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Directions: Read the information carefully and answer the following questions.
A cube of side $C$ cm is placed inside the sphere of radius $R$ cm in such a way that sphere touches all the vertex of the cube. A cone of radius $\sqrt{3}R$ cm and height $H$ cm has volume $3168 \text{ cm}^3$.
What is the ratio of the total surface area of the sphere to the lateral surface area of the cube?
Aptitude Volume and Surface Area Difficulty: Hard
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Directions: Read the table carefully and answer the following question.
The table shows the data about distance (km) covered from one point to another point by the vehicle used between each point and speed of each vehicle (km/h).
Note:
(i) If one person wants to travel from P to S, then he/she can only use a vehicle available at the point P.
(ii) ** means there is no direct connection between given points.
| | P | Q | R | S | Transport Vehicle | Speed (km/h) |
|---|---|---|---|---|---|---|
| P | 0 | 360 | ** | 780 | Train | 60 |
| Q | 540 | 0 | ** | 600 | Taxi | 50 |
| R | 420 | 720 | 0 | ** | Bus | 40 |
| S | 630 | ** | 900 | 0 | Bike | 45 |
A three-digit number PQR, when multiplied by a single digit number X, then the product is 2634. In the number PQR, the digit at tens place is equal to half of X. Which of the following statements is/are true about PQR?
(i) Unit digit is 9
(ii) It is a prime number
(iii) Sum of the digits is 18
Aptitude Number System Difficulty: Medium
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Directions: Read the table carefully and answer the following question.
The table shows the data about distance (km) covered from one point to another point by the vehicle used between each point and speed of each vehicle (km/h).
Note:
(i) If one person wants to travel from P to S, then he/she can only use a vehicle available at the point P.
(ii) ** means there is no direct connection between given points.
| | P | Q | R | S | Transport Vehicle | Speed (km/h) |
|---|---|---|---|---|---|---|
| P | 0 | 360 | ** | 780 | Train | 60 |
| Q | 540 | 0 | ** | 600 | Taxi | 50 |
| R | 420 | 720 | 0 | ** | Bus | 40 |
| S | 630 | ** | 900 | 0 | Bike | 45 |
Find the minimum possible sum of the time (in hours) taken to cover distance from P to S and from R to S.
Aptitude Time and Distance Difficulty: Medium
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Directions: Read the table carefully and answer the following question.
The table shows the data about distance (km) covered from one point to another point by the vehicle used between each point and speed of each vehicle (km/h).
Note:
(i) If one person wants to travel from P to S, then he/she can only use a vehicle available at the point P.
(ii) ** means there is no direct connection between given points.
| | P | Q | R | S | Transport Vehicle | Speed (km/h) |
|---|---|---|---|---|---|---|
| P | 0 | 360 | ** | 780 | Train | 60 |
| Q | 540 | 0 | ** | 600 | Taxi | 50 |
| R | 420 | 720 | 0 | ** | Bus | 40 |
| S | 630 | ** | 900 | 0 | Bike | 45 |
If Hemant travels from P to S via Q and the fair of the vehicle per km from point Q to S is 25% more than that of from P to Q, then the total fair collected is ₹19980. Find the train fare per km.
Aptitude Time and Distance Difficulty: Medium
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Directions: Read the table carefully and answer the following question.
The table shows the data about distance (km) covered from one point to another point by the vehicle used between each point and speed of each vehicle (km/h).
Note:
(i) If one person wants to travel from P to S, then he/she can only use a vehicle available at the point P.
(ii) ** means there is no direct connection between given points.
| | P | Q | R | S | Transport Vehicle | Speed (km/h) |
|---|---|---|---|---|---|---|
| P | 0 | 360 | ** | 780 | Train | 60 |
| Q | 540 | 0 | ** | 600 | Taxi | 50 |
| R | 420 | 720 | 0 | ** | Bus | 40 |
| S | 630 | ** | 900 | 0 | Bike | 45 |
If Gaurav wants to travel from P to R, then find the minimum time required by him to cover this distance.
Aptitude Time and Distance Difficulty: Medium
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Directions: Read the table carefully and answer the following question.
The table shows the data about distance (km) covered from one point to another point by the vehicle used between each point and speed of each vehicle (km/h).
Note:
(i) If one person wants to travel from P to S, then he/she can only use a vehicle available at the point P.
