Question Bank  Modern Math

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Number of Questions: 9
Topic: Modern Math
Answer key available? : No
Source: Elite's Grid forum

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q1) In a class, students use three mobile applications  Whatsapp, Line and WeChat. The number of students who use Whatsapp, Line and WeChat is 80, 54 and 66 respectively. Twelve students use Whatsapp and WeChat, but not Line. Six students use Whatsapp and Line, but not WeChat. Twenty two students use Line and WeChat. The total number of students in the class is ten times the number of students who use all the three applications. If 16 students use none of the three applications, then find the number of students in the class.

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q2) Of the students attending a school party, 60% of the students are girls, and 40% of students like to dance. After these students are joined by 20 more boy students, all of whom like to dance, the party is now 58% girls. How many students now at the party like to dance?

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q3) In an examination, there are 100 questions. A student is awarded 12 marks for each correct answer.He loses 3 marks for each wrong answer and loses 2 marks for each unattempted question. The net score of Hari in that test is 625. The number of ways in which Hari could have attempted the exam is ?

@hemant_malhotra Is It 2?

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q4) If the letters of the word REGULATIONS are arranged at random, the chances that there will be exactly four letters between R and E is

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q5) How many three digit odd nos. can be formed from the digits : 2, 0, 3, 5? (repetition not allowed).

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q6) How many different arrangement can be made out of the letters in the expression a^3 b^2 c^4 when written at full length?

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q7) In a class of 33 students, 20 play cricket, 25 footballs and 18 table tennis.15 play both cricket and football, 12 play football and table tennis, 10 table tennis and cricket. Each student plays at least one game. Find the number of students:
Q.1 Who play only cricket?
Q.2 Who play all the three games?
Q.3 Who play only two games?
Q.4 Who play only one game?

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q8) A bouquet of 25 flowers is to be made out of 4 different types of flowers, namely Rose, Sunflower, Jasmine and Carnation. Sufficient numbers of flowers are available of each type. Minimum five roses and five sunflowers mu st be used. At least one flower of each other type must be used while making the bouquet. Calculate the total number of ways in which the flowers for the bouquet can be selected.
a) 100
b) 150
c) 560
d) None of these

hemant_malhotra
Director at ElitesGrid  CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q9) Out of 8 students in Section A, 10 students in Section B and 12 students in Section C, a teacher wants to create a team of three to represent the school in interschool quiz competition. In how many ways the team can be formed such that all the members of the team are not from the same section?