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Q #11
⏰ :

Directions: Read the following information to answer the question.

A survey of 145 persons was conducted regarding their reading habits of three magazines – Business India, Business World and Business Today. It was found that every reader of Business World also reads either Business India or Business Today. The number of persons reading all three magazines is the same as the number of persons who read none of the magazines. Sixty persons read exactly two magazines and sixty five persons read only one magazine. How many people read all three magazines?

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We have g = x

d + e + f = 60

a + b + c=65

a + b + c + d + e + f + g + x = 145

65 + 60 + 2g = 145

2g = 20

g = 10   


Q #12
⏰ :

Directions: Read the following information to answer the question.

In a class, every boy is friends with exactly four girls and every girl is friends with exactly three boys. It is known that there are only 17 desks, each of which can hold not more than four students. If there are 59 students in the class who study German, find the number of students in the class.

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The minimum possible strength of the class = 59

    The maximum possible strength of the class = 17 x 4 = 68.

    The total number of friendships in the class is either 4b or 3g (where b is the number of boys and g is the number of girls)

    Hence = 4b = 3g

    ⇒g : b = 4 : 3.

    ⇒ The total number of students must be a multiple of 4 + 3 = 7

    ∴ The only possible multiple of 7 which lies between the minimum possible strength of the class and the maximum possible strength of the class is 63.

 


Q #13
⏰ :

Directions: Read the following information to answer the question.

The fourth and the fifth terms of a sequence, S, are 18 and 36 respectively. If S' is the series formed by taking the differences of adjacent terms of S and each term of (S')' is equal to 4, then what is the eight term of the sequence S?

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Q #14
⏰ :

Directions: Read the following information to answer the question.

All Analysts are Engineers. One-third of all Engineers are Analysts. Half of all Technicians are Engineers. One Technician is an Analyst. Eight Technicians are Engineers. If the number of Engineers is 90, how many Engineers are neither Analysts nor Technicians?

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Q #15
⏰ :

Directions: Read the following information to answer the question.

If the first three numbers of an arithmetic series are 3x, 2x + 8 and 6x – 4, then what is the sum of the first 10 numbers of that sequence?

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2x + 8 = 3x = 6x – 4 –2x – 8

    8-x = 4x – 12

    x = 4

    Sum of 10 terms = 10 (2*12+9*4)/2 = 300