GATE Questions

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Any integer 'i' can be written as i = i/1, which is a rational number. Clearly, 7/2,-5/4, etc... are rational numbers but they are not integers.

Hence, from the above analysis, every integer is a rational number but a rational number need not be an integer.

Therefore the given statement that 'Every rational number is an integer' is FALSE.

Sound intensity or level is measured by a unit called a decibel. An 85 decibel noise level is not a safe standard for the public.

Hence, Acceptable noise level for human ear is less than 85 db.

Let initial investment of A = x
Ratio of profit A : B : C = 12 × x : 6×4500 :4×4500
A :B:C = x : 2250: 1500
Now ATQx/(x+2250+1500) = 4900/10000
solving this we get,x ≈ Rs 3600

What has 4 Eyes But cannot see is Mississippi.

The wording of Mississippi has 4 'i''s. But it can't see.

ACTH means Adrenal Corticotrophic Hormone.

CRH - Corticotrophin Releasing Hormone produced by hypothalamus stimulates the pituitary gland to release the ACTH which in turn produces corticosteroid hormones by adrenal glands.

Hence, the given statement is TRUE.

Sulfur vulcanisation is a chemical process for converting natural rubber or related polymers into more durable materials by heating them with sulfur. By this they achieve improved elasticity, resilience, tensile strength, viscosity, hardness and weather resistance.

$$\begin{gathered} 7 + 7 ÷ 7 + 7 x 7 + 7 - 7 ÷ 7 + 7 x 7 \\ = 7 + 1 + 49 + 7 - 1 + 49 \\ = 8 + 56 + 48 \\ = 56 + 56 \\ = 112 \end{gathered}$$