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Q:

If $x^{2} + (1 / x^{2}) = 1$ , then what is the value of $x^{48} + x^{42} + x^{36} + x^{30} + x^{24} + x^{18} + x^{12} + x^{6} + 1$ ?

A) -9	B) 0
C) 1	D) 9

Answer & Explanation Answer: C) 1

Explanation:

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Filed Under: Simplification
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Q:

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of $(a^{2} + b^{2} + c^{2})$ ?

A) 75	B) 83
C) 217	D) 225

Answer & Explanation Answer: B) 83

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Q:

If $x^{1 / 4} + x^{- 1 / 4} = 2$ , then what is the value of $x^{81} + (1 / x^{81})$ ?

A) -2	B) 0
C) 1	D) 2

Answer & Explanation Answer: D) 2

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Q:

If $(x^{2} / yz) + (y^{2} / zx) + (z^{2} / xy) = 3$ , then what is the value of ${(x + y + z)}^{3}$ ?

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: A) 0

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Q:

Which one of the following is a true fish as per the biological system of classification?

A) Silverfish	B) Jellyfish
C) Cuttlefish	D) Flying fish

Answer & Explanation Answer: D) Flying fish

Explanation:

Cuttlefish or cuttles are marine animals of the order Sepiida. They belong to the class Cephalopoda, which also includes squid, octopuses, and nautiluses. Cuttlefish have a unique internal shell, the cuttlebone. Despite their name, cuttlefish are not fish but molluscs.

Jellyfish are soft bodied, free-swimming aquatic animals with a gelatinous umbrella-shaped bell and trailing tentacles.

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Filed Under: Animals and Birds
Exam Prep: Bank Exams

Q:

Statement I :

A person may suffer from tuberculosis if she/he frequently visits crowded place.

Statement II :

Bacteria of tuberculosis spread through droplets by sneezing or coughing.

A) Both the statements are individually true and Statement II is the correct explanation of Statement I	B) Both the statements are individually true but Statement II is not the correct explanation of Statement I
C) Statement I is true but Statement II is false	D) Statement I is false but Statement II is true

Answer & Explanation Answer: D) Statement I is false but Statement II is true

Explanation:

Tuberculosis (TB) is caused by a type of bacterium called Mycobacterium tuberculosis.

It's spread when a person with active TB disease in their lungs coughs or sneezes and someone else inhales the expelled droplets, which contain TB bacteria.

One would have to spend prolonged periods (several hours) in close contact with an infected person to catch the infection yourself.For example, TB infections usually spread between family members who live in the same house. It would be highly unlikely for you to become infected by sitting next to an infected person on a bus or train. Hence, statement 1 is incorrect.

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Filed Under: Biology
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Q:

If $\frac{\sin θ + \cos θ}{\sin θ - \cos θ} = 3,$ then the value of $\sin^{4} θ - \cos^{4} θ$ is

A) 4/3	B) 3/4
C) 5/3	D) 3/5

Answer & Explanation Answer: D) 3/5

Explanation:

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Q:

In $∆ A B C$ if the median AD=1/2 BC, then $∠ B A C$ is

A) 90°	B) 45°
C) 60°	D) 75°

Answer & Explanation Answer: A) 90°

Explanation:

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