(ii) ** means there is no direct connection between given points.
| | P | Q | R | S | Transport Vehicle | Speed (km/h) |
|---|---|---|---|---|---|---|
| P | 0 | 360 | ** | 780 | Train | 60 |
| Q | 540 | 0 | ** | 600 | Taxi | 50 |
| R | 420 | 720 | 0 | ** | Bus | 40 |
| S | 630 | ** | 900 | 0 | Bike | 45 |
If Vasu travels from P to S and Sanjeet travels from Q to P, then find the difference between the maximum distance travelled by both of them.
Aptitude Time and Distance Difficulty: Easy
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Direction : Study the following information carefully and answer the given question.
Observe the Series I carefully to identify the logic and obtain the value of 'P'. In both of the series, the same logic is applied.
Series I: 60, 68, 14, (P), -294, 786, -1272
Series II: (P-12), Q, R, S, T, U, W
If the average of the values of 'S' and 'U' will be equal to the first term of a newly formed third series, then which of the following statements is/are true? It is assumed that each of the series is following the same logic in this question.
(i) The sum of the values of 'T' and 'W' is the multiple of 9.
(ii) The fourth term of the third series is an odd number.
(iii) The difference between the value of 'Q' and the second term of the third series is 426.
Verbal Reasoning Number Series Difficulty: Hard
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Direction : Study the following information carefully and answer the given question.
Observe the Series I carefully to identify the logic and obtain the value of 'P'. In both of the series, the same logic is applied.
Series I: 60, 68, 14, (P), -294, 786, -1272
Series II: (P-12), Q, R, S, T, U, W
What is the value of 'R'?
Verbal Reasoning Number Series Difficulty: Hard
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Direction :"You are presented with two quantities, labeled as Quantity I and Quantity II. Your task is to solve both quantities and determine the correct relationship between Quantity I and Quantity II. After solving, choose the appropriate option that describes the relationship correctly."
Quantity-I: The monthly income of Tarun is ₹(z + 3300). He spent 'y'% on education and (1/3) of the remaining was spent on house rent. After that ₹652 was spent on travelling and (y + 14)% of the remaining was saved in bank and remaining was saved in the post office. If the amount spent on house rent by him is ₹12826 and (7y² – 476y + 8092 = 0), then find out the 2.5% of 'z'.
Quantity-II: If 1.2P² = 2268750, then find out the value of 'P'.
Aptitude Percentage Difficulty: Hard
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Direction :"You are presented with two quantities, labeled as Quantity I and Quantity II. Your task is to solve both quantities and determine the correct relationship between Quantity I and Quantity II. After solving, choose the appropriate option that describes the relationship correctly."
Quantity-I: The time required for tap 'P' to fill a water tank is 4 hours more than the time taken by tap 'P' and tap 'Q' together to complete the same task. If tap 'P' takes 'p' hours to fill the tank independently, deduce the value of '25p,' given that tap 'Q' can independently fill the tank in 15 hours.
Quantity-II: Determine the number of distinct ways to partition a group of 7 individuals into three subgroups. One of these subgroups must consist of 3 members, while the remaining subgroups should each have 2 members."
Aptitude Pipes and Cistern Difficulty: Hard
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In a plastic bag, there are (a + 5) red rubber bands, (2b - 5) blue rubber bands, and (2.5a - 5) black rubber bands. The number of red rubber bands is 40% less than the number of blue rubber bands, which is 25% more than the number of black rubber bands,
In a separate box, there are (a + b) white rubber bands, (3b - a) orange rubber bands, and (b - a) yellow rubber bands, Calculate the probability of randomly selecting 2 white rubber bands, from the box, given that the selection is done without replacement.
Aptitude Probability Difficulty: Hard
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Three friends, 'X', 'Y', and 'Z', decided to start a business together. They made investments of ₹6,000, ₹8,000, and ₹5,000, respectively. The time for which 'X', 'Y', and 'Z' kept their money invested is 't' months, (t - 3) months, and (t + 3) months, respectively. During the period for which 'X' had his investment, he also worked as a manager for which he receive a monthly salary of ₹3,000 from the gross profit. At the end of the business venture, the amount received by 'X' was ₹25,000 more than that received by 'Z'. The total profit was ₹81,000.
Find the profit share of Y.
