Exams › IBPS PO › Quantitative Aptitude

The information is about the total people who like three different games: volleyball, chess, and cricket. The people who like only volleyball are $(x+10)$, and the people who like only chess are 15 less than those who like only volleyball. The people who like only cricket are 28. The average number of people who like only one game is 21. The number of people who like all three games together is 50. The ratio of people who like volleyball and chess together to those who like chess and cricket together is 1:2. The total number of people who like chess is 96. Find the ratio of people who like only cricket and chess together to people who like only volleyball.

1. 24:25
2. 25:24
3. 15:16
4. 10:9

Correct answer: 24:25

Solution

The average of the three "only one game" groups is 21, so their total is 63. With only cricket = 28 and only chess being 15 less than only volleyball, the only volleyball count comes out to 25 and only chess to 10. Using the total chess count and the given overlap ratio, the required ratio simplifies to 24:25.

Related IBPS PO Quantitative Aptitude questions

• Out of a total of 85 children playing badminton or table tennis, the total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of girls, and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children, and a total of 12 children play both badminton and table tennis. What is the number of girls playing only badminton?
• From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are included. In how many ways can it be done?
• In how many different ways can the letters of the word LEADING be arranged so that the vowels always come together?
• In how many different ways can the letters of the word CORPORATION be arranged so that the vowels always come together?
• Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
• In how many ways can the letters of the word "LEADER" be arranged?

⚔️ Practice IBPS PO Quantitative Aptitude free + battle 1v1 →