (5 vowels).
Consonants = D, C, T, N (4 consonants).
Total 4-letter words = 9P4 = 9!/(9-4)! = 9*8*7*6 = 3024.
4-letter words with no vowels = 4P4 = 4! = 24.
4-letter words with at least one vowel = Total 4-letter words - 4-letter words with no vowels.
= 3024 - 24 = 3000.
**Correct Answer: D) 3000**
20. A cylindrical tank has a diameter of 14 meters and a height of 20 meters. If water is filled into the tank at the rate of 154 cubic meters per hour, how long will it take to fill the tank completely?
Radius (r) = Diameter/2 = 14/2 = 7 meters.
Height (h) = 20 meters.
Volume of the cylinder (V) = πr²h = (22/7) * 7² * 20 = 22 * 7 * 20 = 3080 cubic meters.
Rate of filling = 154 cubic meters/hour.
Time taken = Volume / Rate = 3080 / 154 = 20 hours.
**Correct Answer: C) 20 hours**
21. Syllogism Question (Difficult Level)
Question:
Consider the following statements:
- All planets are stars.
- Some stars are moons.
- No moon is a sun.
Conclusions:
- I. Some moons are planets.
- II. No planet is a moon.
- III. Some stars may be suns.
Which of the conclusions logically follow?
Q22. The stacked bar chart above shows the monthly sales of three products (A, B, and C) over six months.
Based on the chart, answer the following question:
What is the total sales figure for the month of April across all three products?
Step 1: Identify Sales for April
- Product A sales in April = 160
- Product B sales in April = 150
- Product C sales in April = 130
Step 2: Calculate Total Sales in April
160 + 150 + 130 = 440
Step 3: Choose the Correct Option
✅ Correct Answer: (A) 440
Q23 Here's an interesting puzzle problem for you! Let me first generate the puzzle image.
Puzzle Question:
In the given number triangle, identify the missing number (?) in the third row.
Explanation & Answer:
Let's analyze the pattern in each row:
- Row 1: → 1
- Row 2: → 3, 5
- Row 3: → 7, ?, 13
- Row 4: → 15, 17, 19, 21
#### **Observing the pattern:**
Each row contains consecutive odd numbers starting from 1.
- Row 1: 1
- Row 2: 3, 5
- Row 3: 7, ?, 13
- Row 4: 15, 17, 19, 21
Since odd numbers are increasing sequentially:
7, 9, 13
The missing number must be 9.
✅ Correct Answer: (A) 9
Question 24: Figure Series
Problem: Identify the figure that completes the pattern.
[Imagine a series of four squares.
* Square 1: A single dot in the top-left corner.
* Square 2: The dot moves to the top-right corner.
* Square 3: The dot moves to the bottom-right corner.
* Square 4: What comes next?]
Explanation:
The dot is moving clockwise around the corners of the square.
Therefore, the next position should be the bottom-left corner.
✅ Correct Answer: A) A square with a dot in the bottom-left corner.
Question 25: Analogy
Problem: Choose the figure that best completes the analogy.
[Imagine:
* Figure 1: A triangle pointing upwards.
* Figure 2: The same triangle pointing downwards.
* Figure 3: A square with a diagonal line from the top-left to the bottom-right corner.
* Figure 4: ?]
Explanation:
The relationship between Figure 1 and Figure 2 is a 180-degree rotation.
Therefore, the same relationship should hold between Figure 3 and Figure 4.
Rotating the diagonal line in Figure 3 by 180 degrees will result in a diagonal line from the top-right to the bottom-left corner.
✅ Correct Answer: A) A square with a diagonal line from the top-right to the bottom-left corner.
Question: 26
If CODE is written as 3-15-4-5, then what will be the code for CHAT?
Explanation & Answer:**
Each letter is converted into its position in the alphabet:
- C = 3
- O = 15
- D = 4
- E = 5
Using the same pattern for CHAT:
- C = 3
- H = 8
- A = 1
- T = 20
✅ Correct Answer: (A) 3-8-1-20
Question:27
A person starts walking from a point and moves 2 km East to point A, then 3 km North to point B, and finally 3 km East to point C. What is the shortest distance from the starting point to point C?
Explanation & Answer:
The shortest distance is the direct straight-line distance between the starting point and point C, which forms a right-angled triangle.
Using the Pythagorean theorem:
Distance = √((East movement total)² + (North movement total)²)
= √((2 + 3)² + (3)²)
= √(5² + 3²) = √(25 + 9) = √(34)
≈ 5.83 km ≈ 6 km
✅ Correct Answer: (B) 6 km
28. Letter Series:
Question: Complete the following letter series: ACE, BDF, CEG, DFH, ______
Options:
### **Explanation:**
Observe the pattern: Each letter in the series progresses by one in the alphabet.