Aptitude Partnership Difficulty: Hard
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'S' undertook an investment endeavor by investing ₹'a + 1000' into a scheme yielding a simple interest rate of 20% per annum for a duration of three years. Simultaneously, 'A' ventured into a financial enterprise by investing ₹'a - 4000' in a compound interest scheme at a 20% annual rate for a three-year period. If the difference between interest earned from both investments is ₹1,080, then which of the following statement(s) is/are true?
I. The variable 'a' can take multiple values.
II. The minimal value for 'a' is less than 10,000.
III. 'a' is an even integer.
Aptitude Simple Interest Difficulty: Hard
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Suppose five friends Ritu, Mohani, Aman, Sam and Kiran are appointed to complete a certain piece of work. Ram and Mohani together can complete a work in 24 days. Mohani and Aman together can complete 50% of the work in 15 days. Aman and Sam together can complete the work in 24 days. Ritu and Kiran together can complete 16.66% of the work in 6 days. Sam and Kiran together can complete the work in 20 days.
Suppose Bittu is 50% more efficient than Aman then, what will be the time taken by Bittu alone to complete 40% of the work.
Aptitude Time and Work Difficulty: Hard
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Direction: Study the following information carefully and answer the questions.
The following pie chart shows the distribution of the number of laptops sold by five stores.
<img
src="/api/images/laptop-sales-distribution-pie-chart.png"
alt="Pie chart showing the distribution of the number of laptops sold by five different stores: Store A, Store B, Store C, Store D, and Store E, featuring data points in percentages and degrees with variables y and z."
width="500"
height="400"
loading="lazy"
decoding="async"
class="rounded border border-gray-300 mx-auto my-4"
/>
Conditions:
I. The total number of laptops sold by all the five stores (A, B, C, D and E) taken together is 7200.
II. $(19z - 4y) = 42$
III. $z^2 + 2z - 224 = 0$
Note: The values given in the above given pie chart in the form of degree or percentage form cannot be negative.
If the MRP of each laptop of store A is ₹68000 and $\left(\frac{5}{6}\right)$ of the total number of laptops sold by store A were sold on MRP and remaining were sold at '$a$'% discount, then find out the value of '$a$'. It is assumed that the total amount collected by store A by selling the laptops is ₹122204160.
Aptitude Discount Difficulty: Hard
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Direction: Study the following information carefully and answer the questions.
The following pie chart shows the distribution of the number of laptops sold by five stores.
<img
src="/api/images/laptop-sales-distribution-pie-chart.png"
alt="Pie chart showing the distribution of the number of laptops sold by five different stores: Store A, Store B, Store C, Store D, and Store E, featuring data points in percentages and degrees with variables y and z."
width="500"
height="400"
loading="lazy"
decoding="async"
class="rounded border border-gray-300 mx-auto my-4"
/>
Conditions:
I. The total number of laptops sold by all the five stores (A, B, C, D and E) taken together is 7200.
II. $(19z - 4y) = 42$
III. $z^2 + 2z - 224 = 0$
Note: The values given in the above given pie chart in the form of degree or percentage form cannot be negative.
If the difference between the number of laptops sold by store D and E is 75% less than the number of laptops sold by store F and the ratio between the number of laptops sold by store F and the number of laptops unsold by the same store is $62 : 75$, then find out the number of laptops unsold by store F.
Aptitude Ratio and Proportion Difficulty: Hard
-
Direction: Study the following information carefully and answer the questions.
The following pie chart shows the distribution of the number of laptops sold by five stores.
<img
src="/api/images/laptop-sales-distribution-pie-chart.png"
alt="Pie chart showing the distribution of the number of laptops sold by five different stores: Store A, Store B, Store C, Store D, and Store E, featuring data points in percentages and degrees with variables y and z."
width="500"
height="400"
loading="lazy"
decoding="async"
class="rounded border border-gray-300 mx-auto my-4"
/>
Conditions:
I. The total number of laptops sold by all the five stores (A, B, C, D and E) taken together is 7200.
II. $(19z - 4y) = 42$
III. $z^2 + 2z - 224 = 0$
Note: The values given in the above given pie chart in the form of degree or percentage form cannot be negative.
The average number of laptops sold by store A, C, E and B together is how much more than the average number of laptops sold by store B and D together?
Aptitude Average Difficulty: Hard
-
Direction: Study the following information carefully and answer the questions.
The following pie chart shows the distribution of the number of laptops sold by five stores.
