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SSC CGL 2018 PYQ — Question 75

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q75

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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 Cl, C2 and C3 and three different types of bikes al, 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

 

The average of 35 consecutive even numbers is 44. Find the smallest number.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 10

Understanding

Application

The average of 35 consecutive even numbers is 44.

Suppose the smallest number is x.

So,

[x + (x + 2) + (x + 4) + (x + 6) …….. + (x + 68] = 44 × 35

[35x + 2 × (34 × 35)/2] = 1540

35x + 1190 = 1540

35x = 350

x = 10

Hence,

Smallest number = 10