CAT Questions

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The given number series is 120, 36, 6, 2, 1, 1

120

120/5 = 24 (not 36)

24/4 = 6

6/3 = 2

2/2 = 1

1/1 = 1

Hence, the odd man in the given number series is 24.

There are 16 small cubes attached to the outer walls of the cuboid.
Therefore remaining inner small cubes will be the cubes having two sides green coloured.
So the required number = 24 - 16 = 8

In India, Tropical Moist Deciduous Forest occupies the largest area. The tropical monsoon deciduous forests are found in areas receiving annual rainfall of 100 to 200 cms in India, with a distinct dry and rainy seasons and a small range of temperature. They occur on the wetter western side of the Deccan Plateau, the north-eastern part of the Deccan Plateau and the lower slopes of the Himalayas, on the Siwalik Hills from Jammu in the west to West Bengal in the east.

They cover parts of Chhattisgarh, Orissa, Bihar, Jharkand, Andhra Pradesh, Karnataka, Kerala and Tamil Nadu.

The given number series is 10, 21, 54, 109, 189

The series follows a pattern that

10 + 11 = 21

21 + 33 = 54

54 + 55 = 109

109 + 77 = 186

Hence the wrong number in the given number series is 189.

The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)

=> 8:13

=> 8/21 x 630 = 240.

The given number series 100, 101, 97, 105, 90

100

100 + 1^2 = 101

101 - 2^2 = 97

97 + 3^2 = 106 ( not 105)

106 - 4^2 = 90

Hence, the odd man in the given series is 105.

Given number of boxes = 14

Number of workers = 4

Now, number of whole boxes per worker = 14/4 = 3.5 

Hence, number of whole boxes per each coworker = 3