<img
src="/api/images/laptop-sales-distribution-pie-chart.png"
alt="Pie chart showing the distribution of the number of laptops sold by five different stores: Store A, Store B, Store C, Store D, and Store E, featuring data points in percentages and degrees with variables y and z."
width="500"
height="400"
loading="lazy"
decoding="async"
class="rounded border border-gray-300 mx-auto my-4"
/>
Conditions:
I. The total number of laptops sold by all the five stores (A, B, C, D and E) taken together is 7200.
II. $(19z - 4y) = 42$
III. $z^2 + 2z - 224 = 0$
Note: The values given in the above given pie chart in the form of degree or percentage form cannot be negative.
If 38% of the all laptops sold by store E are gaming laptops and remaining are non gaming laptops, then find out the number of non gaming laptops sold by store E.
Aptitude Percentage Difficulty: Hard
-
Direction: Study the following data carefully and answer the questions accordingly.
The given table shows data regarding the total number of vehicles (cars + motorcycles) in five different cities. It also displays the percentage/ number of cars and the percentage of motorcycles in each city relative to the total number of vehicles in that city. Some of the data is missing from the table. You need to calculate the missing data and answer the questions based on it.
| Cities | Total number of vehicles in the cities | Percentage/ number of cars in the city | Percentage of motorcycles in the city |
|---|---|---|---|
| Pune | ___ | 480 | ___ |
| Delhi | ___ | 600 | 25% |
| Jaipur | ___ | 30% | ___ |
| Punjab | 900 | ___ | ___ |
| Haryana | ___ | ___ | 60% |
Suppose the ratio of the number of cars in cities 'Jaipur' and 'Punjab' is 5 : 9, and the difference between the number of motorcycles in city 'Jaipur' and 'Punjab' is 340, what is the total number of vehicles in city 'Jaipur'?
Aptitude Percentage Difficulty: Hard
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Direction: Study the following data carefully and answer the questions accordingly.
The given table shows data regarding the total number of vehicles (cars + motorcycles) in five different cities. It also displays the percentage/ number of cars and the percentage of motorcycles in each city relative to the total number of vehicles in that city. Some of the data is missing from the table. You need to calculate the missing data and answer the questions based on it.
| Cities | Total number of vehicles in the cities | Percentage/ number of cars in the city | Percentage of motorcycles in the city |
|---|---|---|---|
| Pune | ___ | 480 | ___ |
| Delhi | ___ | 600 | 25% |
| Jaipur | ___ | 30% | ___ |
| Punjab | 900 | ___ | ___ |
| Haryana | ___ | ___ | 60% |
Suppose the number of vehicles in the city of 'Punjab' is 25% less than the number of vehicles in the city of 'Pune', what is the percentage of motorcycles among the total number of vehicles in Pune?
Aptitude Percentage Difficulty: Medium
-
Direction: Study the following data carefully and answer the questions accordingly.
The given table shows data regarding the total number of vehicles (cars + motorcycles) in five different cities. It also displays the percentage/ number of cars and the percentage of motorcycles in each city relative to the total number of vehicles in that city. Some of the data is missing from the table. You need to calculate the missing data and answer the questions based on it.
| Cities | Total number of vehicles in the cities | Percentage/ number of cars in the city | Percentage of motorcycles in the city |
|---|---|---|---|
| Pune | ___ | 480 | ___ |
| Delhi | ___ | 600 | 25% |
| Jaipur | ___ | 30% | ___ |
| Punjab | 900 | ___ | ___ |
| Haryana | ___ | ___ | 60% |
Let '$a$' represent the difference between the number of cars and motorcycles in the city of 'Jaipur,' and '$b$' represent the total number of vehicles in the city of 'Jaipur.' Which of the following options accurately expresses the relationship between '$a$' and '$b$'?
Aptitude Percentage Difficulty: Medium
-
Direction: Answer the questions based on the information given below. The given line graph shows the revenue generated from debit card transactions and cash transactions for five different stores, A, B, C, D and E.
<img
src="/api/images/revenue-transactions-line-graph.png"
alt="Line graph showing revenue generated from debit card transactions and cash transactions (in millions) for five different stores: A, B, C, D, and E, featuring data points in variables p and q."
width="500"
height="300"
loading="lazy"
decoding="async"
class="rounded border border-gray-300 mx-auto my-4"
/>
Note:
(a) If the total revenue generated worldwide (from debit card and cash transactions) is less than 400 million, then the store is given a '3' rating.
