Problems based on Numbers Test 2

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Question : 6 of 40

Marks: +1, -0

Let

a = 2^129 × 3^81 × 5^128

,

b = 2^127 × 3^81 × 5^128

,

c = 2^126 × 3^82 × 5^128

and

d = 2^125 × 3^82 × 5^129

.
Then, which among the following if correct

b > c > d > a
b < c < a < d
b > c > a > d
b < c < d < a

Solution:

a = 2^129 × 3^81 × 5^128

,

b = 2^127 × 3^81 × 5^128

,

c = 2^126 × 3^82 × 5^128

and

d = 2^125 × 3^82 × 5^129

In a, b, c and d,

2^125×3^ 81×5^ 128

is common.
Now the value a, b and c.

a=2^4×3^0×5^0=16

b=2^2×3^0×5^0=4

c=2^1×3^1×5^0=6

d=2^0×3^1×5^1=15

So, b < c < d < a.

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