Comprehension
Instructions: Study the following information carefully and answer accordingly.
In a competition, among a certain number of participants (Boy + Girl), some participate in both the events of Dancing and Singing while some of them participate in Singing or Dancing alone.
Bạn đang xem: how many are there in the competition
The ratio of Boys vĩ đại Girls who participate in Dancing and Singing is 4 : 3 and 8 : 13 respectively, while the ratio of Boy vĩ đại Girl who participates in both the events of Singing and Dancing is 2 : 1 and the ratio of Boys vĩ đại Girls who participate only in the Singing sự kiện is 1 : 2. The participation of boys in the Dancing sự kiện alone is 10 more phàn nàn the Girls who participate in it. Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.
This question was previously asked in
SBI PO Prelims Memory Based Paper (Held on:21 November 2021 Shift 3)
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- 200
- 185
- 205
- 194
- None of these
Answer (Detailed Solution Below)
Option 5 : None of these
Free
Error Spotting - The Beginning
10 Questions 10 Marks 13 Mins
Given:
Ratio of Boys vĩ đại Girls who participate in Dancing = 4 : 3
Ratio of Boys vĩ đại Girls who participate in Singing = 8 : 13
Ratio of Boy vĩ đại Girl who participates in both the events of Singing and Dancing = 2 : 1
Ratio of Boys vĩ đại Girls who participate only in the Singing sự kiện = 1 : 2
participation of boys in the Dancing sự kiện alone is 10 more phàn nàn the Girls participation in Dancing alone
Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone
Concept:
Total participant in Dance = participate only in Dance + participate in both Dancing and Singing
Total participant in Singing = participate only in Singing + participate in both Dancing and Singing
Total participant in competition = participate only in Dance + participate in both Dancing and Singing + participate only in Singing
Calculation:
Let number of Girl participate only in nhảy = x
So, Number of Boys participate only in nhảy = x + 10
Number of Boys participate in both Dancing and Singing = (20/100) × (x + 10)
⇒ (x + 10)/5
Number of Girls participate in both Dancing and Singing = (1/2) × {(x + 10)/5}
⇒ (x + 10)/10
Number of Boys participate in dance/Number of girls participate in dance = 4/3
4/3 = {(x + 10) + (x + 10)/5}/{x + (x + 10)/10}
⇒ 2/3 = (6x + 60)/(11x + 10)
⇒ 18x + 180 = 22x + 20
⇒ 4x = 160
Xem thêm: phân tích bài thơ tức cảnh pác bó
⇒ x = 40
Number of Girl participate only in nhảy = 40
Number of Boys participate only in nhảy = 40 + 10
⇒ 50
Number of Boys participate in both Dancing and Singing = (40 + 10)/5
⇒ 10
Number of Girls participate in both Dancing and Singing = (40 + 10)/10
⇒ 5
Number of Boys participate in dance = 50 + 10
⇒ 60
Number of girls participate in dance = 40 + 5
⇒ 45
Number of Boys in singing/Number of Girls in singing = 8/13
8/13 = (10 + y)/(5 + 2y)
⇒ 40 + 16y = 130 + 13y
⇒ 3y = 90
⇒ nó = 30
Number of Boys in singing only = 30
Number of Girls in singing only = 2 × 30
⇒ 60
Number of Boys in singing = 30 + 10
⇒ 40
Number of Girls in singing = 60 + 5
⇒ 65
Total participant in competition = (50 + 40) +(10 + 5) + (30 + 60)
⇒ 90 + 15 + 90
⇒ 195
Xem thêm: phân tích 10 câu thơ giữa bài đồng chí
∴ Total 195 participants were there in the competition.
Last updated on Oct 27, 2023
SBI PO Admit Card Out! The State Bank of India released the admit thẻ on its official trang web on 23 October 2023. The admit thẻ has been released for the prelims exam which is scheduled from 1st vĩ đại 6th November 2023. The last date vĩ đại tải về the admit thẻ is 6th November 2023. Earlier, A total of 2000 vacancies were released under under SBI PO 2023-24 Recruitment. Candidates had started applying online on 7th September 2023. Aspirants who qualify the Phase-I Prelims will be eligible vĩ đại attend the Phase-II Mains, followed by Phase-III Psychometric Test, and Interview & Group Exercises before final selection. As per the latest notification, SBI PO Prelims is tentatively scheduled on November 2023, Mains on December 2023/January 2024 and Psychometric Test, Interview & Group Exercises on January / February 2024. The SBI PO Admit Card for Prelims will be available from 2nd week of October 2023 onwards. The candidates can kiểm tra the SBI PO Previous Year Papers which helps vĩ đại get the difficulty level of the exam and candidates are also advised vĩ đại attempt the SBI PO Test Series which helps vĩ đại get an experience of actual examination.
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