List of top Data Insights Questions

Buckets X and Y contained only water and bucket Y was 1/2 full. If all of the water in bucket X was then poured into bucket Y, what fraction of the capacity of Y was then filled with water?
(1) Before the water from X was poured, X was 1/3 full.
(2) X and Y have the same capacity.
A shopkeeper mixes rice of two types costing x and y per kg in the ratio 10:7, respectively. He sells the resulting mixture at 210 per kg making a profit of 19 percent. What is the price (per kg) of the cheaper rice?
Statement 1: The price of the expensive rice is 200 per kg.
Statement 2: The mean cost of both the type of rice is 180 per kg
Among the given schools, the school with the highest proportion of students failing in Chemistry out of the total number of students failing is \underline{\hspace{1cm}. For that school, the number of students failing in Physics is approximately \underline{\hspace{1cm}}% of the total failed students.}
Neha is organising a weekend workshop and needs to print 200 brochures. She is considering two printing services: a nearby print shop and an online printing service. At the nearby print shop, each brochure will cost \$m with no additional costs. Each brochure will cost a bit less at \$n at the online service, but there's a flat setup fee of \$50. These are the only costs involved. Neha calculated that by choosing the online service over the print shop for 200 brochures, she would save exactly \$290. Select a value for m and n that are jointly consistent with the information provided. Make only two selections, one in each column.
A fruit seller sold 4 kg of oranges at Rs. 120 and incurred a loss of 25%. So, he decided to mark up the price of the remaining fruits. He made a total revenue of Rs. 1000 and an overall profit of 25%. What markup is made on the remaining fruits and the total quantity sold?
Options (Markup, Quantity): (37.5, 40), (40, 20), (20, 25), (25, 32.75)
A company placed orders with Suppliers A and B, buying at least eight units from each.
Supplier A's pricing: A fixed fee of \$120, with the first eight units at \$25 each, and \$7 for every additional unit.
Supplier B's pricing: A fixed fee of \$180, with the first eight units at \$18 each, and \$12 for each extra unit. After all purchases, including fixed costs, the average price per unit was \$23.
Select the number of units purchased from Supplier A and the number of units purchased from Supplier B that are jointly consistent with the given information. Make only two selections, one in each column.
A team of 5 must be selected from 4 men and 4 women. At least 2 men and 2 women must be included. X is the total number of valid teams possible if A and B (both women) refuse to work together. Y is the total number of valid teams possible when C (a man) must be included, and D (a woman) is included. Find the values of X and Y.
Options for X: \{30, 32\}
Options for Y: \{18, 24, 30, 36, 48\}
S is a set of consecutive numbers. What is the size of the set?
i) There are two multiples of 5 in the set.
ii) There are seven multiples of 2 in the set.
A retail petrol seller mixes petrol that costs him Rs. 70 per litre with kerosene and sells the mixture at Rs. 77 per litre. What is his profit percentage?
i) He bought 10 litres of kerosene at 60 per litre.
ii) The total profit earned is Rs. 240.
After a fundraiser, the event organisers surveyed all the participants who attended about how many different types of sweets they had during the party. The attendants could have taken any number of sweets available of any kind. The chart below shows the percentage of people surveyed who consumed a particular type of sweet. The participants could have taken one piece or more of the sweets they consumed.
Chart Data (picked by percentage): Ice-cream (80%), Chocolate (55%), Custard (75%), Tiramisu (60%), Jello (40%), Halwa (55%), Donuts (48%).
According to the data, the maximum percentage of people who would have taken at least one of every sweet would be \underline{\hspace{1cm}, while the minimum percentage of people who would have taken at least one sweet would be \underline{\hspace{1cm}}.}
The chart below displays the total number of online queries received by the tech company Citrus and the percentage of these queries resolved each day from Monday to Friday. Use the drop-down menus to fill in the blanks in each of the following statements based on the information given by the graph.
Chart Data - Left Side (% Resolved):

Mon: Quality(20), Quantity(10), Delivery(10)
Tue: Quality(40), Quantity(60), Delivery(30)
Wed: Quality(20), Quantity(50), Delivery(20)
Thu: Quality(30), Quantity(40), Delivery(40)
Fri: Quality(40), Quantity(50), Delivery(50)
Chart Data - Right Side (Total Queries):

Mon: Quality(100), Quantity(100), Delivery(100) → Total 300
Tue: Quality(150), Quantity(150), Delivery(100) → Total 400
Wed: Quality(100), Quantity(100), Delivery(100) → Total 300
Thu: Quality(200), Quantity(100), Delivery(200) → Total 500
Fri: Quality(150), Quantity(100), Delivery(150) → Total 400
Statement 1: The graph shows that the maximum number of queries about Delivery is resolved on \underline{\hspace{1cm}.}
Statement 2: The graph shows that on Friday, the total number of online queries resolved for all three parameters was the \underline{\hspace{1cm} highest.}
The distance between Town X and Town Y is 150 miles. Car A leaves Town X for Town Y, and sometime later, Car B leaves Town Y for Town X. If the two cars meet exactly halfway between Town X and Town Y, what is the speed of Car B?
(1) Car B leaves Town Y exactly 45 minutes after Car A leaves Town X.
(2) Car B travels at a speed 10 mph faster than Car A.
If \(7x = 4y = 9z\), what is the value of \(9x - 5y + 4z\)?
Statement 1: \(3x - y = \frac{5}{14}\)
Statement 2: \(5y + 2z = \frac{53}{18}\)

A historical research archive is curating three new collections of ancient manuscripts. Each collection will contain four manuscripts: two from classical antiquity and two from the medieval period. Moreover, no single manuscript may appear in all three collections, and no two collections may share more than one of the same manuscript. It is further known that at least one collection must include both a manuscript by Homer and a manuscript by Bede. So far, three manuscripts in each collection have been selected:

Collection 1Collection 2Collection 3
Homer (antiquity)Bede (medieval)Augustine (medieval)
Virgil (antiquity)Anselm (medieval)Hildegard of Bingen (medieval)
Hildegard of Bingen (medieval)Plato (antiquity)Homer (antiquity)

Select a manuscript that must be added to one of the collections, and a manuscript that cannot be added to any collection. Make only two selections, one for each column.

Correct Selections:

  • Must be added to one of the collections: Bede (medieval)
  • Cannot be added to any collection: Homer (antiquity)
Raju, a cake seller, mixes flour, cream, and sugar in a ratio of 5:3:2 and sells it at the cost price. Their prices are in the ratio 4:10:5. What ratio should the three be mixed in to get a 10% profit selling at the earlier proportions' price?
i) The proportion of sugar should remain the same.
ii) The price of sugar is Rs. 30 per kg
In a meeting held by ACS, there were 10 attendees. If N attendees are selected to deliver speeches during the meeting, and it is given that N is a positive integer, what is the value of N?
Statement 1: N is a multiple of 3.
Statement 2: There are 210 ways to select the N attendees to deliver speeches.