English
Hindi
Bengali

Question

Download Solution PDF

In a party of 150 persons, 75 persons take tea, 60 persons take coffee and 50 persons take milk. 15 of them take both tea and coffee, but no one taking milk takes tea. If each person in the party takes at least one drink, then what is the number of persons taking milk only ? 

This question was previously asked in
CDS Elementary Mathematics 16 April 2023 Official Paper
Download PDF Attempt in App
View all CDS Papers >
  1. 50
  2. 40
  3. 30
  4. 20

Answer (Detailed Solution Below)

Option 3 : 30
Free Tests
View all Free tests >
Free
UPSC CDS 01/2025 General Knowledge Full Mock Test
120 Qs. 100 Marks 120 Mins
Start Now

Detailed Solution

Download Solution PDF

Calculation:

Let, x number of persons taking milk only.

According to the question

60 + 15 + (x - 5) + (50 - x) + x = 150

120 + x = 150

x = 150 - 120 = 30

∴ The required value is 30.

Download Solution PDF
Latest CDS Updates

Last updated on Jun 25, 2025

-> The UPSC CDS Exam Date 2025 has been released which will be conducted on 14th September 2025.

-> Candidates had applied online till 20th June 2025.

-> The selection process includes Written Examination, SSB Interview, Document Verification, and Medical Examination.  

-> Attempt UPSC CDS Free Mock Test to boost your score.

-> Refer to the CDS Previous Year Papers to enhance your preparation. 

‹‹ Previous Ques
Next Ques ››
Exams Tests Super Practice

More Venn Diagrams Questions

Q1.In a party of 150 persons, 75 persons take tea, 60 persons take coffee and 50 persons take milk. 15 of them take both tea and coffee, but no one taking milk takes tea. If each person in the party takes at least one drink, then what is the number of persons taking milk only ? 
Q2.In a group of 50 persons, 16 drink tea but not coffee and 30 drink tea, how many drink tea and coffee both?
Q3.A class has 175 students. The number of students studying one or more of the subjects in this class is as below : Mathematics 100, Physics 70, Chemistry 46, Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 28, Mathematics, Physics and Chemistry 18. The number of students enrolled in Mathematics alone is : 
Q4.Find the difference between the sum of the numbers surrounded by one figure and the sum of the numbers surrounded by two figures.
Q5.How many received medals in exactly one of three sports ?
Q6.How many received medals in at least two of three sports ?
Q7.How many received medals in exactly two of the three sports ?
Q8.How many candidates passed in two or more subjects?
Q9.What is the percentage of candidates who failed in at least one subject?
Q10.What is the percentage of candidates who failed in only one subject?

More Sets Questions

Q1.In a class of 240 students, 180 passed in English, 130 passed in Hindi and 150 passed in Sanskrit. Further, 60 passed in only one subject, 110 passed in only two subjects and 10 passed in none of the subjects. How many passed in all three subjects?
Q2.Consider the following statements: I. The set of all irrational numbers between \(\sqrt{12}\) and \(\sqrt{15}\) is an infinite set. II. The set of all odd integers less than 1000 is a finite set. Which of the statements given above is/are correct?
Q3.Which of the following statements are true about the sets. A. 0 EØ B. Ø E {0} C. Ø E {Ø} D. {Ø} ∈ {Ø} E. {Ø} ⊂ {Ø, {Ø}} Choose the correct answer from the options given below:
Q4.If A = {x : x + 1 ≤ 7, x ∈ N} and B = {x : x + 3 > 5, x ∈ N}, then A ∩ B is
Q5.If set A = {1, 3, 5, 7}, set B = {1, 4, 7}, find the value of A − B.
Q6.If the Cartesian product of two sets A and B(A × B) = {(3, 2), (3, 4), (5, 2), (5, 4)}, find set A.
Q7.A ∪ (B ∩ C) = ____________
Q8.If A = {a, b}, B = {c, d} and C = {d, e}, then { (a, c), (a, d), (a, e), (b, c), (b, d), (b, e) is equal to 
Q9.For any set A, (A')' is equal to:
Q10.If A = {2, 3, 4} and B = {3, 5} then A ∪ B will be:
Suggested Test Series
View All >
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with 4 Free Tests
Start Free Test
UPSC CDS Mock Test Series 02/2025
288 Total Tests with   4 Free Tests
Start Free Test

More Mathematics Questions

Q1.If cosec θ + cot θ = p, then \(\rm\frac{p^2-1}{p^2+1}\) equal:
Q2.In a binomial distribution, if the mean is 6 and the standard deviation is √2, then what are the values of the parameters n and p respectively?
Q3.Three perfect dice D1, D2 and D3 and are rolled. Let x, represent the numbers on D1, D2 and D3 respectively. What is the number of possible outcomes such that x < y < z?
Q4.Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces shown is an ace (one)?
Q5.The occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability that out of 6 workers chosen at random, 4 or more will suffer from the disease?
Q6.Two perfect dice are thrown. What C is the probability that the sum of the numbers on the faces is neither 9 nor 10?
Q7.Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?
Q8.A fair coin is tossed till two heads occur in succession. What is the probability that the number of tosses required is less than 6?  
Q9.The mean of the series x1, x2...xn is x̅ If xn is replaced by k, then what is the new mean?
Q10.Let \(\rm \Sigma_{i=1}^9x_i^2=885\) If M is the mean and σ is the standard deviation of  x1, x2, x3.....x9 then what is the value of M2 + σ2?
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti king teen patti real teen patti yas teen patti master king teen patti casino apk