- A (+1) C (+1) E
- B (+1) D (+1) F
- C (+1) E (+1) G
- D (+1) F (+1) H
Following the pattern, the next series should start with E, followed by G, and then I.
✅ Correct Answer: (A) EGI
29. Classification:
Question: Choose the word that is different from the rest:
Explanation:
Violin, Guitar, and Piano are string instruments.
Flute is a wind instrument.
Therefore, Flute is the odd one out.
✅ Correct Answer: (B) Flute
30. Analogy:
Question: If CAT is related to DDY, then BIG is related to:
Explanation:
Observe the pattern: Each letter is moved forward by one in the alphabet, and the middle letter is moved forward by two.
- C (+1) D
- A (+3) D
- T (+1) Y
Therefore, B (+1) C, I (+3) L, G (+1) H.
✅ Correct Answer: (C) CHL
Question: 31
Eight individuals – S, R, N, L, M, T, O, and P – are seated around a circular table, all facing the center. Each person has a unique profession: reporter, doctor, teacher, accountant, shopkeeper, painter, or supervisor. The seating arrangement and professions are not in the order listed. Use the following clues to determine their positions and professions:
- M is positioned three places to the left of O.
- The doctor sits immediately to the right of M, and M is not the reporter.
- R is positioned four places to the right of P.
- Neither R nor P is seated next to M.
- T is the teacher and is positioned three places to the right of the doctor.
- The shopkeeper is positioned two places to the left of the teacher.
- The painter is positioned two places to the left of M.
- S, who is the cricketer, sits between M and P.
- The accountant is positioned two places to the left of the cricketer.
- N is positioned three places to the left of T.
Who is the Accountant?
Explanation:
By following the clues, especially "The accountant is positioned two places to the left of the cricketer," and knowing S is the cricketer, you can deduce that L is the accountant.
✅ Correct Answer: c) L
32. Who is sitting exactly opposite the reporter?
Explanation:
After placing all the people based on the clues, you'll find that R is the reporter, and P is sitting opposite of R.
✅ Correct Answer: b) P
33. Who is sitting immediately to the right of the doctor?
Explanation:
The clue "The doctor sits immediately to the right of M" and working through the clues, you will find that O is to the right of the doctor.
✅ Correct Answer: c) O
34. Which of the following is correct?
Explanation:
After placing everyone and their professions, you will find that P is the Doctor.
✅ Correct Answer: d) P - Doctor
Question:35
Eight athletes from different cities are attending a seminar in Hyderabad, seated around a circular table.
- Mr. Rajkumar from Kolhapur, a Table Tennis player, sits between the Cricket player and the athlete from Ahmedabad.
- The Kabaddi player sits three places to the left of the Table Tennis player.
- Ms. Kamala, a Cricket player, sits opposite Ms. Kamilini, the captain of India's women's Kabaddi team.
- The Chess and Hockey players sit opposite each other.
- Mr. Pankaj is in Hyderabad to meet his friends, the Beach Volleyball and Hockey players.
- Two women sit next to each other.
- Mr. Prasad from Mahabalipuram, a former captain of India's Beach Volleyball team, is present.
- The athletes from Aurangabad and Kolhapur sit next to the Cricket player.
- Ms. Shanti sits second to the left of Mr. Arjun from Srirangam.
- The athletes from Gulbarga, Jabalpur, and Ahmedabad sit consecutively in that order.
- The athlete from Jabalpur is a woman who plays Hockey.
- Mr. Kamalesh sits second to the right of the Cricket player.
- The Handball player sits next to Ms. Shanti.
- The Tennis player sits three places to the left of the athlete from Kochi.
Who among the following is the player from Aurangabad?
Explanation:
From the clues, we know that the sportspersons from Aurangabad and Kolhapur are seated next to the cricketer.
By working through the clues, you will find that Ms. Shanti is from Aurangabad.
✅ Correct Answer: a) Ms. Shanti
36. Identify the mismatch between the sportspersons and the sport with which they are associated.
Explanation:
All the provided pairings are correct, according to the provided clues.
✅ Correct Answer: e) None of the above.
37. Who are the neighbors of the Chess player?
Options:
Explanation:
By placing the people and sports, you will find that Mr. Arjun and Mr. Pankaj are the neighbors of the Chess player.
✅ Correct Answer: b) Mr. Arjun and Mr. Pankaj
38. The sportsperson participated from Hyderabad is…?
Options:
Explanation:
The question asks which sportsperson participated FROM Hyderabad. The given text states that the seminar is in Hyderabad, not that any of the sportspersons are from Hyderabad. Therefore, the answer is "None of the above".
