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SSC CGL 2018 PYQ — Question 53

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q53

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Instructions: The table given below shows the ratio of cars and Bikes manufactured by 5 different companies. The table also shows the ratio of three different types of cars C1, C2 and C3 and three different types of bikes B1, B2 and B3 manufactured by these 5 different companies. Total numbers of car and bikes together manufactured by D, E, F, G and H are 300000, 280000, 320000, 400000 and 480000 respectively.

Company Car : Bike C1 : C2 : C3 B1 : B2 : B3
D 1 : 02 2 : 03 : 05 2 : 02 : 01
E 3 : 01 1 : 01 : 01 2 : 03 : 02
F 1 : 01 2 : 01 : 01 1 : 01 : 02

G

 3 : 01 2 : 03 : 01 1 : 02 : 02
H 1 : 02 1 : 02 : 01 2 : 01 : 05

 

A = Total number of cars manufactured by all the companies.

K = Difference between the number of C3 type cars manufactured by company H and the number of B3 type bike manufactured by company E.

What is the value of A : K?

Show answer & explanation

Correct answer: B

Explanation

 The correct answer is option 2 i.e. 93 : 2

Application

A = Total number of cars manufactured by all the companies

= 300000 × 1/3 + 280000 × 3/4 + 320000 × 1/2 + 400000 × 3/4 + 480000 × 1/3

= 100000 + 210000 + 160000 + 300000 + 160000

= 930000

K = Difference between the number of C3 type cars manufactured by company H and the number of B3 type bike manufactured by company E

= 480000 × 1/3 × 1/4 – 280000 × 1/4 × 2/7

= 40000 – 20000

= 20000

Hence,

A : K = 93 : 2