(b) If the total revenue generated worldwide (from debit card and cash transactions) is between 400 million and 500 million, then the store is given a '2' rating.
(c) If the total revenue generated worldwide (from debit card and cash transactions) is more than 500 million, then the store is given a '1' rating.
(d) The sum of revenue from debit card transactions for stores 'A' and 'E' is 420 million, and the difference between the revenue from cash transactions for stores 'C' and 'D' is 48 million.
How much percent more is the total revenue generated worldwide for the stores that received a '1' rating compared to the revenue generated from cash transactions for store A?
Aptitude Percentage Difficulty: Medium
-
Direction: Answer the questions based on the information given below. The given line graph shows the revenue generated from debit card transactions and cash transactions for five different stores, A, B, C, D and E.
<img
src="/api/images/revenue-transactions-line-graph.png"
alt="Line graph showing revenue generated from debit card transactions and cash transactions (in millions) for five different stores: A, B, C, D, and E, featuring data points in variables p and q."
width="500"
height="300"
loading="lazy"
decoding="async"
class="rounded border border-gray-300 mx-auto my-4"
/>
Note:
(a) If the total revenue generated worldwide (from debit card and cash transactions) is less than 400 million, then the store is given a '3' rating.
(b) If the total revenue generated worldwide (from debit card and cash transactions) is between 400 million and 500 million, then the store is given a '2' rating.
(c) If the total revenue generated worldwide (from debit card and cash transactions) is more than 500 million, then the store is given a '1' rating.
(d) The sum of revenue from debit card transactions for stores 'A' and 'E' is 420 million, and the difference between the revenue from cash transactions for stores 'C' and 'D' is 48 million.
Which of the given store is/are given the rating '2'?
Aptitude Percentage Difficulty: Medium
-
Direction: Answer the questions based on the information given below. The given line graph shows the revenue generated from debit card transactions and cash transactions for five different stores, A, B, C, D and E.
<img
src="/api/images/revenue-transactions-line-graph.png"
alt="Line graph showing revenue generated from debit card transactions and cash transactions (in millions) for five different stores: A, B, C, D, and E, featuring data points in variables p and q."
width="500"
height="300"
loading="lazy"
decoding="async"
class="rounded border border-gray-300 mx-auto my-4"
/>
Note:
(a) If the total revenue generated worldwide (from debit card and cash transactions) is less than 400 million, then the store is given a '3' rating.
(b) If the total revenue generated worldwide (from debit card and cash transactions) is between 400 million and 500 million, then the store is given a '2' rating.
(c) If the total revenue generated worldwide (from debit card and cash transactions) is more than 500 million, then the store is given a '1' rating.
(d) The sum of revenue from debit card transactions for stores 'A' and 'E' is 420 million, and the difference between the revenue from cash transactions for stores 'C' and 'D' is 48 million.
For the store that received a '3' rating, out of the total revenue generated from debit card transaction, 60% was paid by males, and the rest was paid by females. Meanwhile, out of the total revenue generated from cash transactions, 25% was paid by males, and the rest was paid by females. Find the revenue generated worldwide from females for the store that received a '3' rating.
Aptitude Percentage Difficulty: Hard
-
Direction: Answer the questions based on the information given below. The given line graph shows the revenue generated from debit card transactions and cash transactions for five different stores, A, B, C, D and E.
<img
src="/api/images/revenue-transactions-line-graph.png"
alt="Line graph showing revenue generated from debit card transactions and cash transactions (in millions) for five different stores: A, B, C, D, and E, featuring data points in variables p and q."
width="500"
height="300"
loading="lazy"
decoding="async"
class="rounded border border-gray-300 mx-auto my-4"
/>
Note:
(a) If the total revenue generated worldwide (from debit card and cash transactions) is less than 400 million, then the store is given a '3' rating.
(b) If the total revenue generated worldwide (from debit card and cash transactions) is between 400 million and 500 million, then the store is given a '2' rating.
(c) If the total revenue generated worldwide (from debit card and cash transactions) is more than 500 million, then the store is given a '1' rating.
(d) The sum of revenue from debit card transactions for stores 'A' and 'E' is 420 million, and the difference between the revenue from cash transactions for stores 'C' and 'D' is 48 million.
Find the ratio of the total revenue generated from store 'A' and 'B' together from debit card transactions to the total revenue generated from store 'B' worldwide.
Aptitude Ratio and Proportion Difficulty: Medium