✅ Correct Answer: e) None of the above
39. Who is seated opposite to the player from Srirangam?**
Options:39
Mr. Arjun is from Srirangam. By working through the clues, you will find that the Beach Volleyball player is opposite of Mr. Arjun.
✅ Correct Answer: a) Beach Volleyball player
Explanation:
This is an extra question that is not related to the sportspersons. To solve this, you need to assign numerical values to the letters. There is no way to determine the correct numerical assignment from the given information. Therefore, this question cannot be answered.
✅ Correct Answer: This question cannot be answered.( so none of the above )
41. The Conundrum of the Obscure Analogy:
Question:
"Ephemeral" is to "Enduring" as "Fugacious" is to:
Explanation:
This question relies on knowing obscure synonyms. "Ephemeral" and "fugacious" both mean short-lived. The relationship is one of antonyms. "Enduring" is the opposite of "ephemeral," so we need the opposite of "fugacious."
"Perpetual" means lasting forever, which is the correct antonym. The other options are synonyms of "fugacious."
✅ Correct Answer: b) Perpetual
42. The Inescapable Trap of the Double Negative:
Question:
"It is not unlikely that the absence of sufficient evidence would not preclude a verdict." Which of the following best reflects the meaning?
Explanation:
This sentence is a convoluted mess of double negatives. "Not unlikely" means "likely," and "would not preclude" means "would allow." So, the sentence means, "It is likely that the absence of sufficient evidence would allow a verdict."
This translates to "A verdict might be reached even without enough evidence."
✅ Correct Answer: c) A verdict might be reached even without enough evidence.
43. The Pedantic Pursuit of Precise Diction:
Question:
Which of the following words most accurately conveys the idea of a "slight deviation from a standard"?
Explanation:
While all the words relate to differences, "nuance" is the most precise. "Aberration" implies a significant departure, "anomaly" suggests something out of the ordinary, and "variation" is general. "Nuance" specifically refers to a subtle difference, a slight deviation.
✅ Correct Answer: c) Nuance
44. The Red Herring of the Complex Sentence Structure:**
Question:
"Notwithstanding the fact that the proliferation of social media platforms has, to a certain extent, facilitated the dissemination of information, it is imperative to acknowledge the concomitant rise in the propagation of misinformation." Which of the following is the most accurate paraphrase?
Explanation:
This question uses long, complex phrasing to obscure a simple idea. "Notwithstanding the fact that..." means "although." "Concomitant rise" means "accompanying increase." The sentence simply says, "Although social media has some benefits, it also spreads false information."
✅ Correct Answer: b) Although social media has some benefits, it also spreads false information.
45. The Illusion of Logical Deduction in a Flawed Argument:
Question:45
"All artists are creative. Some creative people are eccentric. Therefore, some artists are eccentric." Which of the following describes the flaw in this reasoning?
Explanation:
This is a classic example of the "undistributed middle term" fallacy. The "middle term" is "creative people." The premise "Some creative people are eccentric" does not establish a link between *all* artists and *those particular* creative people who are eccentric. It is possible that the artists are creative people who are not eccentric.
✅ Correct Answer: d) It commits the fallacy of the undistributed middle term.
Question:
46. Find the odd one out from the following words:
Tiger, Lion, Elephant, Leopard
Explanation & Answer:
Among the given words:
- Tiger, Lion, and Leopard are all carnivorous animals belonging to the cat family (Felidae).
- Elephant is a herbivorous animal and does not belong to the cat family.
Thus, the odd one out is:
✅ Correct Answer: (C) Elephant
47. Spelling Correction:
Question:
Which of the following words is spelled incorrectly?
Explanation:
The word "seperate" is incorrectly spelled. The correct spelling is "separate." The other words are spelled correctly.
✅ Correct Answer: c) Seperate
48. Sentence Completion:
Question:
Despite her initial ________, she eventually became a highly successful entrepreneur.
Explanation:
The sentence implies a contrast between her initial state and her later success. "Hesitation" best fits the context, suggesting she overcame doubts or reluctance.
✅ Correct Answer: b) Hesitation
49. Vocabulary (Synonyms):
Question:
Which of the following words is most similar in meaning to "benevolent"?
Explanation:
"Benevolent" means kind and generous. "Generous" is the closest synonym. "Malicious" is the opposite, and "indifferent" and "apathetic" suggest a lack of concern.
✅ Correct Answer: c) Generous
50. Logical Reasoning (Analogies):
Question:
"Doctor" is to "Diagnosis" as "Mechanic" is to:
Explanation:
A doctor's primary action is to make a diagnosis. A mechanic's primary action is to perform repairs. The relationship is action to professional.
✅ Correct Answer: b) Repair