CAT Questions

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The police ought to find out the lackenings in existing security arrangements and make up for these inadequacies to strengthen security and thus prevent criminal activities in the forthcoming festival. So, both a and b follow. Arresting the known criminals does not ensure safety, for a novice can also indulge in crime. So, c does not follow.

Air pollutants are solid particles, gases, and liquid droplets in the air that can adversely affect ecosystems and the health of humans.

Major ambient air pollutants include toxic metals, polycyclic aromatic hydrocarbons, benzene, particulate matter (PM), nitrogen oxides, sulfur oxides, carbon monoxide, and ozone. Power plants, factories, and vehicle and air traffic are the most important anthropogenic sources of air pollution.

In addition, natural sources such as wildfires and volcanic activity contribute to ambient air pollution.

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

Here we know, that 3, 4, 5 are pythagorean triplets as 25 = 9 + 16. Hence, its multiple will also be a pythagorean triple.

In the options given, (3 x 11 , 4 x 11 , 5 x 11) = 33, 44, 55 is a pythagorean triplet.  

Let the two different rates of interests be r1 and r2 respectively.

From the given data,

$$\begin{gathered} 2600 x 4 x r1 - r2100 = 402.80 \\ r1 - r2 = 402.80104 = 3.87 \end{gathered}$$

Hence, the difference in the interest rates = 3.87