IBPS PO Quantitative Aptitude: Data Interpretation and Sufficiency questions with solutions

Q1. Read the passage carefully and answer the question. There are two bags A and B having balls of colors red, blue, green, and yellow. They have 3 and 4 colored balls, respectively, not necessarily in the same order. Only one of the bags has yellow-colored balls. In bag A, the difference between the number of red and blue balls is 6. In both bags, the number of green balls is half the number of red balls. The difference between the number of red and blue balls in bag B is 5. The yellow balls are 3 more than the number of green balls in the bag containing yellow balls. The average number of balls in bags A and B are 48 and 37, respectively. Quantity I: Find the difference between the number of blue balls in A and the number of red balls in B. Quantity II: Find the difference between the number of yellow balls in the bag containing them and the number of green balls in bag B.

1. Quantity I > Quantity II
2. Quantity I < Quantity II
3. Quantity I ≥ Quantity II
4. Quantity I ≤ Quantity II

Answer: Quantity I > Quantity II

The totals from the averages help determine the number of balls in each bag, and the color conditions then fix the distribution uniquely. After solving, Quantity I comes out larger than Quantity II.

Q2. The information is about the total number of students and teachers in two organisations A and B. The total number of people in organisation B is 500. The total number of students in organisation A is equal to the number of male teachers in A. The number of male students in A is half the number of female teachers in A. The sum of male students and female teachers in A is equal to the number of male students in B. The number of male teachers in B is equal to the number of female students in B, which is 25 more than the number of female students in B. The number of female teachers in B is 75, and the total number of females in both organisations is 350. Find the total number of students in both organisations.

1. 445
2. 465
3. 451
4. 475

Answer: 475

The problem gives multiple interlinked conditions about male/female students and teachers in two organisations. By forming equations from the totals and the given relationships, the counts in A and B can be determined uniquely. Adding the students in both organisations gives 475.

Q3. A company ABC printed different numbers of books in different years 1947, 1956, 1987, 1998, and 2002 such that the number of books printed was not the same in any year. 66 books were printed in an odd-numbered year which is not 1947. The number of books printed in 1947 is 10 less than that printed in 1987. 59 books were printed in a year before the year in which 61 books were printed, but not immediately before. The number of books printed in 2002 is 2 more than that printed in 1998. What is the difference between the number of books printed in 1956 and 2002?

1. 7
2. 10
3. 8
4. 4

Answer: 8

The clues create a unique assignment of book counts to years. Once the values are placed consistently, the numbers for 1956 and 2002 differ by 8. The answer follows directly from the completed arrangement.

Q4. Three companies A, B, and C manufactured two types of bottles, namely steel and copper. The total number of bottles manufactured by the companies is 1000. The ratio between the number of copper bottles manufactured by A and the number of steel bottles manufactured by B is 13:17. The total number of copper bottles manufactured by C is 164. The number of copper bottles manufactured by B is 25 more than the number of copper bottles manufactured by A. The 14.28% of the number of copper bottles manufactured by B is equal to one-ninth of the total number of steel bottles manufactured by C. The number of steel bottles manufactured by A is 122, which is 21 less than the number of copper bottles manufactured by the same company. The number of copper bottles manufactured by shop D is 25% more than the number of steel bottles manufactured by shop C. Find the ratio of copper bottles manufactured by shop A and D.

1. 143:270
2. 150:271
3. 153:197
4. 111:209

Answer: 143:270

From the statement, steel bottles of A = 122 and this is 21 less than copper bottles of A, so copper bottles of A = 143. Using the given relation, steel bottles of C can be found, and then D's copper bottles are 25% more than C's steel bottles, giving 270. Hence the required ratio is 143:270.

Q5. There are three types of coins, i.e. Gold, Silver, and Copper, in each of three bags A, B, and C. The total number of coins in all the bags is 1510. The number of coins in bag A is 580 and the total number of coins in bag B is 510. The ratio between the number of copper coins in bag A, the number of copper coins in bag B, and the number of gold coins in bag C is 3:2:4 respectively. The number of silver coins in bag B is 60 more than the number of copper coins in bag B. The number of gold coins in bag B is 25% less than the number of silver coins in bag A. The total number of gold coins in all three bags is 570. The ratio of the total number of copper coins in all three bags and the total number of silver coins in all three bags is 20:27. Find the total number of silver coins in bags B and C together.

1. 250
2. 260
3. 270
4. 280

Answer: 260

The data set is a multi-condition caselet involving ratios and totals across three categories. By using the copper ratio and the total in bag B, we can determine copper in B, which directly gives silver in B. Then the overall gold and copper-silver ratio conditions allow the remaining silver in bag C to be found, and the required sum becomes 260.

Q6. Read the information and answer the following question. There are three shops A, B, and C that sold wired and wireless chargers. The number of wired chargers sold by A is 10x, and the ratio of wired chargers to wireless chargers in A is 10:9. The total number of wireless chargers sold by all the shops is 146. B sold (12.5x + 10) wireless chargers, whereas shop C sold 10 wireless chargers less than B. The total number of chargers sold by B and C is 125 and 167 respectively. Q51. Find the ratio of wireless chargers sold by B to wired chargers sold by A.

1. 5:1
2. 3:2
3. 1:2
4. 2:3

Answer: 3:2

The question is a ratio-based caselet. Shop A’s wired sales are given as 10x, and the required comparison is between B’s wireless sales and A’s wired sales. Using the total wireless information and the shop-wise totals, the values simplify to a ratio of 3:2.